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vovikov84 [41]
2 years ago
5

Sally makes balloon designs for various parties. She charges a $25 fee per party plus$10 per hour for her work. How much money d

oes Sally earn during a 5-hour party?
Mathematics
1 answer:
Morgarella [4.7K]2 years ago
8 0

Answer:

75

Step-by-step explanation:

10 times 5 = 50

50 + 25 = 75

10 per hour

25 per party

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Which represents the solution set of the inequality 5 x minus 9 less-than-or-equal-to 21
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Answer:

x less than or equal to 6

Step-by-step explanation:

5x-9 ≤ 21 ===> 5x ≤ 21+9 ===> 5x ≤ 30 ===> x ≤ 30/5 ===> x ≤ 6

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Which of the following expressions is equivalent to the expression 5(4n - 11) - 3n + 20?
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17n-35 would be the correct answer
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Which values represent the independent variable?
Sergeu [11.5K]

Answer:

C

Step-by-step explanation:

Traditionally, the y-value is the independent variable, while the x-value is the dependent variable.

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2 years ago
A friend of mine is giving a dinner party. His current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabe
Vlada [557]

Answer:

a) 720, b) 475020, c) 69300, d) 0.146, e) 0.001

Step-by-step explanation:

It is given that my friend has 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet.

a)

If he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways is

10\times 9\times 8=720

Therefore if he wants to serve 3 bottles of zinfandel and serving order is important, then the total number of ways are 720.

b)

The total number of bottles is

10+8+11=29

Combination is defined as

^nC_r=\frac{n!}{r!(n-r)!}

where, n is total possible outcomes and r is selected outcomes.

we have to select 6 bottles out of 29. so,

^{29}C_{6}=475020

Therefore ff 6 bottles of wine are to be randomly selected from the 29 for serving, then the total number of ways are 475020.

c)

If we want to select 2 bottles of each variety, then total number of ways are

^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}=69300

Therefore if 6 bottles are randomly selected with two bottles of each variety, then the total possible ways are 69300.

d)

Probability is defined as

P=\frac{\text{Total outcomes}}{\text{Favorable outcomes}}

\frac{^{10}C_{2}\times ^{8}C_{2}\times ^{11}C_{2}}{^{29}C_{6}}=\frac{69300}{475020}\approx 0.146

Therefore the probability that two bottles of each variety being chosen is 0.146.

e)

If 6 bottles are randomly selected, then the probability that all of them are the same variety is

\frac{^{10}C_{6}+^{8}C_{6}+^{11}C_{6}}{^{29}C_{6}}=\frac{700}{475020}\approx 0.001

Therefore if 6 bottles are randomly selected, then the probability that all of them are the same variety is 0.001.

7 0
2 years ago
The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar
Levart [38]
Let the side of  one square be x.    Area = x*x = x²

Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

Therefore  5x²  = 45   Divide both sides by 5
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                  x²  = 9        Take square root of both sides
                  x   =  √9
                  x  = 3

Length of larger square is 2x  = 2*3 = 6 cm
Length of larger square = 6cm
7 0
2 years ago
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