10x - (2x + 9) = -3 (15 - 4x)

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

First, distribute the negative sign, changing (2x+9) to -2x-9

next, distribute. 10x+−2x+−9=(−3)(15)+(−3)(−4x)

then, combine like the like terms  (10x+−2x)+(−9)=12x−45

then you get  8x+−9=12x−45, and you will subtract 12x from both sides, resulting in −4x−9=−45. To get -4x by itself, add 9 to both sides

lastly, divide both sides by -4

x=9

Answer 2

Answer:

x = 9

Step-by-step explanation:

Distribute

10x - (2x + 9) = -3 (15 - 4x)

10 − 2 − 9 = − 3 (15 − 4)

Combine like terms

8 − 9 = − 3 (15 − 4 )

Rearrange terms

8 − 9 = − 3 (− 4 + 15)

Distribute

8 − 9 = 12 − 45

Add 9 to both sides of the equation

8 − 9 + 9 = 12 − 45 + 9


Related Questions

The anderson family has many pets.They have 5 dogs,3 cats, and 2 rabbits.The ratio compare the number of rabbits to the number of dogs is _____ to _____

Answers

Answer: 2:5

Step-by-step explanation: There are 2 rabbits and 5 dogs.

HELP ASAP

An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in
dollars and C be the charge of the online auction. Explain whether the solutions A = -5 and C=1.1 are viable. (1 point)
O The solutions are not viable because the amount of the sale cannot be negative.
O The solutions are viable because the amount charged is positive.
O The solutions are not viable because the amount charged is not a whole number
O The solutions are viable because the amount of the sale is an integer.

Answers

Answer: The solutions are not viable because the amount of the sale cannot be negative.

Step-by-step explanation:

The solution A = -5 is not viable because A represents the amount of sale in dollars and so cannot be a negative number. The minimum amount that a person can make from sales is $0 so anything less than that is not viable.

For instance, if you are selling shoes for $4 each and make no sales in the day, your sales would be $0. It is not possible that your sales would be -$4.

Today Yumaira sold twice as many bags of popcorn at the ball game as she sold last Saturday. In the 2 days she sold a total of 96 bags. Find The number of bags of popcorn sold today and how many popcorn bags were sold on Saturday.

Answers

Answer:

32 bags we sold last Saturday, and 64 today.

Step-by-step explanation:

So first, we make a ratio. 2:1, as she sold twice as much. yo could also write it in an equation; 2x+x=96. in both, we see that 3x is equal to 96, and so, x would be equal to 32. to find how many she sold today, multiply that number by 2, to get 64. Hope this helped :)

Mica plans to run 78 miles in 3 weeks. If he continues the​ pattern, how many miles will he run in 2​ years? Explain. Note that 1 year52 weeks.
Write and solve an equation to find how many miles Mica runs each week. Select the correct choice​ below, and fill in the answer box to complete your choice.

Answers

You first have to divide 78 by 3 to get 26 miles every week. Then multiply 26 and 52 to get 1,352 miles for the year. Here’s my equation: 78/3= 26 26•52 = 1,352 miles

15 points and brainliest for the answer


the triangles below are similar

which statement about the triangles is true?
F. the corresponding angles are congruent, and the corresponding sides are proportional
G. the corresponding angles are congruent, and the corresponding sides are congruent
H. the corresponding angles are proportional, and the corresponding sides are proportional
J. the corresponding angles are proportional, and the corresponding sides are congruent

Answers

Answer:

I believe the answer is J. the corresponding angles are proportional, and the corresponding sides are congruent

Step-by-step explanation:

hope this helps :)

If the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct,

What is the similarity law for triangles?

It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

Thus, if the triangles below are similar the corresponding angles are proportional, and the corresponding sides are congruent. Option J is correct.

Learn more about the similarity of triangles here:

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An animal shelter currently has 40 cats in it. Next month they expect the number of cats to increase by 15% over the number this month. Which of the following is the number of cats they expect next month

Answers

Answer:

46

Step-by-step explanation:

15% of 40 is 6 so you add 6 to 40

Answer:46

Step-by-step explanation:

15% of 40=?

multiply 15 by 40 and divide by 100

15 * 40 / 100 = 6

add 6 to 40

40+6=46

Therefore, the number of cats that they expect is 46.

