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

Find the inverse function of f informally.

Answers

Answer:

What is f?

Step-by-step explanation:

A basket containing 150mangoes cost 450 find the selling price of an orange if it is to be sold at a profit of 5%

Answers

Answer:

The selling price cost 472.5

Step-by-step explanation:

Let's find the profit first.

To find that, let's turn 5% to decimal form.

5 % = 0.05

Then, lets multiply it to the initial price which is 450

450 * 0.05 = 22.5

So the profit costs 22.5

Now, let's add the profit to the initial cost to find the selling price

450 + 22.5 = 472.5

That's it.

16. In April, Harry received his phone bill and found that he was charged $40 for 120
minutes of talking. In May, Harry received his phone bill and found that he was
charged $50 for 140 minutes of talking
Part A: Find the rate that Henry is charged for each minute of use.
a. $2 per minute
b. $1 per minute
C. $5 per minute
d. $0.50 per minute
Part B: Describe an equation in point slope form for calculating the cost (y) based on
minutes of use (x)

Answers

Step-by-step explanation:

A. Take two pairs of points:

(120, 40) and (140, 50)

Find the rate of change:

(50 - 40)/(140 - 120) = 10/20 = 0.5

This is the rate, $0.50 per minute

B. Take one pair of points (120, 40) to show the relationship between number of minutes and the cost:

y - 40 = 0.5(x - 120)

A line that passes through (3, 1) and (0, -3)

Answers

You can first plot these points on the graph. If you need the slope do y2-y1/x2-x1

Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!

Answers

Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.

The resulting mixture is 19% milk

Reasons:

The known quantities are;

The volume of milk Dita adds to an cup of coffee = 18 oz

The percentage of milk in the cup of coffee = 10%

Required:

The percentage milk in the resulting mixture.

Solution:

Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz

The total amount of milk in the resulting mixture = 2 oz + 1.8 oz =  3.8 oz

Volume of the resulting mixture = 2 oz + 18 oz = 20 oz

The percentage of milk in the resulting mixture is therefore;

[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]

The resulting mixture is 19% milk.

Learn more here:

https://brainly.com/question/22599498

It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?

Answers

Answer:

$139 463.95

Step-by-step explanation:

100% - 4.6% = 95.4%

95.4% ÷ 100 = 0.954

0.954 --> decimal multiplier

$185 000 × 0.954^6 = $139 463.95

Hope this helps! <3

Order the fallowing numbers from least to greatest put the lowest number on the left. -4 , 2 , -1, 3

Answers

Answer:

-4,-1,2,3

Step-by-step explanation:

Convert to an exponential equation.
In 17 = 2.8332

Answers

Answer:

17 = e^2.8332

Step-by-step explanation:

Evaluate : X + 2 ( x -20) (4)
for x = 10

Answers

Answer:

x + 2 ( x - 20 )( 4 ) = -70

Step-by-step explanation:

hope this helps. . .<3

Do you think you could use a multiply a 4 digit number by a 1 digit number

Answers

Answer:

line them up straight with the bottom number and the top number.

Someone pls help me with these worksheets.



(Please answer properly, if u don't know, just ignore it)

Answers

Answer:

i wrote answer of the question 1 to 4 but i don't know the answer to 5

Answer: 1) (3,0) 2) (4,2) 3) (5,1) not sure about 4 and 5

1) (3,7/2) 2) (1,-4) 3) (-3,2) im bad at word problems, sorry.

Step-by-step explanation: all i can say without sounding confusing is divide on both sides!! <3

4) Find the sum of 6\12 and 1\2 .A) 3\12 B) 9\12 C) 12\12 D) 13\12

Answers

Answer:

12/12

Step-by-step explanation:

6/12= 1/2

so 1/2+1/2 = One Whole and that the same thing as 12/12

Answer:

Answer is option C

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

June earned $ 75 last week. April earned $25. June earnings were how many times greater than April

Answers

Answer:

3 times

Step-by-step explanation:

75÷25=3 times greater than April

Determine the number of solutions to the the equation: 2 (x - 3) + 9 = 5 + x - 1

Answers

Answer:

2×-6+9=5+×-1

2×-×=5-1+6-9

×=1

A line is reflected. Which of these could be the result?

Answers

b bcause i knew it and i mean i have a 5.0 gpa

Which equation represents a line which is parallel to the line y=1/5x -1
5x +y =3
X+ 5y =10
5y - x = -20
5x - y = -3

Answers

9514 1404 393

Answer:

  (c) 5y - x = -20

Step-by-step explanation:

When the x- and y-terms are on the same side of the equation, the slope of the line will be ...

  m = -(coefficient of x)/(coefficient of y)

So, the slopes of the offered choices are ...

  a) -5/1 = -5

  b) -1/5

 c) -(-1)/5 = 1/5 . . . . . parallel to given line

  d) -5/-1 = 5

The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.

How long would it take to earn Php 8,000 on a principal of Php 20,000 at 5% simple interest rate?

Answers

The length of time it would take the given principal to become Php 8,000 is 8 years.

