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marysya [2.9K]
1 year ago
12

Solve the inequality for x. Show each step of the solution.10x > 2(8x – 3) – 18

Mathematics
1 answer:
Luden [163]1 year ago
6 0

Answer: x<4

Given the inequality:

10x>2(8x-3)-18

We want to solve the inequality for x.

First, distribute the bracket on the right side of the inequality.

\begin{gathered} 10x>2(8x)-2(3)-18 \\ 10x>16x-6-18 \\ 10x>16x-24 \end{gathered}

Next, subtract 10x from both sides of the inequality.

\begin{gathered} 10x-10x>16x-10x-24 \\ 0>6x-24 \end{gathered}

Add 24 to both sides of the inequality.

\begin{gathered} 0+24>6x-24+24 \\ 24>6x \end{gathered}

Divide both sides of the inequality by 6.

\begin{gathered} \frac{24}{6}>\frac{6x}{6} \\ 4>x \\ \implies x

The solution to the inequality is x<4.

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3 years ago
Need help!! what is the ewuation of the like shown?
Marta_Voda [28]

Answer:

<em><u>An</u></em> equation is y = 2x + 4.

Step-by-step explanation:

<em><u>ANOTHER</u></em> equation is y - 2 = 2(x + 1)

4 0
3 years ago
measure a and measure b are vertical angles with measure a = x and measure b = 4x - 30. what is measure a?
Zolol [24]

Answer:

∠a = 10°

Step-by-step explanation:

The measure of ∠a = x

The measure of ∠b = 4x-30

It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.

For vertically opposite angles,

∠a = ∠b

x = 4x-30

or

4x-30=x

Taking like terms together,

4x-x= 30

3x = 30

x = 10

So, the meausre of ∠a is equal to 10°.

3 0
3 years ago
√(25 - 10 √(3) + 3)<br> (not as a decimal)
nikitadnepr [17]

Answer:

\huge\boxed{\sqrt{25-10\sqrt3+3}=5-\sqrt3}

Step-by-step explanation:

\sqrt{25-10\sqrt3+3}=(*)\\\\25=5^2\\3=(\sqrt3)^2\\10\sqrt3=(2)(5)(\sqrt3)\\\\(*)=\sqrt{5^2-(2)(5)(\sqrt3)+(\sqrt3)^2}\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=\sqrt{(5-\sqrt3)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|5-\sqrt3|=5-\sqrt3\\\\^{\text{because}\ 5>\sqrt3\to5-\sqrt3>0}

6 0
2 years ago
Mehwish's temperature at 9:00 .. Was 97.2 ℉. At 4:00 .. Her temperature was risen to 99 ℉. By how many degrees did her temperatu
ValentinkaMS [17]

Answer:

1.8° F

Step-by-step explanation:

Given that:

Mehwish's temperature at 9:00 = 97.2°F

Mehwish's temperature at 4:00 = 99°F

The degree rise in Mehwish's temperature is :

(Mehwish's temperature at 4:00 - Mehwish's temperature at 9:00)

(99°F - 97.2°F)

= 1.8°F

Therefore. The number of degree rise in Mehwish's temperature is 1.8°F

4 0
2 years ago
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