Answer:
$29.68 to drive 350 miles
Step-by-step explanation:
To find the cost of driving 350 miles, we first need to calculate the amount of gasoline required for driving 350 miles. We can use the formula:
gasoline = distance ÷ miles per gallon
Plugging in the given values:
gasoline = 350 ÷ 33
gasoline = 10.606060606060606
So, we need 10.61 gallons of gasoline to drive 350 miles.
Next, we multiply the amount of gasoline needed by the cost per gallon to find the total cost:
total cost = gasoline × cost per gallon
total cost = 10.61 × 2.80
total cost = 29.6780
Therefore, it would cost approximately $29.68 to drive 350 miles when gasoline costs $2.80 per gallon and your car gets 33 miles per gallon.
Answer: 350 mi * 1 gal / 33 miles * $2.80 / 1 gal = 29.69$
which means the cost is 2.8*(350/33)=29.69$
Step-by-step explanation:
Here, 2.80$/1 Gal.
Now we need to cancel out gallons, so we add a ratio with gallons.
2.80$/1 Gal. x 1 Gal/33 mi.
Now add the last data element to cancel out miles.
2.80$/1 Gal. x 1 Gal/33 mi. x 350 mi.
Cancelling out units and numbers gives,
(2.80$ x 350)/33. Continue reducing to an answer:
980$/33 = 29.69$
Bill works for the stuff-it mailing service. He receives 25 cents for each document he puts together and prepares for mailing. Last week, bill prepared 2,000 documents for mailing for a local politician. He received a check with gross pay of $474 and is certain the amount is incorrect. A. What is bill's correct total piecework pay? b. How much does his boss owe him?.
Using the unitary method we found that the amount that Bill should receive is $500 and the amount that his boss owes him is $26.
What is meant by the unitary method?
The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. Once we have determined the value of a single unit, we may multiply that value by the number of units needed to determine the value of the other units. The concept of ratio and proportion is mostly applied using this way. Recognizing the units and values is crucial when using the unitary technique to a problem.
Given,
Money received for each document = 25 cents
Number of documents prepared by Bill = 2000
The amount he received = $474
a) The correct total pay that Bill should receive = 2000*25 = 50,000cents
Using the unitary method,
1 dollar = 100 cents
50,000 cents = 50000/100 = $500
b) The amount that his boss owes him = 500 - 474 = $26
Therefore using the unitary method we found that the amount that Bill should receive is $500 and the amount that his boss owes him is $26.
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What was the first target of the huac hearings? communist infiltration in the u. S. State department communist infiltration in the entertainment industry communist influence in the democratic party communist influence in non-governmental organizations.
"Communist infiltration in the entertainment industry" was the first target of the HUAC hearings among the following choices given in the question.
HUAC was created in 1938 to investigate alleged disloyalty and rebel activities on the part of private citizens, public employees and organizations suspected of having Communist ties.
Originally organized as a minor congressional committee investigating domestic subversion, HUAC (also known as the House Un-American Activities Committee) rose to such power in the late 1940's and early 1950's that the mere threat of investigation by it could ruin a person's career. By the time it was abolished in 1975, HUAC had widened its scope of investigation to include almost every aspect of American society.
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Two angles are supplementary angles if the sum of their measures is 180°.
Find two supplementary angles such that the measure of the first angle is 26° less than
three times the measure of the second.
The measure of the first angle is____ft.
The measure of the first angle is 128. 5 degrees
How to determine the angleFrom the information given, we have that;
The two angles are supplementaryThe sum up to 180 degreesThe first angle is 3x - 26Let the second angle be x
We have the representation as;
3x - 26 + x = 180
collect the like terms, we get;
3x + x = 180 + 26
Add or subtract the like terms
4x = 206
Make 'x' the subject of formula by dividing by the coefficient of x, we get;
x = 206/4
divide the values
x = 51.5 degrees
Then, the angle is 128 .5 degrees
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Hello I need help please
Answer:
(-9)×(-7/3)=9×7/3=3×7=21
Answer:
21
Step-by-step explanation:
-9 is equal to -9/1
the negative sign on the -7/3 can be put on the top or bottom
-9 -7 63
--- x --- = ---
1 3 3
63 divided by 3 equals 21 and is therefore in the simplest form
Show the expression ^2−−6 in factored form and explain what the solution would mean for the equation.
