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Verdich [7]
2 years ago
15

In the following exercises, solve

Mathematics
1 answer:
xeze [42]2 years ago
8 0

Answer:

The cost of 30 gallons of gas is $74.7.

Step-by-step explanation:

  • Given that the price that Tyler pays for gas varies directly with the number of gallons he buys.
  • The cost 24 gallons is $59.76 to him.
  • Now we need to find the cost of 30 gallons.
  • To solve this problem use a direct variation formula.
  • Solve for constant variation.

Step 1 of 3

Here we need to find the cost of 30  gallons.

Given that the price that Tyler pays for gas varies directly with the number of gallons he buys.

The cost of 24  gallons is $59.76  to him.

Let, x  be the number of gallons and y  be the cost or price for gas.

Use the formula for direct variation which is given by y=kx.

Step 2 of 3

Now substitute the value y=$59.76 and x=24.

Put value in y=kx, we get

$$\begin{aligned}&59.76=k \times 24 \\&k=2.49\end{aligned}$$

Substitute value of k is y=kx, we get y=2.49x

Step 3 of 3

Now we need to find the value of y that is the cost for 30 gallons.

Again use direct variation formula y=kx and value of k and x, we get $y=2.49 \times 30$

$$y=74.7$$

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2 years ago
If MP is a perpendicular bisector to LN, find each value (picture attached)
solong [7]

Answer:

x=4, MN= 37, LM= 37, y=7.

Step-by-step explanation:

If MP is a perpendicular bisector to LN, then NP and LP are equivalent.

(Solve for y)

2y+2= 16

(Move the +2 to the right side of the equation)

2y= 14

(Divide both sides by 2 to isolate the variable)

y=7

To find x and the measure of MN and LM, solve for x in the following equation:

7x+9 = 11x-7

(Move 7x to the right side of the equation)

9 = 4x-7

(Move -7 to the right side of the equation.)

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(Divide both sides by 4 to isolate the variable.)

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Plug x back into both equations to get the measure of MN and ML

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I hope this helps!

3 0
3 years ago
Read 2 more answers
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