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DanielleElmas [232]

2 years ago

12

A new compact car can travel 288 miles is a nine gallons of gas. The distance driven in miles y varies directly with the number

of gallons of gas x. This situation can be represented by the equation y = 32x

1 answer:

Y_Kistochka [10]2 years ago

8 0

Answer:

32 miles per gallon

Step-by-step explanation:

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A certain cake recipe calls for 2 7/8 cups of sugar to make one cake, If you want to make four cakes, how many cups of sugar, do

maksim [4K]

You have too divide 2 and 7 and 8 divided by the sum and that’s your answer

8 0

2 years ago

Find the HCF and LCM of 126 and 234?

Leni [432]

Answer:

Below in bold.

Step-by-step explanation:

Find the prime factors:-

126 = 2 * 3 * 3 * 7

234 = 2 * 3 * 3 * 13

So the GCF = 2 * 3 * 3 = 18.

The LCM = 2 * 3 * 3 * 7 * 13

= 1638.

8 0

2 years ago

What is the reference angle for 7pi/6

DanielleElmas [232]

The reference angle is a positive acute angle. Angle 7π/6 in radians= = 7*180°/6 = 210° ( because π rad=180°).
This angle is in the 3rd Quadrant and formula for the reference angle is:
x-180°.
210°-180°=30°
Answer: The reference angle for 7π/6 is 30°.

3 0

3 years ago

Read 2 more answers

Find the area. Round to the nearest tenth.

olga_2 [115]

Answer:

Step-by-step explanation:

The area of a triangle is

$A=\frac{1}{2}bh$ and we have the base (12m) and we need to find the height. Using Pythagorean's Theorem:

$6^2=4^2+h^2\\36=16+h^2\\20=h^2\\h=2\sqrt{5}$

That's the height that we will sub into the area formula:

$A=\frac{1}{2}(12)(2\sqrt{5})\\A=12\sqrt{5}\\A=26.8$

8 0

2 years ago

Find the value of y so that the line passing through the two points have the given slope (2,3) (7,y) m=-2/5

Liono4ka [1.6K]

Answer:

y = 1

Step-by-step explanation:

Find the slope of the line passing through the points $(2,3)$ and $(7,y):$

$m=\dfrac{y-3}{7-2}=\dfrac{y-3}{5}$

The slope of the line is equal to

$m=-\dfrac{2}{5},$

then

$\dfrac{y-3}{5}=-\dfrac{2}{5}\\ \\y-3=-2\\ \\y=-2+3\\ \\y=1$

8 0

2 years ago