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asambeis [7]
3 years ago
11

Christy earns $8 an hour for babysitting. She also earns a weekly bonus of $15 for helping children with their child's homework

assignments. The first week, Christy earned $125 for x hours of work. Based on this situation, which statement is true? Show Work!
(A) Christy worked a total of 17 1/2 hours.
(B) Christy worked a total of 17 3/4 hours.
(C) Christy worked a total of 13 1/2 hours.
(D) Christy worked a total of 13 3/4 hours.
Mathematics
1 answer:
kirza4 [7]3 years ago
5 0
A) Christy worked a total of 17 1/2 hours
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NemiM [27]

Given:

D=165 feet and the frequency of the motion is 1.6 revolutions per minute.

Solution:

The radius is half of the diameter.

The radius of the wheel is 82.5 feet.

T=\frac{1}{1.6} \text{ minutes}

As we know: \omega=\frac{2\pi}{T}

Substitute the value of T in the above formula.

\omega=\frac{2\pi}{\frac{1}{1.6}}\\\omega=3.2\pi

If the center of the wheel is at the origin then for t=0 the rest position is -a.

This can be written as:

h(t)=-a\cos(\omega t)\\h(t)=-82.5cos(32.\pi t)

The actual height of the rider from the ground is:

h(t)=\text{ Initial height from bottom}+\text{ radius}-82.5\cos(3.2\pi t)\\h(t)=15+82.5-82.5\cos(3.2\pi t)\\h(t)=97.5-82.5\cos(3.2\pi t)

The required equation is h(t)=97.5-82.5\cos(3.2\pi t).

3 0
3 years ago
Find 100,000 more than 3,489,234.
EastWind [94]

Answer:

The answer is 3,589,234

Step-by-step explanation:

Because it basically means addition meaning you just have to add it 3,489,234 + 100,000 gives you the answer

7 0
3 years ago
Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87​ +2 54​ )− 21​
lora16 [44]

Answer:

12\dfrac{7}{40}

Step-by-step explanation:

The given expression is

\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}

We need to find the simplified form of the given expression.

It can be rewritten as

\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}

Combine integers and fractions separately.

(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})

Taking LCM we get

11+\dfrac{35+32-20}{40}

11+\dfrac{47}{40}

In can be written as

11+\dfrac{40+7}{40}

11+1+\dfrac{7}{40}

12+\dfrac{7}{40}

12\dfrac{7}{40}

Therefore, the expression 12\dfrac{7}{40} is equivalent to the given expression.

5 0
3 years ago
Help me! Answer in pic not correct !
sladkih [1.3K]

Answer:

Q'=(4,1)\\R'=(6,-5)\\S'=(3,-4)\\T'=(1,-1)

Step-by-step explanation:

First we have to find the coordinates of the original ordered pairs then we will do the translation.

Q=(1,3)\\R=(3,-3)\\S=(0,-2)\\T=(-2,1)

Now we will add 3 to every x value and add a -2 to every y value.

Q=(1_{+3},3_{+(-2)})\\R=(3_{+3},-3_{+(-2)})\\S=(0_{+3},-2_{+(-2)})\\T=(-2_{+3},1_{+(-2)})

When you do that you will get the new prime points.

Q'=(4,1)\\R'=(6,-5)\\S'=(3,-4)\\T'=(1,-1)

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I DONT CARE IF YOU LOOK THIS UP JUST DO THE CORRECT ONE ON THE SOURCE AND BEST STARS: https://brainly.com/question/7807259
salantis [7]

Answer:

60% heads

Step-by-step explanation:

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