4. Find a value of x that is a solution to 5(x - 3) = x + 13. Describe how you found the solution​

Answers

Answer 1

Answer:

x=7

Step-by-step explanation:

5(x - 3) = x + 13

Distribute the 5

5x-15 = x+13

Subtract x from each side

5x-15-x = x+13-x

4x-15 =13

Add 15 to each side

4x-15+15 = 13+15

4x= 28

Divide each side by 4

4x/4 = 28/4

x = 7

Answer 2

Answer:

x = 7

Step-by-step explanation:

First

5(x - 3) = 5x - 15 by distributing the 5 on each variable and number in the parenthesis.

Then

5x - 15 = x + 13 which you add 15 (or 5x - 15 + 15 = x + 13 +15) on both sides to have the numbers on one side because it must be the opposite to cancel out the 15 on the original/previous side.

Afterwards

5x = x + 28 now we must get the x to the other side and using the same logic as before you move the x to the other side by subtracting it (or 5x - x = x + 28 - x) to the other side equaling 4x = 28.

Finally

4x = 28 you need to divide each side by 4 to cancel out the 4 on the x since we must find out what x is (or 4x/4 = 28/4), and you should get x = 7.


Related Questions

Explain please :)

A golfer is hitting a ball up a hill. The height of the hill is represented by the function
y = 0.125x. The height of the ball is measured by the equation
y = –16x^2+56x. How much higher will the ball be when it lands than when it was initially hit?

Answers

Answer:

3.49 ft

Step-by-step explanation:

y = 0.125x

y = –16x^2 + 56x

Set the equations equal since the height of the hill

and the height of the ball must be the same

–16x^2 + 56x = 0.125x

Subtract 0.125x from both sides

–16x^2 + 55.875x = 0

Factor out x

x(–16x + 55.875) = 0

From the zero product rule

x = 0

and

–16x + 55.875 = 0

–16x = –55.875

Divide both sides by –16

x = 3.4921875

Diiference in height

3.4921875 - 0 = 3.4921875

3.49 ft

Use properties to evaluate 1/3 (-15 ÷ 1/2 ) 1/4?
A. - 5/2
B. 5/8
C. - 5/8
D. 5/2

Answers

A. -5/2

see the attachment for explanation

hope it helps

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{\dfrac{1}{3}(-15 \div \dfrac{1}{2})(\dfrac{1}{4})}\\\\\mathbf{= \dfrac{1}{3}(-15\div 0.5)(0.25)}\\\\\mathbf{= \dfrac{1}{3}(-30)(0.25)}\\\\\mathbf{= -10(0.25)}\\\\\mathbf{= \boxed{\bf -\dfrac{5}{2}}\approx -2.5}\\\\\\\\\\\\\huge\text{\bf Therefore, your answer is: \boxed{\mathsf{Option\ A. -\dfrac{5}{2}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\bf{Amphitrite1040:)}[/tex]

Can someone please help me I will mark u brilliant

Answers

(4 4/7) you don’t have to mark me brilliant but I hope this helps

If an opossum is 40 cm long, and a bat is 20 cm long. So an opossum is how many times as long as a bat?

Answers

40/20=2

So an opossum is 2 times as long as a bat

-4/15x =1.44 Enter your answer as a mixed number in simplest form.

Answers

Answer:

[tex]\frac{ - 4}{15x} = 1.44 \\ - 4 = 15x \times 1.44 \\ 15x = \frac{1.44}{ - 4} \\ 15x = \frac{144}{ - 4 \times 100} \\ 15x = 0.36 \\ x = \frac{36}{100 \times 15 } \\ x = 0.024[/tex]

Answer:

-5 2/5

Step-by-step explanation:

i took the test from k12

Riley would like to buy a house that is selling for $330,000. The loan requires a 20% down payment. He currently has $5,300 saved, how much more money does Riley need to save for the down payment?

Answers

Answer: 1060

Step-by-step explanation:

Which of the functions represents a function?​

Answers

Answer:

letter A or B but I think it's letter b

Answer:

The answer is A

Step-by-step explanation:

on edge 2021

find the value of -3/8 x 8/15=

Answers

we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5

ok done. thank to me :>

how many times does 1 go in 9

Answers

Answer:

9 times

Step-by-step explanation:

1 goes into 9, 9 times

1+1=2

2+1=3

3+1=4

4+1=5

5+1=6

6+1=7

7+1=8

8+1=9

1 goes into 9, 9 times luv

The probability that a man will be alive in 25 years is 3/5. and the probability that his wife will be alive is 2/3. Determine the probability that in 25 years:
a. both will be alive
b. at least one will be alive
c. only the wife will be alive

Answers

Answer:

e

Step-by-step explanation:

chicken nuggets

A) 6/25

B) 13/15

C) 4/15

Explanation:

A) P(both will be alive) = (3/5)(2/5) = 6/25

B) P(at least one will be alive) = 1-P(both die) = 1-(2/5)(1/3) = 13/15

C) P(only the wife will be alive)=(2/5)(2/3) = 4/15

The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 48. When x = 48, y = what.

Answers

Y might be 84. Considering 6*8=48, it would probably be the same with Y, so 14*6=84.

Hopefully this is correct but sorry if it isn't.

Due Tomorrow: answer question 3 using steps

Answers

Answer:

Step-by-step explanation:

Picture is quite fuzzy so I will ASSUME that the triangle has inner angles of 100° and 34° (now I'm told it's 38)

This means the unlabeled angle is 180 - 100 - 34 = 46°

180 - 100 - 38 = 42°

Using law of sines.

a/sin46 = 12/sin34

a/sin42 = 12/sin38

a = 12sin46/sin34 = 15.17415...

a = 12sin42/sin38 = 13.04217...

round as appropriate. I think it my say to the hundredths

a = 15.17

a = 13.04

If I did not guess the numbers in the photo correctly, just use the same technique to arrive at a better solution.

