Which compound inequality can be used to solve the inequality 13x+2 >7?

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

Answer:

(D) $3x+2 < -7$ or $3x+2 >7$

Step-by-step explanation:

Given the absolute inequality: $|3x+2| >7$

When solving absolute inequalities, if the problem has a greater than sign we set up an "OR" compound inequality that looks like this:

(Expression inside absolute value) < - (number on other side) OR
(Expression inside absolute value) > (number on other side)

Therefore, for the absolute inequality |3x+2| >7, we have:

$3x+2 < -7$ or $3x+2 >7$

The correct option is D.

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if two pyramids are similar and the ratio between the lengths of their edges is 2;7 what is the ratio of their volumes? ...?

jok3333 [9.3K]

The answer is 8:343.

We can use Galileo's square cube law to calculate the ratio between two similar pyramids. The law is used to describe the change of the area or the volume of the shape when their dimensions increase or decrease:
$\frac{V_1}{V_2} =( \frac{l_1}{l_2} )^{3} \\$ 
 
V₁ and V₂ - volumes of pyramids,
l₁ and l₂ - the edges of pyramids.

 $\frac{V_1}{V_2} =( \frac{l_1}{l_2} )^{3} \\ \frac{V_1}{V_2} =( \frac{2}{7} )^{3} \\ \frac{V_1}{V_2} = \frac{2^{3}}{7^{3}} \\ \frac{V_1}{V_2} = \frac{8}{343} \\$

3 0

3 years ago

Read 2 more answers

A laptop has a listed price of $843.88 before tax if the sales tax rate is 7.25% find the total cost of the laptop with sales ta

Step2247 [10]

Answer:

$905.06 dollars

Step-by-step explanation:

Given the following question:

7.25% of 843.88

In order to find the answer, we use the formula to calculate percentages, then we add that answer to the initial cost of the laptop.

$\frac{p\times c}{100}$
$\frac{7.25\times843.88}{100}=7.25\times843.88=6118.13\div100=61.1813$
$61.1813$
$1 < 5$
$61.18$

Now add:
 $843.88+61.18=905.06$
$=905.06$

Which means the laptop after a 7.25% sales tax costs "$905.06 dollars."

Hope this helps.