Answers
The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
(1/4)(12x - 5.6) = 0.5(3x + 0.7)
Opening the bracket gives:
3x - 1.4 = 1.5x + 0.35
x = 7/6
The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6
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Related Questions
A pole that is 3.5m tall casts a shadow that is 1.26 m long. At the same time, a nearby building casts a shadow that is 35.75m long. How tall is the building? Round your answer to the nearest meter.
Answers
The height of the building is 99 meters.
How to find the height of the building?The pole is 3.5m tall and cast a shadow of 1.26 metres long.
At the same time a nearby building casts a shadow that is 35.75m long.
Therefore, this will form a ratio.
The height of the building can be found as follows:
Establishing the ratio,
where
x = height of the building
3.5 / x = 1.26 / 35.75
cross multiply
35.75 × 3.5 = 1.26 × x
125.125 = 1.26x
divide both sides by 1.26
125.125 / 1.26 = 1.26x / 1.26
x = 125.125 / 1.26
x = 99.3055555556
x = 99 meters
Therefore, the height of the building is 99 meters.
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in the system of equations below, a and b are constants and x and y are variables. If the system
of equations below has no solution, what is the value of a b?
ax - y = 0
x - by = 1
Answers
The value of ab = 1 in the two given equations with no solutions.
What do we mean by equations with no solutions?When the two lines are parallel, a system of two linear equations in two variables has no solution. In terms of algebra, this means that when we solve the system, we get a false equation. On a graph, the lines never intersect because they have the same slope but different y-intercepts. There will be no solution if (a₁/a₂) = (b₁/b₂) (c₁/c₂). This is referred to as an inconsistent pair of linear equations.So, it is said that the two equations (ax - y = 0) and (x - by = 1) have no solutions.
Then,
a/1 = 1/b = 0Cross multiply:
ab = 1Therefore, the value of ab = 1 in the two given equations with no solutions.
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Using the ratio 49N:5kg calculate the force needed to lift an object that is 365 kg
Answers
The force needed to lift an object that is 365 kg is calculated as; 3577 N
How to solve ratio problems?
We are given the ratio as;
49N : 5 kg
This ratio means that 49 newtons of force represents 5 kg of mass. Now, we want to find the force required to lift an object with a mass of 365 kg.
Using the given ratio, we can say that the force that can lift a mass of 365 kg is calculated as;
(365 * 49)/5 = 3577 N
Thus, we conclude that the force needed to lift an object that is 365 kg is calculated as 3577 N.
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which of the following 5-digit numbers can be rounded to 20,000?
Answers
Following is partial information for Delamunte Industries for the month of August:
Work In Process
Balance, August 1 $ 41,000
Direct materials used 75,000
Direct labor 120,000
Manufacturing overhead applied (based on direct labor cost) 90,000
Jobs finished during August are summarized here:
Job # Cost of Jobs Completed
234 $ 58,000
237 65,000
231 74,500
246 67,500
Required:
At the end of August, only one job, Job 248, was still in process. The direct labor cost incurred on Job 248 as of August 31 was $24,000.
Calculate the predetermined overhead rate that was used to apply manufacturing overhead to jobs during August.
Determine the balance in Work in Process at the end of August.
Determine how much of the direct materials cost and applied overhead would be recorded for Job 248 as of August 31.
Answers
The predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000
How to solve for the solutionsA. The predetermined overhead calculation
The formula = manufacturing overhead / direct labor
= 90000 / 120000
= 0.75
b. The balance in work sheet
Direct materials used 75,000 + Direct labor 120,000 + Balance, August 1 $ 41,000 + Manufacturing overhead applied (based on direct labor cost) 90,000
= $326,000
58,000 + 65,000 + 74,500 + 67,500 = 265000
The balance at the end of August = 326000 - 265000
= 61000 dollars
c. Applied overload = 0.75 x 24000
= 180000
direct material cost = 61000 - 24000 - 18000
= $19000
The summary of the solution is that the predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000
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What is the difference when 54.89 is subtracted from 235.987?
