Expand: -1/3(-2x-21)

Answers

Answer 1

Answer:

Step-by-step explanation:

Simplifying

3(2x + -1) = 21

Reorder the terms:

3(-1 + 2x) = 21

(-1 * 3 + 2x * 3) = 21

(-3 + 6x) = 21

Solving

-3 + 6x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 6x = 21 + 3

Combine like terms: -3 + 3 = 0

0 + 6x = 21 + 3

6x = 21 + 3

Combine like terms: 21 + 3 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

Answer 2

Answer:

2/3x + 7s

Step-by-step explanation:

-1/3 ( -2x - 21) = -1/3 * (-2x) - (-1/3) * 21 = 2/3x - (-7) = 2/3x + 7s


Related Questions

48/13 as a decimal rounded to the nearest tenth

Answers

Answer:

3.7

Round 5 up

Answer:

as decimal is approximately: 3.69231

Step-by-step explanation:

Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid).The building has a 64 × 64 m square base and is 36 m tall. The cut off section has a 16 × 16 m, square base and is 12 m tall. What is the volume of the buliding?

Answers

Answer:

65,536−1,024

which = 64,512 m^3

Step-by-step explanation:

I took the test!

The volume of the building shaped like a pyramid that's cut off in a plane parallel to its base is  64512 m³

Volume of a pyramid

volume of a pyramid = 1 / 3 Bh

where

B = base areah = height of the pyramid

Therefore,

volume of the building = volume of the whole figure - volume of the cut part

volume of the whole figure = 1 / 3 × (64 × 64) × (12 + 36)

volume of the whole figure = 65536 m³

volume of the cut part = 1 / 3 × (16 × 16) × (12)

volume of the cut part = 1024 m³

Therefore,

volume of the building = 65536 - 1024 = 64512 m³

learn more on pyramid here: https://brainly.com/question/21378886?referrer=searchResults

#SPJ2

PLEASE HELP ASAP, will mark brainliest

Answers

Answer: I think you have to start at 10 and go up i may be wrong but i think you get your answer that ay if I'm right

Step-by-step explanation:

Answer:

You go up ten spaces and then you get the placements of the letters

Step-by-step explanation:

the price of 2_mangoes are 10 rupees. what is the price of one mango?​

Answers

10 divided by 2 is 5
So one mango is 5 rupees

18 points!!!!! Help please I’ve a got a test tomorrow and I have not revised so please some one help... if you have answered it please can you stay to help the rest

Answers

Answer:

x = (-b±(√b²-4ac))/2a

Step-by-step explanation:

Here's a mnemonic I use to remember the quadratic formula:

The bad (negative) boy was deciding (plus or minus) whether to go to a radical (radical) party or be squared (b²) and miss out (minus) on four awesome chicks<-- don't really like that word, I use creatures lol (4ac) and the party was over at 2 AM (all over 2a).

Factor the expression: 12r-12

Answers

Answer:

12 (r-1)

Step-by-step explanation:

Both terms have 12 as a common factor, so you can factor it out.

Answer  And  explanation :

common factor

12—12

12(r—1)

solution:

12(r—1)

What fraction of an hour is 18 minutes?
Give your answer in its simplest form.

Answers

Answer:

3/10

Step-by-step explanation:

An hour is 60 mins

so the fraction would be 18/60

Then you can divide both numbers by 6 to 3/10

The answer is 10/3

is 3 1/2 greater than 1 1/15

Answers

Answer:

Yes

Step-by-step explanation:

The whole number in 3 1/2 is 3

the whole number in 1 1/15 is 1

Since 1 1/15 isn't an improper fraction, if it's whole number is smaller then the whole fraction is smaller

since 3>1, 3 1/2 is greater than 1 1/15

Answer:

31/2 > 11/15

Step-by-step explanation:

Question: Is 31/2 greater than 11/15 ?

To solve this let us convert the fractions to decimals.

31/2 = 15.5

11/15 = 0.733

With a look we can easily say that 31/2 is indeed greater than 11/15.

So, 31/2 > 11/15.

Tina has an old fish tank in the shape of a circular cylinder. The tank is 2 feet in diameter and 6 feet high. How many cubic feet of water does it hold?

