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fredd [130]
3 years ago
11

Nic sells advertising packages for a radio station. The company pays him $ 150 $150 per week and they also pay him $ 75 $75 for

every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $ 1 , 275 $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?
Mathematics
1 answer:
love history [14]3 years ago
5 0

Answer:

15 Packages

Step-by-step explanation:

Let number of packages = x

For Nic

Nic sells advertising packages for a radio station. The company pays him $ 150 per week and they also pay him $ 75 for every package he sells.

Equation =

150 + 75x

His friend Asia works for the same radio station but she receives a salary only, which is $ 1 , 275per week.

We solve by equating

150 + 75x = 1275

75x = 1275 - 150

75x = 1125

x = 1125/75

x = 15 Packages

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Law Incorporation [45]

Answer:

p = -14

Step-by-step explanation:

5/7p - 2/7p + 12 = 6

Combine like terms

3/7 p +12 = 6

Subtract 12 from each side

3/7p + 12-12 = 6-12

3/7p = -6

Multiply each side by 7/3

7/3 * 3/7p = -6*7/3

p = -14

8 0
3 years ago
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Annie is framing a photo with a length of 6 inches and a width of 4 inches. The distance from the edge of the photo to the edge
Ede4ka [16]

Answer:

Part a) The quadratic function is 4x^{2} +20x-39=0

Part b) The value of x is 1.5\ in

Part c) The photo and frame together are 7\ in wide

Step-by-step explanation:

Part a) Write a quadratic function to find the distance from the edge of the photo to the edge of the frame

Let

x----> the distance from the edge of the photo to the edge of the frame

we know that

(6+2x)(4+2x)=63\\24+12x+8x+4x^{2}=63\\ 4x^{2} +20x+24-63=0\\4x^{2} +20x-39=0

Part b) What is the value of x?

Solve the quadratic equation 4x^{2} +20x-39=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem

we have

4x^{2} +20x-39=0

so

a=4\\b=20\\c=-39

substitute in the formula

x=\frac{-20(+/-)\sqrt{20^{2}-4(4)(-39)}} {2(4)}

x=\frac{-20(+/-)\sqrt{1,024}} {8}

x=\frac{-20(+/-)32} {8}

x=\frac{-20(+)32} {8}=1.5\ in  -----> the solution

x=\frac{-20(-)32} {8}=-6.5\ in

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(4+2x)=4+2(1.5)=7\ in

5 0
3 years ago
John recieves £173 per week after working for 25 hours. How much does he get per hour
inessss [21]

Answer:

Amount John gets paid per hour 6.92 Dollars per hour ,

Step-by-step explanation:

To find how much he gets paid per hour we need to divide the total payment he received by the total number of hours he worked.

Amount John gets paid per hour = \frac{173}{25} Dollars per hour.

                                                       =6.92 Dollars per hour

4 0
4 years ago
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professor190 [17]

Answer:

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Step-by-step explanation:

Height = 5

Width = 4x² - 2x - 6

Area of rectangle = length × breadth

Area of triangle = height × width

Area = 5 × (4x² - 2x - 6)

Area = 20x² - 10x - 30

Area of the rectangle is 20x² - 10x - 30

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makkiz [27]

Answer:

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Step-by-step explanation:

Since one pound costs $2.99, and one pack contains 1.59 pounds, you multiply $2.99 by 1.59 pounds which should give you approximately $4.75

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3 years ago
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