29.0877
1,810.97
290.877
181.097
ill brainlist the right answer
Answers
[tex]{ \blue{ \tt{option(d)}}} \: { \boxed{ \red{ \sf{181.097}}}}[/tex]
Step-by-step explanation:
[tex] \: \: \: \: 235.987[/tex]
[tex] - \: \: \: 54.89[/tex]
_______________
[tex]{ \boxed{ \red{ \sf{= 181.097}}}}[/tex]
If a 12-gram serving of pasta contains 3 g of protein, how many grams of protein are in a 1,362-gram box of the pasta?
Answers
There are 340.5g of protein in 1,362 gram box of pasta
How to calculate the number of grams of protein ?12 gram serving of pasta contains 3g of protein
The number of protein in 1362 gram box of pasta can be calculated as follows
3/12 = x/1362
cross multiply
12x= 3×1362
12x= 4086
x= 4086/12
= 340.5
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Which system of equations is represented by the matrix below?
[2 3| 2]
[12 0| -24]
Answers
System of equations is represented by the matrix below is 2x + 3y = 2 and 12x = -24
[2 3 2]
[12 0 -24]
This means 2x + 3y = 2 and 12x = -24
How matrix is used to solve system of equation?
The matrix can be used to solve system of equation. it can be 3 by 3 matrix or 2 by 2 matrices.
The first rows of the matrix above represent the coefficient of the first equation and second row represents the second equation of the system of equations.
Matrices is the plural form of matrix, which is a rectangular array or table with rows and columns of numbers or elements. They can have as many columns and rows as they want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.
Matrices, the plural form of matrix, are the arrangements of numbers, variables, symbols, or expressions in a rectangular table with varying rows and columns. They are rectangular arrays with defined operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, while the vertical entries are referred to as columns.
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Graph the line y-5x=-3
Answers
Answer:(0,-3)
Step-by-step explanation:
It's quite simple once you understand. First plug in values
if x=0 then y= -3, if x =1 then y=2. Plug in values based on the equation.
Since my first substitution is 0,-3, that is the one I will plot on a graph.
Hope it helps!!
Answer:
y = 5x - 3
Points: (0, -3) and (1, 2)
Step-by-step explanation:
y - 5x = -3
+5x +5x
y = 5x - 3
The starting point is at (0, -3)
Count up five then right 1
rise
-------
run
I hope this helps!
The sum of the measures of two complementary angles is 90°. If one angle measures
15° more than twice the measure of the other, find the measure of the smaller angle.
The smaller angle measures: ?
Answers
Answer: 75°
Step-by-step explanation:
Solution;
Here:. let, one angle be x
From the question ,
x+15=90(Being sum of complementary angle)
x=90-15
x=75
Given f(x) = x^2 - 3x + 5, what is f(-2)?
A. f(-2) = 3
B. f(-2) = -5
C. (-2) = 15
Answers
f(-2) = (-2)^2 - 3(-2) +5
= 4 + 6 + 5
= 15
Find the value of x.
130°
(2x)
Answers
Answer:
Step-by-step explanation:
Vertical opposite angles are equal to each other so
2x = 130
x = 65 (divide both sides by 2)
The sum of x and its square is equal to y times z.
Answers
Answer:
x + [tex]x^{2}[/tex] = yz
Step-by-step explanation:
Consider a circle whose size can vary. The circumference of the circle is always
2
π
times as large as its radius. Let
r
represent the radius of the circle (in feet) and let
C
represent the circumference of the circle (in feet).
Answers
Answer:
The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).
Step-by-step explanation:
hopes this helps
answer 2
π
times as large as its radius.
Milan has 4 shelves full of books. Each shelf has 9 books.
If 2 of her friends borrow 3 books each, what fractions of
books does she still have left on her shelves?
Answers
Step-by-step explanation:
She has 4 bookshelves and each one has 9 which makes
4x9 = 36
If she has two friends and they both take 3
2x3=6
how many books left?
36-6=30
which is
30/36 simplified is 5/6. Hope this helped you! :)
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 14 HCF of water is $32.62 , and the cost for using 48 HCF is $78.52 . What is the cost for using 40 HCF of water?
