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3 years ago

1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Answer:

The two numbers are 52 and 12.

Step-by-step explanation:

x+y=64

x=16+3y

Now, substitute the second equation into the first one.

16+3y+y=64

16+4y=64

4y=48

y=12

Substitute 12 into one of the equations in order to find x.

x=16+3(12)

x=16+36

x=52

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1625/2 or 812 1/2

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3 years ago

Roy is 11 years old and his uncle is 59 years old.how many years ago was roy ,s uncle 7 times as old as roy.

adoni [48]

59-x=7(11-x)=59 yrs

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-x+7x-77-59

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x=18^6=3

so 3 years ago uncle's age is 7 times of Roy's age.

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3 years ago

. Sara collected $135 in donations for the hospital. This represents 5% of the total amount collected by her class. How much did

AfilCa [17]

5 percent of 2700 is 135 so the answer is $2700

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3 years ago

Read 2 more answers

Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks

aniked [119]

Answer:

A. Mean of the amount Sally spends on breakfast daily = $ 3.90

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

B. Mean of the amount Sally spends on breakfast weekly = $ 27.30

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0

4 years ago

1) Nat's grocery bill was $150, which included a 5% club

a_sh-v [17]

Answer:

$157.89

Step-by-step explanation:

you could say that 150 is 95% of what the original bill was

in equation form: 150 = .95x

150/.95 = 158.89

158.89 = x

3 0

2 years ago

Read 2 more answers