I need help on a math assignment.

Answers

Answer:

(18 , - 10)

Step-by-step explanation:

5x + 4y = 50 .... (1)

x + 2y = - 2 ... (2)

Solve (2) for "x"

x = - 2y - 2 .... (3)

(3) ----> (1)

5(- 2y - 2) + 4y = 50 ⇔ - 6y - 10 = 50 ⇒ y = - 10 .... (4)

(4) ----> (2)

x + 2(- 10) = - 2 ⇒ x = 18

(18, - 10)

the answer is (18, -7). Hope this helps :)

Adding & Subtracting Polynomials need help

Answers

Answer:

aisuejejrfjtntn

Step-by-step explanation:

You select a card at random. The cards are labeled with the word "Probability" as seen below. Without replacing each card, you choose a second card. P(consonant then vowel) =

Answers

Answer:

[tex]P(Consonant\ then\ Vowel) = \frac{14}{55}[/tex]

Step-by-step explanation:

Given

Word: PROBABILITY

[tex]n(Word) = 11[/tex]

Required

Determine P(Consonant then Vowel)

Frist we need to list out the consonants;

Consonants = PRBBLTY

[tex]n(Consonants) = 7[/tex]

Then Vowels

Vowels = OAII

[tex]n(Vowels) = 4[/tex]

[tex]P(Consonant\ then\ Vowel) = P(Consonants)\ and\ P(Vowels)[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{n(Consonants)}{n(Words)} \ and\ \frac{n(Vowels)}{n(Words) - 1}[/tex]

We used n(words) - 1 for the vowels because it's probability without replacement. So, when the consonant is picked, the length of letters reduced by 1

So, we have:

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ and\ \frac{4}{11 - 1}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ *\ \frac{4}{10}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{7}{11} \ *\ \frac{2}{5}[/tex]

[tex]P(Consonant\ then\ Vowel) = \frac{14}{55}[/tex]

Evaluate: 476.8 - 54.32 + 16.54 - (-12.23)

A) 559.89

B) 410.25

C) 426.79

D) 451.25
NEED HELP ASAP

Answers

The answer is D I’m almost 100% sure

Are the ratios 18:9 and 7:6 the same?

Answers

Answer:

No there not the same

Step-by-step explanation:

There are not equivalents to each other the answer would be 2:1

Describe how to evaluate and then evaluate
the following power: 81 3/2​

Answers

Answer:729

Step-by-step explanation:

81^3/2

(3^4)^3/2

3^6

729

Find the unknown value in the proportion. round to the nearest tenth if needed. 13/15=52/?​

Answers

Answer:

13/15 = 52/60

: Hope this helps.

HELP, x/45 = 55/100?

Answers

Answer:

Step-by-step explanation:

x/45=55/100

x=99/4 or 24.75 or 24 3/4  All three are the same.

Answer:

24 3/4

Step-by-step explanation:

Simplify 55/100

=11/20

11/20=x/45

Use Butterfly Method

45*11=20x

Solve

x=24.75

Choose the appropriate transformation for the figure
Picture above ***

Answers

Answer :

Rotation :)

Jeffrey earned $65 doing yard work. He bought a pair of jeans for $31.25 and a sweatshirt for $16.50.He set aside the money left from his shopping trip to buy a gift for his cousin. How much money did he set aside for the gift?

Answers

Answer:

$17.25

Step-by-step explanation:

Jeffrey earned $65 doing yard work.

He bought a pair of jeans costs = $31.25

and a sweatshirt costs = $16.50

Total amount he spent = 31.25 + 16.50 = $47.75

Now he left with money from his shopping = $65.00 - $47.75

= $17.25

Jeffrey set aside $17.25 for the gift.

Write as a sentence as a proportion. Then solve the proportions 5 is to 12 as is to 48

Answers

5:12

x:48

the answer is 20

Dan deposited $700 in a savings account. At the end of 3 year, he had earned $115.50 in simple interest. What interest rate did he receive? Question 1 options:

Answers

Answer:

5.5%

Step-by-step explanation:

The formula for Simple Interest = PRT

Where

Simple Interest = $115.50

P = Principal = $700

R = Interest rate = ??

