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4 years ago

In Scott’s backyard, he has a windmill that makes 5 ¾ of a turn every hour. How many turns does it make for 1 ½ hours?

Mathematics

1 answer:

DanielleElmas [232]4 years ago

3 0

Answer: 8 5/8 turns

Step-by-step explanation:

Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).

Mathematically speaking:

5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)

In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.

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Select the correct answer.<br> Rewrite the following equation as a function of x.

ivolga24 [154]

Option B:

$${f(x)}=9280-20x$

Solution:

$$\frac{1}{16} x+\frac{1}{320} y-29=0$

$$\frac{1}{16} x+\frac{1}{320} y-\frac{29}{1} =0$

Take LCM of the denominators and Make the denominators same.

LCM of 16, 320, 1 = 320

$$\frac{1\times20}{16\times20} x+\frac{1}{320} y-\frac{29\times 320}{1\times 320} =0$

$$\frac{20}{320} x+\frac{1}{320} y-\frac{9280}{320} =0$

All the denominators are same, so you can write in one fraction.

$$\frac{20x+y-9280}{320}=0$

Do cross multiplication.

$${20x+y-9280}=0\times 320$

$${20x+y-9280}=0$

Add 9280 on both sides of the equation.

$${20x+y}=9280$

Subtract 20x on both sides of the equation.

$${y}=9280-20x$

Let y = f(x).

$${f(x)}=9280-20x$

Hence Option B is the correct answer.

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