5(2x + 6) = 8x + 48

how do I solve this with steps

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

10x + 30 = 8x + 48

-8x = -8x

______________

2x +30 =48

-30= -30

__________

2x/2 = 18/2

x = 9


Related Questions

HELP ASAP ...........

Answers

Answer:

A

Step-by-step explanation:

Given

y - 2x - 8 = 0 ( add 2x + 8 to both sides )

y = 2x + 8 → (1)

y² + 8x = 0 → (2)

Substitute y = 2x + 8 into (2)

(2x + 8)² + 8x = 0 ← expand left side using FOIL and simplify

4x² + 32x + 64 + 8x = 0

4x² + 40x + 64 = 0 ( divide through by 4 )

x² + 10x + 16 = 0 ← in standard form

(x + 8)(x + 2) = 0 ← in factored form

x + 8 = 0 ⇒ x = - 8

x + 2 = 0 ⇒ x = - 2

Substitute these values into (1) for corresponding values of y

x = - 8 : y = 2(- 8) + 8 = - 16 + 8 = - 8 ⇒ P (- 8, - 8)

x = - 2 : y = 2(- 2) + 8 = - 4 + 8 = 4 ⇒ Q (- 2, 4 )

Calculate the length of PQ using the distance formula

PQ = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = P (- 8, - 8) and (x₂, y₂ ) = Q (- 2, 4 )

PQ = [tex]\sqrt{(-2-(-8))^2+(4-(-8))^2}[/tex]

      = [tex]\sqrt{(-2+8)^2+(4+8)^2}[/tex]

       = [tex]\sqrt{6^2+12^2}[/tex]

       = [tex]\sqrt{36+144}[/tex]

       = [tex]\sqrt{180}[/tex]

       = [tex]\sqrt{36(5)}[/tex]

       = [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]

        = 6[tex]\sqrt{5}[/tex] → A

which of the expressions are in simplified form​

Answers

Answer: number 1

Step-by-step explanation:

number 1

There is a competition at the local movie theater for free movie tickets

Answers

Answer:

ok

ok

Step-by-step explanation:

thanks

thank

thanks

can someone help me please

Answers

Answer:

[tex] \sqrt[3]{ - 343} = - 7[/tex]

I hope I helped you^_^

Answer:

-7

Step-by-step explanation:

[tex] \sqrt[3]{ - 343} [/tex]

is the same as, let say we have a value a.

[tex]a \times a \times a = - 343[/tex]

We know a negative multipled 3 times is negative so our answer is a negative.

a cube root of 343 is 7 so the cube root of -343 is -7.

[tex] - 7[/tex]

[tex] - 7 \times - 7 \times - 7 = - 343[/tex]

(a) Using Geometry Vocabulary, describe a sequence of transformations that maps figure A onto figure B.

(b) Write the Transformation Mapping Rule(s) for the sequence you described in part (a).

Answers

It rotated 90 degrees to the right and transformed down and to the right

13122,4374,1458
Find geometrical sequence

Answers

Answer:

I'm to cool to answer that

Step-by-step explanation:

is that a bad thing

x+y+z=63x−2y+2z=2−2x−y+3z=−4

Enter your answer, in the form (x,y,z), in the boxes in simplest terms.

Answers

Answer:

(2 , 3, 1)

Step-by-step explanation:

x + y + z = 6   ..(1)

3x - 2y + 2z = 2   ..(2)

-2x - y + 3z = -4  ..(3)

(1)*3-(2): 5y + z = 16  ..(4)

(1)*2+(3): y + 5z = 8  ..(5)

(4)*5-(5): 24y = 72         y = 3

(4): 5*3 + z = 16              z = 1

(1): x + y + z = x + 3 + 1 = 6        x = 2

Can y’all help me with this one too

Answers

Answer:

8 mm

Step-by-step explanation:

the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !

.................................................

Answers

Answer: …………..

Step-by-step explanation:

……………..

is parallelogram a kite?

Answers

Answer:

Kites are a special type of quadrilateral with two distinct pairs of consecutive sides the same length. ... Similarly, every kite is not a parallelogram, because the opposite sides of a kite are not necessarily parallel.

Answer:

No

Step-by-step explanation:

All parallelograms are not a kite.

A kite is a quadrilateral with two disjoint pairs ( no side is in both pairs ) of equal-length, adjacent ( sharing a vertex ) sides. A parallelogram also has two pairs of equal-length sides, however they must be opposite, as opposed to adjacent.

