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3 years ago

Trying to figure out 2 different equivalent fractions for the following fractions if something is divided into 8 sections

Mathematics

2 answers:

sasho [114]3 years ago

4 0

This is the right answer

irina [24]3 years ago

3 0

2/4 is equivalent to 1/16 and 1/128 if dived by 8 sections
8/8 is equivalent to 1/8 and 1/64 if dived by 8 sections
1/2 is equivalent to 1/16 and 1/128 if dived by 8 sections
3/4 is equivalent to 3/32 and 3/256 if dived by 8 sections
2/3 is equivalent to 1/12 and 1/98 if dived by 8 sections

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You are running a concession stand at a basketball game. You are selling hotdogs and sodas. Each hotdog cost $1.50 and each soda

Lubov Fominskaja [6]

Answer:

35 hotdogs

Step-by-step explanation:

You are running a concession stand at a basketball game. You are selling hotdogs and sodas.

Let the number of hot dogs be represented by x

The number of soda be represented by y

You sold a total of 87 hotdogs and sodas combined

x + y = 87

x = 87 - y

Each hotdog cost $1.50 and each soda cost $0.50. At the end of the night you made a total of $78.50.

Hence we have the equation:

$1.50 × x + $0.50 × y = $78.50

1.50x + 0.50y = 78.50

Substitute 87 - y for x

1.50(87 - y) + 0.50y = 78.50

130.5 - 1.50y + 0.50y = 78.50

Collect like terms

- 1.50y + 0.50y = 78.50 - 130.50

-1.00y = -52

y = -52/-1

y = 52 sodas

How many hotdogs did you sell?

Using the equation:

x = 87 - y

x = 87 - 52

x = 35 hotdogs

Hence, you sold 35 hotdogs

6 0

3 years ago

Y is equal to the additive inverse of 4x. Use this information to find the value of the expression 17x + 3y in terms of x.

nevsk [136]

Answer:

Step-by-step explanation:

The additive inverse of a function is that value added that will sum it up to zero

If y is the additive inverse of 4x, then y = -4x

Given the expression 17x+3y

Substitute y = -4x into the expression to have;

17x + 3(-4x)

17x -12x

Hence the value of the expression in terms of x is 5x

5 0

3 years ago

Robin earned $4,320 in 9 weeks. How much did he earn working for a full year? (Assume Robin worked 50 weeks during the year.)

faust18 [17]

24000
4320÷9=480
480x50 = 24000

8 0

3 years ago

Read 2 more answers

A sphere has a volume of 4,500. What is its surface area?

lara [203]

Answer:

2827.433

Step-by-step explanation:

First start with the volume of a sphere and use the given volume to solve for the radius r.

So the radius of this sphere is 15 inches.

Now we use this radius to find the surface area

And then you get 2827.433

5 0

3 years ago

a math teacher claims that she has developed a review course that increases the score of students on the math portion of a colle

madam [21]

Answer:

$H_0: \mu\leq514\\\\H_1: \mu>514$

B. Z=2.255. P=0.01207.

C. Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. P(z>0.94)=0.1736

Step-by-step explanation:

<em>A. state the null and alternative hypotheses.</em>

The null hypothesis states that the review course has no effect, so the scores are still the same. The alternative hypothesis states that the review course increase the score.

$H_0: \mu\leq514\\\\H_1: \mu>514$

B. test the hypothesis at the a=.10 level of confidence. is a mean math score of 520 significantly higher than 514? find the test statistic, find P-value. is the sample statistic significantly higher?

The test statistic Z can be calculated as

$Z=\frac{M-\mu}{s/\sqrt{N}} =\frac{520-514}{119/\sqrt{2000}}=\frac{6}{2.661}=2.255$

The P-value of z=2.255 is P=0.01207.

The P-value is smaller than the significance level, so the effect is significant. The null hypothesis is rejected.

Then we can conclude that the score of 520 is significantly higher than 514, in this case, specially because the big sample size.

C. do you think that a mean math score of 520 vs 514 will affect the decision of a school admissions adminstrator? in other words does the increase in the score have any practical significance?

Although it is not big difference, it is an improvement that has evidence. The scores are expected to be higher in average than without the review course.

D. test the hypothesis at the a=.10 level of confidence with n=350 students. assume that the sample mean is still 520 and the sample standard deviation is still 119. is a sample mean of 520 significantly more than 514? find test statistic, find p value, is the sample mean statisically significantly higher? what do you conclude about the impact of large samples on the p-value?

In this case, the z-value is

$Z=\frac{520-514}{s/\sqrt{n}} =\frac{6}{119/\sqrt{350}} =\frac{6}{6.36} =0.94\\\\P(z>0.94)=0.1736>\alpha$

In this case, the P-value is greater than the significance level, so there is no evidence that the review course is increasing the scores.

The sample size gives robustness to the results of the sample. A large sample is more representative of the population than a smaller sample. A little difference, as 520 from 514, but in a big sample leads to a more strong evidence of a change in the mean score.

Large samples give more extreme values of z, so P-values that are smaller and therefore tend to be smaller than the significance level.

8 0

3 years ago