Answers

Answer:

The tank can hold 18.84 cubic feet

Step-by-step explanation:

Given

Shape: Cylinder

[tex]D = 2ft[/tex] -- Diameter

[tex]H = 6ft[/tex] -- Height

Required

Determine the volume

First, calculate the radius (r)

[tex]r = \frac{1}{2}D[/tex]

[tex]r = \frac{1}{2}*2ft[/tex]

[tex]r = 1ft[/tex]

The volume (V) of the tank is:

[tex]V = \pi r^2h[/tex]

Substitute values for r and h

[tex]V = 3.14 *1^2*6[/tex]

[tex]V = 3.14 *1*6[/tex]

[tex]V = 18.84[/tex]

Hence, the tank can hold 18.84 cubic feet

Which of the following expressions represents a value greater than 4/5 ?

Answers

Answer:

For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). ... Since 25 is greater than 24, 25/30 (or originally 5/6) is the larger fraction

Step-by-step explantion

Compare fractions with the same denominator by determining the relationship between the numerators. For example, 3/5 is less than 4/5 because 3 is less than 4

Directions: Each quadrilateral below is a parallelogram. Find the missing measures.
Will give brainliest for full answer

Answers

Answer:

1. ST = 3, VT = 10, Angle v = 48, Angle T = 132

2. GH = 13, FG = 20, Angle F = 78, Angle G = 102, Angle H = 78

Step-by-step explanation:

In a parallelogram:

Opposite sides and angles are congruent or equal each other

Consecutive angles (angles right next to each other) equal 180.

HELP PLZ
What is the equation of a line perpendicular to the x-
axis that passes through the point (-5,-1)? What is the
slope of this line?

Answers

Answer:

The equation is x = -5

The slope is 0

Step-by-step explanation:

If the line is perpendicular to the x axis, that means it is a vertical line.

Vertical lines only reach one x value, which is -5 in this case.

So, the equation will simply be x = -5.

The slope is 0.

Can you solve number 1 please.

Answers

slope of f is 5
f(x) = 5x + 2
y= mx + b (linear equation)
m = slope b = y-int

slope of g is 2
Slope formula = change in y
——————
change in x
1. Pick two points
I choose (3,3) and (4,5)
(3,3) —-> (x1,y1)
(4,5) —-> (x2,y2)

y2 - y1 5 - 3
———- = ————- = 2
x2 - x1. 4 - 3

Here is a list of four fractions.
9
27
15
45
6
옭 름 틂
One of these fractions is not equivalent to 1
Write down this fraction,

Answers

Step-by-step explanation:

[tex] \frac{1}{3} = \frac{9}{27} =\frac{2}{6}= \frac{15}{45} [/tex]

=5/18

The answer to the problem is 5/18

A shipping container will be used to transport several 70-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23500 kilograms. Other shipments weighing 9700 kilograms have already been loaded into the container. What is the greatest number of 70-kilogram crates that can be loaded into the shipping container?

Answers

Subtract what has already been loaded from total amount allowed:

23500 - 9700 = 13,800

Divide the amount left by the weight of each crate:

13,800 / 70 = 197.14

They can load 197 crates.

i need help im doing make up work

Answers

Answer:

thats a non-linear function

Step-by-step explanation:

the line is not straight

The question is in the picture

Answers

Answer:

the last answer

Step-by-step explanation:

Please do this, after this I can be free for today and have fun

Answers

The answer is y= 35 + 4x because 35 reprints the original amount of the employees and the 4 is how much is added each month

Find the remainder when x^100 - x^99 + x^98 − · · · − x + 1 is divided by x + 1.

Answers

Answer:

The remainder is 101.

Step-by-step explanation:

We are dividing:

[tex](x^{100}-x^{99}+x^{98}...-x+1)\div(x+1)[/tex]

By the Polynomial Remainder Theorem, if we are dividing a polynomial P(x) by a binomial in the form (x - a), the our remainder will be P(a).

The divisor is (x + 1). Therefore, our a = -1.

Then the remainder will be:

[tex]P(-1)[/tex]

We can rewrite our polynomial as:

[tex]P(x)=-(x^{99}+x^{97}...+x^3+x)+(x^{100}+x^{98}...+x^2)+1[/tex]

Each of the parentheses contain fifty terms. -1 to any odd power is -1, and -1 to any even power is 1. Therefore:

[tex]P(-1)=-(-50)+(50)+1[/tex]

Evaluate:

[tex]P(-1)=101[/tex]

The remainder is 101.

