Consider the inequality-5(x+7)<-10 write an inequality representing the solution for x

Mathematics

1 answer:

GrogVix [38]2 years ago

6 0

Answer:

Step-by-step explanation:

-5(x + 7) < -10 use the distributive property a(b + c) = ab + ac

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10 add 35 to both sides

-5x < 25 change the signs

5x > - 25 divide both sides by 5

x > -5

You might be interested in

the price of an item has been reduced by $2.72 . the new sale price is $96.09 . what was the original price?

stellarik [79]

You add the two numbers together and get $98.81

6 0

3 years ago

F(x) = x^2 if the graph is moved 3 spaces to the right for g(x). describe g(x)

daser333 [38]

G(x) = (x-3)^2
it’s vertex is at (3,0)

5 0

3 years ago

A robot can complete up to 8 tasks in 5/6 hour. each task takes the same amount of time.

storchak [24]

$\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ 1&h \end{array}\implies \cfrac{8}{1}=\cfrac{~~\frac{5}{6}~~}{h}\implies 8=\cfrac{~~\frac{5}{6}~~}{\frac{h}{1}}\implies 8=\cfrac{5}{6}\cdot \cfrac{1}{h} \\\\\\ 8=\cfrac{5}{6h}\implies 48h=5\implies h=\cfrac{5}{48}\\\\[-0.35em] \rule{31em}{0.25pt}$

$\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t$

7 0

3 years ago

Read 2 more answers

Two opposite rays _____ form a line.

disa [49]

The answer is -
always

3 0

3 years ago

Read 2 more answers

Please help will give 20 points to right answers (will give brainliest to very first correct answer) Tom walks 3.2 km every morn

nignag [31]

For this case we have the following conversions:
$1 mile = 1,609 km

1 mile = 5,280 feet$
We must apply the conversions to move from kilometers to feet.
We have then:
$(3.2) * (1 / 1,609) * (5280) = 10500.93226
$
Rounding off we have:
10501 feet
Answer:
there are 10501 feet in 3.2 km

6 0

3 years ago