All categories

2 years ago

Solve the inequality 5(2x+8)<60

Mathematics

2 answers:

Romashka [77]2 years ago

5 0

Answer:

x < 2

Step-by-step explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Temka [501]2 years ago

5 0

Answer:

$\huge\boxed{\bf\:x < 2}$

Step-by-step explanation:

$5(2x + 8) < 60$

Multiply 5 by 2x & 8 in the right hand side of the inequality .

$5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\$

Bring 40 to the other side of the inequality .

$10x + 40 < 60\\10x < 60 - 40\\10x < 20$

Bring 10 to the left side of the inequality .

$10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}$

$\rule{150pt}{2pt}$

You might be interested in

Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan ride

irinina [24]

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

$v_{R} = \frac{x_{R}}{t}$

$x_{R} = v_{R}t$ (1)

$v_{N} = \frac{x_{N}}{t}$

$x_{N} = v_{N}t$ (2)

Where R is for Reagan and N for Nathan.

Knowing that:

$x_{R} + x_{N} = 40 mi$

By adding equations (1) and (2) we have:

$x_{R} + x_{N} = v_{R}t + v_{N}t$

$t = \frac{x_{R} + x_{N}}{|v_{R}| + |v_{N}|} = \frac{40 mi}{8 mi/h + 10 mi/h} = 2.22 h$

Therefore, they meet in 2.22 hours.

I hope it helps you!

4 0

3 years ago

Read 2 more answers

3/4 of the pupils in Year 9 say their favourite colour is red. There are 144 pupils in Year 9. How many students said red is the

eimsori [14]

Answer:

108 students

Step-by-step explanation:

Take the fraction and multiply by the number of students

3/4 *144 =108

108 students

6 0

3 years ago

Find the mean of the data in the dot plot below. students Size of each of Mr. Sirac's classes + + + + 21 20 22 23 24 25 26 28 27

ahrayia [7]

Ok the answer is b i hope that helps!!

3 0

3 years ago

Plz help confused

diamong [38]

The Xs on the plot represent cyclists. So just count the Xs!

There are 10 Xs on the line plot.

The answer is 10.

Hope this helps! If it did, be sure to rate, thank, and if it really helped, give Brainliest! It helps me rank up. Thanks! :)

8 0

3 years ago

Please help me it’s urgent please please please

WINSTONCH [101]

Answer:

y = 1

Step-by-step explanation:

Horizontal Asymptote of a function is the horizontal line that the graph of the function approaches but never touches or crosses.

Horizontal Asymptotes take the form of the equation:

y = a

Where a is a number

Looking at the graph, we see that the function goes closer and closer to the line y = 2 but never will touch/cross.

So, this is the horizontal asymptote's equation: y = 1

3 0

3 years ago