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Stels [109]
3 years ago
5

Consider the following formula: ax-bc+y=z What represents the formula for x?

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Answer:

x = (z-y)/(a-b)

Step-by-step explanation:

Given ax-bx+y=z, we are asked to isolate x. To do so, first take common factor between the first and the second terms

ax-bx+y=z  

(a-b)*x+y = z

Then, isolate the x term by subtracting y at both sides

(a-b)*x+y-y = z-y

(a-b)*x = z-y

Finally, divide by (a-b) at both sides

(a-b)*x/(a-b) = (z-y)/(a-b)

x = (z-y)/(a-b)

Leona [35]3 years ago
3 0

Answer: z-y+bc/a

Step-by-step explanation:

ax-bc+y=z

ax-bc=z-y

ax=z-y+bc

x=z-y+bc/a

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If b= 7, what is 1/3(2b+10)? Please help
goblinko [34]

Answer:8

Step-by-step explanation:

First, substitute 7 into the equation for b:

1/3(2x7+10)

Now, simplify using the order of operations:

1/3(14+10)

Then:

1/3 (24)

And you arrive at your answer:

8

3 0
3 years ago
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A theater sells children's tickets for half the adult ticket price. if 5 adult tickets and 8 children's tickets cost a total of
Ghella [55]
27 = 5x/2 + 8y is an equation to use to solve 
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3 years ago
Find the surface area of the right prism:
REY [17]

Answer:

A) 200 in²

Step-by-step explanation:

Height of the front rectangle

sqrt(6² + 6²)

6sqrt(2)

3 rectangles + 2 triangles

(6×8) + (6×8) + (8×6sqrt(2)) + (2×½×6×6)

132 + 48sqrt(2)

199.8822509939

8 0
3 years ago
Use inverse trigonometric functions to solve each problem.
viva [34]

Answer:

BBBBBBBBBB

Step-by-step explanation:

7 0
3 years ago
Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
3 years ago
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