<img src="https://tex.z-dn.net/?f=-24%5Cleq%203x-9" id="TexFormula1" title="-24\leq 3x-9" alt="-24\leq 3x-9" align="absmiddle" c

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ra1l [238]

3 years ago

lass="latex-formula">

Mathematics

2 answers:

dybincka [34]3 years ago

8 0

If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:

-24 ≤ 3x - 9 First add 9 on both sides

-24 + 9 ≤ 3x - 9 + 9

-15 ≤ 3x Then divide 3 on both sides to get "x" by itself

$\frac{-15}{3} \leq \frac{3x}{3}$

-5 ≤ x [or x ≥ -5 if you prefer "x" to be on the left side]

BigorU [14]3 years ago

3 0

X ≥ - 5 //////////////////////////

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If you are going 70.0 mi/hr, how many do you travel in 0.681 hours?

solniwko [45]

If x is the how far you would travel,
$\frac{70mi}{1hr} = \frac{x}{0.681hr}$
When you cross multiply,
$x = 70 \times 0.681$

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3 years ago

Build the fraction to an equivalent fraction with the specified denominator. State the numerator. 5/12 = ?/60

VARVARA [1.3K]

The answer is 5/12 = 25/60

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4 years ago

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Ket [755]

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7 0

4 years ago

Use multiplication in the distributive property to find the quotient 252 divided by 9

ira [324]

252 divided by 9 is 28

Firstly, I muplity 20 and 9.

I have 180.

Then I also muplity 8 and 9.

I got 72.

Then I add 72 and 180 which got me 252.

(I hope this helped!)

8 0

3 years ago

PLLLZ HELP Find Sn if a1 = 20, d = –10, and n = 25.

Ivanshal [37]

Option A: $-2500$ is the value of $S_{25$

Explanation:

It is given that the first term is $a_1=20$

The common difference is $d=-10$

We need to determine the sum of 25 terms.

The sum of terms of an arithmetic series can be determined using the formula, $S_n=\frac{n[2a_1+(n-1)d]}{2}$

Substituting $n=25$ , $a_1=20$ and $d=-10$

Thus, we have,

$S_{25}=\frac{25[2(20)+(25-1)(-10)]}{2}$

Simplifying the values, we get,

$S_{25}=\frac{25[40+(24)(-10)]}{2}$

$S_{25}=\frac{25[40-240]}{2}$

Subtracting the terms within the bracket, we get,

$S_{25}=\frac{25[-200]}{2}$

Multiplying the terms in the numerator, we have,

$S_{25}=\frac{-5000}{2}$

Dividing, we get,

$S_{25}=-2500$

Thus, the sum of the 25 terms is $-2500$

Therefore, Option A is the correct answer.

8 0

4 years ago

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