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kipiarov [429]
3 years ago
6

Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the

recipe, how many gallons of lemonade will Amy and her sister have?
A) 17.5 gallons
B) 35 gallons
C) 70.5 gallons
D) 140 gallons
Mathematics
2 answers:
Lelu [443]3 years ago
7 0
The answer is A. If you multiply 2 quarts by 35, you get 70 quarts. A gallon is equal to 4 quarts, so divide 70 by 4. You get 17.5.
lord [1]3 years ago
6 0

Answer:

A

Step-by-step explanation:

If they are making 35 times more than the original recipe you have to multiply 2 by 35

2 x 35= 70

Then, you have to convert 70 quarts to gallons

4 quarts= 1 gallon

70/4= 17.5 gallons


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(Q2) Which of the following points lies on the graph of the function y = 4x ?
stepladder [879]

Answer:

C

Step-by-step explanation:

I think I will answer the question the your attachment because it has full information.

The function is: y = 3*2^{x}

a. The function decreases

Wrong, because the base number is 2 and it is greater than 0. The function will go up

b. y=intercept of  (0.2)

Wrong, Let substitute x =2 into the function: y = 3*2^{2} = 12  

c. if x increase by 1, the value of y will double

Because the base number is 2. For example:

  • If x = 2, y = 3*2^{2}  = 12
  • If x =3, y =3*2^{3} =(3*2^{2}*)2  = 24

d. contains the point (2,4)

Wrong, Let substitute x =4 into the function: y = 3*2^{4} = 48

So we choose C

5 0
3 years ago
If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).
erica [24]

Answer:

  C.  (f – g)(x) = –2x – 2

Step-by-step explanation:

(f – g)(x) = f(x) – g(x)

  = (–5x – 4) – (–3x – 2)

  = –2x – 2

3 0
3 years ago
A Square was altered so that one side is increased by 9 inches in the other side is decreased by 2 inches.The area of the result
LekaFEV [45]

Let s represent the length of any one side of the original square.  The longer side of the resulting rectangle is s + 9 and the shorter side s - 2.

The area of this rectangle is (s+9)(s-2) = 60 in^2.

This is a quadratic equation and can be solved using various methods.  Let's rewrite this equation in standard form:  s^2 + 7s - 18 = 60, or:

s^2 + 7s - 78 = 0.  This factors as follows:  (s+13)(s-6)=0, so that s = -13 and s= 6.  Discard s = -13, since the side length cannot be negative.  Then s = 6, and the area of the original square was 36 in^2.

4 0
3 years ago
Nayeli buys some packs of rubber bracelets. There are 8 bracelets in each pack
IceJOKER [234]

Answer:

Hey! Ok so the answer is 6.

Step-by-step explanation:

If 1 pack has 8 bracelets in each and she has 48 in total then you would have to divide the total to the number of bracelets in each pack so therefore 48 divided by 8 which is 6

Hoped this helped! Have an amazing day! Im Eve btw. also consider marking this brainliest thank you so much if you do!✨

6 0
2 years ago
Assume that when Human Resource managers are randomly selected, 62% say job applicants should follow up within two weeks. If 25
Alenkinab [10]

Using the binomial distribution, it is found that there is a 38% probability that exactly 18 of them say job applicants should follow up within two weeks.

<h3>How to find that a given condition can be modelled by binomial distribution?</h3>

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

Binomial probability distribution  

P(X =x) = \: ^nC_xp^x(1-p)^{n-x}

The parameters are:

n is the number of trials.

x is the number of successes.

p is the probability of success on a single trial.

In this problem:

62% say job applicants should follow up within two weeks, p = 0.62

25 managers are selected, n = 25

The probability that exactly 18 of them say job applicants should follow up within two weeks is P ( X = 18)

P( X > 18) = 1 -  ( X = 18)

= 1 - 0.62

= 0.38

38 % probability that exactly 18 of them say job applicants should follow up within two weeks.

Learn more about binomial distribution here:

brainly.com/question/13609688

#SPJ1

8 0
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