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3 years ago

11

Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y =

9x, where x is the number of hours he works and y is the total amount he earns. Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below. Tuesday Thursday Saturday Hours worked 6 8 5 Amount paid $52.50 $70.00 $43.75 Which statement best describes the hourly rates? The two jobs pay the same hourly rate. The comparison cannot be made with the information given. Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job. Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.

1 answer:

Pepsi [2]3 years ago

5 0

Answer:

Jason's camp counselor job pays a higher rate than Mia's lifeguard job.

Jason's job pays $9 a hour.

Mia's job pays $8.75 a hour.

52.50 divided by 6 equals 8.75

70.00 divided by 8 equals 8.75

43.75 divided by 5 equals 8.75

Step-by-step explanation:

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

3 years ago

One factor of 7x2 + 33x – 10 is

stiv31 [10]

$7x^{2} +33x-10=0$

$\implies 7x^{2} +35x-2x-10=0\\\implies7x(x+5)-2(x+5)=0\\\implies (7x-2)(x+5)=0$

$7x - 2 = 0\\\implies \boxed{\bold{x = \frac{2}{7} }}$

$x+5=0\\\implies \boxed{\bold{x=-5}}$

6 0

3 years ago

What is the GCF of two prime Numbers ??Give an example.

Dima020 [189]

Since prime numbers only have two factors (itself and 1) then it would have to be the same number. So it would be the number besides one. Ex. Prime number: 7, the GCF would be 7 if it was compared with itself.

8 0

3 years ago

Write the coefficient of a in 7 a

Arturiano [62]

Given:

The term is 7a.

To find:

The coefficient of "a" in the given term "7a".

Solution:

In the product of a number and a variable, the number is called the coefficient of that variable.

In the expression "7a", the number is "7" and the variable is "a". It means the number 7 is the coefficient of "a".

Therefore, the coefficient of "a" in the given term "7a" is 7.

8 0

2 years ago

Select the correct answer.<br> Which graph shows a function and its inverse?

labwork [276]

Answer:

See below

Step-by-step explanation:

If a function is bijective and 1-to-1, then it will have an inverse function. Consequentially, they will be symmetrical about the line $y=x$ , which is a diagonal line passing through the origin at a 45 degree angle.

None of the graphs look correct though, but it also seems that some options are cut out, so make sure to choose the correct graph given the characteristics I've previously described.

6 0

2 years ago

Read 2 more answers