T = Time in years = 3 years

$115.50 = $700 × R × 3

R = $115.50/$700 × 3

R = $115.50/$2100

R = 0.055

R = Interest rate = 0.055

We Multiply by 100

= 0.055 × 100

= 5.5%

Jesus is the son, the spirit, and the Living of God! ...

Answers

Answer:

Yessir he's coming soon

Step-by-step explanation:

Need help ASAP Select all numbers that are irrational

Answers

Answer:

The 3rd and 4th ones :))

The only irrational number there is π.

Complete the like terms to create an equvalent expression:
-4r - 2r + 5

Answers

-6r+5
the two like terms are the ones with R. combine -4r and -2r to get -6r


What is the slope of a line with the equation y = -x + 6?

Answers

ANSWER

slope= -1/1 or -1

Del has 12 less than 3 times the number of comic books as Patrick. Del has at most 57 comic books. What solution represents the number of comic books, b, Patrick can have?

Answers

Answer:

Del has 19 comic book

Step-by-step explanation:

to figure this out we need to take 57 and divide by the 3 given.

57 ÷ 3 = 19

so because we divided 57 by 3 we know the answer is 19

Del has 19 comic books

Which expressions can be simplified as StartFraction 625 Over n Superscript 12 Baseline EndFraction? Check all that apply.

Answers

Answer:

A and E

Step-by-step explanation:

(5n^-3)^4= A    (25n^-6)^2=E

Answer:

A and E  ФωФ

Step-by-step explanation:

he distance between 314 and −134

Answers

Answer:

i am pretty sure its 180

Step-by-step explanation:

mark me brainliest plz so close to next rank

What is the determinant of an identity matrix?
–10
–1
0
1

Answers

Answer:

The determinant of the identity matrix In is always 1, and its trace is equal to n.

Step-by-step explanation: that determinant is equal to the determinant of an N minus 1 by n minus 1 identity matrix which then would have n minus 1 ones down its diagonal and zeros off its diagonal.

HELP PLEASE!!!!

WILL MARK BRAINLIST IF YOU HAVE AN EXPLANATION!!

Answers

Answer:

Options B and D

Step-by-step explanation:

B.

[tex]. \\ \angle \: 1 \cong \angle 5 \\ (exterior \: alternate \: \angle s) \\ [/tex]

D.

[tex]\angle \: 1 \cong \angle 7 \\ (vertical \: \angle s) \\ [/tex]

Find the volume of a cone with the radius of 6 height of 8 and length of 10

Answers

The volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.

To find the volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h

Where π (pi) is approximately 3.14159, r is the radius of the cone, and h is the height of the cone.

In this case, the radius is given as 6 units, and the height is given as 8 units.

To calculate the volume, substitute these values into the formula:

Volume = (1/3) * 3.14159 * (6 units)^2 * 8 units

Volume = (1/3) * 3.14159 * 36 square units * 8 units

Volume ≈ 301.5928 cubic units

Therefore, the volume of the cone with a radius of 6 units, height of 8 units, and length of 10 units is approximately 301.5928 cubic units.

Learn more about volume of cone here:

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sum of angle
measures: 180
find the value of x
then find the angle measures of the polygon

Answers

Answer: X = 60 degrees.

60 + 60 + 65 - 5 = 180.

PLS HELPPP I WILL GIVE BRAINLYISTT!!!!!

Answers

Answer:

a) 3/5, 60%

b) 1/15, 0.07

c) 9:1, The ratio means that Jack had spent 9 times more money on shoes than on music, 9/1

Step-by-step explanation:

a) The ratio would be 45:75, simplifying that would be 3/5. Now,  3 divided by 5 is .6, which would be 60%.

b) This ratio would be 5:75, simplifying that would be 1/15. 1 divided by 15 is 0.0666666. Rounding it to the nearest hundreth would get you 0.07

c) The ratio of shoes money and music money would be 9:1. You can find this by making the denominators of each of the fractions the same, so 3/5 multiplied by 3 gets you 9/15. Now, you can easily compare them.

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