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Step2247 [10]
3 years ago
9

Lucie is struggling with Geometry and is in need of a private tutor. She has two candidates in mind. The veteran tutor charges $

15 for the first session plus $60 per hour afterward. The new college graduate charges $45 for the first session plus $50 per hour afterward. How many hours must these two tutor in order to earn the same amount of money?
Mathematics
1 answer:
valkas [14]3 years ago
6 0

Answer:

3 hours

Step-by-step explanation:

Let the number for hours afterward be represented as: x

The veteran tutor charges $15 for the first session plus $60 per hour afterward.

This is expressed as

$15 + $60 × x

15 + 60x

The new college graduate charges $45 for the first session plus $50 per hour afterward.

$45 + $50 × x

45 + 50x

The number of hours these two must tutor in order to earn the same amount of money is calculated as:

Veteran tutor = New college graduate tutor

15 + 60x = 45 + 50x

60x - 50x = 45 - 15

10x = 30

x = 30/10

x = 3 hours

Therefore, the number of hours these two must tutor in order to earn the same amount of money is 3 hours

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Irina-Kira [14]

Answer:

The answer is

<h2>126 feet</h2>

Step-by-step explanation:

Circumference of a circle is πd

Where d is the diameter

From the question

d = 40 feet

Circumference of the circle is

40π

= 125.66

= 126 feet to the nearest whole number

Hope this helps you

7 0
3 years ago
The graph below shows the relationship between the number of months different students practiced boxing and the number of matche
yulyashka [42]

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Part B: Using the line, you could determine that the slope is about 3/2, or 1.5, and the 13th month would be at about 24 matches.

Equation: y=4x+1.5

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5 0
3 years ago
Read 2 more answers
Organize the following polynomial expressions from least to greatest based on their degree:
Mumz [18]

Answer:

Step-by-step explanation:

We have to organize the given polynomials from the least to greatest based on their degrees.

A). x + 2xyz

Here xyz = x^{1}y^{1}z^{1}

Power of x is = 1

Power of y = 1

and power of z = 1

So degree of (x + xyz) will be degree of the highest degree term = 1 + 1 + 1 = 3

B). 9x³y²

Degree of this term = power of x + power of y = 3 + 2 = 5

C). 18x²+ 5ab - 6y

Degree of the polynomial = Highest degree of the variable x = 2

D). 4x^{4}+3x^{2}-x-4

Degree of highest degree term 4x^{4} = 4

So sequence of the polynomials based on their degrees will be

C - A - D - B [From lowest to highest]

8 0
3 years ago
Save-way-more food store received  a delivery of 86 boxes of apples and bananas. Each box of apples had a mass of 32 Ib., and ea
hammer [34]
1) write a linear system - let a = boxes of apples and b = boxes of bananas
a + b = 86
32a + 16b = 1968

2) solve - use substitution
a = 86 - b
32(86 - b) + 16b = 1968
2752 - 32b + 16b = 1968
-16b = -784
16b = 784
b = 49
a + 49 = 86
a = 37

37 boxes of apples and 49 boxes of bananas
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3 years ago
Solve the equation for 0 ≤ x 2π 4sin^2x+1=-4sinx
finlep [7]

Answer:

7pi/6, 11pi/6

Step-by-step explanation:

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3 years ago
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