solve for a. 1/3(21-3a)=6-a

Answers

Answer 1

Answer:

no solution

Step-by-step explanation:

Given

[tex]\frac{1}{3}[/tex] (21 - 3a) = 6 - a ( multiply through by 3 to clear the fraction )

21 - 3a = 18 - 3a ( subtract 21 from both sides )

- 3a = - 3 - 3a ( add 3a to both sides )

0 = - 3 ← not possible

This indicates the equation has no solution


Related Questions

1. Find the LCM of 35,14 using prime factorization.

2. Find the LCM of 15,12 using prime factorization.

3. Find the LCM of 5,9,15 using prime factorization.

4. Find the LCM of 8,10,12 Using Prime factorization.


If you answer I promise I will make you the brainiest, like and I will vote 5

Answers

Answer:

Step-by-step explanation:

1) 35 = 5 * 7

  14 = 2 * 7

LCM = 2 * 5 * 7 = 70

2)  15 = 3 * 5

    12 = 2 * 2 * 3

LCM = 2* 2 * 3 * 5 = 60

3) 5 = 5

    9 = 3 * 3

  15 = 3 * 5

LCM = 3*3 * 5 = 45

4)8 = 2 * 2 * 2 = 2³

  10 = 2 *5

   12 = 2 * 2 *3 = 2² * 3

LCM = 2³ * 3 * 5 = 120

Write 0.0007267 in scientific notation.

Answers

Answer:

7.267  ×  10  (exponent − 4)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

7.267 X [tex]10^{-4}[/tex]

Step-by-step explanation:

5662 rounded to the nearest 100

Answers

Answer:

5700

Step-by-step explanation:

Answer:

5700

Step-by-step explanation:

There are 3 consecutive integers. If the smallest one is n, find the sum of 3 integers.

Answers

Answer:

           3n + 3

Step-by-step explanation:

The consecutive integers are increasing by 1

n ← the smallest integer

n+1 ← the middle integer

n+1+1 = n+2   ← the largest integer

The sum:

S = n + n+1 + n+2

S = 3n + 3

POSSIBLE POINTS: 3
You go to the football game, and admission is $5 and it costs $1 per snack.
The slope is
The y-intercept is
If you have $12, you can go to the game and buy snacks
1
2
3
Next
c)

Answers

Answer:

4 snack

Step-by-step explanation:

12 - 5 = 4

Deondre bought a new PlayStation for 480.50 there is a 6.5% sales tax what is the total amount that deondre paid

Answers

Answer: $511.73

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

I can buy 3 cans of soda for $1.05. How many cans can buy at the same rate for $21?

Answers

Answer:

20 cans

Step-by-step explanation:

Divide $21 by $1.05 and you get 20.

Answer:

60 cans of soda

Step-by-step explanation:

3 cans of soda for $1.05

$21 = ? cans of soda

21  / 1.05 = 20

so if 20 $1.05's fit in $21 then how many cans fit in $21

20 x 3 = 60

you can buy 60 cans of soda with $21

8/2(2+2) = ? Please explain in as much detail as possible.

Answers

Answer:

16

Step-by-step explanation:

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step 1: Write expression

8/2(2 + 2)

Step 2: Evaluate

Parenthesis (add): 8/2(4)Divide: 4(4)Multiply: 16

answer is 16 hopefully this helped

This equation shows how the total amount of paper Addison's office has recycled depends on the number of weeks since they started the new recycling plan.
p = w + 16
The variable w represents the number of weeks the office has been on the new recycling plan, and the variable p represents the total kilograms of paper recycled. How many weeks will it take Addison's office to recycle a total of 19 kilograms of paper?

(?) weeks

Answers

Answer:nbdbndndndnd

Bsbsnsndndnsh

Step-by-step explanation:

Dnndbdndnndndndnnd

14 POINTS AND BRAINLIEST HELP IM TAKING A TIMED TEST!! SHOW ALL WORK

Answers

Answer:

-1.5

Step-by-step explanation:

Solving in steps

(x-2)/7 = (2x+1)/44(x-2) = 7(2x +1)4x - 8 = 14x + 714x - 4x = -8 - 710x = - 15x = -15/10x = -1.5

Select all the equations that are equivalent to the equation 3x – 4 = 5

A. 3x=9

B . 3x-4+4=5+4

C .x-4=2

D . x=9

E. -4=5-3x

Answers

A B E

They all equal x = 3 once solved.
C = 6 and D = 9 so those are not correct.

Answer:

A. 3x=9

I can only think of A

What is the value of x in the proportion below?

