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iris [78.8K]
2 years ago
7

if kevin took 1/10 of an hour to use 1/2 of package of napkins. how many hours would it take to use 2 packages?

Mathematics
1 answer:
sladkih [1.3K]2 years ago
6 0

Answer:

2/5 hours

Step-by-step explanation:

We can write a proportion to solve

1/10 hour          x hours

----------------   = -------------------

1/2 package        2 packages

Using cross products

1/10 * 2 = 1/2 x

1/5 = 1/2x

Multiply each side by 2

1/5 * 2 = 1/2x *2

2/5  =x

2/5 hours

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Santo paid $16.25 to buy 5 children tickets and 1 adult ticket. Hulda paid $24.00 to buy 4 children tickets and 3 adult tickets.
jenyasd209 [6]

Answer:

The price of an adult ticket it $5

Step-by-step explanation:

To solve this, we would find the system of equations. We would set up two equations that will represent the situation.

Let c = price per children ticket

Let a = price per adult ticket

Santo:

5c + 1a = 16.25

Hulda:

4c + 3a = 24

5c + 1a = 16.25 -> a = 16.25 - 5c

4c + 3a = 24

4c + 3(16.25 - 5c) = 24

4c + 48.75 - 15c = 24

-11c + 48.75 = 24

       -48.75   -48.75

-11c = -24.75

/-11       /-11

c = 2.25

5c + a = 16.25

5(2.25) + a = 16.25

11.25 + a = 16.25

-11.25        -11.25

a = 5

a = $5 , c = $2.25

5 0
3 years ago
Read 2 more answers
When is a protractor preferred to a ruler when finding a measurement
Keith_Richards [23]
When measuring an angle.
7 0
3 years ago
In 2013, a study found that U.S. consumers consumed soft drinks with a mean of 42.2 gallons per year and variance of 169. Ninety
melisa1 [442]

Answer:

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

The standard deviation is the square root of the variance, so \sigma = \sqrt{169} = 13

Also, the mean is 42.2, so \mu = 42.2

Ninety-five percent of consumers in the U.S. consumed less than how many gallons?

The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when Z = 1.645

Z = \frac{X - \mu}{\sigma}

1.645 = \frac{X - 42.2}{13}

X - 42.2 = 13*1.645

X = 63.59

Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.

4 0
3 years ago
A Pack Of 12 8-Ounce Bottles Of Water Costs $3.36.What Is The Unit Cost Per Ounce Of Bottled Water?
Andrei [34K]
We have 12 8-ounce bottles, so altogether we have 12 * 8 = 96 ounces of bottled water. If it all costs $3.36, than one ounce of bottled water costs $3.36 / 96 = $0,035.
5 0
3 years ago
What is the slope of the line that passes through the points (−10,8) and (-15, -7)? Write your answer in simplest form.
Anettt [7]

Answer:

-5/-14

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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