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KIM [24]
3 years ago
13

Iris charges a fee for her consulting services plus an hourly rate that is 11 times her fee. On a 7-hour job, Iris charged $470.

What is her fee 5 and her hourly rate?
Mathematics
1 answer:
NemiM [27]3 years ago
6 0
To answer this question, we let x be the the consulting fee of Iris. With this representation, the value for the hourly rate is equal to 11x. The equation that would allow us to relate the consulting services fee, hourly fee and total value given that she worked for 7 hours would then be equal to,
      x + (7)(11x) = 470
Simplifying the left-hand side of the equation,
    78x = 470
Dividing the equation by 78 will give us an answer of 6. 

Hence,
<em>  x = $6 (Consulting services fee)</em>
<em> 11x = 11($6) = $66 (hourly rate)</em>

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Prove that:
Monica [59]

Recall that

sin²(<em>x</em>) = (1 - cos(2<em>x</em>))/2

so that

sin²(7<em>π</em>/8) = (1 - cos(7<em>π</em>/4))/2

sin²(5<em>π</em>/8) = (1 - cos(5<em>π</em>/4))/2

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3 0
3 years ago
PLEASE HELP ME WITH THIS MATH PROBLEM
Viefleur [7K]

Answer:

22π

Step-by-step explanation:

The area formula for a sector is

A=\frac{\theta }{360}*\pi  r^2

The angle theta is to be the angle that is a part of the sector for which we are trying to find the area.  If we are looking for the area of the larger sector, we are not using 140 as our angle theta, we are using 360 - 140 = 220 as our angle theta since that is the angle for the larger of the 2 sectors.  Filling in our formula using r = 6:

A=\frac{220}{360}*36\pi

The easiest way to handle this math is to multiply the 220 by the 36, hit enter on your calculator, then divide that product by 360.  When you do that your answer, in terms of pi, is 22π

5 0
3 years ago
For 6z=126, Chris wrote that z=756. Explain what Mike’s mistake was. Then tell the correct answer.
Anarel [89]

Step-by-step explanation:

6z=126

z = 126 ÷ 6 = 21

Chris's

z = 756

6z= 126

z = 126 × 6 = 756

correct answer = 21

the number 6 is being multiplied with z.So if the number 6 is going to the right side it will divide the number on the right side.

but for chris he multiplied the number on the right side with 6.So that is the mistake.

4 0
3 years ago
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