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Paraphin [41]
3 years ago
13

Write and graph a system of inequalities that models the situation.

Mathematics
1 answer:
liubo4ka [24]3 years ago
7 0

Answer:

The feasible region in the attached figure

Step-by-step explanation:

Let

x ----> the number of shirts

y ----> the number of pants

we know that

The cost of the shirts (number of shirts multiplied by the cost of one shirt) plus the cost of the pants (number of pants multiplied by the cost of one pant) must be less than or equal to $80

so

The inequality that represent this problem is

5x+8y\leq 80

using a graphing tool

The feasible region is the triangular shaded area

see the attached figure

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What is the constant proportionality in the equation y = 6x?
Lesechka [4]

Answer: the constant of proportionality is x

Step-by-step explanation:

5 0
3 years ago
John has to build a box for his scouting project with a volume of 36 cubic centimeters.
prohojiy [21]

Answer:

John should build the box 3 cm high.

Step-by-step explanation:

John should build the box 3 cm high because to find the volume you must do length x width x height. To find this you have to multiply the length x width. In this problem 6 would be the length and 2 would be the width. After multiplying those you get 12. You then have to find what number multiplies with 12 to get 36, which is 3. Hope this helped!

5 0
3 years ago
Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
Hoochie [10]

Answer:

The correct option is parallelogram ABCD is a rhombus, because the diagonal bisects two angles

Step-by-step explanation:

In triangle ABD:

∠B = ∠D

Thus AB=AC by the property of opposite sides of equal angles are equal

In triangle CBD

∠B = ∠D

Thus CB=CD  by the property of opposite sides of equal angles are equal

Thus all four sides of quadrilateral ABCD are equal  

And diagonal BD bisects the angles  

So, it is a rhombus

Therefore the correct option is  parallelogram ABCD is a rhombus, because the diagonal bisects two angles....

5 0
3 years ago
Evaluate tan 30° without using a calculator by using ratios in a reference triangle.
Sloan [31]

Answer: Root 3 / 3

Step-by-step explanation: Use unit circle trigonometry.

6 0
2 years ago
Read 2 more answers
Noya needs to determine the number of books that will fit into a box. If the box has a length of 18 inches and each book is Star
natima [27]

Answer:

A. 18÷2/9

Step-by-step explanation:

A. 18÷2/9

B. 18×2/9

C. 2/9÷18

D. 9/2÷18

Let

Total length of box = 18 inches

Thickness of each book = 2/9 inches

Number of books that will fit into the box = x

Number of books that will fit into the box = Total length of box ÷ Thickness of each book

x = 18 ÷ 2/9

= 18 × 9/2

= 162/2

= 81 books

The correct answer is A. 18÷2/9

7 0
3 years ago
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