Answers
The cost for using 40 HCF of water is $67.72
What is the cost for using 40 HCF of water?To solve this question, we use the following representations
x represents HCFy represents the amountUsing the above representations, we have the following points
(x, y) = (14, 32.62), (48, 78.52)
For 40 HCF of water, we have
(x, y) = (40, y)
The slope of a linear equation is calculated using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (78.52 - 32.62)/(48 - 14) = 1.35
m = (78.52 - y)/(48 - 40)
Substitute m = 1.35 in m = (78.52 - y)/(48 - 40)
So, we have:
1.35 = (78.52 - y)/(48 - 40)
Evaluate the difference
1.35 = (78.52 - y)/8
Multiply both sides by 8
10.8 = 78.52 - y
This gives
y = 78.52 - 10.8
Evaluate the difference
y = 67.72
Hence, the cost for using 40 HCF of water is $67.72
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The table below shows the assets and liabilities of the Tanner family.
Assets and Liabilities Amount
Checking account $17,532
Car (paid off) $12,225
Retirement Savings $43,675
Credit Card Debt $7,876
Home Loan Balance $65,225
What is the net worth of the Tanner family?
Answers
If checking account has $17,532,car (paid off) is $12,225,retirement savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.
Given that checking account has $17,532,car (paid off) is $12,225, retirement savings are $43,675,Credit Card Debt is $7,876,Home Loan Balance has $65,225.
We are required to find the net worth of the Tanner family.
Net worth is basically the value of the assets a person or corporation owns, minus the liabilities they owe.
Net worth=Checking account+Car +Retirement savings-credit card debt-Home loan balance
=17532+12225+43675-7876-65225
=$331
Hence if checking account has $17,532,Car (paid off) is $12,225 ,retirement Savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.
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Use algebra to write a quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2)
Please help tyy!
Answers
The quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c ,9/2= a + b + c and 11/2 = -a - b + c .
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given:
The given points are
(1/2, 9/16) (1,9/2) (-1, 11/2)
According to given question we have
We know the basic quadratic equation are
[tex]y = ax^{2} + bx + c[/tex]
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
The equation are at the points
1. (1/2, 9/16)
1/2 = 81 a/256 - 9b/16 + c
The equation are at the points
2. (1,9/2)
9/2= a + b + c
The equation are at the points
3. (-1, 11/2)
11/2 = -a - b + c
Therefore, the quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c ,9/2= a + b + c and 11/2 = -a - b + c .
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Write algebraic expressions for two numbers with a sum of -17. Let one of the number be represented by x.
Answers
The algebraic expression is x + y = -17
Given,
The sum of two numbers = -17
One number = x
We have to write an algebraic expression for the above condition:
Algebraic expression
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).
You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.
So, let’s find the algebraic expression:
Given that one number is x. We can take other number as y.
So, the expression will be like:
x + y = -17
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“Some friends ordered two cinnamon sugar pizzas cut into 12 pieces each for dessert. Each person had 2 slices and there were four slices leftover. How many friends were at the dinner?
Write out an equation that will go with the problem and then solve it.”
Answers
Answer: 4 People were at the dinner.
Equation: 2x + 4 = 12
Step-by-step explanation: We know that there are 4 pieces left. So we can just take away 4 from 12. When that's done, we're left with 8 eaten slices. Then divide the 8 slices by the number of pieces per person. Therefore, 8/2 gives us 4.
I took algebra last year and loved it! I hope this helps!
what is -11 + l-5l - l-15l
Answers
Answer: -21
Step-by-step explanation: abs(-5) and abs (-15) just makes it positive, so the equation becomes -11 + (5) - (15), which equals -21.
-11+5-15
-6-15
Your company will generate $71,000 in annual revenue each year for the next seven years from a new information database. If the appropriate interest rate is 8.75 percent, what is the present value?
Answers
The present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02
What is the present value?The present value represents the discounted value of future cash flows over a period.
The present value can be computed using the PV table, formula, or an online finance calculator, as follows:
Data and Calculations:N (# of periods) = 7 years
I/Y (Interest per year) = 8.75%
PMT (Periodic Payment) = $71,000
FV (Future Value) = $633,642.98 ($497,000 + $136,642.98)
Results:
Present Value (PV) = $360,357.02
Sum of all periodic payments = $497,000 ($71,000 x 7)
Total Interest $136,642.98
Thus, the present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02
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Let f(x) = -10x-18 and g(x) = -3x, find (f-g)(x).