( See the attached image )

There are 1,523 students at Eden Elementary School, 1,471 students at Logan Elementary School, and 2,697
students at Thomas Elementary School. About how many students are there at the schools altogether?
3,000 students
4,000 students
5,000 students
6,000 students

Answers

Answer:

6000 students

Step-by-step explanation:

Since the added value of the total number of students would be 5691, so if you wound up, it would be around 6,000

Answer:3,000 students

Step-by-step explanation:

round to the nearest hundredth if necessary $4.99 for 13 lb

Answers

Answer:2.81

Step-by-step explanation:

Hi :)
Complex fractions is a new subject for me, so I'd appreciate it if you could help me out with an explanation on how to get the answers. Thank you! Also, there are actually 8 questions, but I didn't want to burden you with too many of them, so I'll make a part two ^^

1. 10/8/9 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
2. 5 7/5 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?
3. 2/5/4 ?/? ÷ ?/? → ?/? ÷ ?/? → ?/? ÷ (simplify) ?/? → ?/?




*if you don't understand this or if you don't know the answers, please don't answer, I genuinely need help*

Answers

Answer: sorry for the long answer just skip if you dont wanna read it all but the last one was hard for me sorry if wrong

1. STEP

1

:

           8

Simplify   —

           9

Equation at the end of step

1

:

       8

 10 -  —

       9

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  9  as the denominator :

          10     10 • 9

    10 =  ——  =  ——————

          1        9  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

10 • 9 - (8)     82

————————————  =  ——

     9           9

Final result :

 82          

 —— = 9.11111

 9            

2.Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x/5-7-(5)=0

Step by step solution :

STEP

1

:

           x

Simplify   —

           5

Equation at the end of step

1

:

  x          

 (— -  7) -  5  = 0

  5          

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        7     7 • 5

   7 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (7 • 5)     x - 35

———————————  =  ——————

     5            5  

Equation at the end of step

2

:

 (x - 35)    

 ———————— -  5  = 0

    5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        5     5 • 5

   5 =  —  =  —————

        1       5  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(x-35) - (5 • 5)     x - 60

————————————————  =  ——————

       5               5  

Equation at the end of step

3

:

 x - 60

 ——————  = 0

   5  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 x-60

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  x-60  = 0

Solving a Single Variable Equation:

4.2      Solve  :    x-60 = 0

Add  60  to both sides of the equation :

                     x = 60

3.Find the Least Common Denominator (LCD) of \frac{2}{5},\frac{3}{4}

5

2

,

4

3

. In other words, find the Least Common Multiple (LCM) of 5,45,4.

LCD = 2020

2 Make the denominators the same as the LCD.

\frac{2\times 4}{5\times 4}+\frac{3\times 5}{4\times 5}

5×4

2×4

+

4×5

3×5

3 Simplify. Denominators are now the same.

\frac{8}{20}+\frac{15}{20}

20

8

+

20

15

4 Join the denominators.

\frac{8+15}{20}

20

8+15

5 Simplify.

\frac{23}{20}

20

23

6 Convert to mixed fraction.

1\frac{3}{20}

1

20

3

HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS

Answers

A: y=1500x + 2000
For B, just times 1500 by 1 through 6 plus the 2000

find the missing angle measures.


Y = 63

Z = ?

X = ?

Can someone tell me the answer to this please

Answers

Ghybbhjjjjjjjjjjjjjjjjjjjjjjhv bhbvcffttyiiokmmlo

The first side of a triangle is 4m shorter than the second side. The third side 3 times as long as the first side. The perimeter is 24m. Find the length of each side

Answers

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

An investment firm invested in two companies last year. They invested \$7000 in Company A and made a profit of 13%. They invested \$13,000 in Company B and made a profit of 18%. Answer the questions below. Do not do any rounding . (a) What was the investment firm's total profit? (b) What was the percent profit for their total investment?

Answers

Answer:

a) $3250

b) 31%

Step-by-step explanation:

a) 910 + 2340 = $3250

b) 18 + 13% = 31%

Love help :)
If
f(x) = 2x + 1
and
g(x) = x - 3

f(g(x)) = 2x + ????