The expression x²−−6 can be factored as:
[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]
What is Factoring an expression?
A numerical or algebraic expression is factored when it is written as a product of factors. The distributive property can be used to factor expressions.
The expression x²−−6 can be factored as:
[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]
The solutions for this equation would be x = √6 or x = -√6. These are the values of x that make the expression equal to zero.
Factoring the expression in this way can be useful in solving related equations or in finding the roots of a quadratic function. It also helps in visualizing the graph of the function, as the factored form shows the x-intercepts, which are the points where the graph crosses the x-axis.
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Current assets are assets that are expected to be converted to cash, sold or consumed in the next
12 months. They include cash, accounts receivable, notes receivable, inventory and prepaid
expenses. Step 8 explains each one in detail.
1. You are the owner of an appliance store. Choose four categories from above and explain how
that asset may fit into your business. For example, if I owned a company that installed furnaces,
my inventory would include different types of furnaces and air conditioners as well as controls
to operate them. Accounts receivable would include the installations we did but have not been
paid for yet.
How these current asset may fit into your business, like mine, is explained as follows:
Cash: Cash is a crucial asset for any business, as it is needed to pay for expenses such as salaries, rent, and other operating costs.Accounts Receivable: It represents the amount of money owed to the business by its customers and is a key part of the business's revenue stream. Inventory: Inventory represents the value of the goods that are available for sale and can include raw materials, work-in-progress, and finished products.Prepaid Expenses: Prepaid expenses can be a helpful asset for businesses that make regular payments for services or goods, such as insurance or rent. Explanation on items of the Current assets:Cash: Cash refers to physical currency or money that is readily available to a business or individual. It includes cash on hand, in bank accounts, or other forms of liquid assets that can be easily converted to cash.Accounts Receivable: Accounts receivable refers to the amount of money owed to a business by its customers or clients for goods or services that have been sold but not yet paid for. It represents the short-term credit that a business has extended to its customers.Notes Receivable: Notes receivable are similar to accounts receivable but involve more formal written agreements. They are written promises by a borrower to pay a specific sum of money at a future date to a creditor, with interest.Inventory: Inventory refers to the goods that a business holds for sale to customers or for use in its operations. It includes raw materials, work-in-progress, and finished goods that have not yet been sold.Prepaid Expenses: Prepaid expenses refer to payments made by a business for goods or services that have not yet been used or consumed. They are considered assets because they represent future economic benefits that will be realized by the business. Examples include prepaid rent, insurance premiums, and other prepayments.Read more about Current assets
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The longer leg of a right triangle is nine less than three times the shorter leg. The
hypotenuse is two more than the longer leg. What is the length of the hypotenuse if the
perimeter is 24?
Answer: 71/7
Step-by-step explanation:
I like this problem a lot!
Let the shorter leg length be x:
then the longer leg length is 3x - 9
the hypotenuse length is (3x - 9) + 2 = 3x - 7
Perimeter of Triangle = Sum of all 3 sides of a triangle
24 = x + (3x - 9) + (3x - 7)
24 = 7x - 16
40 = 7x
.: x = 40/7
.: hypotenuse = 3x - 7 = (120/7) - 7 = 71/7
Done!
Andrea and Stanley have decided on a $320,000 mortgage value for this new house. They are comparing two mortgage
options from two different lending institutions. They know they want a 30-year term, but they aren't sure which instituti
would be a better fit. Mortgage B institution is closer to their home, and they aren't sure the difference in monthly paym
is worth partnering with someone farther away.
Mortgage A: 4.5% with monthly payments of $1621.39 and a total payback of $583,700.40
Mortgage B: 5% with monthly payments of $1717.83 and a total payback of $618,418.80
How much will Andrea and Stanley save by choosing Mortgage A?
Provide your answer below:
They will save $ by choosing Mortgage A
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In linear equation, $ 618,418.80 will Andrea and Stanley save by choosing Mortgage A .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Total Payback = Instalment Amount * No. of Instalments
Mortgage A:
= $1621.39 * 360
= $ 583,700.40
Mortgage B:
= $1717.83 * 360
=$ 618,418.80
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Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d. Justify your answer.2x + 4y = f
cx + dy = g."
