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Vinil7 [7]
3 years ago
11

Define the variables and write a system of equations to represent the given situation do not solve

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:  28x  + 15y = 131   and x + y =  7   where x is the number of Dress shirt and y is the number of T-shirt.

Step-by-step explanation:

We will represent the number of Dress shirt he bought by x and we will represent the number of T-shirt he bought by y.

We know that he spent 131 so the cost of each dress shirt plus the cost of each T-shirt has to equal  131.  Also, he bought 7 total shirts so x plus y has to equal 7.

28x  + 15y = 131  

x + y =  7

Note: it says don't solve so I didn't solve but if you want to solve use these equations.

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The length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, wo
andrew11 [14]

Answer:

<em>24 children</em>

Step-by-step explanation:

If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

y  \alpha \frac{1}{x}\\y =\frac{k}{x}

k is the constant of proportionality

If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6

Substitute:

6 = k/16

k = 6*16

k = 96

W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x

y = 96/4

y = 24

<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>

<em></em>

5 0
3 years ago
The dimensions of a rectangle are given in
alexandr1967 [171]

Option A and Option F

The expressions that represent the perimeter of rectangle are 4s + 1 and 2(2s + \frac{1}{2})

<em><u>Solution:</u></em>

From figure,

Length = s

Width = s + \frac{1}{2}

<em><u>The perimeter of rectangle is given as:</u></em>

perimeter = 2(length + width)

Substituting the values we get,

perimeter = 2(s + s + \frac{1}{2})\\\\perimeter = 2(2s + \frac{1}{2})

Thus option F is correct

On further simplification,

perimeter = 2(2s + \frac{1}{2})\\\\perimeter = 4s + 2(\frac{1}{2})\\\\perimeter = 4s + 1

Thus Option A is correct

3 0
3 years ago
Box A has a volume of 512 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were divided by 2. What i
bearhunter [10]

Answer : The volume of box B is 64m^3

Step-by-step explanation :

Given :

Volume of box A = 512 cubic meter

Let us assumed that the box A and box B are cubes and the dimensions of cube are same i.e, 'a'.

Volume of box A = V = a\times a\times a=a^3

As per question,

When dimensions of box A divided by 2 then the volume of box B will be:

Volume of box A = V' = \frac{a}{2}\times \frac{a}{2}\times \frac{a}{2}=\frac{a^3}{8}

As the box B is similar to box A. So, the volume of box B will be:

Volume of box B = V' = \frac{a^3}{8}

V'=\frac{a^3}{8}=\frac{V}{8}

V'=\frac{512m^3}{8}=64m^3

Therefore, the volume of box B is 64m^3

5 0
3 years ago
Easy question help me please
Ksivusya [100]

The correct answer is A.

5 0
3 years ago
Read 2 more answers
Please help me need it now for work I am just dum. Here are the questions and here are the possible answers for the questions. Y
Yakvenalex [24]

Answer:

1. Given

2. Distributive property

4. Division property

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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