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alexandr1967 [171]
3 years ago
14

Roseanne is making chocolate chip cookies for dessert the recipe for one batch of chocolate chip cookies calls for 2 1/2 cups of

sugar how many cups of sugar will Roseanne need to make 3 1/2 batches of cookies
Mathematics
1 answer:
umka21 [38]3 years ago
4 0

Answer:

8 3/4 cups of sugar

Step-by-step explanation:

1 batch of chocolate chip cookies ↔ 2 1/2 cups of sugar

3 1/2 batch of chocolate chip cookies ↔ 3 1/2 * 2 1/2 cups of sugar

3 1/2 * 2 1/2 = 7/2 * 5/2 = 35/4 = 8 3/4 = 8.75

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Find two consecutive positive even integers such that the square of the first decreased by 64 equals 3 times the second.
IRINA_888 [86]

Answer:

10 and 12

Step-by-step explanation:

let the consecutive even integers be n and n + 2 , then

n² - 64 = 3(n + 2) ← distribute parenthesis

n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )

n² - 3n - 70 = 0 ← in standard form

(n - 10)(n + 7) = 0 ← in factored form

Equate each factor to zero and solve for n

n - 10 = 0 ⇒ n = 10

n + 7 = 0 ⇒ n = - 7

Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12

The 2 numbers are 10 and 12

8 0
3 years ago
The circumference of a globe is 16pi inches. what is the volume of the globe? show your work. use 3.14 for pi ​
docker41 [41]

Answer:

v=2144.66

Step-by-step explanation:

formula: 4/2 (pi) (r)³

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3 0
2 years ago
Read 2 more answers
Given h(x) = 3x + 4, find h(-1).
larisa86 [58]
Plug in -1 for x
h(-1) = 3(-1) + 4
h(-1) = -3 + 4
Solution: h(-1) = 1
6 0
3 years ago
According to the National Institute of Allergy and Infectious Diseases, approximately 7% of U.S. children 4 years of age or youn
Yuliya22 [10]

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that p = 0.07

A day care program has capacity for 8 children in that age range.

This means that n = 8

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337

0.337 = 33.7% probability that one of the eight children has a food allergy.

6 0
3 years ago
30 POINTS!!!!!Which of the following expressions has a value that is less than - 1/2 ? Select all that apply.
gulaghasi [49]

Answer:

Step-by-step explanation: uhm idk soooooooooooo

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3 years ago
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