What is the answer of this problem -7/3(3x-2)=-21 ?

Answers

Answer 1

Answer:

= 11/3

Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

-7 (3x-2) = -21

-----------------------

3

2. DISTRIBUTE

-7( 3x- 2) ➗ 3 =-21

3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

3 ( -21x + 14) ➗ 3 (-21)

5. MULIPLY THE NUMBERS

-21x + 14 = 3(-21)

6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

-21x + 14 = -63

7. SIMPLIFY

-21x = - 77

8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

-21x/-21 = -77/-21

9. SIMPLIFY

x = 11/3


Related Questions

If AQSR: AYXZ describes two triangles, which other statement is also true?
O AQRS = AXYZ
Ο :
O AQRS = AYZX
O AQRS = AZXY
O AQRS AXZY

Answers

Answer:

D

Step-by-step explanation:

The statement that is also true is: [tex]\triangle QRS \cong \triangle YZX[/tex]

The congruence statement is given as:

[tex]\triangle QSR \cong \triangle YXZ[/tex]

The above statement means that, we have the following corresponding points

Point Q and point YPoint S and point XPoint R and point Z

The above highlights mean that:

Triangle QSR corresponds to triangle YXZ

It also means that:

Triangle QRS corresponds to triangle YZX

Hence, the correct congruency statement is: [tex]\triangle QRS \cong \triangle YZX[/tex]

Read more about congruent triangles at:

https://brainly.com/question/1675117

4+3x<=13 on a number line

Answers

Answer:

The question seems incomplete, but this statement would be true for all x below 3 (you can put any number less than 3 in it and get a true statement)

Can someone help me out I will give out brainly

Answers

Answer:

x = 2, P = 22 cm, A = 21 cm²

Step-by-step explanation:

The 2 legs of the triangle are congruent , then

6x - 4 = 8 ( add 4 to both sides )

6x = 12 ( divide both sides by 6 )

x = 2

perimeter = 8 + 8 + 6 = 22 cm

Area = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 7 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 7 = 3 × 7 = 21 cm²

Answer:

x = 2

Perimeter = 22 cm

Area = 21 cm²

Step-by-step explanation:

=> We know that the 2 side lengths of the given triangle are congruent, because of the congruency mark theorems, therefore to solve for x first, we can say;

6x - 4 = 8

6x = 8 + 4

6x = 12

x = 12/6

x = 2

Now that we know the side lengths of the triangles are 8, 8 and 6, we can find the perimeter;

Side 1 + Side 2 + Side 3 = Perimeter

8 + 8 + 6 = Perimeter

22 = Perimeter

Lastly to find the Area of the triangle, follow the formula of;

A = 1/2 (b * h)

A = 1/2 (6 * 7)

A = 1/2 (42)

Area = 21

Hope this helps!

Im taking my algebra 1 final exam today... I'm nervous. Any advice? (I'm an 8th grader taking algebra and its challenging to me)

Answers

Do your best !! Remember it doesn’t determine you just work as hard as you can

Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!

find
the
size of unknown angle​

Answers

show a pic of the angle to find the size of it!!

Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Hi, does anyone mind helping me with this pls?

Answers

Answer:

a and b

Step-by-step explanation:

they're both equal to 25%; 100 reduced by 75 is 25

Which polynomial is written in standard form?

Answers

Answer: Choice B)

-5x^3 + 9x^2 + 2x

=================================================

Explanation:

Standard form is where the largest exponent term goes first, then the next largest, and so on. The exponents are decreasing when moving from left to right.

So that's why -5x^3+9x^2+2x is in standard form. Think of the 2x at the end as 2x^1. That might help show the exponents are decreasing (3,2,1).

The largest exponent is the degree, meaning that we have a third degree polynomial (aka cubic polynomial).

The first term -5x^3 is considered the leading term and -5 is the leading coefficient.

Drag each number to show whether it is equal to 2/10, 2/100, or neither.