Not quite sure what is meant by the question "what can you say." My only thought so far is that If the system is consistent, that means x and y have the same value for both equations:
x(2 + c) + y(4 + d) = f + g, which, if c = f+g, fits into the form ax + by = c. But that's about it.
We can know that she can be any value but these 15 times the value of C. The given system is consistent to all the possible values of f and g, the reduction of the row of the augmented matrix must not result in the row of form [0 0 ... 0 | b]where B is nonzero.
By looking the row reduction in the system we can see the 2nd row reduces to [0 0 ...0 | d-15c-g+f]. Since f and g can be any values we can make them both 20 which denotes d - 15 C is equals to zero, or d equals to 15C.
d-15c = 0, or d = 15c.
Therefore we can know that she can be any value but these 15 times the value of C.
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Select the items that describe possible effects of incentives for political leaders.
The Possible effects of incentives for political leaders includes options 1, 2, 3, and 4. These options elaborate the incentives of political leaders.
Favor programs with immediate benefits: Political leaders may be incentivized to prioritize policies or programs that provide immediate benefits to their constituents in order to increase their popularity and chances of reelection.
Implement policies that favor a small, powerful group: Incentives for political leaders may also lead them to implement policies or regulations that favor a small, powerful group, such as major donors or influential interest groups, at the expense of the general public.
Provide policies whose costs outweigh the benefits: Political leaders may be incentivized to implement policies that provide short-term benefits but have long-term costs or consequences, such as a large budget deficit or environmental degradation.
Favor programs with immediate costs: Alternatively, incentives may lead political leaders to prioritize programs or policies with immediate costs, such as increased taxes or reduced spending, to address pressing issues and avoid long-term consequences.
Therefore, options 1, 2, 3, and 4 describe possible effects of incentives for political leaders.
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____The given question is incomplete, the complete question is given below:
Select all the items that describe possible effects of incentives for political leaders. 1.favor programs with immediate benefits 2.implement policies that favor a small, powerful group 3.provide policies whose costs outweigh the benefits 4.favor programs with immediate costs
HELP PLSSSSSSSSSSSSSSSSSS
Answer: A) 6
Step-by-step explanation:
This is geometry. The two angles are corresponding angles, because they are both cut by the same **transversal line**. When that occurs, corresponding angles are created.
now importantly: corresponding angles are equal to each other, or **congruent**. Knowing this, we can set them equal to each other.
17x+11=19x-1
Solve...
11=2x-1
12=2x
x=6
hope this helps
MM
2. I am a regular polygon. One of my interior angles is 135°. What size is one of
my exterior angles?
Answer:
45°
Step-by-step explanation:
Given a polygon with an interior angle of 135°, you want to know the measure of the corresponding exterior angle.
Exterior angleAt any given vertex of a polygon, the interior and exterior angles are supplementary:
exterior angle = 180° - interior angle
exterior angle = 180° -135°
exterior angle = 45°
Answer: The sum of the interior angles of a regular polygon can be found using the formula:
(n-2)180°, where n is the number of sides of the polygon.
Let's call the number of sides of the polygon "s".
We know that one of the interior angles is 135°, so we can set up an equation using the formula for the sum of the interior angles:
s * 135° = (s-2)180°
Expanding the right side of the equation:
s * 135° = (s-2) * 180°
s * 135° = s * 180° - 360°
Solving for s:
135° = 180° - 360°/s
135° = 180° - 2 * 180°/s
135° = 180° - 2 * (180°/s)
180° - 135° = 2 * (180°/s)
45° = (180°/s)
So, s = 180° / 45° = 4 sides.
The size of one exterior angle can be found by subtracting each interior angle from 360°:
360° - 135° = 225°.
Therefore, one exterior angle of the polygon is 225°.
Step-by-step explanation:
Which rules define the function graphed below? y=2x+3, y=-1/3x+3
piecewise function defines the function graphed between y=2x+3 and y=-1/3x+3.
How to compare linear equations?
