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olga55 [171]
3 years ago
14

1. Molina is sewing a border of ribbon onto her rectangular picnic blanket. The long side of the blanket is 7 feet and the short

side is 4 feet. How many feet of ribbon will she need?
Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

She will need 22 feet of ribbon

Step-by-step explanation:

The length of the border of ribbon is equal to the perimeter of the rectangular picnic blanket

The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width

∵ The long side of the blanket is 7 feet

∴ l = 7

∵ The short side of it is 4 feet

∴ w = 4

Use the formula of the perimeter above to find the perimeter of the blanket

∵ P = 2(l + w)

∴ P = 2(7 + 4)

- Add the numbers in the bracket

∴ P = 2(11)

∴ P = 22 feet

∵ The length of the border of ribbon is equal to the perimeter

    of the blanket

∴ The length of the ribbon is 22 feet

∴ She will need 22 feet of ribbon

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Answer:

a. Females are more likely to enroll in Online Only courses than males.

Step-by-step explanation:

Given

The collected data

Required

Which of the options is true

(a): Female more likely in online only courses

In online courses, we have:

Female = 7000

Male = 2000

By comparison:

7000 > 2000

Hence, this statement is true

<em>Other options are false</em>

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3 years ago
What are the partial products of 396 divided by 12?
Alisiya [41]
396  divided by 12 will be 33

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Consider the sequence following a minus 8 pattern: 9, 1, −7, −15, ….
photoshop1234 [79]

Answer: -287

Step-by-step explanation:

The given pattern: 9, 1, -7, -15, ….

We observe that ,

First term : a=9

Common difference between the terms= 1-9=-8

For Arithmetic sequence , the formula to find the nth term is given by :-

a_n=a+(n-1)d

Then, 38th term will be :-

a_{38}=9+(-8)(38-1)\\\\=9-8(37)=9-296=-287

Hence, the 38th term of the sequence.= -287

3 0
3 years ago
A painter is paid a standard hourly rate and makes $41.25 for five hours of painting. How much is the painter paid for eight hou
Y_Kistochka [10]
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7 0
3 years ago
Cullumber company had $170,000 of net income in 2021 when the selling price per unit was $152, the variable costs per unit were
taurus [48]

The number of units sold in 2021 = <u>13,300 units</u>.

The number of units that would have to be sold in 2022 to reach the stockholder's desired profit level = <u>15,200 units</u>.

Assuming that Cullumber company sells the same number of units in 2022 as it did in 2021, the selling price in order to reach the stockholder's desired profit level = <u>$160</u>.

The net income of a company is its profit function, derived by the formula:

Profit = Sales - Cost.

Sales are the product of the number of units sold and per unit selling price.

Cost is the sum of fixed costs and the product of the number of units produced to the variable cost per unit.

Assuming the number of units sold in 2021 to be x,

we can say sales = $152x, and

cost = ${574800 + 96x}.

Therefore, profit = sales - cost,

or, 170000 = 152x - {574800 + 96x},

or, 170000 = 56x - 574800

or, 56x = 574800 + 170000 = 744800,

or, x = 744800/56 = 13300.

Therefore, the number of units sold in 2021 was <u>13,300</u>.

In 2022, the desired profit = $170,000 + $106,400 = $276,400.

Assuming the number of units sold in 2022 to be n, at the same unit data and fixed cost, we can say that:

Sales = $152n, and

Cost = ${574800 + 96n}.

Therefore, profit  sales - cost,

or, 276400 = 152n - {574800 + 96n},

or, 276400 = 56n - 574800,

or, 56n = 574800 + 276400 = 851200,

or, n = 851200/56 = 15200.

Therefore, the number of units sold in 2022 should be <u>15,200</u> to reach the desired profit of the stakeholders.

When the number of units sold in 2022 is the same as in 2021, that is, the number of units = 13,300, we assume the per unit selling price to be $P.

Now we can say that,

Sales = $13300P.

Costs = ${574800 + 96*13300} = ${574800 + 1276800} = $1851600.

Therefore, profit = sales - cost,

or, 276400 = 13300P - 1851600,

or, 13300P = 1851600 + 276400 = 2128000,

or, P = 2128000/13300 = 160.

Therefore, the new selling price per unit to reach stockholders' desired profit, assuming the number of units sold in 2022 to be the same as in 2021 is <u>$160</u>.

Refer to the attachment for the required questions.

Learn more about selling price, cost price, and profits at

brainly.com/question/19104371

#SPJ4

5 0
2 years ago
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