Solve this using substitution x=-3y+5
x+9=4y
Answers
Can I get a Brainly pls
Answer: x=-1 & y=2
Step-by-step explanation:
x = -3y+5
^^^substitute this equation into x in the second equation
(-3y+5)+9 = 4y
-3y+14 = 4y
Add +3y on both sides
14 = 4y+3y
14 = 7y
divide both sides by 7
y = 2
substitute y into either equation (I'm doing the first one)
x = -3(2)+5
x = -6+5
x = -1
Related Questions
in chemistry class, Pavel combined 80ml of a solution that was 30% saline with 20ml of a solution that was 90% saline. What is the concentration of saline in the mixture? Build a table to solve this problem.
help pls
Answers
The saline concentration of the mixture expressed as a percentage is 42%
What is a percentage?A percentage is the expression of a quantity as a fraction that has a denominator of 100.
The volume of the solution that is 30% saline = 80 ml
The volume of the solution that is 90% saline = 20 ml
The concentration of the saline in the mixture; Required;
The table of values can be presented as follows;
Component [tex]{}[/tex] Unit Value [tex]{}[/tex] Amounts (ml) [tex]{}[/tex] Value
30% saline [tex]{}[/tex] 0.3 [tex]{}[/tex] 80 [tex]{}[/tex] 0.3×80
Solution
70% saline [tex]{}[/tex] 0.7 [tex]{}[/tex] 20 [tex]{}[/tex] 0.7×20 [tex]{}[/tex]
solution
Mixture [tex]{}[/tex]x [tex]{}[/tex] 100 [tex]{}[/tex] 100 × x
0.3 × 80 + 0.9 × 20 = (80 + 20) × x
42 = 100·x
The concentration of the saline mixture is x = 42/100 = 0.42
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Assume the hypothesis is false. What is the
truth value of the conditional? Assume
the hypothesis is true. What would be
a counterexample?
Answers
The conditional statement has a true truth value if neither the hypothesis nor the conclusion is true.
A conditional statement is phrased as follows if we have the two propositions P and Q:
Q if P is true.
where P denotes the premise and Q denotes the result
The following are conditional statements' truth values:
The conditional statement is true if P and Q are true.
The conditional statement is false if P is false and Q is true.
The Conditional statement is false if P is true and Q is false.
The conditional statement is true if P and Q are both false.
Therefore, the conditional statement's truth value is true if both the hypothesis and the conclusion are false.
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The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenus: 82 or 85 or 89 or 98
Answers
Answer:
82
Step-by-step explanation:
1.) Recognize that this is the Pythagorean Triple 9, 40, 41, just multiplied by two (9*2 = 18, 40*2 = 80).
2.) Now, to find the third number, we just multiply 41 by 2 to get 82.
Answer:
The hypotenuse is equal to 82 centimeters.
Step-by-step explanation:
Using the Pythagorean theorem (a^2 + b^2 = c^2), which states that the legs of a right triangle (a and b) squared, equal the hypotenuse squared, we can plug in the values of the legs of the right triangle into spots a and b. This gets us the equation 80^2 + 18^2 = c^2. We can then square the values to get 6400 + 324 = c^2. We then get 6724 = c^2, and then take the square root of both sides to get the value of c, the hypotenuse. This gets us c = 82, so the hypotenuse is equal to 82 centimeters.
6 boxes each containing 40 oranges were repacked into 8 smaller boxes. How many oranges were in each of the 8 boxes?
Answers
Answer:
53 oranges.
Step-by-step explanation:
To find this, we must set up a proportionality formula.
6 8
- = -
40 x
Our goal is to find x.
First we cross multiply and get:
6x=320
Now we can divide each side by 6 to get x by itself.
x=53.33,
however, because you cannot have less than a whole orange in a box, each box contained 53.
7) Keith had 100 dollars to spend on 7 books. After
buying them he had 16 dollars. How much did each book cost?
