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Fofino [41]
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.​
Mathematics
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.

4 0
3 years ago
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.

\frac{y}{x}=\frac{1}{2}=\frac{2}{4}=\frac{2.5}{5}=\frac{3.5}{7}=\frac{1}{2}=0.5

Equation is y=0.5x

18.

\frac{y}{x}=\frac{6}{2}=\frac{9}{3}=\frac{15}{5}=\frac{18}{6}=3

Equation is y=3x

19.

\frac{y}{x}=\frac{4}{2}=\frac{8}{4}=\frac{14}{7}=\frac{18}{9}=2

Equation is y=2x

4 0
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
Andrei [34K]

Answer:

Second option: On a coordinate plane, rectangle A'B'C'D' prime has points (-4,4),(12,4),(12,-4),(-4,-4)

(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.

7 0
4 years ago
Read 2 more answers
5.3.21
Flauer [41]

Answer:

y = -4x + 9

Step-by-step explanation:

7 0
2 years ago
How is 2.5/3=75% equivalent
horsena [70]

Answer:

its equivalent because 75% equals to 75 over one hundred = 75/100 so when you divide 75 by 3 you get 25 but then you have to divide 25 by 10 you get 2.5

Step-by-step explanation:

4 0
3 years ago
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