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Elza [17]
3 years ago
10

Phil's average is 0.250. This is about 5/6 as much as Joe's average. What is Joe's average? (Write answer is decimal form - do n

ot round).
Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Let Joes average = x

Phil’s average is 0.250 and is 5/6X ( 5/6 of Joe’s)

5/6x = 0.250

Solve for x by dividing both sides by 5/6. When dividing by a fraction, flip the fraction over and multiply;

X = 0.250 x 6/5 = (0.250 x 6)/5 = 1.5/5 = 0.30

Joes average is 0.3

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On a blueprint, 1 inch = 5 feet. On the blueprint, the living room is 6.5 inches long. How long is the livining room
disa [49]

Answer:

32.5 feet

Step-by-step explanation:

Since 1 inch = 5 feet, we can muliply the measure of the living room by 5 to get our answer.

6.5 x 5 = 32.5

8 0
3 years ago
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The length of a rectangle is 4 yd less than three times the width, and the area of the rectangle is 55 ya? Find the dimensions o
inysia [295]

Answer:

length = 11 yard

width =  5 yard

Step-by-step explanation:

Area of a rectangle = L W

where A = 55 yard

           L = 3W - 4

find: Length

        width

solution:

A = L W

55 = (3W - 4) W

55 = 3W² - 4W

3W² - 4W - 55 = 0

use quadratic equation to solve for W:

W = <u> - (-4) ± √(-4)² - 4(3)-55 </u>

                    2(3)

W = 5,  W = -11/3

substitute W=5 to equation L = 3W - 4 to solve for L

L = 3W - 4

L = 3(5) - 4

L = 15 - 4

L = 11

therefore, the dimensions of a rectangle:

length = 11 yard

width =  5 yard

6 0
3 years ago
What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?
Kryger [21]
Given the coordinates of the three vertices of a triangle ABC, 
the centroid coordinates are (x1+x2+x3)/3, (y1+y2+y3)/3
<span>so (-4+2+0)/3=-2/3, ]2+4+(-2)]/3=4/3
so the coordinates are (-2/3, 4/3)</span>
3 0
4 years ago
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What is the solution for the system of equations {9x+8y=3 6x−12y=−11?
lions [1.4K]

Answer:

( - \frac{1}{3}, \frac{3}{4} )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = \frac{-6.5}{19.5} = - \frac{1}{3}

Substitute this value into either of the 2 equations and solve for y

Using (1), then

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6 0
3 years ago
Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies $52,000. Each day, she spends $650
amid [387]

<u>Answer-</u>

The equation is 960d-650d = 52000 and Julianne will begin making a profit after 168 days.

<u>Solution-</u>

Julianne's start-up cost = $52,000,

Each day, she spends = $650,

and she earns = $960 per day,

If 'd' is the number of days to overcome the start-up and daily operation cost, then  

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total student lesson fees earned in d days = $960d

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960d-650d = 52000

∴ Julianne will begin making a profit,

\Rightarrow 960d-650d \geq 52000

\Rightarrow 310d \geq 52000

\Rightarrow d \geq \frac{52000}{310} =167.74 \approx168(ans)





8 0
3 years ago
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