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ycow [4]
3 years ago
10

A small box of cereal contains 10 cups of cereal. A medium box of the same cereal contains 30% more cereal than the small box. H

ow many cups of cereal does the medium box contain?
-------Cups
Mathematics
1 answer:
mario62 [17]3 years ago
6 0

Answer:

13 cups

Step-by-step explanation:

If the small box has 10 cups, then:

<u> (small) </u>     <u> 10 cups </u>   =  <u> 100% </u>

(medium)    x cups     =   130%

Now, cross multiply:

10 (130) = x (100)

1300 = 100x

x = 13

Another way to solve this is by turning 30% into a decimal:

30/100 = 0.3

10 (0.3) = 3

Now you have 30% of the 10 cups, but you need <u>30% more</u><em> </em>than the small box, so:

10 + 3 = 13 cups

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What is 138 rounded to the nearest hundredth
serg [7]

Answer:

hundred and hundredth are way different 11.75 I think it would be tho

Step-by-step explanation:

4 0
3 years ago
What is the quotient to four dived by fifty
allsm [11]
0.08 if 4 divided by 50
12.5 if 50 divided by 4
8 0
3 years ago
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Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounce
Gwar [14]

Answer:” use

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal

Let x be the fluid ounces of milk does Monica use.

As per the statement:

Monica uses 3 tablespoons of milk in her custard recipe.

It is also given that:

The ratio of tablespoons to fluid ounces is 2 : 1.

by proportion definition we have;

by cross multiply we have;

3 = 2x

Divide both sides by 2 we have;

therefore, fluid ounces of milk does Monica use.”

Step-by-step explanation:

9 0
2 years ago
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A 2 pound box of salt sells for $.89 and a 5 pound box sells for 2.09. What is the linear equation for this?
castortr0y [4]
Y = ax + b;

0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;

y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
4 0
3 years ago
The average cost of tuition plus room and board at small private liberal arts colleges is reported to be less than $18,500 per t
lys-0071 [83]

Answer:

The null and alternative hypothesis for this study are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The null hypothesis is rejected (P-value=0.004).

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

Then, the null and alternative hypothesis are:

H_0: \mu=18500\\\\H_a:\mu< 18500

The significance level is 0.05.

The sample has a size n=150.

The sample mean is M=18200.

The standard deviation of the population is known and has a value of σ=1400.

We can calculate the standard error as:

\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1400}{\sqrt{150}}=114.31

Then, we can calculate the z-statistic as:

z=\dfrac{M-\mu}{\sigma_M}=\dfrac{18200-18500}{114.31}=\dfrac{-300}{114.31}=-2.624

This test is a left-tailed test, so the P-value for this test is calculated as:

P-value=P(z

As the P-value (0.004) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average cost of tuition plus room and board at small private liberal arts colleges is  less than $18,500 per term.

3 0
3 years ago
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