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natita [175]
3 years ago
7

7.5% of what number is equal to 85% of 200?

Mathematics
2 answers:
Ksivusya [100]3 years ago
8 0
Solving:

\frac{7.5}{100} *x =  \frac{85}{100} * 200

\frac{7.5x}{\diagup\!\!\!\!\!\!\!\!100} = \frac{17000}{\diagup\!\!\!\!\!\!\!\!100}
7.5x = 17000
x =  \frac{17000}{7.5}
x = 2266.6666... \:\to \boxed{\boxed{x \approx 2266.67}}\end{array}}\qquad\quad\checkmark
Norma-Jean [14]3 years ago
6 0

Answer:

7.5% of 2266.67 is equal to 85% of 200.

Step-by-step explanation:

First we make an equation from the given question.

7.5% of what number is equal to 85% of 200

Let that number would be x, now find the value of x

\frac{7.5}{100} x=\frac{85}{100} × 200

0.075x = 0.85 × 200

0.075x = 170

x = \frac{170}{0.075}

x = 2266.66666 rounded to 2266.67

7.5% of 2266.67 is equal to 85% of 200.

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A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in
Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

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at^2+bt+c=0

So we get

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Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

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Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

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3 0
3 years ago
Roy and Sam start solving the equation as follows.
denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

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According to the addition property of equality a=b and a+c=b+c are equivalent equations.

Use addition property of equality, add 3x on both the sides.

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Therefore Sam's work is incorrect because he make calculation mistake.

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Use subtraction property of equality, subtract 5x from both the sides.

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Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

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