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2 years ago

12

Santa's workshop charges $10 to enter and $2 additional per gingerbread cookie to decorate. Choose the equation that represents

the situation correctly.

2 answers:

nikklg [1K]2 years ago

8 0

It would be 10+2x, x represents the amount of gingerbreads you’ll decorate, so ex: you decorate 4 gingerbreads, 10+2(4)=18

vampirchik [111]2 years ago

3 0

Y=2x+10

mark me brainliest if the answer is correct, thank you in advance :)

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A sum of money is divided in the ratio 2 : 3 : 7 .Given the largest share is $112,calculate the smallest share.

emmasim [6.3K]

Answer:

$32

Step-by-step explanation:

A sum of money is divided in the ratio 2:3:7.

Let the share of each individual be represented by 2x,3x,7x respectively.

The largest share (7x) is given as $112.

$7x = 112$

$=>x = \frac{112}{7}$

$=>x = 16$

So the respective shares are $2\times16,3\times16,7\times16$

In other words, the shares are 32,48,112.

So the smallest share is $32

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Step-by-step explanation:

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2 years ago

Pyramid A has a triangular base where each side measures 4 units and a volume of 36 cubic units. Pyramid B has the same height,

omeli [17]

Answer:

The volume of pyramid B is 81 cubic units

Step-by-step explanation:

Given

<u>Pyramid A</u>

$s = 4$ -- base sides

$V = 36$ -- Volume

<u>Pyramid B</u>

$s = 6$ --- base sides

Required

Determine the volume of pyramid B <em>[Missing from the question]</em>

From the question, we understand that both pyramids are equilateral triangular pyramids.

The volume is calculated as:

$V = \frac{1}{3} * B * h$

Where B represents the area of the base equilateral triangle, and it is calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where s represents the side lengths

First, we calculate the height of pyramid A

For Pyramid A, the base area is:

$B = \frac{1}{2} * s^2 * sin(60)$

$B = \frac{1}{2} * 4^2 * \frac{\sqrt 3}{2}$

$B = \frac{1}{2} * 16 * \frac{\sqrt 3}{2}$

$B = 4\sqrt 3$

The height is calculated from:

$V = \frac{1}{3} * B * h$

This gives:

$36 = \frac{1}{3} * 4\sqrt 3 * h$

Make h the subject

$h = \frac{3 * 36}{4\sqrt 3}$

$h = \frac{3 * 9}{\sqrt 3}$

$h = \frac{27}{\sqrt 3}$

To calculate the volume of pyramid B, we make use of:

$V = \frac{1}{3} * B * h$

Since the heights of both pyramids are the same, we can make use of:

$h = \frac{27}{\sqrt 3}$

The base area B, is then calculated as:

$B = \frac{1}{2} * s^2 * sin(60)$

Where

$s = 6$

So:

$B = \frac{1}{2} * 6^2 * sin(60)$

$B = \frac{1}{2} * 36 * \frac{\sqrt 3}{2}$

$B = 9\sqrt 3$

So:

$V = \frac{1}{3} * B * h$

Where

$B = 9\sqrt 3$ and $h = \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9\sqrt 3 * \frac{27}{\sqrt 3}$

$V = \frac{1}{3} * 9 * 27$

$V = 81$

6 0

2 years ago

Read 2 more answers

10x+9=4x -9 solve <br><br> please help

Neporo4naja [7]

Answer:

x = -3

Step-by-step explanation:

To solve this, you need to isolate the variable x, this means only one side of the equation should have the variable x. To do this, you need to do the opposite operation from what's given (if it's addition, use subraction; if it's multiplication, use division; these work vise versa)

Subtract 9 from both sides of the equation. This gives you 10x = 4x - 18.
Subtract 4x from both sides of the equation. This gives you 6x = -18.
Divide both sides by 6. This gives you x = -3

The final answer is x = -3

7 0

2 years ago