8) Sally spent half of her allowance going to the movies. She washed the family
car and earned nine dollars. What is her weekly allowance if she ended with
sixteen dollars ?
9) Oceanside Bike Rental Shop charges 15 dollars plus 6 dollars an
hour for renting a bike. Joan paid 57 dollars to rent a bike. How many
hours did she pay to have the bike checked out ?
10) On Monday, one hundred sixty-nine students went on a trip to the zoo. All four
buses were filled and nine students had to travel in cars. How many students were
in each bus?
Answers
Answer:
7)
so
100-16=84
then
84÷7=12
each book costs 12 dollars
Are there any values of x for which the areas of the figures are the same? Explain.
Answers
The area of the triangle is x + 1 cm², while the area of the rectangle is x cm². Therefore, there is no value of x that makes the areas of both figure equal, because there is no solution to the equation.
How to Find the Areas of Rectangle and Triangle?A triangle's area = 1/2(base)(height)
A rectangle's area = length × width.
Area of the green triangle = 1/2(x + 1)(2)
Area of the green triangle = x + 1 cm²
Area of the rectangle = x × 1
Area of the rectangle = x cm²
Setting both areas equal, we have:
x + 1 = x
x - x = -1
0 = -1 [not true]
There's no solution or the values of x.
Therefore, we can conclude that there are no values of x for which the areas of both shapes are equal, because there is no solution to the equation.
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help. 20 points. this is a proportion question.
what does x = ?
Answers
Answer:
x = 7
Step-by-step explanation:
[tex]\frac{3}{x}=\frac{x-4}{7}[/tex]
==> cross multiply
[tex]3*7=x*(x-4)[/tex]
==> simplify
21 = x² - 4x
==> subtract 21 from both sides
0 = x² - 4x - 21
==> factorize by finding two numbers that multiply to -21 and add up to equal -4
0 = (x - 7)(x + 4)
==> set each factor to 0 and solve for x
0 = (x - 7) 0 = (x + 4)
7 = x -4 = x
We can now plug in the values of x into the proportion to see which are true.
[tex]\frac{3}{x}=\frac{x-4}{7}[/tex] [tex]\frac{3}{x}=\frac{x-4}{7}[/tex]
x = 7 x = - 4
[tex]\frac{3}{7}=\frac{7-4}{7}[/tex] [tex]\frac{3}{-4}=\frac{-4-4}{7}[/tex]
==> subtract 4 from 7 ==> subtract -4 from -4
[tex]\frac{3}{7}=\frac{3}{7}[/tex] [tex]-\frac{3}{4}=-\frac{8}{7}[/tex]
The only true answer is x = 7
Calculate the radius of the circle if its area is 110 mm².
Answers
The radius of the circle is 5.91mm
What is the area of the circle?
The area of the circle is the product of mathematical constant pi and square of the radius. radius is the distance of a point on the circle from the center of the circle.
The area of the circle is 110 mm^2
We have to find the radius to do that we first substitute the value of area in the area of circle formula and then compute the value of the radius
We know that,
The area of the circle
= π·r^2
110=22/7*r^2
35 = r^2
r= 5.91mm
Hence The radius of the circle is 5.91 mm
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The length of a rectangle is four more than twice its width. If the perimeter of the rectangle is 56 cm, what is the width of the rectangle?
Answers
The rectangle has its width to be 8 cm
How to determine the width the rectangle?From the question, we have the following parameters that can be used in our computation:
The length of a rectangle is four more than twice its width
The perimeter of the rectangle is 56 cm.
The above parameters imply that
L = 2W + 4
P = 2(L + W)
Where L represents the Length and W represents the width
The perimeter is given as 56
So, we have
2(L + W) = 56
So, we have
L + W = 28
Substitute L = 2W + 4 in L + W = 28
2W + 4 + W = 28
Evaluate
3W = 24
Divide by 3
W = 8
This means that the width of the rectangle is 8 cm a
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Emilio Ramirez has a 35%-off coupon and is purchasing a
3-light chandelier that has a regular price of $115.00.
a. What is the markdown?
b. What is the sale price?
c. What is the sale price using the percent paid method?