57=x21

Answers

Answer:

x=2.7

Step-by-step explanation:

21x=57

21x/21=57/21

x=2.7

Answer:15

Step-by-step explanation:

Use digits to write the value of the 9 in this number.

139,648

Answers

Answer:

9,000

Step-by-step explanation:

the 9 is in the thousands place

( just turn every digit after it into a 0)

The value of 9 in the number, 139648, is 9000.

What is the place value?

The value of each digit in a number is known as the place value. Depending on where it is in a number, it describes each digit's value.

The given number is 139648.

Note that the position of 9 is at thousands place, therefore, the value of 9 in this number is 9000.

Hence, the value of 9 in the number, 139648, is 9000.

Learn more about the place value:

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7x – 5(х + 8) = 5х – 28​
Step-by-step PLEASE!!!!

Answers

Answer:

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

7x – 5(х + 8) = 5х – 28

7x - 5x + (-40) = 5x - 28

   + 5x         + 5x

 7x + (-40) = 10x - 28

- 7x             -  7x

-40 = 3x - 28

+ 28       + 28

-12 = 3x

Then divide.

-4

the equation of the line with a slope of 2 and passing through (-3,-10) what the answer​

Answers

Answer:

y=ax+b

-10=2×(-3)+b

-10=-6+b

-4=b

y=2x-4

1) -6 < 3х – 4x
Can some one help me

Answers

combine like terms

-6<-1x

divide by negative 1 on both sides

flip the sign when dividing by a negative number

6>x is the answer.

Answer:

[tex]\boxed { x < 6}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]-6 < 3x - 4x[/tex]

-Combine like terms:

[tex]-6 < 3x - 4x[/tex]

[tex]-6 < -x[/tex]

-Switch sides:

[tex]-6 < -x[/tex]

[tex]-x > -6[/tex]

-When you are dividing an integer by a negative integer, then the inequality sign would change. So, to get the variable [tex]x[/tex] positive, divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} > \frac{-6}{-x}[/tex]

[tex]\boxed { x < 6}[/tex]

A line contains exactly one point.

Answers

Answer:

False

Step-by-step explanation:

A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Answer:

A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.

Step-by-step explanation:

Akiko wants to fence in her [tex]12[/tex] ft by [tex]10[/tex] ft vegetable garden. There will be a path [tex]x[/tex] ft wide between the garden and the fence. The area to be enclosed by the fence will be [tex]360[/tex] sq ft. Write a quadratic function that can be used to determine the value of [tex]x[/tex].

Answers

Answer:

see below

Step-by-step explanation:

The length is 12 + 2x  and the width is 10 + 2x

A = l*w

360 = ( 12+2x) ( 10+2x)

FOIL

360 = 120 + 24x+20x + 4x^2

Combine like terms

360 = 4x^2 +44x+120

Subtract 360 from each side

0 = 4x^2 +44x +120-360

0 = 4x^2+ 44x -240

For fun, lets solve

0 = 4( x^2 + 11x - 60)

0 = 4( x+15) ( x-4)

  Using the zero product property

x= -15  x=4

Since we cannot have negative length

x=4 ft

Answer:

[tex]x^2+11x-60=0[/tex]

Step-by-step explanation:

Refer to the drawing.

We know that the area enclosed by the fence is 360 square feet. Remember that the area for a rectangle is given by the following formula:

[tex]A=bh[/tex]

So, let's substitute 360 for A, (12+2x) for b, and (10+2x) for h. This yields:

[tex]360=(12+2x)(10+2x)[/tex]

We can simplify this. On the right, factor out a 2 from the first term and a 2 from the second. This yields:

[tex]360=2(6+x)\cdot2(5+x)[/tex]

Multiply:

[tex]360=4(x+6)(x+5)[/tex]

Divide both sides by 4:

[tex]90=(x+6)(x+5)[/tex]

Multiply on the right:

[tex]90=x^2+6x+5x+30[/tex]

Add on the right:

[tex]90=x^2+11x+30[/tex]

Subtract 90 from both sides. So, our equation is:

[tex]x^2+11x-60=0[/tex]

And we're done!

The product of four and a number +17 is five

Answers

Answer:  n = -3

.........................

(NEED HELP WILL MARK BRAINLIEST)
_____is the effort to improve something by correcting faults.
A. "Sacrament"
B. "Reform"
C. "Contradict"
D. "Indulgent"

Explain your answer

Answers

Answer:

D

Step-by-step explanation:

Answer: Reform

Step-by-step explanation:

Reform means make changes in order to improve it.

Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of carbohydrates, and 5 grams were from whole grains. Did Osvoldo meet his goal? Why?..