The comparison method, a procedure for solving systems of independent equations, starts by rewriting each equation with the same variable as the subject. Any of the variables may be chosen as the first variable to isolate. Each equation is now an isolated-subject equation, and equation where one variable is isolated.
Given:
y = 2x+3
y = -1/3x+3
The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that but I'll set that aside for the other portion).
The right portion is the line y = -1/3x + 3 and it's only graphed when
Both lines have y-intercept 3.
The slopes are 2 and -1/3.
The equations are
y = 2x + 3; y = -1/3 x + 3e could have this piecewise function
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Angela fully charged her laptop, then unplugged it and tracked the battery level at certain times under constant use. The table below shows her findings. The equation for the line of best
fit is below. Use the equation to estimate the battery level after two hours of constant use unplugged. Round to the nearest percent. (2:00 is an x-value of 0)
The battery level after two hours of constant use unplugged is found replacing the instance of x on the line of best fit by 2.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The variables for this problem are given as follows:
Variable x: time in hours.Variable y: battery percentage.Hence after a time of two hours the battery level is found as the numeric value at x = 2.
Missing InformationThe problem is incomplete, hence the general procedure to solve the problem is presented.
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Two numbers are in the ratio of 2:3. If 15 is added to both the numbers, then the ratio betwee two numbers becomes 11: 14. Find the greater number.
Answer:
Below
Step-by-step explanation:
(2x+15) / ( 3x+15) = 11/14 cross multiply to get
28x + 210 = 33x + 165
45 = 5x
x = 9 so the larger number is 3 X 9 = 27
(smaller number is 2 x 9 = 18)
The Nutty Professor sells cashews for $7.70 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 30 pound mixture that sells for $6.08 per pound?
Round answers to the nearest pound.
The mixture should contain 12 pounds of cashews and 18 pounds of Brazil nuts.
What is Mixture?A physical combination of two or more unrelated substances is referred to as a mixture. For instance, water and salt are two different substances that, when combined, form a combination.
According to question:Let's call the amount of cashews used in pounds "x". The amount of Brazil nuts used in pounds can be calculated as 30 - x.
We know that the total cost of the mixture is $6.08 per pound * 30 pounds = $182.40.
The cost of the cashews in the mixture is $7.70 per pound * x pounds =$7.70x.
The cost of the Brazil nuts in the mixture is $5.00 per pound * (30 - x) pounds = $150 - $5.00x.
The total cost of the cashews and Brazil nuts in the mixture must equal $182.40, so we can set up the equation:
$7.70x + ($150 - $5.00x) = $182.40
Expanding and simplifying the equation:
$2.70x = $32.40
Dividing both sides by 2.70:
$x = 12
So, the mixture should contain 12 pounds of cashews and 18 pounds of Brazil nuts.
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What is the answer
? I’ve been having triuble
Answer:
120°
Step-by-step explanation:
We need to find the missing angle <SRM
The angles inside a triangle always add up to 180°. So this means:
<TSR+<STR+<TRS=180°
65°+55°+<TRS=180°
120°+<TRS=180°
<TRS=180°-120°=60°
All angles along a straight line add up to 180°. This means:
<TRS+<SRM=180°
60°+<SRM=180°
<SRM=180°-60°=120°
Answer:
120° is the answer please mark. brainly
Winston planned to spend no more than $150 on a helmet and goggles for skiing. After
spending $90.50 on a helmet, he bought a pair of goggles that put him over his budget.
Let x represent the cost of the goggles. Which inequality describes the problem?
90.50 + x>
150
90.50 + x <
150
Solve the inequality. Then, complete the sentence to describe the solution.
The goggles cost more than $
Submit
Answer:
(a) 90.50 +x > 150The goggles cost more than $59.50Step-by-step explanation:
You want an inequality and its solution for finding the cost of goggles that put Winston over his $150 budget when combined with the purchase of a $90.50 helmet.
Total costIf x represents the cost of the goggles, then Winston's total spending is ...
90.50 + x
If that is over is $150 budget, the relation is described by ...
90.50 +x > 150
SolutionSubtracting 90.50 from both sides gives ...
x > 59.50
This tells us the goggles cost more than $59.50.