A small pizza at Little Italy pizzeria costs $9.50, and each topping is an additional $0.50. So the cost of ordering a pizza can be determined by the equation y=0.50x+9.50, where y represents the cost of the pizza and x represents the number of toppings.

Step 2 of 2 : Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost of a small pizza with 8 toppings.

Answers

Answer:

$13.50 for 8 toppings

Step-by-step explanation:

w+2/2 + 2 = w-5/3 solve for w

Answers

Answer:

w = -28

Step-by-step explanation:

[Given] w+2/2 + 2 = w-5/3

[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]

[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]

[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]

[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]

[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]

[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] -  [tex]\frac{w}{2}[/tex]

[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]

[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]

[Multiply both sides by 6] 28 = -w

[S ubtract 28 from both sides & add w to both sides] w = -28

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

What kind of sequence is this? 34, 44, 54, 64, ...​

Answers

+10

Each number, 10 gets added
Arithmetic sequence with a common difference of 10

I need help on my algebra test. I’m reaching out because I’m really stuck and have no teachers available. Can you help me solve for y?

Answers

where is the question?

Hi , do you love math ?

Answers

It’s not my favorite subject. Sometimes it could be easy but other times it could be really difficult for me.

Answer: yes math is so good

Step-by-step explanation:

3
1) Wendy has 3/5 gallon of milk. She
used 1/8
gallon to make cookies. How
much milk does Wendy have left?
8
a)
T-
WIN
b)
b) io
3
1
19
29
c)
d)
40
40

Answers

Answer: 19/40 gallons

Step-by-step explanation:

She has 3/5. She used 1/8. 3/5=24/40 and 1/8 = 5/40.

24/40 - 5/40 = 19/40 gallons

:0 hope it helps

Robert baked 6 pies to donate to a charity dinner before he ran out of sugar. With each additional cup of sugar he buys, he can bake 1 more pie.

Write an equation that shows how the total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x.

Y=

Answers

Answer:

y=4x+6

Step-by-step explanation:

slope intercept form y=mx+b

The total number of pies Robert can bake, y, depends on the number of cups of sugar he buys, x, according to the following equation:

y = 6 + x

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

According to the following equation, the total number of pies Robert may bake, y, is determined by the number of cups of sugar he purchases, x:

y = 6 + x

This equation can be read as: "The number of pies Robert can bake, y, is equal to the number of pies he baked before he ran out of sugar, which is 6, plus the number of additional cups of sugar he buys, x."

For example, if Robert buys 2 additional cups of sugar, he can bake a total of 6 + 2 = 8 pies.

If he buys 3 additional cups of sugar, he can bake a total of 6 + 3 = 9 pies, and so on.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

negative two B subtracted by C plus four B plus three C

Answers

Answer:

First we should make this word problem into an equation.

.  *  (_poof_)   *,

-2b - c + 4b + 3c     There we go. . . much better.

Now we can simplify the equation by combining like terms.

( - 2b + 4b ) + ( - c + 3c ) = ( 2b ) + ( 2c )

So the simplified form of this would be 2b + 2c.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

if u get this right u get branist

Answers

5(2)^2-2(7) = 6

6(7+2)/2 = 27

Therefor the correct answer is the < symbol.

I hope this helps! :)

ILL GIVE BRAINIEST IF RIGHT

Is the product of rad 784 and rad 684 rational or irrational? Explain your resonating.

Answers

Answer:

Definitely rational because 576 and 684 are both natural numbers

Step-by-step explanation:

Translate the English phrase into an algebraic expression: the sum of the quotient of 3 and 2m, and the product of 8 and
m.
Enter all quotients as fractions,

Answers

Answer:

[tex]\frac{3}{2m}[/tex]+8m

Answer:

the sum of quotient of 3 and 2m and the product of 8 and m is

(3/2m +8m)

1.79 ÷1.23=

A 1.31
B 1.35
C 1.5
D 1.38​

Answers

Answer:

1.45528455285

Step-by-step explanation:

Round it up to nearest 10. So it's C

White 3 6 9 12 15
Yellow 5 10 15 20 25

Which equation relates the number of yellow flowers, y, to the number of white flowers, w.

y=w+2
y= w-2
y = 2w
y= w/2

Answers

Answer:

y=2w im not shure tell me if this is wong

Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles

Answers

Answer:  35 miles, but this is not an answer option.

Step-by-step explanation:

A   X   B       C

AC = 41 miles

BC = 2AB + 2  

AX = 6

AX + XC = 41        [This is the key equation.  We want XC and AX is given as 6]

6 + XC = 41          

XC = 35 miles

None of the answer options show this value.

I don't know why, since:

a.  "the distance from A to C is 41 miles." means AC = 41, and

b.  "Town X is between A and B, 6 miles from A" means AX = 6

If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35

I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.

i really need help with this quition

Answers

Answer:

I really need help with this question.*

Answer:

There is no question

Step-by-step explanation:

Hope you have a great day!!

Can someone please help me figure out the answer to the question in the picture?

Answers

d=100:
g=12-1/25(100)
g=12-4
g=8, d=100

d=200:
g =12-1/25(200)
g=12-8
g=4, d=200

d=300:
g =12-1/25(300)
g=12- 12
g=0, d=300

Simplifie -4.9(2+6.2v)

Answers

Answer:

it's 23over 78 and it can reduce

What is the expanded form of 14.702

Answers

Answer:

The expanded form for 14.702 is

fourteen and seven hundred two thousandths

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