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olya-2409 [2.1K]
2 years ago
5

Pauline gets a 2% commission on her sales at her job. She sells $23,500 worth of products in May.

Mathematics
1 answer:
Illusion [34]2 years ago
7 0
470 dollars . 2% Of 23,500
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Which equation does the graph of the systems of equations solve?
mihalych1998 [28]

Answer:

\text{B. }\frac{1}{3}x-3=-x+1

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to (x_1,y_1) and (x_2, y_2) (doesn't matter which you assign) and use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let:

(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)

The slope is equal to:

m=\frac{0-1}{1-0}=\frac{-1}{1}=-1

Therefore, the slope of this line is -1. In slope-intercept form y=mx+b, m represents slope, so one of the lines must have a term with -x in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)

Using the slope formula:

m=\frac{-2-(-3)}{3-0}=\frac{1}{3}

Thus, the slope of the line is 1/3 and the other line must have a term with \frac{1}{3}x in it, eliminating answer choice C and leaving the answer \boxed{\text{B. }\frac{1}{3}x-3=-x+1}

*You can find the exact equation of each line by using the slope formula as shown and plugging in any point the line passes through into y=mx+b

7 0
3 years ago
When you flip a biased coin the probability of getting a tail is 0.34. Find the probability of getting a head.
koban [17]

Answer:

If you want to know what the probability is to get at least one Heads, then that is the same as the probability of all the events (100%, or 1) minus the probability of getting all Tails.

There are 100 coins. 99 are fair, 1 is biased with both sides as heads. With a fair coin, the probability of three heads is 0.53=1/8. The probability of picking the biased coin: P(biased coin)=1/100.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Evaluate the expression 4 ÷ 2 + 52.
ch4aika [34]

Answer:

54

Step-by-step explanation:

4 ÷ 2 + 52

Order of operation

=  2 + 52

= 54

5 0
3 years ago
Read 2 more answers
Is 3/4y=9 true or false
amm1812

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's solve your equation step-by-step.

3 / 4 y = 9

Step 1: Multiply both sides by 4/3.

(4 / 3 ) * ( 3 / 4 y ) = ( 4 / 3 ) * ( 9 )

y = 12

Answer:

y = 12

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Insert 12 to the y value:

3 / 4 ( 12 ) = 9

9 = 9

True

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

3 0
2 years ago
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HELP ME PLZZZ ASAP!
riadik2000 [5.3K]

Answer:

what do you mean

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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