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3 years ago

How to convert 120 barrels to quarts

Mathematics

1 answer:

umka21 [38]3 years ago

4 0

The conversion factors are 42 gallons in a barrel

4 quarts = 1 gallon. I use unit analysis to get answers for questions like these.

$\dfrac{120barrels}{1} * \dfrac{42 gallons}{1 barrel} * \dfrac{4 quarts}{1 gallon}$

All the units are in the numerator. There are 120 * 42* 4 = 20160 quarts in 120 barrels.

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Karen runs a print shop that makes posters for large companies. It is a very competitive business. The market price is currently

kumpel [21]

AFC = FC / Quantity printed

So given she prints 1,000 posters: AFC = 250.00/1000 = $0.25 
Given she prints 2,000 posters: AFC = 250.00/2000 = $0.125 
Given she prints 10,000 posters: AFC = 250.00/2000 = $0.025 

ATC = TC / Quantity printed 

where TC = FC + Variable C * Quantity printed 

If she prints 1000: TC = 250 + 2000*1000 = 2,000,250 
ATC = 2,000,250/1000 = 2000.25 

If she prints 2000: TC = 250 + 1600*2000 = 3,200,250 
ATC = 3,200,250/2000 = 1600.125 

If she prints 10000: TC = 250 + 1600*2000 + 1000*8000 ($1000 for each additional poster after 2000) = 11,200,250 
ATC = 11,200,250/10000 = 1120.025

7 0

2 years ago

In the Cartesian Coordinate System, the intersection of the axis is called the origin. What is this called in the Polar coordina

Nookie1986 [14]

it's plural so axes*

and in pilar coordinates, the axes are circular so they never intersect but the centre point is still called origin.

4 0

3 years ago

Students make 93.5 ounces of liquid soap for a craft fair. They put the soap in 5.5-ounce bottles and sell each bottle for $4.

s2008m [1.1K]

Answer:

$76.5

Step-by-step explanation:

93.5÷5.5=17

17×4.50=76.5

Therefore the answer is 76.5.

8 0

3 years ago

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0

2 years ago

Find the value of x. The answer is 53, but I need to show my work. THANK YOU!!!

fiasKO [112]

Answer:

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

3 0

3 years ago

Read 2 more answers