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2 years ago

Solve for v 17 - 2v = -53solve for v 17-2v=-53

Mathematics

1 answer:

lapo4ka [179]2 years ago

7 0

Hey!

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Steps To Solve:

17 - 2v = -53

~Subtract 17 to both sides

17 - 2v - 17 = -53 - 17

~Simplify

-2v = -70

~Divide 2 to both sides

-2v/-2 = -70/-2

~Simplify

v = 35

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Hence, the answer is $\Large\boxed{\mathsf{v~=~35}}$

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Hope This Helped! Good Luck!

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Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was 65 gallons of water in the pool before Ann starting adding water.

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PLEASE HELP ILL GIVE BRAINLIEST!!

victus00 [196]

Answer:

73.12 cm

Step-by-step explanation:

The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)

P square = 3 s

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The perimeter of the semicircle is 1/2 of the circumference of a circle

P semicircle = 1/2 (pi *d)

=1/2 (pi* 16)

= 8 pi

= 8 (3.14)

=25.12 cm

The total perimeter is the sum of the square and the circle

P total = P square + P semicircle

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