-3(x-4) = -9(x - 1)
X=?

Answers

Answer 1

Answer:

x = - 1/2

Step-by-step explanation:

-3(x-4) = -9(x - 1)

1. Distributive Property

-3 * x -3 *-4 = -9 * x -9 * -1

-3x + 12 = -9x + 9

Hint: 2 negatives make a postive

-3x + 12 = -9x + 9

2. Subtract 12 on both sides

-3x + 12 - 12 = -9x + 9 - 12

-3x = -9x + -3

3. Add 9x on both sides

-3x + 9x = -9x + 9x + -3

6x = -3

4. Divide both sides by 6 to isolate the variable

6x/6 = -3/6

x = - 1/2

Check:

-3(-1/2-4) = -9( -1/2- 1)

3/2 + 12 = 9/2 + 9

3/2 + 12 ( we need a common denominator so...lets make it  2 )

3/2 + 12*2/1*2

3/2 + 24/2 = 27/2 = 13 1/2 = 13. 5

Now...

9/2 + 9 ( we need a common denominator so..lets make it 2 )

9/2 + 9*2/1*2

9/2 + 18/2 = 27/2 = 13 1/2 = 13.5

13.5 = 13.5 CORRECT!

27/2 = improper fraction

13 1/2 = mixed number

13.5= decimal form

Hope this helped


Related Questions

Ayliah is 7 years more than 1/2 of Deb's age
use x for the variable

Answers

Answer:

The expression [tex]\frac{1}{2}x+7[/tex] can be used to find Ayliah's age.

Step-by-step explanation:

Given statement is:

Ayliah is 7 years more than 1/2 of Deb's age.

Let,

x represent Deb's age.

The expression for Ayliah's age would be;

7 more means addition.

Ayliah's age = [tex]\frac{1}{2}x+7[/tex]

Hence,

The expression [tex]\frac{1}{2}x+7[/tex] can be used to find Ayliah's age.

Solve for x.

a. 16
b. 11
c. 6

Answers

the answer is c. 6

a triangles angles must add up to 180 degrees. 70+60=130 so 180-130=50. so the last angle is 50 degrees. then u set up 8x+2=50 and solve.
C!!!!!!!!!!!!!!!!!!!!

the ratio of the measures of the side lengths of a quadrilateral is 2:3:5:4. the perimeter is 154 feet. find the length of the shortest side.

Answers

God is with you have faith and he will come through for you

HELP PLS!!!!!!!!! :DD

Answers

Step-by-step explanation:

1 minute = 90 words

3.5 minutes = 90 * 3.5 = 315 words.

Hence Jim can type 315 words in 3.5 minutes.

Step-by-step explanation:

one minute equal 60s

3.5 minutes means 3 and half a minute

3 minute = 180s

1/2 minute =30s

therefore 3.5minutes = 210s

60s ----- 90words1s ------ 90/60= 3/2 =1.5words210s ------ 315words

Does the sum of -21 and 12 equal 0?

Answers

No the sum is -21 is bigger than 12 because

Greatest Common Factor Find the GCF of the given expression: 4x2+28x When providing your answer, do not add any unnecessary spaces. Example: 2(x-1) ​

Answers

Answer:

4x(x+7)

Step-by-step explanation:

Both 4x^2 and 28x are divisible by 4x, which is also the GCF. This means you just have to divide the different parts of the expression to get 4x(x+7)

The Greatest Common Factor of the given expression 4x² + 28x will be 4x.

What is the greatest common factor?

Simply said, it is the biggest common element. The highest consistent element in the above example is 15, making 15 the greatest common factor amongst 15, 30, and 105. The biggest chunk of the common factors is called the "Greatest Common Factor" (of two or more numbers).

The expression is given below.

⇒ 4x² + 28x

Take common 4x from both the terms, then we have

⇒ 4x² + 28x

⇒ 4x(x + 7)

The Greatest Common Factor of the given expression 4x² + 28x will be 4x.

More about the greatest common factor link is given below.

https://brainly.com/question/11221202

#SPJ2

Samuel deposits $100 in a high-interest account that has an interest rate of 10% compounded annually. Samuel decides to neither add to nor withdraw money from the account for the next 10 years. How much will be in his account in 3 years? How long will it take to accumulate $61 in interest?