Answers

Answer:

Answer: Osvoldo did not meet his goal.

Step-by-step explanation:

Total carbohydrate ate by Osvoldo = 220 g

carbohydrate from grains = 55 g

Percentage of carbohydrate of grain is

\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}

=

Total carbohydrate

carbohydrate taken from grains

×100

=

220

55

×100=25%

Goal of getting carbohydrate from grains = at least 30%

but he ate only 25% of carbohydrate

Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.

Which table corresponds to the equation? Y = 4x + 1?

Answers

Answer:

3rd one down

Step-by-step explanation:

(1,5), (2,9), (3,13), (4,17)

The table C is Solution for the Equation.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

given:

Equation: y= 4x+ 1

When x= 1

y = 5

and, x= 2

y= 8 + 1= 9

and, x= 3

y= 12 + 1= 13

and, x=4

y = 16 + 1 = 17

Thus, the solution for the Equation is (1, 5), (2, 9), (3, 13) and (4, 17).

Hence, the table C is Solution for the Equation.

Learn more about Equation here:

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hot dogs are sold in packages of 8, and hot dog buns are sold in packages of 12. what is the smallest number of each
that could be purchased so that the customer has the same number of hot dogs and buns?

Answers

Answer:

2 packs of buns and 3 packs of hot dogs

Step-by-step explanation:

multiples:

      8: 8, 16, 24

packs: 1, 2, 3

   12: 12, 24, 36

packs: 1, 2, 3

179 to the power of 179

Answers

Answer:

InfinityStep-by-step explanation

:this is what the calc says

The result of 179 to the power of 179 in scientific notation is [tex]179^{179}=1.822 \times 10^{403}[/tex]

Given the indices, [tex]a^b[/tex], from the expression we can see that;

a is the baseb is the exponent

Given the indices expression [tex]179^{179[/tex]

This means that we are to multiply 179 in 179 places. Hence the required indices are expressed as;

[tex]179^{179}=1.822 \times 10^{403}[/tex]

The result of 179 to the power of 179 in scientific notation is [tex]179^{179}=1.822 \times 10^{403}[/tex]

Learn more here: https://brainly.com/question/20118228

three friends go shopping together, and each buy the same kind of oranges. LaMar buys 2 pounds (lb) and pays $5.00. Enrico buys 3 pounds and pays $7.50. Anna buys 1.5 pounds and pays $3.75.
identify the graph and unit price that represents the orange cost.

Answers

Answer:

B.

Step-by-step explanation:

I chose B because goes through zero. Sorry if it wrong.

Answer: c

Step-by-step explanation:

just say your welcome

expand the logarithmic expression In(3e^2)

Answers

Answer:

In (3) + 2

Step-by-step explanation:

Expand the logarithmic expression: ln(3e^2)

Multiply --> add logs

ln(3e^2) = ln(3) + ln(e^2)

= ln(3) + 2

I am a square number. The sum of my digits is 9. What square numbers might I be?

Answers

The number you are looking for would be 81!

8 + 1 = 9

And the square root of 81 is 9 so 81 is the number you are looking for

) What is the distance between this pair of points?
(-5, 2) and (-5, 6)

Answers

Answer:

[tex]d=4[/tex]

Step-by-step explanation:

Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d=\sqrt{(-5-(-5))^2+(6-2)^2}[/tex]

[tex]d=\sqrt{(-5+5)^2+(4)^2}[/tex]

[tex]d=\sqrt{(0)^2+16}[/tex]

[tex]d=\sqrt{0+16}[/tex]

[tex]d=\sqrt{16}[/tex]

[tex]d=4[/tex]

On Monday, 454 students went on a trip to the zoo. All 9
buses were filled and 4 students had to travel in cars. How many students were
in each bus ?

Answers

Answer:

50 students were in each bus.

Step-by-step explanation:

We first subtract the 4 students in cars from the total, then divide the remaining students, (450) into the 9 busses. 450 / 9 = 50. There are 50 in each bus.

Solve for x:
4x - 12 = 8x + 24

Answers

Answer:

4x-12=8x+12

-24=4x

-6=x

Step-by-step explanation:

put the variables to one side and numbers to the other side

then divide 4 from each side

now you have the answer

Answer: -9

Step-by-step explanation:

To solve the equation, isolate the variable, then use basic arithmetic.

Subtract 4x on both sides to obtain the equation:

-12 = 4x + 24

Subtract 24 on both sides to isolate 4x, and obtain the equation:

-36 = 4x

Finally, divide both sides by 4 to obtain the following:

-9 = x

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