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Upon enlisting in the Marine Corps. I was given the
)
opportunity to create a College Sovings fund for every
$1.00 I deposited the government would deposit
an additional $2.00 with a max of $100.00/month.
If I deposited the max each month how much money did I have
at the end of 5 years if I started with $100.00
Answer:
Step-by-step explanation:
Here's a step-by-step explanation of the solution:
Calculate the government deposit: For every $1.00 you deposit, the government deposits $2.00. So if you deposit the maximum of $100.00 each month, the government deposit would be $100.00 * $2.00 = $200.00.
Calculate the total deposit each month: The total deposit each month is the sum of your deposit and the government deposit, so it would be $100.00 + $200.00 = $300.00.
Calculate the number of months: You started with $100.00 and made the maximum deposit of $100.00 each month for 5 years. Five years is 5 * 12 = 60 months.
Calculate the total deposit over 5 years: Over 5 years, you made 60 deposits of $300.00 each, so the total deposit over 5 years would be 60 * $300.00 = $18,000.00.
Calculate the final balance: Adding the initial deposit of $100.00 to the total deposit over 5 years, the final balance in your account after 5 years would be $18,000.00 + $100.00 = $18,100.00.
So, at the end of 5 years, if you deposited the maximum of $100.00 each month into the College Savings fund, you would have $18,100.00 in your account.
Algebra 1, slope of coordinate plane on table
The y-intercept of the line passing through the given points is -26 and the slope is -13/17
What is y-intercept?The y-intercept is the point where the graph intersects the y-axis.
Given that, the pair of coordinates of some points, we need to find the y-intercept,
To find the same, we will firstly find the equation of the line passing through these points,
We know that, the equation of a line passing through two points is given by,
y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Considering the points, (34, -52) and (51, -65)
The equation will be,
y+52 = -65+52 / 51-34 (x-34)
y+52 = -13/17(x-34)
y+52 = -13x/17+26
y = -13x/17-26
Hence, the y-intercept of the line passing through the given points is -26.
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18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
In isosc tri(ABC),AC=BC,AB=6 in., line segment cd is parrelel to line segment ab, and CD= sqrt(3) in find the perimeter of the isosc triangle
On solving the provided question we can say that median from the vertex in an isosceles triangle is perpendicular to the base.
What is triangle?ƒ(x)=sin(x)
consider Asin(Bx + C) = y +D changes the amplitude of the function (how high or low it is).
if you want to
Because it has three sides and three vertices, a triangle is a polygon. It is a fundamental geometric shape. Triangle ABC is the name given to a triangle with the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. A triangle is a polygon because it has three sides and three corners. The triangle's corners are defined as the points at which the three sides meet. The sum of three triangle angles yields 180 degrees.
Let O be the circle's centre and P be the midpoint of BC. After that, OP LBC.
Let AP =x and PB = CP -y.
Applying Pythagoras theorem in As AP B and OP B, we have
AB2 = BP2 + AP2 and OB2 = OP2 +BP2
Y2 +x2 ... (i) and, 81 = (9 —x)2 + Y2
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I ALSO NEED HELP WITH THIS TOO
Answer:
Step-by-step explanation:
Two angles are said to be supplementary when their sum is equal to 180°.
Given angle 1 and 50° are supplementary.So, angle1+50°= 1880°
angle1 =180°-50°
angle 1=130°
Given 50° and angle 3 are supplementary
So,50°+ angle 3=18=0°
angle 3=130°
So angle 1 equals to angle
Please help!!!!! Due tomorrow need to understand how to properly do this question :(
The table offers an average rate of change greater than the average rate of change of the function f(x) = x² + 2 · x - 1.
How to determine the average rate of change of a function
In this problem we need to determine two average rates of change, one from an equation and another from a table. Graphically speaking, average rate of change is the slope of a line secant to a curve and it can be computed by secant line formula:
m = [f(2) - f(- 2)] / [2 - (- 2)]
First, we proceed to determine the average rate of change for the function f(x) = x² + 2 · x - 1:
f(- 2) = (- 2)² + 2 · (- 2) - 1
f(- 2) = 4 - 4 - 1
f(- 2) = - 1
f(2) = 2² + 2 · 2 + 1
f(2) = 9
m = [9 - (- 1)] / [2 - (- 2)]
m = 10 / 4
m = 5 / 2
m = 2.5
And the average rate of change of the table:
m = (6.25 - 0.16) / [2 - (- 2)]
m = 0.09 / 4
m = 609 / 400
m = 1.523
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Decide whether the following statement is
always, sometimes, or never true. Explain your reasoning.
