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professor190 [17]
3 years ago
6

Billy has a gift card with a $150 balance. He buys several video games that cost $35 each. After the purchases, his gift card ba

lance is $45. Write an equation to help find out how many video games Billy bought
Mathematics
1 answer:
erik [133]3 years ago
4 0
150dividedby35minis45
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You mix 1/2 cup of red paint for every 1/4 cup of blue paint to make 12 cups of
Serhud [2]
4 cups of blue paint and 8 cups of red paint

explanation

to pour one cup of blue paint, two cups of red paint has to be poured.
since when you add both those it adds to 3
so multiply each by 4 to get 4 cups of blue paint and 8 cups of red paint
3 0
3 years ago
Right 1/6 as a decimal​
Simora [160]

Answer:

0.166667

Step-by-step explanation:

1/6 = 0.166667

3 0
3 years ago
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In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you randomly choose 15 students in th
Gnom [1K]

Answer:

23.72% probability that 3 of them have hardcover texts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

If you randomly choose 15 students in this class, find the probability that 3 of them have hardcover texts.

Desired outcomes:

3 with hardcover texts, from a set of 25.

15-3 = 12 with paperback texts, from a set of 75. So

D = C_{25,3}*C_{75,12} = \frac{25!}{3!(22)!}*\frac{75!}{12!(63)!} = 6 \times 10^{16}

Total outcomes:

15 students from a set of 100. So

T = C_{100,15} = \frac{100!}{15!85!} = 2.53 \times 10^{17}

Probability:

P = \frac{D}{T} = \frac{6 \times 10^{16}}{2.53 \times 10^{17}} = 0.2372

23.72% probability that 3 of them have hardcover texts.

7 0
3 years ago
Match the following items by evaluating the expression for x = -2.
solong [7]

Answer:

see below

Step-by-step explanation:

x^-2 = 1/x^2  Let x = -2      1/ (-2)^2 = 1/4

x^-1 = 1/x^1  Let x = -2      1/ (-2)^1 = 1/(-2) = -1/2

x^0 = 1  

x^1 = x  Let x = -2      (-2)

x^2 =   Let x = -2      (-2)^2 = 4

4 0
3 years ago
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If f(x)= x-1,which of following is the inverse of f(x)?
Lyrx [107]
F^-1(x)= 1+x.

Helped!
7 0
3 years ago
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