Answers

Answer:

20/10 goes to neither since it equals 2

0.02 goes to 2/100 since it is the same as 0.02

200 goes to neither because it is over 2/10 and 2/100

0.20 goes to 2/10 since 2/10 is equal to 0.20

2.0 goes to neither because it equals 2

Hope this helped

Step-by-step explanation:

Fill in the blanks below in order to justify whether or not the mapping shown represents a function

Answers

Answer:

not a function because -3 maps to two different values 5 and 6

Step-by-step explanation:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an
inch?

Answers

The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.

What is a sphere?

A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.

The radius of the sphere is denoted by the letter r, and the specified point represents its center.

The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.

A sphere is a solid shape that is circular, without borders.

Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.

So, the volume of the sphere formula is:

4/3πr³

We know that the volume is 72 inches.

Then calculate as follows:

72 = 4/3πr³

r³ = 72*3/4π

r = 2.58 (Approx)

Rounding off: 2.6 inches

Then the diameter would be:
2.6 * 2 = 5.2 inches

Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.


Know more about a sphere here:

https://brainly.com/question/22807400

#SPJ1

Correct question:

What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?

pls answer asap 7 - 3 r = r - 4 ( 2 + r)​

Answers

Answer:

no real answer

Step-by-step explanation:

distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r

then we have 7-3r=-8-3r

from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.

since 7 doesn't equal -8, there is no answer.

if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers

Solve for w -8.5 = 3.46 ​

Answers

Done done done, W=3.46+8.5

W=11.96!

Hit the heart if it was helpful!

Answer:

11.96

Step-by-step explanation:


Having ____ siblings is just as common as having____

Answers

C. 1, 3
They both have the same amount of X’s

Answer:

1 ; 3

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

How would you write one million as a power of 10?

Answers

Answer:

10 to the power of 6

Step-by-step explanation:

10 x 10 x 10 x 10 x 10 x 10 = 1,000,000

Answer:

[tex]10^{6}[/tex]

Step-by-step explanation:

10 multiplied by itself 6 times is 1,000,000

Please I need a quick reply​

Answers

Answer:

B

Step-by-step explanation:

It sounds most likely to the right answer

¯\_(ツ)_/¯

The correct answer is 6

Find the volume of a pyramid with a square base, where the area of the base is 19.8 cm2 and the height of the pyramid is 13.9cm. Round your answer to the nearest tenth of a cubic centimeter

Answers

Answer:

91.7 cm^3

Step-by-step explanation:

[tex]Vol=\frac{1}{3} \times base area \times height=\frac{1}{3} \times 19.8 \times 13.9= 91.7 cm^{3}[/tex]

1 is 3 . 3 is 5 . 5 is 4 . 4 is 4 .
What is 7? Explain why.

Answers

Answer:

5

Step-by-step explanation:

seven has 5 letters

5) Find the value of x

Answers

Answer:

x = 28

Step-by-step explanation:

the angle shown is a right angle

right angle = 90°

•°• (x + 6) + 56 = 90

=> x + 62 = 90

=> x = 90 - 62

=> x = 28

Answer:

28

Step-by-step explanation:

5)

(x + 6)° + 56° = 90°

x + 6 + 56 = 90

x + 62 = 90

x = 90 - 62

x = 28

Consider the equation below
-2(bx -5 ) =16

Answers

Answer:

bx = - 3

Step-by-step explanation:

- 2(bx - 5) = 16

- 2bx + 10 = 16

- 2bx + 10 - 10 = 16 - 10

- 2bx = 6

- 2bx ÷ - 2 = 6 ÷ - 2

bx = - 3

Simplify. Express the answers using positive exponents:

Help me on this, Points are 2x than they usually are.

