Simplify the expression: -8(-8a - 9)

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1. The length of a swimming pool is 8m longer than its width and the area is 105m2.

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$width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2$

A vendor sells hot dogs and bags of potato chips. A customer buys 5 hotdogs and 2 bags of potato chips for $11.50. Another customer buys 3 hotdogs and 5 bags of potato chips for $9.75. Find the cost of each items.

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Answer:

Hotdogs cost $2 and potato crisps $0.75.

Step-by-step explanation:

Let the hotdogs cost $h and the crisps $p

5h + 2p = 11.5

3h + 5p = 9.75

Multiply the first equation by -5 and the second by 2:

-25h - 10p = -57.5

6h + 10p = 19.5 Adding these 2 equations:

-19h = -38

h = $2.

Substitute h = 2 into the first equation:

5h + 2p = 11.5

10 + 2p = 11.5

2p = 1.5

p = $0.75.

25% of all college students major in stem (science, technology, engineering, and math). if 30 college students are randomly selected, find the probability that