Answers

After 3 years, $130 will be in his account. 100(1.3) = 130. To get $61, it will take 6.1 years, or 6 years and 2 months.

Answer:

In 3 years, the value of Samuel’s account will be approximately $133

It will take about 5 years for Samuel’s account to earn $61 in interest.

Step-by-step explanation:

edmentum

what is the slope intercept equation of the line below (0, 4) (2, -2)

Answers

Answer:

2 text wen u here

Step-by-step explanation:

Answer:

y = -3x + 4

Step-by-step explanation:

Find slope:

(-2 - 4)/(2 - 0)

-6/2 = -3

y = -3x + b

Plug in a point for x and y:

4 = -3(0) + b

b = 4

y = -3x + 4

Please help me 19 points for whoever answers number 3

Answers

15%

amount error is guess subtract actual amount 198-172 = 26
26/172 = 0.15
0.15 x100 = 15%
15% the person above is correct

Solve the following quadratic equation by rearranging and then factorising x^2 + 7x + 19 = 9

Answers

Answer:

your lucky you did have a online lessons earlll

Step-by-step explanation:

The following are the temperatures in °C for the first 14 days of January:

-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5

Answer:

x = -5   & x = -2

Step-by-step explanation:

x^2 + 7x +10 = 0  you takeaway 9 as quadratic equations have to equal 0

(x+5)(x+2) = 0    you find 2 numbers that go into 10 that add to make 7 and multiply to make 10

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

I need helpn asap , i been on this for the longest

Answers

Answer:

12,180g

Step-by-step explanation:

3x7=21

21x580g=12,180g

12.18 kilograms

she used 580 grams each day for each day of the week. so first do 580 X 7 =4060. then multiply 4060 by 3 because it was for three weeks. you then have 12180 grams. to go from grams to kilograms you need to divide the grams by 1000. so 12180/1000=12.18 :) i hope this helped

5h=srt solve for t please help

Answers

Answer:

5h/sr=t

Step-by-step explanation:

To get t alone basically all you do is divide 5h by s and r.

So the new equation would be 5h / sr = t

sweater regularly priced for $84 is placed on sale for $67.20. What is the percent discount?

Answers

Answer:  20% discount

Work Shown:

amount saved = 84-67.20 = 16.80 dollars

Divide this over the original larger price to get 16.80/84 = 0.20 = 20%

Note how 20% of 84 = 0.20*84 = 16.80 to help check the answer.

Or we can say 0.80*84 = 67.20 which also helps confirm the answer.

The 0.80 is from the fact that you save 20% but still have to pay the remaining 80%

1/2 divided 4
1/5 divided 2
1/3 divided 5
1/4 divided 4



1/2 divided 3

Answers

Answer:

8

10

15

16

6

dividing by a fraction with a numerator of one, is the same as multiplying by the denominator

Step-by-step explanation:

I hope this helps :)

8
10
15
16
You have to count how many times the number fits in the other number.
Convert the fractions I=into decimal places or just times the numerator and number together.

Suppose that y varies directly with x and inversely with z, and y = 8 when x = 4 and z =
4. Write the equation that models the relationship. Then find y when x = 9 and z=3

Answers

Answer:

yes

Step-by-step explanation: yes

what is 1/3 divided by 7

Answers

Answer:

1/21

Step-by-step explanation:

1/21 is the fraction form

find the value of x please

Answers

Answer:

27

Step-by-step explanation:

744564564564646464656

The answer you’re looking for is 27

Jessica wants to buy a new chair that has a regular price of $75.00. This week the chair will be on sale at a 12% discount.
How much money will Jessica save if she buys the chair this week?

Answers

Answer:

$9

Step-by-step explanation:

She will save $9 because the amount 75 so 12% of 75 is 9 and that 9 is the amount you save.

Geometry
I’ll mark brainiest crown thing only for the correct answer tho

Answers

Answer: i think it is ASA

Step-by-step explanation:

X, Y and Z are three points on a map. Y is 75km and on a bearing of 200° from X. Z is on a bearing of 150°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP.