Answers

Answer:

[tex]\frac{-1}{2}ab^{12}[/tex]

[tex]\frac{w^{10}}{3y^4}[/tex]

Step-by-step explanation:

Given the expression;

[tex]\frac{-2a^2b^4}{4ab^{-8}}\\= \frac{-2}{4}*a^{2-1}b^{4-(-8)}\\= \frac{-1}{2}ab^{12}[/tex]

Similarly for the expression;

[tex]\frac{-5w^4y^{-2}}{-15w^{-6}y^2}\\= \frac{-5}{-15}*w^{4-(-6)}y^{-2-2}\\= \frac{1}{3}w^{10}y^{-4} \\= \frac{w^{10}}{3y^4}[/tex]

100 POINTS, MARK BRAINLIEST, 1 QUESTION
Answer with a Square-root symbol. (Just say it like 5 root 2)

Answers

Answer:

Step-by-step explanation:

There are three right-angled triangles and two of them have x in their dimensions:

The largest one with one side at 48+x and another at 10

The smallest one with one side at x and another at 10

Those 2 right-angled triangles are similar because of AAA - both have a right-angle and share a common angle.

So their sides are in the same ratio:

x / 10 = 10 / (48+x)

x*(48+x) = 10*10

x^2 + 48x - 100 = 0

(x+50)*(x-2) = 0

x = -50 or 2

As length cannot be negative, x = 2

Answer:

Step-by-step explanation:

let the missing side in the upper right triangle be y

x^2 + y^2 = 10^2

let the missing side in the lower left triangle be z

48^2 + y^2 = z^2

subtracting the two eqns

48^2 - x^2 = z^2 - 10^2

z^2 = 48^2 + 10^2 - x^2

for the overall big triangle

z^2 + 10^2 = (48+x)^2

substituting

48^2 + 10^2 - x^2 + 10^2 = 48^2 + 96x + x^2

2x^2 + 96x - 200 = 0

x^2 + 48x - 100 =0

(x+50)(x-2) = 0

x=-50 or 2

rejecting the -ve soln

x=2

Please help me!!!!!!!!!

Answers

Answer:

14.4

Step-by-step explanation:

Find the measure of angle 3 if the measure of angle 2 is 40 degrees

Answers

Answer:

120 deg. is the correct answer

I REALLY NEED HELP !!!!!!!!! which of the following is the quotient of the rational expressions shown below?

Answers

Answer is B ✔✔✔✔✔✔✔✔✔✔✔

You pay $947.60 a year in car insurance. the insurance is paid in four equal payments. Find the amount of each payment.

Answers

Answer:

$236.90

Step-by-step explanation:

947.60 / 4 = 236.90

What is x
Thanks for helping

Answers

Answer:

x = 3.5

Step-by-step explanation:

2x + 5 = 12

2x = 7

x = 3.5

Hope that helped!

[tex]\sf\purple{The\:value\:of\:x\:is\:3.5.}[/tex] ✅

Step-by-step explanation:

[tex]2x + 5 = 12 \\ ⇢ 2x = 12 - 5 \\ ⇢ 2x = 7 \\ ⇢ x = \frac{7}{2} \\ ⇢ x = 3.5[/tex]

[tex]\boxed{The\:value\:of\:x\:is\:3.5.}[/tex]

[tex]{ \bf{ \underbrace{To\:verify:}}}[/tex]

[tex]2x + 5 = 12 \\ ⇝2 \times 3.5 + 5 = 12 \\ ⇝7 + 5 = 12 \\ ⇝12 = 12 \\ ⇝L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

A knitted pot holder is shaped like a circle. Its radius is 3.5 inches. What is its area?

Answers

Answer:

The area would be 38.48 square inches.

Step-by-step explanation:

With the radius being 3.5 once you solve it, the area comes out being 38.48 square inches. Hope this helps :D (also can you mark me brainliest)

Sin y+ cos y + tan y sin y=sec y+ cos y tan y?

Answers

Answer:

sec y

Step-by-step explanation:z

if 3 drinks cost $9 how much will 5 drinks cost​

Answers

Step-by-step explanation:

9/3=3

cost of 1 drink=3 dollars

5x3=15

Answer is 15

Which of the expressions will have a product with three decimal places? Check all that apply.
0.271
Х 5
1.975
56.8
II
4.2
x0.08
x 0.1
x 1.34

Answers

Answer: Its 4.2x 0.08 and 56.8x 1.34

Answer:

0.271 x 5

----

4.2 x 0.08

----

56.8 x 1.34

Step-by-step explanation:

There are 3 correct answers in total everyone.

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