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asambeis [7]
4 years ago
10

A business consultant earns a flat fee for his work as well as an hourly fee. He charges his clients at a rate of $75 per hour.

In one week, he billed a client $1,800 for 20 hours worked. Which of the following equations describes the pay for the consultant in terms of hours worked? A. y = 20x – 300 B. y = 20x + 300 C. y = 75x – 300 D. y = 75x + 300
Mathematics
1 answer:
gregori [183]4 years ago
5 0
The answer would be D. y=75x+300 because if you multiply 75 and 20 you would get 1500 and subtract 1800 for how much was paid and 1500 for the result of multiplying 75 and 20
Answer is D. y=75x+300
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The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?
Paladinen [302]
Just plug in the values for m

so the possible values for k are
when m=5
2k=5+3 \\ k=4
when m=7
2k=7+3 \\ 
k=5
when m=9
2k=9+3 \\ k=6
so the possible values for k are {4,5,6}
4 0
4 years ago
(04.02 MC)<br> Solve the system of equations.<br> 5x + y = 9<br> 3x + 2y = 4
goblinko [34]

Answer:

(2,-1)

Step-by-step explanation:

Multiply first equation by 2:

10x + 2y = 18

Subtract the second equation from this so that the 2y terms cancel:

10x - 3x = 18 - 4

7x = 14

x = 2

Plug into first equation to find y:

5(2) + y = 9

10 + y = 9

y = -1

The answer is (2,-1)

7 0
4 years ago
Read 2 more answers
Solve the following word problem: Kay made 5 less phone calls today than Stephanie. If together they made 21 calls, how many cal
professor190 [17]
Answer:
Kay made 8 phone calls
Stephanie made 13 phone calls

Explanation:
Assume the number of phone calls that Stephanie made is x.
We are given that:
Kay made 5 phone calls less than Stephanie.
This means that:
Kay made x-5 phone calls

We know that the total number of phones is 21.
This means that:
21 = x + x - 5

Now we solve for x as follows:
21 = x + x - 5
21 = 2x - 5
2x = 26
x = 26/2
x = 13

This means that:
Stephanie made x = 13 phone calls
Kay made x - 5 = 13 - 5 = 8 phone calls

Hope this helps :)
5 0
3 years ago
1, 3,4,5,11, answer is 65 _ + (_-_)^2 +_x_
Y_Kistochka [10]

Answer:

1 + (11-4)^2 +3x5

Step-by-step explanation:

1 + (11-4)^2 +3x5

1 + (7)^2 + 3 x 5

1 + 49 + 15

50 + 15 = 65

5 0
3 years ago
Verify the identity by transforming the left-hand side into the right-hand side.
qaws [65]
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1

Starting with the left:  Note that  cos²θ + </span><span>sin²θ = 1.
In the same way:    </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore                cos²3θ  = 1 - <span>sin²3θ
</span> From the top:  (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ

=  2/<span>sin² 3θ - 1;        But 1/</span><span>sinθ = csc</span><span>θ,  Similarly  </span>1/sin3θ = csc3θ

= 2 *(1/sin<span>3θ)²  - 1</span>
= 2csc²3θ  - 1.        Therefore  LHS = RHS.  QED.

8 0
4 years ago
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