Answers
a) The markdown is $40.25 with the 35%-off coupon.
b) The sales price after the markdown is $74.75.
c) The Sales price using the percent paid method is $74.75.
What is the markdown?The markdown is the difference between the regular retail price and the amount paid for the item.
The markdown is a reduction in the cost or price of an item.
The markdown is the opposite of the markup, which increases the cost.
Coupon off = 35%
Regular price = $115.00
a) Markdown = $40.25 ($115 x 35%)
b) Sale price = $74.75 ($115.00 - $40.25)
c) The Sales price using the percent paid method = $74.75 ($115 x 1 - 35%)
Thus, Emilio Ramirez with a 35%-off coupon (markdown) paid $74.75 for a 3-light chandelier regularly priced at $115.00.
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PLEASE HELP ME I’ll GIVE 20 PTS!!! The pizza shop offers a 15 percent discount for veterans and senior citizens. If the price of a pizza is $12, how would you find the discounted price?
Answers
Answer:
10.2
Step-by-step explain:
Subtract 15 from 100, you should get 85. Then move the decimal 2 times to the left from 85, then 12 and .85 and that is you answer.
Answer:
10.20
Step-by-step explanation:
12-15%= $10.20
And that's it just subtract with the % sign and you'll get the same
A rancher has 444 feet of fencing to enclose two adjacent rectangular corrals. The wall separating the two
corrals consists of a single fence. What dimensions for one of the individual corrals will produce the largest
total area?
Answers
Answer:
2 lengths and 3 widths
444 = 2*L + 3*w --> L = (444 - 3w)/2 = 222 - (3/2)w
Area = length x width
Area (w) == (222 - (3/2)w ) w
The max occurs at the average of the zeros.
The zeros are 222 - (3/2)w = 0 or w=0
222 = (3/2)w or w=0
w = 444/3=148 or w=0
The average is (444/3 +0)/2 = 222/3=74
width is 74 and length is 222 - (3/2)(74) = 222 - 111 = 111
The max area is 74 * 111 = 8214
Measure of ∡5
(Hint: What theorem lets you compare ∡3 and ∡5?)
Answers
Answer:
mAngle5 = 52° by
Alternate Interior angles
Step-by-step explanation:
When you have a pair of parallel lines and a transversal (the line that crosses them both)
this set up makes 8 angles....ALL the angles are either the same measure or they add up to 180°. Literally, if you know the measure of ONE angle, you can find the measure of all 8 angles. Its only two different numbers for all 8.
So, for your problem the two angles are in between the parallel lines (interior) and on different sides of the tranversal (alternate). By the Alternate Interior Angle Theorem they are congruent. One of them is 52° so the other one is also 52°
if 1,2 and 3 are the eigen values of A=[2 0 1; 0 2 0; a 0 2], find the value of a?
Answers
The value of ''a'' will be 1
What is Matrix?
A set of numbers arranged in rows and columns so as to form a rectangular array, is called Matrix.
Given that;
1,2 and 3 are the eigen values of matrix A.
Now,
We know that;
The product of eigen values of a matrix is equal to the determinant of that matrix.
So, We find the determinant of matrix as;
[tex]A = \left[\begin{array}{ccc}2&0&1\\0&2&0\\a&0&2\end{array}\right][/tex]
Hence, We get;
| A | = 2 (4 - 0) - 0 (0 - 0) + 1 (0 - 2a)
| A | = 8 - 2a
And, The product of eigen values = 1 x 2 x 3 = 6
Hence, We get;
| A | = 8 - 2a
6 = 8 - 2a
2a = 8 - 6
2a = 2
a = 1
Thus, The value of ''a'' will be 1
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Using the graph below, determine the employee's hourly wage.
Answers
By using the graph, the employee's hourly wages is calculated as $10.6
Graph:
Basically, a graph is a collection of points, called vertices, and lines between those points, called edges.
