Carl has three lengths of cable, 3/6 yard long, 1/4 yard long, and 1/3 yard long, which two pieces together make a length of 20/24 yard?

Answers

Answer 1

Answer: First you should Simplify
$(20)/(24) = (5)/(6)$
$(3)/(6) + (1)/(3) = (5)/(6)$

Solution
1. Find the LCM between 6 and 3 which is 8
2. Times 3 and 6 to both sides of the equation respectively.
$(3 * 3)/(18) + (6 * 1)/(18)$
$(9 + 6)/(18) = (15)/(18)$
3. Simplify the answer by dividing by 3.

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Packer Concrete Company pours concrete slabs for single-family dwellings. Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab. Packer estimates the cost of a typical job to include unit-level materials, $1,200; unit-level labor, $600; and an allocated portion of facility-level overhead, $1,000.Required:
a. Calculate the contribution to profit from the special order.

Answers

Answer:

The contribution to profit from the special order us $38,000.

Step-by-step explanation:

Consider the provided information.

We need to calculate the contribution on to profit from the special order.

Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab.

Sale = 40 × $2,750 = $110,000

To find the profit subtract the materials and labor cost from sale amount.

Particulars Amount

Sale (40 × $2,750) $110,000

Less: Variable expense

Unit level materials (40× $1,200) $48,000

Unit level labor(40× $600) $24,000

Contribution margin $38,000

The overhead cost will not be considered while determine the contribution to profit from accepting the order of 40 slab.

Hence, the contribution to profit from the special order us $38,000.

Which of the following is a polyhedron? Check all that apply.A. Prism
B. Pyramid
C. Cone
D. Polygon

Answers

A polyhedron is three dimensional solid that only has flat faces. It contains vertices and straight edges. From the choices, the solids that would be considered as polyhedron are prism and pyramid. A cone cannot be considered as such since it containsa round surface. A polygon is a two dimensional shape thus it does not satisfy the condition of a polyhedron.

The Prism and Pyramid is a typical example of polyhedron. That is optionA and B.

The polyhedron

A polyhedron is any solid that has a three dimensional shape with all its sides flat. It is made up of different polygons that join together.

These polyhedron are made up of three parts:

The face: They are the flat surfaces

The edge: The region where two flat surfaces meet

The vertex: The point of intersection of the edges of the polyhedron.

Examples of polyhedron are the Prism and Pyramid. The prisms have flat faces and is made up of rectangles while the pyramids is made up of triangles and different polygons.

Therefore, the Prism and Pyramid is a typical example of polyhedron.

Learn more about polyhedron here:

brainly.com/question/24324783

While on vacation, Rosa stopped at a souvenir shop to buykeychains and refrigerator magnets for family members and
friends. Keychains cost $2 each, and refrigerator magnets cost $1
each. Let x represent the number of keychains that Rosa bought,
and let y represent the number of refrigerator magnets.
Rosa bought 12 items and paid $18 more for the keychains than
for the refrigerator magnets.

Answers

9514 1404 393

Answer:

10 keychains
2 magnets

Step-by-step explanation:

We assume you want to know how many of each item Rosa bought.

The problem information lets us write two equations:

x + y = 12

2x - y = 18

Adding the two equations, we get ...

3x = 30

x = 10 . . . . . divide by 3

y = 12 -x = 2 . . . find y

Rosa bought 10 keychains and 2 magnets.

Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?

Answers

We have been given that Paige can ride one half of a mile in 1/30 th of an hour. And we have to found the distance traveled in 1 hour if she continues to ride at the same pace.

Let d be the distance traveled in 1 hour.

In 1/30 th of an hour distance traveled is 0.5 mile

Hence, in 1 hour the distance traveled is given by

$d=(0.3)/(1/30) \n\nd=0.5* 30\n\nd=15$

Therefore, she will travel 15 miles.

She could travel 15 miles in an hour

It is important that face masks used by firefighters be able to withstand high temperatures because firefighters commonly work in temperatures of 200-500 degrees. In a test of one type of mask, 24 of 55 were found to have their lenses pop out at 325 degrees. Construct and interpret a 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees.

Answers

Answer:

The 93% confidence interval for the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574). This means that we are 93% sure that the true proportion of masks of this type whose lenses would pop out at 325 degrees is (0.3154, 0.5574).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{(\pi(1-\pi))/(n)}$

In which

z is the zscore that has a pvalue of $1 - (\alpha)/(2)$ .

For this problem, we have that:

$n = 55, \pi = (24)/(55) = 0.4364$

93% confidence level

So $\alpha = 0.07$ , z is the value of Z that has a pvalue of $1 - (0.07)/(2) = 0.965$ , so $Z = 1.81$ .

The lower limit of this interval is:

$\pi - z\sqrt{(\pi(1-\pi))/(n)} = 0.4364 - 1.81\sqrt{(0.4364*0.5636)/(55)} = 0.3154$

The upper limit of this interval is:

$\pi + z\sqrt{(\pi(1-\pi))/(n)} = 0.4364 + 1.81\sqrt{(0.4364*0.5636)/(55)} = 0.5574$

Find the number of positive integers not exceeding 108 that are not divisible by 5 or by 7.

Answers

Answer:

Step-by-step explanation:

The set of positive integer not exceeding 108 divisible by 5 is

$D_5=\{5 \quad 10 \quad 15 \quad 20 \quad 25 \quad 30\quad 35 \quad 40 \quad 45 \quad 50 \quad 55 \quad 60 \quad 65\n \quad 70 \quad 75 \quad 80 \quad 85 \quad 90 \quad 95 \quad100 \quad 105\}$

and the set of positive integer not exceeding 108 divisible by 7 is

$D_7=\{7 \quad 14 \quad 21 \quad 28 \quad 35 \quad 42 \quad 49 \quad 56 \quad 63 \quad 70 \quad 77 \quad 84 \quad 91 \quad 98 \quad 105\}$

Moreover, there are exactly three positive numbers not exceedng 108 that are divisible by both 5 and 7, i.e,

$D_5 \cap D_7=\{37 \quad 70 \quad 105\}$ .

Also note that the size of $D_5$ is $\#D_5=21$ , the size of $D_7$ is $\#D_5=15$ and $\# D_7 \cap D_5 = 3$ .

On the other hand, If a positive integer not exceding 108 is not divisible by 5 or 7, then it doesn't belong to any of this sets. Therefore, the number of positive interges not exceding 108 that are not divisible by 5 or 7 is equal to

$108 -(\#D_7 + \# D_5 - \# D_7 \cap D_5)=108 -(21+15-3)=75$

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Brian has $88 and he saves $3.50 a week how many more weeks will it take him to get to 200

A three-digit number has two properties. The tens-digit and the ones-digit add up to 5. If the number is written with the digits in the reverse order, and then subtracted from the original number, the result is 792. Use a system of equations to nd all of the three-digit numbers with these properties

Anybody Know This. ?