Answers
Answer:
[tex]{ \tt{f(x) = - 10x - 18}} \\ { \tt{g(x) = - 3x}} \\ \\ { \tt{(f - g)(x) = ( - 10x - 18) -( - 3x) }} \\ \\ { \tt{(f - g)(x) = ( - 10x + 3) - 18}} \\ \\ { \tt{(f - g)(x) = - 7x + (3 - 18)}} \\ \\ { \tt{(f - g)(x) = - 7x - 15}}[/tex]
On Olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. How much will Olga have in the account when she turns 18? Round to the nearest cent.
Answer is NOT $2,071.19
I can't figure it out, the only answer I get when putting the numbers into the formula is $2,071. I feel like the trick is the "locked" part. Although that seems normal. 16-17 is 1 year, and 17-18, is another, so 2 years. I'm not sure why the answer is wrong.
Answers
Step one:
given data
principal p= $2000
Rate r= 1.75% = 0.0175
time t= 18-16= 2years
> 8
~ 2.5
Required
The final amount of the compounded
principal
The compound interest formula is
A=P(1+r)^t
A=2000(1+0.0175)^2
A=2000(1.0175)^2
A=2000*1.0353
A=2070.6
Question content area top Part 1 Zachary purchased a computer for $1,500 on a payment plan. Five months after he purchased the computer, his balance was $975. Ten months after he purchased the computer, his balance was $450. What is an equation that models the balance y after x months?
Answers
The equation that models the balance y after x months is given by y = 1500 -150x,
Apparently, we have to assume that the balance is a linear function of the number of months that the payment is boing made.
We are given 3 points:
(0, 1500), (6, 600) and (8, 300)
Any two of these can be used to write the equation of the line :
y = (y₂ - y₁) / (x₂ - x₁) (x - x₁) + y₁
y = (600 - 1500) / (6 - 0) (x - 0) + 1500
y = - 900 / 6 x + 1500
y = 1500 - 150 x
where x is the number of months.
Therefore, the equation that models the balance y after x months is given by y = 1500 -150x,
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When simplifying --7(3)(-10) + (-4), can you multiply 3 and -10 first and get the same result as multiplying - 7 and 3 first?
Explain.
Answers
Answer:
See explanation
Step-by-step explanation:
Yes
-7(3)(-10) + (-4) =
-7(-30) + (-4)= ==> multiply 3 and -10
210 - 4=206
-7(3)(-10) + (-4) =
-21(-10) + (-4)= ==> multiply -7 and 3
210 - 4=206
206=206 √
Seven subtracted from seven times a number is 147. What is the number?
Answers
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
The points I, J, K and L all lie on the same line segment, in that order, such that the ratio IJ:JK:KL is equal to 2:5:5 IfIL=60, find KL.
Answers
The length of KL with the given ratio is 25 units
How to determine the length of KL?The given parameters are:
IJ : JK : KL is equal to 2 : 5 : 5
IL = 60
Rewrite properly as:
IJ : JK : KL = 2 : 5 : 5
This means that the length of KL
KL = KL ratio/Sum of ratios * IL
So, we have
KL = 5/(2 + 5 + 5) * 60
Evaluate the sum
KL = 5/12* 60
Divide 60 by 12
So, we have
KL = 5 * 5
Evaluate the product
KL = 25
Hence, the length of KL with the given ratio is 25 units
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please help
please hury
Answers
the one you highlighted is right!
Answer:
The highlighted one is correct!
Directions: “Write out an equation that will go with the following problem and then solve it.”
“A restaurant is full. There are some four-person tables and 8 tables with couples. If there are 56 people here, how many four-person tables are there?”
Answers
Answer:
Incomplete question
Forgot to add how many tables
Step-by-step explanation:
Let's solve the equation step by step,
Step: Let's make an equation to find how many four person table are there
Let x represent for four person table and y for 8 person table,
4x + 8y = 56,
x+y=z