Given,
Here we have the graph with straight line.
And we need to determine the employee's hourly wage.
While we looking into the graph we have identified that the x axis refers the number of hours the employ is working and the y axis refers the money earned by them.
In order to find the wages for one hour, we need to select one point from the graph.
Here we have take the point (5,53)
The first point refers the number of hours that is 5.
And the second one refers the wages for 5 hours that is 53.
So, the one hour wages is calculated as,
=> 53/5
=> 10.6
Therefore, the employee's hourly wage is $10.6.
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Several years ago, Annie bought a computer for her small business. For tax purposes, Annie declares a constant rate of depreciation, or loss of value, for the computer. The graph shows the linear relationship between the value of the computer and the number of years Annie has owned it.
Answers
The line is:
y = 400*x + 2000
And the statements are:
The original purchase price of the computer is given by the y-intercept, which is $2,000
The change in the price of the computer is the slope, which is 400.
How to write the linear equation?
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through two points (x1, y1) and (x2, y2), then the slope is:
slope = (y2 - y1)/(x2 - x1)
Using the graph we can identify two points like:
(1, 1600) and (5, 0)
Then the slope is:
a = (0 - 1,600)/(5 - 1) = 400
And the y-intercept is 2,000, as we can see on the graph.
Then the line is:
y = 400*x + 2,000
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Evaluate and match each expression on the left to its value on the right, when x = 9 and y = 6.
12 - x
x + 3y
4y - 10
xy
3
27
18
14
Answers
The correct matches for the given values of x and y can be found by substituting the values in the equations which are 12-x = 3, x+3y= 27, 4y-10=14, xy=54
What is an equation?
Equation is an expression which have equality symbol in between
It means an expression in variable is equal to the constant.
We are given that x= 9 and y=6
We are asked to match the possible value
i) 12 -x
To solve this we substitute x= 9 in the equation
12-9
=3
ii) x+3y
To solve this we substitute x = 9 and y=6
9+3(6)
=9+18
=27
iii) 4y-10
To solve this we substitute y=6
=4(6)-10
=24-10
=14
iv) xy
To solve this we substitute x = 9 and y=6
= 9(6
=54
Hence the correct matches are 12-x = 3, x+3y= 27, 4y-10=14, xy=54
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Which graph could be used to find the distance between the points (-3, -13) and (11, 9)?
Answers
We can use the graph of the line y = 11/7(x) - 58/7 to find the distance between the points
How to determine the graph for finding the distance between the points?
The slope-point equation of a line is given as:
y-y1 = m(x−x1)
where m is the slope of the line, and slope (m) = y2−y1 / x2−x1
Given: the points (-3, -13) and (11, 9)
x1 = -3, y1 = -13 and x2 = 11, y2 = 9
slope(m) = 9-(-13) / 11-(-3) = 22/14 = 11/7
Using y-y1 = m(x−x1), put m = 11/7 and make y the subject:
y-y1 = m(x−x1)
y-(-13) = 11/7(x-(-3))
y + 13 = 11/7(x+3)
y + 13 = 11/7(x) + 33/7
y = 11/7(x) + 33/7 - 13
y = 11/7(x) - 58/7
Therefore, the graph of the line y = 11/7(x) - 58/7 could be used to find the distance between the points
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Answer: The answer is A
Step-by-step explanation:
Jack is now seven times as old as James. In 5 years, Jack will be five times as old as James. How old is
James now?
70
10
55
Answers
Answer:10
Step-by-step explanation:Step-by-step explanation:
James's age = x
Jack's age = y
y = 7x
y + 5 = 5(x + 5)
y = 7x
y + 5 = 5x + 25
7x - y = 0
5x - y = -20
7x - y = 0
-5x + y = 20
2x = 20
x = 10
James's age: x = 10
What is the equation of the line in slope-intercept form?
Enter your answer in the boxes.
