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KengaRu [80]
3 years ago
14

Ron Co. sold sweatshirts ($20) and baseball caps ($10). If total sales were $2,860 and people bought 6 times as many sweatshirts

as caps, how many of each were sold?
Mathematics
1 answer:
aksik [14]3 years ago
7 0
Let the total number of sweatshirts sold be S and the total number of baseball caps sold be B
Total sales is the total number of sweatshirts sold times $20 plus the total number of baseball caps sold times 10. 
Equation 1: 20S + 10B = 2860
people bought 6 times as many sweatshirts as caps. Which means the number of sweatshirts sold (S) is 6 times caps sold(B) 
Equation 2:  S = 6B --- substitute S in equation 1 with 6B
=> 20(6B) + 10B = 2860
=> 120B + 10B = 2860
=> 130B = 2860 --- divide both side by 130 
=> B = 2860/130 
=> B = 22 --- is the number of caps sold. 
To find the number of sweatshirts sold we use equation 2
S = 6B --- but we know now B = 22
=> S = 6(22) 
=> S = 132 

therefore 132 sweatshirts sold and 22 baseball caps sold. 

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d1i1m1o1n [39]

Answer:

m = \frac{-9}{13}

Step-by-step explanation:

I'm assuming by m, you mean the slope.

You have two points. (-11, 5) and (2, -4)

  • m = change in y-value ÷ change in x-value

1) Substitute in the points.

m = \frac{(-4)- 5}{2 - (-11)}

2) Solve.

  • -4 - 5 = -9
  • 2 - (-11) = 13

So, the slope would equal \frac{-9}{13}.

4 0
3 years ago
The end points of one side of a regular pentagon are (-1,4) and (2,3). What is the perimeter of the pentagon?
marissa [1.9K]
To determine the perimeter of the pentagon, you must first calculate a side length of it. Let's name the coordinates A(-1,4) and B(2,3).

To figure out how far the points are from each other, you have to use the distance formula:
D_{AB}  =  \sqrt{( x_{2}-x_{1})^2+{(y_{2}-y_{1})^2}

x_{1} =1, x_{2} =-2, y_{1} =2, y_{2} =3
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2}
D_{AB}= \sqrt{(2--1)^2+{(3-4)^2} 
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D_{AB}= \sqrt{(3)^2+(-1)^2}
D_{AB}= \sqrt{9+1}
D_{AB}= \sqrt{10}

Now, the formula for the perimeter of a pentagon is 
P = 5×side length
 
So...
Perimeter = 5×\sqrt{10}

The answer is (2)

8 0
3 years ago
HELPHELPHELP im on a timer
mr Goodwill [35]
8 is (7+4)/(7+4+5+9) = 11/25 = 0.44

9 is 5/(5+7) = 5/12 = 0.417 so I'm sorry I can't help with that one
5 0
3 years ago
What is the distance between (-3,4) and (4,4)​
Licemer1 [7]
(7,0) i think. i’m not sure so check
7 0
2 years ago
What’s the rate of change of the table above? <br> A) -1/3<br> B) 1/2<br> C) -1/4<br> D) 1/5
insens350 [35]

answer is option D

because you can divide them like

\frac{2}{10}  =  \frac{1}{5}  \\  \\  \frac{4}{20}  =  \frac{1}{5}  \\  \\  \frac{6}{30}  =  \frac{1}{5}  \\  \\  \frac{8}{40}  =  \frac{1}{5}

so the option is D

please mark this answer as brainlist

3 0
2 years ago
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