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3 years ago

10

Andrew has $65.50. He is paid $11.50 for each earbud case he sells. He has a goal of earning $146. Write an equation to determin

e the number of earbud cases he must sell to meet his goal, then solve.

1 answer:

Nezavi [6.7K]3 years ago

5 0

Answer:

11.50x + 65.50 = 146

He must sell 7 earbud cases to meet his goal.

Step-by-step explanation:

11.50x + 65.50 = 146

11.50x = 146 - 65.50

x = 80.50/11.50

x = 7

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the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second

mojhsa [17]

Answer:

2/π ≈ 0.637 m/s

Step-by-step explanation:

The rate of change of area with respect to time is ...

A = πr²

dA/dt = 2πr·dr/dt

Filling in given values in the above equations, we can find r and dr/dt.

25π = πr² ⇒ r = 5

20 = 2π·5·dr/dt

dr/dt = 20/(10π) = 2/π . . . . meters per second

The radius is increasing at the rate of 2/π ≈ 0.637 meters per second.

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Hello! Could you please help with these? It was due quite a long time ago. I have a D in this class and need to get my grades up

Digiron [165]

Answer:

16. $y=7x$

17. $y=0.5x$

18. $y=3x$

19. $y=2x$

Step-by-step explanation:

Equation is $y=kx$ where k is a constant of proportionality.

16.

$\frac{y}{x}=\frac{10.5}{1.5}=\frac{14}{2}=\frac{24.5}{3.5}=\frac{35}{5}=7$

So, equation is $y=7x$

17.

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3 years ago

Which graph shows the result of dilating this figure by a factor of 4 about the origin? On a coordinate plane, rectangle A B C D

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Answer:

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(See the graph attached)

Step-by-step explanation:

For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.

In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:

$A(-1,1)\\\\B(3,1)\\\\C(3,-1)\\\\D(-1,-1)$

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

$A'=((-1)(4),(1)(4))=(-4,4)\\\\B'=((3)(4),(1)(4))=(12,4)\\\\C'=((3)(4),(-1)(4))=(12,-4)\\\\D'=((-1)(4),(-1)(4))=(-4,-4)$

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.

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Flauer [41]

Answer:

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Step-by-step explanation:

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2 years ago

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horsena [70]

Answer:

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Step-by-step explanation:

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