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Angelina_Jolie [31]
2 years ago
7

Eli needs pieces of ribbon cut into strips that are 2 1\2 feet long. The roll of ribbon is 7 1\2 feet long. Which expression cou

ld be one of the steps in determining how many strips can be cut? Please help me im horrorible at math and i need help ASAP.
Mathematics
2 answers:
julsineya [31]2 years ago
6 0

Answer: There are 3 strips that can be cut from the roll of ribbon.

Step-by-step explanation:

since we have given that

Length of a ribbon is given by

7\frac{1}{2}\ ft\\\\=\frac{15}{2}\ ft

Length of pieces of ribbon cut into strips is given by

2\frac{1}{2}\ ft\\\\=\frac{5}{2}\ ft

So, we need to find the number of strips that can be cut is given by

\text{ Number of strips }=\frac{\text{Length of roll}}{\text{ Length of strip}}\\\\=\frac{\frac{15}{2}}{\frac{5}{2}}\\\\=\frac{15\times 2}{2\times 5}\\\\=\frac{15}{5}\\\\=3

Hence, there are 3 strips that can be cut from the roll of ribbon.

alexandr1967 [171]2 years ago
5 0

Answer:

the answer is three

Step-by-step explanation:

7 1/2 divided by 2 1/2

15/2 x 2/5

the 2's cancel each other

15/5

3

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5 0
2 years ago
Which represents the solution set of 5 (x + 5) less-than 85
lapo4ka [179]

Answer:

x < 12

Step-by-step explanation:

Step 1: Write out expression

5(x + 5) < 85

Step 2: Solve

5x + 25 < 85

5x < 60

x < 12

5 0
2 years ago
A cube shaped packing box like the one shown below is used to pack a stack of Dinner Plates. if the volume of the box is 1,000 c
fgiga [73]
The correct answer is Choice B: 31.4.

If the volume of the cube is 1000, that means that the width of the box would be 10. That would also be the diameter of the largest plate that fits in the box.

Using 10 as the diameter, we can find the circumference, by multiplying it by pi.

C = pi x diameter
C = 3.14 x 10
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4 0
2 years ago
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses
sweet [91]

Answer:

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

Step-by-step explanation:

Let x represent the number of 30-day periods.

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.

Therefore the equation =

$165 -$4 × x

= 165 - 4x.......... Equation 1

He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.

$145 -$3.50 × x

= 145 - 3.50x........... Equation 2

Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together

So, we have

Equation 1 = Equation 2

165 - 4x = 145 - 3.50x

We simplify further:

165 - 145 = -3.50 + 4.0x

20 = 0.5x

x = 20/0.5

x = 40

Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40

3 0
2 years ago
After the 2008 elections, it is desired to estimate the proportion of Florida voters who now regret that they did not vote.
Sonja [21]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681  

And rounded we got 1681

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p represent the real population proportion of interest

\hat p represent the estimated proportion for the sample

n is the sample size required (variable of interest)

z represent the critical value for the margin of error

Solution to the problem

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.10 and \alpha/2 =0.05. And the critical value would be given by:  

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)

We can assume that the estimates proportion is 0.5 since we don't have other info provided to assume a different value. And replacing into equation (b) the values from part a we got:  

n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681  

And rounded we got 1681

8 0
2 years ago
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