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umka2103 [35]
2 years ago
10

Convert the following units. a. 108 eggs to dozens b. 35.79 dollars to cents c. 64 identical shoes to pairs d. 19,045 cents to d

ollars e. 19 dozen cookies to individual cookies f. 7 gross of identical gloves to pairs
Mathematics
2 answers:
kirill115 [55]2 years ago
8 0
A. 9 dozens
b. 3,579 cents
c. 32 pairs
d. $190.45
e. 288 cookies


Bumek [7]2 years ago
5 0

Answer:

a) 9 dozens; b) 3579 cents; c) 32 pairs; d) 190.45 dollars; e) 228 cookies; f) 504 pairs

Step-by-step explanation:

a) There are 12 of any item in a dozen.  To find the number of dozens in 108 eggs, divide by 12:

108/12 = 9

b) There are 100 cents in every dollar.  To convert the number of dollars to cents, multiply by 100:

35.79(100) = 3579

c) There are 2 shoes in a pair.  To convert individual shoes to pairs, divide by 2:

64/2 = 32

d) To convert cents to dollars, divide by 100:

19045/100 = 190.45

e) To convert dozens to individual cookies, multiply by 12:

19(12) = 228

f) A gross is a dozen dozen.  This means it is 12(12) = 144.  This makes 7 gross 7(144) = 1008.  To convert this to pairs, divide by 2:

1008/2 = 504

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In a large population, 61 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that
muminat
In a large population, 61% of the people are vaccinated, meaning there are 39% who are not. The problem asks for the probability that out of the 4 randomly selected people, at least one of them has been vaccinated. Therefore, we need to add all the possibilities that there could be one, two, three or four randomly selected persons who were vaccinated.

For only one person, we use P(1), same reasoning should hold for other subscripts.

P(1) = (61/100)(39/100)(39/100)(39/100) = 0.03618459
P(2) = (61/100)(61/100)(39/100)(39/100) = 0.05659641
P(3) = (61/100)(61/100)(61/100)(39/100) = 0.08852259
P(4) = (61/100)(61/100)(61/100)(61/100) = 0.13845841

Adding these probabilities, we have 0.319761. Therefore the probability of at least one person has been vaccinated out of 4 persons randomly selected is 0.32 or 32%, rounded off to the nearest hundredths.
8 0
1 year ago
a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma
ruslelena [56]

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

\frac{126}{100} = \frac{x}{45}

By cross multiply we have;

100x = 126 \times 45

Divide both sides by 100 we get;

x = \frac{126 \times 45}{100}

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day




5 0
2 years ago
How many ounces of pure nickel must be added to 150 ounces of alloy 70% pure to make an alloy which is 85% pure?
galben [10]

Answer:

150 oz.

Step-by-step explanation:

There are already 150 ounces of alloy of nickel.

Of this 150 oz, 70% is pure i.e. nickel content = 150(0.7) = 105 oz

Now available is

Nickel       Other metals

105                  45

Let x oz of pure nickel is added.

Then new alloy will have 105+x oz nickel in total of 150+x oz.

Percentage pure = \frac{105+x}{150+x} =85%

Simplify to get

\frac{105+x}{150+x} =\frac{85}{100} \\\\Cross multiply:\\85(150+x) =100(105+x)\\12750+85x =10500+100x\\100x-85x = 12750-10500\\15x = 2250\\x = 150

Hence answer is 150 oz should be added.

6 0
1 year ago
After dinner 3/4 of a pie remains. if tasha eats 1/6 of the remaining pie
astraxan [27]

Answer: 1/8

Step-by-step explanation: 3/4 x 1/6 = 24/3 (simplify to 1/8)

4 0
2 years ago
Given pre-image ABCDE. Which of the transformations resulted in image Point A'?
mihalych1998 [28]
<span>A(x, y) → (x - 3, y + 1)</span>
8 0
1 year ago
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