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Allisa [31]
3 years ago
7

Solve inequalities for x : |5x -3|< 12.

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Hello!

→ To answer the question we need to know about inequations, then...

\huge {\text {$  \blue{ \sf \mid 5x - 3 \mid < 12 } $}}

                     \swarrow

\huge {\text {$  \red {\sf \mid 5x  \mid < 12+3 }$}}

                  \searrow

                      \huge {\text {$  \purple { \sf \mid 5x  \mid < 15} $}}

                       \swarrow

\huge {\text {$  \bf \mid x  \mid < 15 \div 5 $}}

                   \large {\text {$ \downarrow $}}

       \huge {\boxed {  \bf \mid x \mid < 3 }}

  • <em>Good studies!</em>

<em />

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Please help!!! 20 POINTS!!
Sedbober [7]

Answer:

it would be 9 by 6

Step-by-steit would be 9 by 6p explanation:

it would be 9 by 6

8 0
3 years ago
Please get it and I will Mark brandliest if you get this​
SIZIF [17.4K]

Answer:

i think 50

Step-by-step explanation:

7 0
3 years ago
Manuel takes a job translating English instruction manuals to Spanish. He will receive $15
12345 [234]

Answer:

15x+100(3) ≥ $1500

x ≥ 80 pages

Step-by-step explanation:

Let x represent the number of  pages.

Manuel receives $15 per page = 15x

Plus $100 per month. Manuel would like to work for 3 months = 15x+100(3)

He wants to make at least $1500 during the summer

Thus the inequality we get is:

15x+100(3) ≥ $1500

Now solve the equation to find minimum number of pages:

15x+300 ≥ $1500

Combine the like terms:

15x ≥ 1500-300

15x ≥ $1200

Divide both sides by 15

15x ≥ $1200/15

x ≥  80 pages

3 0
3 years ago
Which is bigger: 5/8 or 2/3
sergejj [24]


°°Let's see -

To find out which fraction is bigger, I like to divide the numerator of a fraction by its denominator. Let's begin!

5 ÷ 8 = 0.625

2 ÷ 3 = 1.5

We now can see that 2/3 is larger than 5/8.

Why, you ask? Well, if you pay close attention to the decimals, you can see 1.5 and 0.625 - And 1.5 is 1 and a half, while 0.625 is smaller than 1.

↑   ↑   ↑  Hope this helps! :D

3 0
3 years ago
Read 2 more answers
Each of the four shaded rectangles has an area of 21 cm square and a perimeter of 20cm what is the perimeter of the square forme
Rasek [7]

Answer:

16cm

Step-by-step explanation:

Given

Area = 21cm^2

Perimeter = 20cm

n=4 --- rectangles

Required

The perimeter of square in the middle

The area of a rectangle is:

Area = L * W

So, we have:

L * W =21

The perimeter is:

P = 2*(L + W)

So, we have:

2*(L + W) = 20

Divide by 2

L + W = 10

Make L the subject

L = 10 - W

Substitute L = 10 - W in L * W =21

(10 - W) * W = 21

Open bracket

10W - W^2 = 21

Rewrite as:

W^2 -10W +21 = 0

Expand

W^2 -3W - 7W + 21 = 0

Factorize

W(W - 3) - 7(W - 3) = 0

Factor out W - 3

(W - 7)(W - 3) = 0

Solve for 7

W = 7\ W = 3

We have:

L = 10 - W

This means that:

W = 7\ W = 3

L = 3,\ L = 7

The length (l) of the square is:

l = |W - L| ---- the difference between the dimension of the rectangle

l = |7 - 3|

l = |4|

l = 4

The perimeter is:

P = 4l

P = 4*4

P =16

8 0
3 years ago
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