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Ivenika [448]
3 years ago
7

4) A sales associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47

in commission for selling 3 suits and a pair of shoes. The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes.
a) Write a system of equations to represent the situation. Explain what your x and y will represent.


b) Solve the system of equations.


c) How much commission does she earn for selling each suit and each pair of shoes?
Mathematics
1 answer:
NeX [460]3 years ago
8 0
Answer a write a system of equation 
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ser-zykov [4K]
On the x axis means that the y value is 0 or the point is (x,0)

distance formula

D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
we know that distance is 5
the first point is (x1,y1)
the (x2,y2) is (x,0)

so
D=5
x1=-8
y1=3
x2=x
y2=0

5=\sqrt{(-8-x)^2+(3-0)^2}
5=\sqrt{(-8-x)^2+(3)^2}
5=\sqrt{64+16x+x^2+9}
5=\sqrt{x^2+16x+73}
square both sides
25={x^2+16x+73}
minus 25 both sides
0=x^2+16x+48
factor
0=(x+4)(x+12)
set each to zero

x+4=0
x=-4

x+12=0
x=-12

the points are

(-4,0) and (-12,0)

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3 years ago
What is the surface area of the triangular prism?<br> pls help!!
Liono4ka [1.6K]

Answer:

168

Step-by-step explanation:

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3 years ago
PLS HELP I ONLY NEED PART B
Mashcka [7]

Answer:

X= 2y - 3  

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Step-by-step explanation: hope this helps!!! :)

7 0
3 years ago
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Write and solve an equation to find the numben.
trasher [3.6K]

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32

Step-by-step explanation:

let number=b

twice a number=2b

Condition:

2b+13=75

2b=75-13

2b=62

b=62/2

b=31

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6 0
3 years ago
Jasmine had a carrot cake with cream cheese frosting for her birthday .she and her friend each ate 1/4 of the cake and jasmine's
zloy xaker [14]
Hey there!

To solve this problem, you first would need to solve for how much of the cake is left after Jasmine, her friend, and Jasmine's brother got their slices. Then, you would need to split the remaining amount in half to get the answer of what each parent ate. We would need to make all of the denominators the same, so let's make all of the fractions out of 12, a common denominator of 3 and 4. 

\frac{12}{12} - \frac{1}{4} - \frac{1}{4} - \frac{1}{3}
\frac{12}{12} - \frac{3}{12} - \frac{3}{12} - \frac{4}{12}
\frac{12}{12} - \frac{10}{12} = \frac{2}{12}

It can then be concluded that each parent ate \frac{1}{12} of the cake, since there was \frac{2}{12} remaining. 

You can check this answer by adding up all of the parts we used in this problem:

\frac{3}{12} + \frac{3}{12} + \frac{4}{12} +  \frac{1}{12} +  \frac{1}{12} = \frac{12}{12}

Hope this helped you out! :-)
3 0
3 years ago
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