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notka56 [123]
2 years ago
7

Who’s right? And why?

Mathematics
1 answer:
kvasek [131]2 years ago
3 0

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

(x_1,y_1) = (3,275) \text{ and } (x_2,y_2)  = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.

Flipped around it means each time x goes up by 1, y goes up by 75.

This means each time we add on an extra hour, the cost goes up by $75.

The DJ charges $75 an hour. Raymond is correct.

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What is (3x+12)-(6x+5)
yaroslaw [1]

Answer: -3x + 7

Step-by-step explanation: All you have to do is combine like terms

First, you combine 3x - 6x which, will give you -3x

Second, you combine 12 - 5 which will give you 7

  3x - 6x = -3x

  12 - 5 = 7

So, combine the answers and you will get -3x + 7

7 0
2 years ago
What division statements have a quotient of 20
Jlenok [28]

Answer:

In the example, 20 is the dividend, five is the divisor, and four is the quotient. Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend; for example, 10 ÷ 3 leaves a remainder of one, as 10 is not a multiple of three.

Step-by-step explanation:

5 0
3 years ago
Supervisor a earns a flat rate of $25 per hour, while supervisor b earns $20 per hour for the first 30 hours and then 50% more f
jek_recluse [69]
A: 25h
b:20h+30(h-30)
25h=20h+30(h-30)
5h=30h-30^2
-25h=-30^2
25h=30^2
h=900/25
8 0
3 years ago
Read 2 more answers
Plz i need this asap, if you do not know all of them, plz do not answer
Lelechka [254]
1. sqrt 52 = 7.211 rounds to 7

2. irrational number

3. sqrt 441 = 21....rational

4. 12^2 + 3^2 = h^2
    144 + 9 = h^2
     153 = h^2
      sqrt 153 = h
      12.4 = h <===

5. 6^2 + b^2 = 18^2
    36 + b^2 = 324
    b^2 = 324 - 36
    b^2 = 288
    b = sqrt 288
    b = 16.97 rounds to 17 <==

6. 39^2 + 52^2 = c^2
    1521 + 2704 = c^2
    4225 = c^2
    sqrt 4225 = c
    65 = c
    (39 + 52) - 65 = 91 - 65 = 26 miles shorter <==

7. 4^2 + b^2 = 16^2
     16 + b^2 = 256
     b^2 = 256 - 16
     b^2 = 240
     b = sqrt 240
     b = 15.49 rounds to 15.5 <==

8. ?
8 0
3 years ago
What is the ratio for sine
Sphinxa [80]

Answer:

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

Step-by-step explanation:

There is a trigonometric acronym for this which is:

Soh Cah Toa

Soh means that sine is opposite over hypotenuse.

Cah means that cosine is adjacent over hypotenuse.

Toa means that tangent is opposite over adjacent.

Let me actually write these out as fractions:

sine is \frac{\text{opposite}}{\text{hypotenuse}}

cosine is \frac{\text{adjacent}}{\text{hypotenuse}}

tangent is \frac{\text{opposite}}{\text{adjacent}}

Blank 1: opposite

Blank 2: adjacent

Blank 3: opposite

Blank 4: adjacent

4 0
3 years ago
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