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timofeeve [1]
3 years ago
5

One shelf will hold 45 pounds of boxes. If you have to store 270 pounds of boxes, how many shelves will you need?

Mathematics
2 answers:
arlik [135]3 years ago
6 0

Hi!

We will solve this using ratios, like this:

1 shelf holds 45 pounds

x shelves hold 270 pounds

______________________

x = (270*1)/45

x = 270/45

x = 6

6 shelves will be needed to hold 270 pounds of boxes.

Hope this helps!

AlladinOne [14]3 years ago
3 0
270/45= 6

Your answer would be Six .
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2x

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Answer:

53°

Step-by-step explanation:

x + (2x + 21) = 180

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3 years ago
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

-2(7 + 1) = -16

-2 × 7 = -14

-2 × 1 = - 2

-14 -2 = -16

<u>20 - 16 = 4</u>

⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

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The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

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Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

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g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
2 years ago
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