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Sergeu [11.5K]
3 years ago
13

A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending

a total of $119. His Mandy purchased 1 t-shirt and 1 baseball cap, which cost her a total of $43. Assuming that all of the t-shirts and all of the caps are the same price, what is the price of each?
Shirts are $____apiece and caps are $___apiece.
help thanks
Mathematics
1 answer:
Inessa [10]3 years ago
7 0

Answer:

Shirt-$19

Cap-$24

Step-by-step explanation:

5s+1c=119

1s+1c=43

1c=43-1s

substitute:

5s+(43-1s)=119

5s+43-1s=119

4s=119-43

4s=76

1s=19

substitute:

1c=43-(19)

1c=24

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Find the measure of the exterior angle.
Illusion [34]

Answer:

<em> 108 degrees</em>

Step-by-step explanation:

From the diagram we are given

Interior angles are 2x + 1 and 63 degrees

Exterior angle = 5x -2

The sum of interior angles is equal to the exterior angle

2x + 1 + 63 = 5x - 2

2x + 64 = 5x - 2

2x - 5x = -2-64

-3x = -66

x = -66/-3

x = 22

Get the exterior angle:

Exterior angle = 5x-2

Exterior angle = 5(22) - 2

Exterior angle = 110-2

Exterior angle  = 108 degrees

<em>Hence the measure of the exterior angle is 108 degrees</em>

5 0
3 years ago
If someone can answer this and explain it, I would really appreciate it, thanks.
daser333 [38]

Answer:

x = 13

Step-by-step explanation:

Now since the lines are parrarel, the intersection points are alternate to each other. Therefore, A = B.

Solve:

8x + 2 = 14x - 76

2 + 76 = 6x

78 = 6x

x = 13

8 0
3 years ago
Read 2 more answers
If you double the lengths of a rectangle what can you say about the new area of it.
ivolga24 [154]

Answer:

B

Step-by-step explanation:

because u increased it by 2x

3 0
3 years ago
−2y = 9x + 6<br> slope = <br> y-intercept =
Y_Kistochka [10]

Answer:

isnt the slope 4.5

Step-by-step explanation:

wewewewewewe

7 0
2 years ago
A line passes through the points (p, a) and (p, –a) where p and a are real numbers. If p=0, what is the y-intercept? Explain you
Vsevolod [243]
The slope of the line passing through the points A(a, b), and B(c, d), is given by 
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thus, the slope of the line through <span>points (p, a) and (p, –a) is 

                               </span>\displaystyle{ m=\frac{-a-a}{p-p}=\frac{-2a}{0}.

When applying the slope formula results in division by zero, this means that the line is a vertical line.

This could have also been noticed directly, since the line contains 2 points with the same x-coordinate. 

The equation of this line is x=p, since the x-coordinate is always p, no matter what y is.

If p=0, then the equation of the line is x=0, which is the y-axis itself. In this case, the y-intercept is the whole y-axis.

Answer: The whole y-axis.




7 0
3 years ago
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