Y=___x + ___
Answers
Answer:
y=0.6x+3
Step-by-step explanation:
Slope intercept form: y=mx+b
m- slope
b- y intercept
to find slope with y2-y1/x2-x1
3-0/0-(-5)
3/5
0.6is the slope
y intercept is 3 since it intersects at 3 on the y axis
Hopes this helps please mark brainliest
Consider the frequency distribution to the right. Complete parts (a)
through (c) below.
Value
624
541
606
577
586
610
Frequency
12
8
10
15
5
6
Find the mean of the frequency distribution
Answers
The mean of the frequency distribution is 591.446.
Let the values be 'x' and frequency be 'f'
To find the mean of the frequency distribution use formula,
[tex]Mean=\frac{Sum of values}{Total number of values}[/tex]
where, sum of the values = ∑fx
Total number of values=∑f
From table,
First find fx,
[tex]f1x1=624*12=7488\\\\f2x2=541*8=4328\\\\f3x3=606*10=6060\\\\f4x4=577*15=8655\\\\f5x5=586*5=2930\\\\f6x6=610*6=3660[/tex]
Now,
∑fx=[tex]7488+4328+6060+8655+2930+3660=33121[/tex]
Now , the total number of values,
∑f=[tex]12+8+10+15+5+6=56[/tex]
Now,
[tex]Mean=\frac{33121}{56} =591.446[/tex]
Thus, the mean of the frequency distribution is 591.446.
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Ayuda, por favor. Amir condujo desde Jerusalén hasta el lugar más bajo de la Tierra, el Mar Muerto, descendiendo a una velocidad de 12 metros por minuto. Estaba al nivel del mar después de 30 minutos de conducción. Representa gráficamente la relación entre la altitud de Amir relativa al nivel del mar (en metros) y el tiempo (en minutos).
Answers
The linear function y = -12x + 360, representing Amir's height at a time of x minutes, is graphed at the end of the answer.
What is a linear function?The slope-intercept representation of a linear function is given by the rule shown as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the numeric value of the function when the input x is of zero.From the test, his rate is of -12 m/s, hence the slope of the function is given as follows:
m = -12.
When x = 30, y = 0, hence the intercept b of the linear function can be obtained as follows:
0 = -12(30) + b
b = 30 x 12
b = 360.
Thus the equation is:
y = -12x + 360.
The domain in which the function is graphed is:
x ≥ 0.
As time cannot assume negative values.
TranslationThe problem asks for the graph of the linear function, considering that:
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The function f(x)
o 95 miles; f(3) represents the total distance remaining after 3 hours.
represents the total distance traveled after 3 hours.
O 95 miles; f(3)
O 165 miles; f(3)
represents the total distance remaining after 3 hours.
O 165 miles; f(3)
represents the total distance traveled after 3 hours.
= 260 - 551
represents the distance, in miles, remaining on a trip z hours into the trip. What is the value of f(3), and what does it represent?
Answers
f(x) represents the distance, in miles, remaining on a trip z hours into the trip. The value of f(3) is 95 miles and it represents the total distance remaining after 3 hours.
Define function.A function is a relationship between a number of inputs where each input has exactly one output, according to one definition. f is typically used to represent a function (x). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given,
Function:
f(x) = 260 -55x
When f(3)
f(3) = 250 - 55(3)
f(3) = 250 - 165
f(x) = 95
95 miles; f(3) represents the total distance remaining after 3 hours.
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4) Employees
at The Shoe Shack get a
25% discount when they buy a pair
of shoes at the store.
Theo wants to buy a pair of shoes with a regular price of $48.
What is the discount on a pair of shoes with a regular price of $48?
Answers
Answer: 12
Step-by-step explanation: 25% is always 25/100 or 1/4. To get this you have to multiply 48 by 1/4 with is 48/4 = 12$.
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Z varies jointly as the square root of the product of X and Y. IF z=3 when X=3 and Y=12 find X when Z=6 and Y=64
Answers
When Z=6 and Y=64 the given proportionality value of x = 1/2.
