All categories

2 years ago

Use the inequality 18 < -3(4x - 2) Solve the inequality for x. Show your work.

Mathematics

1 answer:

IrinaVladis [17]2 years ago

6 0

Answer:

x > -1

Step-by-step explanation:

Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)

18 < -3(4x - 2) Expand this to simplify

18 < (-3)(4x) - (-3)(2) Multiply -3 with 4x and -2

18 < -12x + 6 Start isolating 'x'

18 - 6 < -12x + 6 - 6 Subtract 6 from both sides

18 - 6 < -12x '+ 6' is cancelled out on the right side

12 < -12x Subtracted 6 from 18 on the left side

12/-12 < -12x/-12 Divide both sides by -12

12/-12 < x 'x' is isolated. Simplify left side

-1 < x Answer

x > -1 Standard formatting puts variable on the left side

You might be interested in

The ratio of boys to girls in a group is 3:1. If there are 52 more boys than girls, work out how many people there are in total.

UkoKoshka [18]

Answer: 104 (Good chance its wrong)

Step-by-step explanation: if the ratio is 3:1 then there's 3 times as much boys as girls. if there are 52 more boys then that means 52 is twice as much as the number of girls so if we divide is by 2 we get 26. if we add 26 with 52 we get 78 and if we divide 78 by 3 we get 26. so I believe there are 26 girls and 78 boys. 26+78=104

I believe 104 is the answer but there's a good chance i'm wrong.

7 0

2 years ago

Negative 15=negative 0.2x

Ray Of Light [21]

If -15 is equal to -0.2x, then 15/0.2=75
x=75

3 0

2 years ago

What is the value of the expression 5b+3c-20+3b-15c+4 when b= 2 and c= -3

Molodets [167]

Answer: 36

Step-by-step explanation:

5(2)+3(-3)-20+3(2)-15(-3)+4

10-9-20+6+45+4

-19+55

3 0

2 years ago

A counter top is 18 feet long and 3 feet wide. What is the area of the counter top in square meters? Use the conversion 1 foot =

podryga [215]

Answer:

Area of the counter top is $5.02\ m^2$ .

Step-by-step explanation:

Given:

Length of the Counter top = 18 feet

Width of the counter top = 3 feet

We need to find the area of the counter top is square meter;

Solution:

Now we need to find the area of the counter top is square meter.

But given data is in feet so we will first convert feet into meters.

1 foot = 0.305 meter.

So 18 feet = Number of meters in 18 feet.

By Using Unitary method we get;

Number of meters in 18 feet = $18\times 0.305 = 5.49\ m$

Length of the Counter top = 5.49 m

Also 3 feet = Number of meters in 3 feet.

Again Using Unitary method we get;

Number of meters in 3 feet = $3\times 0.305 = 0.915\ m$

Width of the counter top = 0.915 m

Now we know that;

Area of the counter top can be calculated by multiplying Length of the counter top with width of the counter top.

framing in equation form we get;

Area of the counter top = $5.49\times 0.915 = 5.0233\ m^2$

Rounding up to 2 decimals we get;

Area of the counter top = $5.02\ m^2$

Hence Area of the counter top is $5.02\ m^2$ .

3 0

2 years ago

Select the correct location on the table.

enot [183]

Answer:

someone plz answer this I need the answer

Step-by-step explanation:

8 0

2 years ago