Answer:

The Answer is 101

Step-by-step explanation:

101 is how much is remaining

6. 22 ounce box of Cheerios cost $2.79. A 32 ounce box of Wheaties cost $3.50. Which box is more expensive per ounce? Find cost per ounce.

Answers

Answer:

The cheerios are more expensive per ounce

Step-by-step explanation:

6. 22 ounce box of Cheerios cost $2.79---$0.45

A 32 ounce box of Wheaties cost $3.50----$0.11

2.79/6.22 =0.45

3.50/32 = 0.11

Suppose your school costs for this term were $4780 and financial aid covered 3/4 of that amount. How much did financial aid cover? How much do you still have to pay?

Answers

Answer: Amount covered by financial aid=$3,585

Amount left that you have to pay =$1,195

Step-by-step explanation:

School cost for the term = $4780

Amount covered by financial aid = 3/4 of $4780

= 3/4 x 4780

Amount left that you have to pay=School cost for the term -Amount covered by financial aid

= $4,780 - $3,585

Amount left that you have to pay =$1,195

please help!


write y-7=3(x+4) in standard form

Answers

Answer:

Step-by-step explanation:

The standard form of a line is ax+by=c

y-7=3(x+4)

y-7=3x+12

y-3x-7=12

y-3x=19

y-7=3(x+4)

y-7=3x+12

y=3x+12-7

y=3x+5

Eyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. How much money did Leyan spend on tomatoes?

Answers

Answer:

the  money spend on tomatoes is $4.20

Step-by-step explanation:

The computation of the money spend on tomatoes is shown below

Let the money spend on tomatoes be x

So

[tex]2 \frac{3}{4} \times \$1.32 + 1\frac{1}{2} \times \$1.20 + x = \$9.63\\\\[/tex]

$3.63 + $1.80  + x = $9.63

x = $9.63 - $3.63 + $1.80

= $4.20

Hence, the  money spend on tomatoes is $4.20

18 (03.06 MC
are filled the glass shown below.comeletely with water. The total amount of water that you poured into the glasses a 120 cubic centimeters. What is the height of glass 17 Round your new to the nearest hundreditres (2.14.) Note that all
mentre comers and images are not to scale (pont)
.

Answers

Answer:

sasuke

Step-by-step explanation:

B is The power W produced in an electrical circuit is directly proportional to the current I that flows through the circuit.  If a power of 750 watts is produced by a current of 9 amps, what power would be produced by a current of 6 amps?

please answer and make sure youre right i got a 50

Answers

Answer and Step-by-step explanation:

First, let's solve for z.

3z - 1 ≥ -7

We add 1 to both sides.

3z ≥ -6

Now we divide both sides by 3.

z ≥ -2

Since we got this as our answer, that means  Answer choice D is the correct answer.

#teamtrees #WAP (Water And Plant)

What is the vertex of f(x) = 3(x+2)^2 -1

Answers

Answer:

[tex]The~vertex~of~parabola~f(x) = a(x-h)^2+k~is~(h,k).\\Given~equation~of~parabola~is:\\f(x) = 3(x+2)^2-1\\So,~ h =-2 ~and~k=-1\\Therefore,~(-2,-1)~is~the~vertex~of~parabola.[/tex]

Multiply. Assume t is greater than or equal to zero, and write your answer in simplest form.

Answers

Answer:

t is greater than or equal to 0:

[tex] t \: \geqslant 0[/tex]

In Kailah's class the ratio of girls to boys is 13 to 8. If there were 16 boys, how many girls will there be?

Answers

Answer:

I believe that the answer is 26

Step-by-step explanation:

The ratio of girls to boys is 13 to 8 so there are 13 girls for every 8 boys so if there are 16 boys (8X2) then there are 26 girls (13X2)

i think 22.
there are 5 more girls than boy with 13:8

The circumference of a pizza is 12in. What is the Area?

Answers

Answer:

113.04 square inches

Step-by-step explanation:

valor numerico
10x para x= -3

Answers

Answer: -30

Step-by-step explanation:

multiplicación simple 10(-3) = -30

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