What is proportionality?
The concept of proportionality in mathematics denotes the linear relationship between two quantities or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount. Two integers that each represent a component of a whole are compared to determine their proportion. In essence, a percentage declares that two fractions are the same even if the amounts are different. For instance, half of 10 marbles is equal to half of 50 marbles in terms of proportion.
Here Z varies jointly as the square root of the product of X and Y.
Then,
=> Z∝[tex]\sqrt{XY}[/tex]
=>Z=k[tex]\sqrt{XY}[/tex]
Where k is constant . Now put X=3 , Y = 12, Z=3.
=> 3=k*[tex]\sqrt{12*3}[/tex]
=> k = 6/3 = 2 .
Then the equation is ,
=> Z==3[tex]\sqrt{XY}[/tex]
Now put Z=6 and Y=64
=> 6 = 3[tex]\sqrt{x*64}[/tex]
=> 2/8 =[tex]\sqrt{x}[/tex]
=>[tex]\sqrt{x}[/tex] = 1/4
=> x = 1/2.
Hence the value of x is 1/2.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!!!
Match the picture with the correct vocabulary for the 2 angles shown.
Answers
Answer:
3: alternate exterior angles 4: supplementary angles
Step-by-step explanation:
3: they are outside, on dif sides.
4: same side, and make 180 degrees
The probability of selecting a patient who has an PPO plan is 0.46. The probability of selecting a patient who is between the ages of 30 and 55 is 0.43. The probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 is 0.27. What is the probability of selecting a patient who has an HMO plan or is
between the ages of 30 and 55?
Answers
The probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62
Given,
probability of selecting a patient who has an PPO plan=P(A)=0.46
probability of selecting a patient who is between the ages of 30 and 55=P(B)=0.43
probability of selecting a patient who has an PPO plan and is between the ages of 30 and 55 =P(A∩B)=0.27
then, to find the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 i.e. P(A∪B) use formula,
P(AUB)=P(A)+P(B)-(A∩B)
P(AUB)=0.46+0.43-0.27
P(AUB)=0.62
Thus,the probability of selecting a patient who has and PPO plan or is between the ages of 30 and 55 is 0.62
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The trail is 2448 miles long. It begins in city a and ends in city be man Fred has hiked three eights of the trail before how many miles has he hiked
Answers
The number of miles which Fred has hiked according to the task content is; 918 miles.
How many miles has Fred hiked?It follows from the task content that the given trail in discuss is 2448 miles long and the actual number of miles hiked by Fred is to be determined.
Given; Trail distance = 2448 miles.
However, Fred has hiked three eights of the trail before;
It therefore follows from proportion that;
If; 1 trail = 2448 miles;
Then; 3 / 8 trail = 3 / 8 × 2448 miles.
= 918 miles.
On this note, the number of miles hiked by Fred is; 918 miles.
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Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home run hitter, had a batting average of 0.305.
Answers
3.7% greater was Babe Ruth's batting average than Hank Aaron's.
Given that, Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342.
What is the average?In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
According to the question, 0.342-0.305
= 0.037
Now, 0.037 × 100
= 3.7%
Hence, 3.7% greater was Babe Ruth's batting average than Hank Aaron's.
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"Your question is incomplete, probably the complete question/missing part is:"
Babe Ruth, a professional baseball player known for hitting home runs, had a batting average of 0.342. Hank Aaron, another record home run hitter, had a batting average of 0.305. How much greater was Babe Ruth's batting average than Hank Aaron's?
Jaxson has a collection of 200 coins. How many coins represent 5% of his collection?
Answers
Answer: 13 coins
Step-by-step explanation:
100% --> 260
1% --> 2.6
5% --> 13
Answer:
10 coins
Step-by-step explanation:
Jaxson has a collection of 200 coins. How many coins represent 5% of his collection?
5% = 0.05
200 * 0.05 = 10 coins