The formula that would be used to determine the length of time it would take Php 20000 to accumulate an interest of Php 8000 can be determined using this formula:

Time = Interest earned / (principal x interest rate)

8000 / (20,000 x 0.05)

= 8 years

To learn more about simple interest, please check: brainly.com/question/9352088?referrer=searchResults

please help asap and please give real answers

Answers

Answer:

x = 2, x = - 5

Step-by-step explanation:

To factor it, you can split the middle term to get:

x² - 2x + 5x - 10 = 0

Then, you can factor the first two and the last two to get:

x (x - 2) + 5(x - 2) = 0

And if you divide both sides by (x - 2) you get:

(x - 2) (x + 5) = 0

Finally, this can be solved by the Zero Product Property which states that if x*y=0, then x and/or y has to be equal to 0. If you apply it to the eqaution you get:

x - 2 = 0, x + 5 = 0

which results in:

x = 2, x = - 5

1. This yield sign has equal sides and a perimeter of 136 cm. How long is each side?​

Answers

Answer:

45 1/3 cm

Step-by-step explanation:

A yield sign is a triangle so it has 3 sides.

If the perimeter is 136 cm meaning 3x = 136 because all the sides are equal so you can multiple the length of each side by 3 to find the perimeter

3x = 136

x = 136/3

x = 45 1/3

each side is about 45 1/3 cm

measurement 6 is 126
find measurement 1 and 4

Answers

Step-by-step explanation:

just stop wasting ur pionts

Matthew poured 28 quart of lemonade from a pitcher into a smaller container. There was 58 quart left in the pitcher. What amount of lemonade did Matthew originally have in the pitcher?

Answers

Answer:

86 quarts

Step-by-step explanation:

If you took away 28 quarts and were left with 58 quarts then you add the two numbers to get 86 quarts which is what you started with.

So the way your wording it, he originally had 86 quarts of lemonade

What is the answer to, one half of 9?

Answers

Answer:

4.5

Step-by-step explanation:

One half of 9 = 9/2 = 4.5

whats the answer can someone answer please​

Answers

Answer:

b

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

3 is being distributed into x and 3 inside the parenthesis. So it is distributive property.

Cliff earns $15 for each hour that he works as a television sales person plus an additional $10 for each television that he sells which of the following represents the amount cliff earns , in dollars, if he sells n television and works h hours ?

Answers

Answer:

15h+10n

Step-by-step explanation:

You forgot to list the equations.

10 * n = 10n = $ paid for amount of televisions sold

15 * h = 15h = $ paid for hours worked

15h + 10n = Total amount paid

The answer for n television sold and h hours working is 15h  +10n.

Expression:

An expression is an algebraic or mathematical statement in which some variable and constant are arranges with any algebraic operations

Given that

Cliff earned for one hour = $15

Therefore for h hours = 15h

Also he earned additional for each television sold = $10

Therefore for n television sold = 10n

How to add the algebraic terms?

Here 15h and 10n are two algebraic numbers because there is constants 15 and 10 and variables h and n are multiplied simultaneously.

Therefore the total earning is the addition of both

15h + 10n

The final answer is 15h + 10n

Learn more about expression here-

https://brainly.com/question/4344214

#SPJ2

Please answer the question on the following screenshot

Answers

Answer:

E

Step-by-step explanation:

Consider two congruent square prisms each rectangular face of prism A has a width of 2x+3 and each rectangular face of prism B had a length of 4x+6 if each rectangular face of prism A has and area of 25x+25 what is the volume of prism B (round to the nearest whole number)

Answers

Answer:

Step-by-step explanation:

prism A side area is square of side length

(2x + 3)² = 25x + 25

4x² + 12x + 9 = 25x + 25

4x² - 13x - 16 = 0

x = (13 ±√(13² - 4(4)(-16))) / (2(4))

positive answer is

x = (13 +√425)/8 which is approximately 4.20194...

so side length of B is

4((13 +√425)/8) + 6  which is approximately 22.80776...

Volume is side length cubed

V = (4((13 +√425)/8) + 6)³ which is approximately 11,864.4643...

V = 11,864 units³

Solve it ( i'll select u as brainlist )

Answers

Answer:

b is ur answer

Step-by-step explanation

hope this helps :)

32 is 40 percent of what number? A 12.8 B 128 C 114 D 124​

Answers

Answer: C

.Step-by-step explanation:

it was right for me so if its wrong im sorry :)

The following statement is from the contract Peter signed with his Homeowner's Association (HOA).

"Overnight parking on community streets is prohibited. For the purpose of this contract, 'overnight' will be defined as the hours between 11:00 p.m. and 4:00 a.m. The HOA will monitor overnight parking not less than once every calendar week with nightly patrols by community security.

"In the event a car is found parked on community streets overnight and that ownership of the offending car can accurately be verified as a community homeowner, the homeowner will receive one (1) written warning asking him or her to correct the situation. A second and third infraction by the same homeowner, whether or not it is with the same car, will result in a monetary fine as permitted by CC&R guidelines and HOA bylaws. Further infractions (past 3) will result in monetary fines in addition to the towing of the car at the homeowner's expense."

Because of the extremely low ground effects and body profile on his racing car, Peter is unable to drive his car off of the street and onto the driveway. He has parked on the street overnight for the past five weeks. He has received one written warning and one monetary fine from the HOA. What consequences should Peter expect after this week's security check?
a.
His car will be towed.
b.
He will receive another monetary fine.
c.
He will receive a monetary fine and his car will be towed.
d.
A "boot" will be place on his car to prevent him from driving it.

Answers

AAAAAAAAAAAAAAAAAAAAAAAAAAAAA

Please please help please help me help please help me

Answers

Your equation should be y= 9/10x-5
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