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strojnjashka [21]
3 years ago
8

Please help me I need this question done by tonight. The amount that a consultant charges for her work can be modeled using a li

near function. For 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. How much money does the consultant earn each hour?
Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer: The consultant earn $50 each hour.

Explanation:

It is given that for 4 hours of work, the consultant charges $400. For 5 hours of work, she charges $450. The amount that a consultant charges for her work can be modeled using a linear function.

If the linear function represents the amount earn by consultant in hours the the coordinates can be written as (4, 400) and (5, 450).

If we want to find how much money does the consultant earn each hour, so first we have to find the slope of linear function which passing through two points (4, 400) and (5, 450).

\text{Slope}=\frac{y_2-y_1}{x_2-x_1}

\text{Slope}=\frac{450-400}{5-4}

\text{Slope}=\frac{50}{1}

\text{Slope}=50

In the linear function the slope show the earning of consultant per hour, therefore consultant earn $50 each hour.

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3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys
Svetach [21]

Answer:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = x

Given that, \frac{3}{7} of 8th graders play sports

\Rightarrow 8th graders who play sports = \frac{3}{7} \times x

Also, Given that, \frac{3}{5} of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = \frac{3}{5} \times \text{Number of 8th graders who play sports}

\Rightarrow \dfrac{3}{5} \times \dfrac{3}{7} \times x\\\Rightarrow \dfrac{9}{35} \times x

Hence, the answer is:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

6 0
2 years ago
Please answer/do 3-7!! Whoever does it right, i will give brainlest! :) also, PLEASE FILL IT OUT EITHER ON PAPER/ PHONE etc. !!!
meriva

Answer:

3-7 is negitive 4 in your answer it's 3-7 = -4

Step-by-step explanation:

It's negitive four because if you subtract you will get 4 but since it's other way around. And if you do It, it will say that even if there is no negitive sign it won't change the problem because it's still the same problem.

1) 3 - 7

2) there are 3 ways to do this to get the answer:

1) 3/7

2) 7 + 3 - 4 + 3

3) now 7 + 3 is ten - 7 is 3 + 4 is 7, so then if you do 3 - 7 you get negitive four

4) now check your answer by subtracting 3 and 7

5) then you get -4

btw: ( hope this helped :) )

7 0
2 years ago
Read 2 more answers
What is the answer to 5^3 × 25 = ?
Zolol [24]

Hey there!

Answer:\boxed{3125}

Explanation:

5^3*25

5^3=125

125*25=3125

\boxed{3125}\text{ is the answer.}

Hope this helps!

\text{-TestedHyperr}

5 0
3 years ago
State if the two triangles are congruent. If they are, state the triangle congruence theorem that proves it
dexar [7]

Answer:

Not congruent

Step-by-step explanation:

The sides that are equal in length are not in the same place if you align the triangles.

8 0
2 years ago
Function rule y=3x-3
lianna [129]

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

4 0
3 years ago
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