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3 years ago

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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3 years ago

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

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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

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All together: 5x - 15 -2x - 2 = 4

Now combine like terms:

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________________________________

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

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⬆⬆⬆Therefore this is correct.

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2 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

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Answer:

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

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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)

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

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

$m = 8$

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

$g(x) = mx + b$

$m \to slope$

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$g(x) = 3x -2$

$m = 3$

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y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

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$g(0) =-2$

$f(0) > g(0)$

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2 years ago