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2 years ago

7

What is the solution of the inequality shown below? w + 7 ≥ 2

2 answers:

gregori [183]2 years ago

6 0

Answer:

w $\geq$ -5

Step-by-step explanation:

Hope this helps! :D

Romashka [77]2 years ago

4 0

Answer:

W ≥ -5

Step-by-step explanation:

Subtract 7 from both sides to get W by itself. 2-7=-5

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Find the quotient of (11 ^ 18)/(11 ^ 3)

astraxan [27]

Answer:

The first choice, $11^{15}$ .

Step-by-step explanation:

The numerator, $11^{18}$ , is equivalent to eighteen " $11$ " multiplied together:

$11^{18} = \underbrace{11 \times 11 \times 11 \times 11 \times \cdots \times 11 \times 11}_{\text{$18$ in total}}$ .

On the other hand, the denominator, $11^{3}$ , is equivalent to three " $11$ " multiplied with one another:

$11^{3} = 11 \times 11 \times 11$ .

Dividing $11^{18}$ by $11^{3}$ would eliminate three " $11$ " from the numerator:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & \frac{(11 \times 11 \times 11) \times \overbrace{11 \times \cdots \times 11}^{\text{$(18 - 3)$ in total}}}{(11 \times 11 \times 11)} \\ =\; & \overbrace{11 \times \cdots \times 11}^{\text{$15$ in total}} \\ =\; & 11^{15}\end{aligned}$ .

In general, dividing an expression by $y^{b}$ ( $y \ne 0$ ) is equivalent to multiplying that expression by $y^{-b}$ .

For example, in this question, dividing $11^{18}$ by $11^{3}$ would be equivalent to multiplying $11^{18}\!$ by $11^{-3}$ . In other words:

$\begin{aligned}& \frac{11^{18}}{11^{3}} \\ =\; & 11^{18} \times 11^{-3} \\ =\; & 11^{18 - 3} \\ =\; & 11^{15}\end{aligned}$ .

6 0

2 years ago

Samantha has a shelf that is 95 over 4 inches wide. How many books can Samantha arrange on the shelf if each book is 5 over 4 in

love history [14]

Answer:

Option 1 - 19, because the number of books is 95 over 4 divided by 5 over 4

Step-by-step explanation:

Given : Samantha has a shelf that is 95 over 4 inches wide.

To find : How many books can Samantha arrange on the shelf if each book is 5 over 4 inches thick?

Solution :

The thickness of shelf = $\frac{95}{4}$ inches

Each book thickness = $\frac{5}{4}$ inches

Let the total number of books that could be arranged in the shelf be 'n'.

$\text{Number\ of\ books\ arranged}=\dfrac{\text{Thickness\ of\ shelf}}{\text{Thickness\ of\ one\ book}}$

Substitute the values,

$n=\dfrac{\dfrac{95}{4}}{\dfrac{5}{4}}$

$n=\dfrac{95\times 4}{5\times 4}$

$n=\dfrac{95}{5}$

$n=19$

Therefore, option 1 is correct.

19, because the number of books is 95 over 4 divided by 5 over 4

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