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2 years ago

8(2x – 14) + 13 = 4x – 27

2 answers:

6 0

8(2x – 14)+13 = 4x – 27We first multiply what we can.
16x-112+13=4x-27
Then we sum
16x-99=4x-27
Then we move all the number and separated from x
16x-4x=-27+99
we simplify
12x=72
Then we divide
x=72/12
x= 6

To solve this we put 6 instend of x
8(2(6) – 14) +13 = 4(6) – 27we aolve teh things in parenthesis
8(12-14)+13=24-27
8(-2)+13= 24-27
We just solve
-16+13= -3
-3=-3
So our answer is 6 since -3 does equal to -3

Amanda [17]2 years ago

3 0

I will write the steps as I solve the equations.

8(2x−14)+13=4x−27

Simplify both sides of the equation.

8(2x−14)+13=4x−27

Simplify:

16x−99=4x−27

Subtract 4 from both sides.

16x−99−4x=4x−27−4x

12x−99=−27

Add 99 to both sides.

12x−99+99=−27+99

12x=72

Divide both sides by 12.

12x/12=72/12

x=6

Read more on inequalities here:

brainly.com/question/24372553

#SPJ1

7 0

2 years ago

Dos campañas suenas a intervalos de 26 y 78 minutos respectivamente ¿A que hora sonarán juntas otra vez si empieza simultáneamen

faust18 [17]

I need someone to translate for me

4 0

2 years ago

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c

Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

For Plan A

No initial fee and $8 for each GB

Here, $\frac{13}{3}$ GB will cost $\frac{13}{3}$ × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, $4\frac{1}{3}$ GB will cost $20 + ( $2\frac{1}{3}$ × $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0

1 year ago

What are the values of x and y in the figure shown below?

n200080 [17]

First let's find y. We know the sum of angles equals 180, so if we add the angles of ABC, we'd get 180.
30+y+80+y=180
110+2y=180
2y=70
y=35

You could solve x ,but the only response with y=35 is c. But to solve for x, you'd ad 35 35 and xwhich would equal 180.
35+35+x=180
70+x=180
x=110

5 0

2 years ago

Find an equation of the line containing (-3,4) and having slope -2. If this line contains the points (a,8) and (5,b), find a and

larisa [96]

Answer:

Step-by-step explanation:

Remark

The slope intercept line is written as y = mx + b in it's general form.

You can get the slope, m, immediately because it is given as -2

So far what you have is y = -2x + b

y intercept

To get the y intercept, use the point (-3 , 4)

x = - 3

y = 4

4 = -2*(-3) + b

4 = 6 + b Subtract 6 from both sides

4 - 6 = 6-6 + b

b = - 2

Line

y = -2x - 2

(a,8)

y = -2a - 2

8 = -2a - 2 Add 2 to both sides

8 +2 = -2a -2+2 Combine

10 = - 2a Divide by - 2

10/-2 = a

a = -5

(5,b)

y = -2x - 2

x = 5

y = b

b = -2*5 - 2

b = -10 - 2

b = - 12

6 0

2 years ago