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liberstina [14]
3 years ago
13

Question down below thanks

Mathematics
1 answer:
lara [203]3 years ago
7 0

Answer:

-x + 1 > 3, and 4x + 6 < -2

Step-by-step explanation:

The inequality reads x < -2, so the arrow follows any values that are less than -2. So we need to simplify each inequality in the following options to see which match x < -2.

-4x+3> -5 simplifies to x < 2 so it's wrong

-2x + 4 > -4 simplifies to x < 4 so it's wrong

-x + 1 > 3 simplifies to x < -2, so it's right

2x + 5 < -3 simplifies to x < -4, so it's wrong

4x+ 6 < -2 simplifies to x < -2, so it's right

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