Any decimal that ends with a digit in the thousandths place can be
written as a fraction with a denominator that is divisible by both 2 and 5.
Yes, the given statement is true that any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5.
What is Fraction?A fraction is a part of a whole number, and a way to split up a number into equal parts.
Given that;
The statement is about the decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5.
Now, A fraction is terminating decimal as if the denominator of the fraction contains terms in the form of 2ᵃ, 5ᵇ or 2ᵃ x 5ᵇ.
Then, It is said that, there is a digit in thousandth place.
Hence, the statement given is true that any decimal that ends with a digit in the thousandths place can be written as a fraction with a denominator that is divisible by both 2 and 5.
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Find the difference between the simple interest
and compound interest on 16000 at 5%
per annum at the end of one and a half year
if the interest is compounded half yearly.
Answer: The simple interest on 16000 at 5% per annum for 1.5 years is calculated as:
I = P * r * t
I = 16000 * 0.05 * 1.5
I = 1200
The compound interest on 16000 at 5% per annum compounded half yearly for 1.5 years is calculated as:
A = P * (1 + r/n)^(nt)
A = 16000 * (1 + 0.05/2)^(2 * 1.5)
A = 16000 * (1.0253)^3
A = 16000 * 1.07897
A = 17253.576
The difference between the compound interest and simple interest is:
17253.576 - 1200 = 16053.576
So the difference between the simple interest and compound interest is 16053.576.
Step-by-step explanation:
The wheel of a car has an outer radius of 25 cm. Calculate: a how far the car has travelled after one complete turn of the wheel, b how many times the wheel turns for a journey of 1 km.
Answer: a) 1.57 m .
b) 637.79 turns
Step-by-step explanation:
a) The circumference of the wheel can be used to determine how far the vehicle has travelled after making one full turn.
Circumference = 2πr = 50π
C = 157 cm
b)By dividing the entire distance traveled by the diameter of the wheel, we can determine how many times the wheel will turn over a ride of 1 km (1000 meters): 1000 m / 1.57 m = 637.79 turns.
What is the first quartile of the data set represented by the box plot shown
below?
13 20 25
A. 25
B. 40
C. 20
D. 13
40
48
The first quartile of the data set represented by the box plot shown in the figure is 20 option 'C' is correct.
What is the first quartile of the data set?
The lower quartile, or first quartile (Q1), is the value under which 25% of data points are found when they are arranged in increasing order. The upper quartile, or third quartile (Q3), is the value under which 75% of data points are found when arranged in increasing order.
Since we have given a box and whisker plot.
As we know about the box and whisker method that :
Left most part of the box represents the first quartile and the rightmost part of the box represents the third quartile.
And the middle value is for median
so, we can conclude that
First quartile = 20
Third quartile = 40
Median = 25
Hence, the first quartile of the data set represented by the box plot shown in the figure is 20 option 'C' is correct.
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(2x-5y=4
4x=8+10y
Solve for X and Y
Answer:
Step-by-step explanation:
To solve this system of two equations with two variables (x and y), we'll use the substitution method. Here's how:
Solve one of the equations for either x or y, in terms of the other variable. Let's solve the first equation, 2x - 5y = 4, for x:
x = (4 + 5y)/2
Substitute the expression for x from step 1 into the second equation, 4x = 8 + 10y:
4(4 + 5y)/2 = 8 + 10y
Simplify the equation from step 2:
8 + 10y = 8 + 10y
Solve for y by subtracting 8 from both sides:
10y = 10y
Divide both sides by 10 to find the value of y:
y = y
Now that we have the value of y, we can substitute it back into the expression for x from step 1:
x = (4 + 5 *y)/2
So the solution to the system of equations is (x, y) = ((4 + 5 *y)/2, y=y).
Convert 40 fluid ounces to pints.
Answer:The answer is 2.5 pints.