Answers

Answer:

f(g(x)) = 2x - 5

Step-by-step explanation:

Given:

f(x) = 2x + 1

and

g(x) = x - 3

Find the composite function f(g(x)), substitute g(x) with its value:

f(g(x)) = f(x - 3) = 2(x - 3) + 1 = 2x - 6 + 1 = 2x - 5

Answer:

It is given

4x+3y=24

We can also write it as

3y=24−4x

 y=324−4x

Substituting x=0 in the given equation

 y=324−4(0)

 So we get 

 y=324

 By division 

 y=8 

 Substituting x=3 in the given equation 

 y=324−4(3)

 So we get

 y=312

 BY division 

 y=4

Find the value of 5w+1 given that 7w-7=7.

Answers

Answer:

lets find the exact value of w

7w - 7 = 7

+7        +7

7w = 14

/7     /7

w = 2

Now let's replace w with 2

5(2) + 1 = 11

Each graph shows two polygons ABCD and A'B'C'D'. In each case, describe a sequence of transformations that takes `ABCD` to `A'B'C'D'.`

Answers

a. Reflected across the y-axis and translated one unit down

B. Rotated 90 degrees clockwise

6 x ( 7 x 3 - 3^2) - 6
help me pleasee

Answers

Answer:

I think 66 is correct answer

Answer:

66

Step-by-step explanation:

Thank You! Please thank me. Also I answered your question "what is input/output of TV"

Someone pls help me with this I will make you brain




A fisherman’s product is modeled by function f(x), where f(x) is the number of fish caught per outing and x is the number of people fishing on the boat. Choose the ordered pair that represents a possible domain and range of the function

Answers

(22, 65) represents the A possible domain and range of F(x)

Answer: B

Step-by-step explanation: It was right on my test

The length of a rectangle is 5cm more then the width. the perimeter of the rectangle is 38cm.find the length and width of the rectangle?

Answers

Answer:

Length - 12

Width - 7

Step-by-step explanation:

38 = 2((5+x) + x)

38 = 10 +4x

28=4x

x=7

7+5=12

Given : The length of a rectangle is 5cm more then the width. The perimeter of the rectangle is 38cm. Find the length and width of the rectangle?

Solution : According to the question, here we are given that the length if the rectangle is 5m more than its breadth and so the perimeter of the rectangle is 38cm. So, for this let's check the steps below

Let's assume the breadth be B

So, as we got that length is 5cm more than Breadth which is B + 5cm

Perimeter is 38cm

Perimeter = 2(Length + Breadth)

Perimeter = 2(B + 5cm + B)

38cm = 2(2B + 5cm)

38cm/2 = 2B + 5cm

19cm - 5cm = 2B

2B = 14cm

B = 7cm

Finding Length

Length = B + 5cm = 7cm + 5cm = 12cm

Finding Breadth

Breadth(Width) = B = 7cm

Therefore, Width is 7cm whereas Length is 12cm

another question i wan't to know is -84 divided by 14

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

3
8)
2 7 .1 .5 .3 .9
3 '8'5'8'4 '10
Prefer it from least to greatest

Answers

Answer:

shenf dhd

Step-by-step explanation:

rhrbrutb hnjngb bdjdhdhdgdg jdjdurbervy

The price of a pair of shoes was reduced from $20 to $14
By what percentage was the price of the shoes reduced?
A. 6%
B. 70%
C. 43%
D. 30%
PLEASE HELP AND HURRY

Answers

Answer:

6%

Step-by-step explanation:

step by step

$20 to $14

we subtract

20-14

=6

Answer:D.30%

Step-by-step explanation:

HELP NEEDED ASAP

Find the measure of the missing angles.

Answers

Answer:

E. is 103 degree.

It's a vertical angle.

F. is 77 degree

the e and f makes a 180 degree. 180-103(aka e) = 77 degree

D. is 90 degree. it's perpendicular.

a local hamburger shop sold a combined total of 677 hamburgers and cheeseburgers on Friday. There were 73 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?​

Answers

Answer:604

Step-by-step explanation: its easy

677-73

35 points easy question

Let f(x)=x^2+4
Write a function g whose graph is a reflection in the y-axis of the graph of f.

Answers

Answer:

f-2(x) = [tex]\sqrt{x} -4[/tex], - [tex]\sqrt{x} -4[/tex]

Step-by-step explanation:

Answer:

[tex]y = \frac{15}{4} \\ \\ [/tex]

it

May I please receive help?

Answers

Answer:

[tex]\frac{4}{9}[/tex]

[tex]-\frac{9}{4}[/tex]

Step-by-step explanation:

First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.

Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.

Parallel lines have the same slope. So, the slope is the exact same, -9/4.

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