Answers

Answer:

The distance between X and Z is approximately 114.9 km

Step-by-step explanation:

The given parameters are;

The distance of Y from X = 75 km

The bearing of Y from X = 200°

The bearing of Z from Y = 150°

The bearing of Z from X = 180°

In triangle XYZ, we have;

∠YZX = 180° - (130° + 20°) = 30°

By sine rule, we have;

(75 km)/sin(30°) = XZ/(sin(130°))

XZ = sin(130°) × (75 km)/sin(30°) ≈ 114.9 km

The distance between X and Z ≈ 114.9 km. to one decimal place.

I don’t know how to do this can someone help?

Answers

Answer:

i think its B cause 4 was the radius

Step-by-step explanation:

If x=12 what is that value of 5(x-4)

Answers

Answer: 40

Step-by-step explanation:

You need to plug in 12 for x

5(12 - 4) = 5 x 8 = 40

The following table represents a proportional relation. Find the missing values:

x 0 1 2 3 4
y
13.2

Answers

Answer:16288.xy

Step-by-step explanation:

Help this is urgent!​

Answers

Answer:

well from what I see this is boring

Help ASAP don't spam please, its about exponents

Answers

Answer:

C

Step-by-step explanation:

3^pi is equal to 31

5^squareroot of 2 is equal too 10

4^squareroot of 11 is equal too 99

2^squareroot of 5 is equal to 5

Andy found these used cars prices in the newspaper.

Answers

Answer:

11,000

Step-by-step explanation:

Average or Mean= sum of goods/ total number of goods

Average= 6,000+12,000+20,000+8,000+9,000/5

= 55,000/5

= 11,000

55% of the cookies Joel baked had chocolate chips. If Joel baked 77 cookies with chocolate chips, how many cookies did he bake?

Answers

Answer:

140 cookies

Step-by-step explanation:

To solve this question all we have to do is divide 77 by 0.55

Why 0.55 because 0.55 is the decimal version of 55%

once we divide 77 by 0.55 that will give us our answer of 140 cookies.

Now to check our answer:

If Joel made 140 cookies and 77 of those cookies are chocolate chip that would leave us with 63 cookies without chocolate chips. If we estimate our answer then 63 cookies would make total sense since we know that 55% = 77

then the other 45% would have to equal around 60-70 cookies

plz mark me brainliest if correct :)

HELP ASAP!! SOMEONE DO NUMBER 7 AND 8. ILL GIVE BRAINLIEST

Answers

Answer:

3.6 3/6 3.6 percent 3:6

Step-by-step explanation:

10:9

15:14

20:19

Answer:

7.  3:6, 3/9 (or 6/9), .33..... (or .66......), 33.3......% (or 66.6.....7)

8. 10 roses, 8 daisies, 10:8 ratio

15 roses, 13 daisies, 15:13 ratio

20 roses, 16 daisies, 20:16 ratio

( the 15 roses part was hard so if its wrong im sorry)

A recipe uses 5 cups of milk to make 30 servings. If the same amount of milk is used for each serving, how many servings can be made from one quart?
1 gallon = 4 quarts, 1 quart = 2 pints, 1 pint = 2 cups, 1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?

Answers

Answer:

is 6 a choice if so that is the correct answer:)

Step-by-step explanation:

bc ik

Answer:

For the first part the answer is we will to find the number of servings for 8 cups.

The second and finnal answer is 16 servings

Step-by-step explanation:

2 quarts x 2 = 4 pints x 2 = 8 cups

5 cups per 10 servings unit rate is 1:2 X 8 = 8:16, Therfore 16 servings.

Glad I could help! :)

a ladder leans against the side of a house. The angle of elevation of the ladder is 72 degrees, and the top of the ladder is 13 ft above the ground. Find the distance from the bottom of the ladder to the side of the house. Round your answer to the nearest tenth.



I do not know math to save my life.

Answers

Answer:

The distance measure is 4.2 ft

Step-by-step explanation:

Here, we want to get the distance from the bottom of the ladder to the side of the house

To get this, we can see that what we have is a right-angled triangle

We need to apply the appropriate trigonometric identity to get the value of what we want

Let us call the measure we want to calculate x

Mathematically;

Tan 72 = 13/x

x = 13/tan 72

x = 4.2 ft

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