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KonstantinChe [14]
3 years ago
12

Replace ? with a whole number to make the statements true. a. 20 ÷ 4 ? means ? × 4 = 20 b. 2,725 ÷ 5 ? means ? × 5 = 2,725 c. ?

÷ 5 = 0 ABC Preschool spent $1,475 on diapers this year. If the diapers cost $25 per box, how many boxes did they use? Grace, a hairdresser, charges $18 for a haircut and $70 for a perm. She did 36 perms this month. The total amount of money Grace took in was $4,608. How many haircuts did Grace do this month? Mr. and Mrs. Wilson hosted their daughter’s wedding. They paid $575 to rent a banquet hall and $13 per person for a catered dinner. In all, there were 118 people at the wedding. How much did the Wilsons pay for the hall and the food? Use inverse operations to check your answer. Carmel can drive 320 miles on one tank of gas, and one tankful costs $39. How many tanks of gas will she need to drive 2,240 miles, and how much will it cost? Use inverse operations to check your answer.
Mathematics
1 answer:
Kipish [7]3 years ago
4 0
20/4 means 5 * 4 = 20
2725/5 means 545*5 = 2725
0/5 = 0
==============
25x = 1475
x = 1475/25
x = 59 <== 59 boxes of diapers were bought
==============
18h + 70(36) = 4608
18h + 2520 = 4608
18h = 4608 - 2520
18h = 2088
h = 2088/18
h = 116....she did 116 haircuts
=================
575 + 13(118) = total cost         Inverse operations to check...
575 + 1534 = total cost             2109 - 1534 = 575
2109 = total cost                        575 = 575 (correct)
=================
320/39 = 2240/x....320 miles to $ 39 = 2240 miles to $ x
cross multiply
(320)(x) = (39)(2240)
320x = 87360
87360/320 = x
273 = x....it would cost $ 273

inverse operations to check....320 * 273 = 87360
                                                 87360 = 87360 (correct)
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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:

<u>A. Mean of the amount Sally spends on breakfast daily = $ 3.90</u>

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

<u>B. Mean of the amount Sally spends on breakfast weekly = $ 27.30</u>

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

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)

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4 years ago
Which expression is equivalent to 647 times 39.
Maru [420]

Answer:

he answer would be A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

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