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3 years ago

PLEASE HURRY FIRST ANSWER WILL BE BRAINLIEST can someone translate these word problems to an actual equation?

Mathematics

1 answer:

Reika [66]3 years ago

3 0

Answer:

1). 9 red 6 fancy 2). 50 shirts 20 pants 3). 62 purple 31 red 4). 19 dimes 9 quarters

Step-by-step explanation:

Most are systems of equations. So, they will have more than one equation.

1). x (Red wrapping paper) y (fancy print paper)

x + y = 15

2x + 4y = 42

Solved: x = 9 y = 6

2). x (shirts) y (pants)

x + y = 70

12x + 30y = 1200

Solved: x = 50 y = 20

3). x (purple) y (red)

I ended up dividing 93 by 3 and then multiplying it by 2 for purple and keeping the other third for red. Not quite sure how to fit this into an equation, its just simple math.

Solved: x = 62 y = 31

4). x (dimes) y (quarters)

.10x + .25y = 4.15

x = y - 10

Solved: x = 19 y = 9

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Step-by-step explanation:

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3 years ago

the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a

Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, ( $\mathbf{4\sqrt 3}$ )

The exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

The given parameters are:

$\mathbf{Area =56\pi\sqrt 6}$

$\mathbf{r=4\sqrt 3}$

The surface area of a cylinder is calculated as:

$\mathbf{Area = 2\pi rh + 2\pi r^2}$

Substitute values for Area

$\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}$

Divide through by pi

$\mathbf{56\sqrt 6= 2 rh + 2r^2}$

Substitute value for r

$\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}$

$\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}$

Collect like terms

$\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}$

Make h the subject

$\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}$

$\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}$

Rationalize

$\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}$

$\mathbf{h = 7\sqrt 2- 4\sqrt 3}$

Hence, the exact value of h is: $\mathbf{7\sqrt 2- 4\sqrt 3}$

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3 years ago

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To find how high school students feel about hot lunches, Adam walks to the nearest high When a=6 and b=22, c=33. If c varies dir

Delvig [45]

Answer:The equation that models the solution will be

33 = 22k / 6

Step-by-step explanation:

The two types of variation involved in this problem are direct variation and inverse variation.

In direct variation, when one item changes in the positive or negative direction, the other item also changes in the positive or negative direction.

In inverse variation, when one item changes in the positive or negative direction, the other item also changes in the negative or positive direction.

From the information given,

c varies directly with b

If we introduce a direct proportionality constant, k, then,

c = kb

c also varies inversely with a

If we introduce an inverse proportionality constant, k, then,

c = k/b

Therefore, c = kb / a

When a=6 , b=22 and c=33.

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33 = 22k / 6

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