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

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:

Answer: $511.73

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

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

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

Answer:

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

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

Answer:

x=2.7

Step-by-step explanation:

21x=57

21x/21=57/21

x=2.7

Answer:15

Step-by-step explanation:

Answer:  n = -3

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

Answer:

A. 3x=9

I can only think of A

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]

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.

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.

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Answer:

Step-by-step explanation:

Solving in steps

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.

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

Answer:

3rd one down

Step-by-step explanation:

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

The table C is Solution for the 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.

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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

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;

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]

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Answer:

y=ax+b

-10=2×(-3)+b

-10=-6+b

-4=b

y=2x-4

Answer:

5700

Step-by-step explanation:

Answer:

5700

Step-by-step explanation:

Answer:nbdbndndndnd

Bsbsnsndndnsh

Step-by-step explanation:

Dnndbdndnndndndnnd

Answer:

4 snack

Step-by-step explanation:

12 - 5 = 4

Answer:

16

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

8/2(2 + 2)

Step 2: Evaluate

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

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.

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]

Answer:

D

Step-by-step explanation:

Answer: Reform

Step-by-step explanation:

Reform means make changes in order to improve it.

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!

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

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: