Practice writing equations from sentences. Assignment Which sentences describe the relationship between an expression and an equation? Select all that apply.
An equation contains variables; an expression never does.
An equation contains an equal sign; an expression does not.
Both expressions and equations contain numbers and/or variables.
An expression has addition and subtraction; an equation never does.
An expression involves multiplication, but equations only use addition.​

Answer:

no solution

Step-by-step explanation:

Given

2(n + 2) = 4n + 1 - 2n ← distribute parenthesis on left side

2n + 4 = 2n + 1 ( subtract 4 from both sides )

2n = 2n - 3 ( subtract 2n from both sides )

0 = - 3 ← not possible

This indicates the equation has no solution

The original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.

To solve the equation 2(n + 2) = 4n + 1 - 2n, we can simplify and then solve for the variable n.

First, distribute 2 to the terms inside the parentheses:

2n + 4 = 4n + 1 - 2n

Next, combine like terms on the right side:

2n + 4 = 2n + 1

Now, subtract 2n from both sides to isolate the n term:

2n - 2n + 4 = 2n - 2n + 1

4 = 1

Since 4 is not equal to 1, there is no solution to this equation.

Therefore, the original equation 2(n + 2) = 4n + 1 - 2n has no solution for n.

Learn more about Equation here:

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Answer:

  16x -2

Step-by-step explanation:

You know how to compute the perimeter of a rectangle of length L and width W:

  P = 2(L+W)

Here, you're asked to use the given algebraic expressions for length and width and simplify the result of putting those in the perimeter formula.

  P = 2((5x-2) +(3x+1))

  P = 2(8x -1)

  P = 16x -2 . . . the perimeter of the rectangle

Answer:

x=2

Step-by-step explanation:

to find x- intercept substitute y=0

move variable to the left hand side and change its sign -5x=-10

then divide both sides of the equation by -5

and the final answer is x=2

hope this helps!

Answer:

it looks like you are trying to find x in this problem so x= -6

Answer:

Step-by-step explanation:

3 + 5x = 3x -9

-3  -3x   -3x  -3

2x = -12

2x/2 -12/2

X=     -6

Answer:

[tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]

Step-by-step explanation:

Before adding we require the fractions to have a common denominator.

Multiplying the numerator/ denominator of the first fraction by (x + 5)

Multiplying the numerator/ denominator of the second fraction by (x + 3)

= [tex]\frac{x+5}{(x+3)(x+4)(x+5)}[/tex] + [tex]\frac{2(x+3)}{(x+3)(x+4)(x+5)}[/tex]

Now add the numerators leaving the common denominator

= [tex]\frac{x+5+2x+6}{(x+3)(x+4)(x+5)}[/tex]

= [tex]\frac{3x+11}{(x+3)(x+4)(x+5)}[/tex]

Answer:

23, 11, -13

Step-by-step explanation:

y+6(-2)=11

y-12=11

y=23

y+6(0)=11

y+0=11

y=11

y+6(4)=11

y+24=11

y=-13

Answer:

Step-by-step explanation:

given the expression (3³)² = n⁶, we are to find the value of n.

To do that we will apply one of the laws of indices shown

[tex](a^m)^n = a^{mn}[/tex]

Applying the law to the question

(3³)² = n⁶

[tex]3^{3*2} = n^6\\\\[/tex]

[tex]3^6 = n^6\\\\[/tex]

Since the power of both values at both sides are equal, they will cancel out to give;

[tex]3 = n[/tex]

Hence the value of n is 3

its 2

N=2

and i know this since i got it wrong and it showed me the correct answer :)

Aaron 14 years

Devon 17 years

D = A + 3

D + A = 31

replace D

A + 3 + A = 31

2A = 31 - 3

2A = 28

A = 14 years

D = 17 years

Answer:

unit rate is 2

Step-by-step explanation:

Notice that if we multiply both '1' and '3' in 1/3 by 2, we get:

4/6 : 2/6,

which reduces to 4/2, or 2, which is the desired unit rate.

Answer:

The answer is 2:1

Step-by-step explanation:

what is a unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

When writing a unit rate the denominator is always 1

If you want to obtain a unit rate you divide both quantities by the second one.

Answer:

24 cubic feet

Step-by-step explanation:

3 × 4 × 2 = 24

Step-by-step explanation:

The formula for volume is l×w×h, a d the ending unit will be cubed/to the third power.

So you would do 4ft×3ft×2ft, which equals 24ft³

Answer:

ummm

Step-by-step explanation:

Answer: miles

because hes measuring in miles and i answered this same question today

Answer:

-14

Step-by-step explanation:

Answer:

9/25

Step-by-step explanation:

I guess you mean 45/125

they are divisible by 5

45/5 = 9

125/5 =25

9/25

Answer:

x = 4

Step-by-step explanation:

[tex]x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]

Answer:

44

Step-by-step explanation:

180-48/3 to find the value of x

Answer:

r < 3

Step-by-step explanation:

Step 1: Write out inequality

5r + 2 < 17

Step 2: Subtract 2 on both sides

5r + 2 - 2 < 17 - 2

5r < 15

Step 3: Divide both sides by 5

5r/5 < 15/5

r < 3

In this case, r has to be smaller than 3. So anything like -2, -15, or even -12413573875942 works as r, as long as it's smaller than 3.

Step-by-step explanation:

(-3x-4) is -12. -12

(5-5x) is x. x

9-7 is 2. 2

+8. +8

-2+x

9+24x+4+ 40-40x

53-16x

Answer:

Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result.

Step-by-step explanation:

We must remember that location of midpoint of any line segment can be determined by using this formula in function of the endpoint locations:

[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right)[/tex]

Where:

[tex]x_{M}[/tex], [tex]y_{M}[/tex] - Location of midpoint, dimensionless.

[tex]x_{R}[/tex], [tex]y_{R}[/tex] - Location of endpoint R, dimensionless.

[tex]x_{S}[/tex], [tex]y_{S}[/tex] - Location of endpoint S, dimensionless.

Both Jim and Lynn, as midpoint formula observes commutative property, which commutes the position of each endpoint inside the sum without altering the result. That is:

[tex](x_{M},y_{M}) = \left(\frac{x_{R}+x_{S}}{2}, \frac{y_{R}+y_{S}}{2} \right) = \left(\frac{x_{S}+x_{R}}{2}, \frac{y_{S}+y_{R}}{2} \right)[/tex]

Answer:

-3(x + 6)(x + 2)

Step-by-step explanation:

FACTOR

-3(x² + 8x + 12) FIND TWO #'S THAT ADD TO 8 AND MULTIPLIES TO 12

-3(x + 6)(x + 2)

Answer:

5 hours

Step-by-step explanation:

49 - 14 = 35 and 35 ÷ 7 = 5

Answer:

The student can used

297+613 = x

Step-by-step explanation:

It is because the sum is unknown , and we can imagine it as "x". This, we formed a equation.

Answer:

8

Step-by-step explanation:

This is because the expression is already in decimal form

Answer:

d = 4

Step-by-step explanation:

6-3d=10-d

-2d=4

divide d by -2

the answer is 4.

Answer:

6-3d=10-5d...Multiplying 5 with (2-d)

5d-3d=10-6....Taking - 5d to left and writing it +5d and Taking +6 to right and making it - 6

2d=4...Subtracting as required

d=4/2

d=2....Normal division

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

Answer:

x=65

Step-by-step explanation:

you have to get all variables to one side so you would subtract 6 from seven getting one and then add 35 to 30 giving you 65 :)

Answer:

x = 65

Step-by-step explanation:

7x - 35 = 30 + 6x First subtract 6x from both sides

x - 35 = 30 Then add 35 to both sides

x = 65

Answer:

(C) 50π

Step-by-step explanation:

For this problem, we need to find a way to relate the inner circle, to the square, to the outer circle.

Given that we know the area of a circle is πr^2, and our inner circle has a area of 25π, we can find the radius.

25π = πr^2

25 = r^2

5 = r

Note, that the diameter of the inner circle is parallel to the side of the square, meaning that the diameter of the inner circle is the length of the side of the square.

diameter = 2 * radius

d = 2 * 5 = 10.

Now that we know the value of the side of the square, we can find the length of the diagonal of the square, which is the diameter of the outer circle.

Using the properties of the 45-45-90 right triangle, we can say that the diagonal of the square is the length of the side times sqrt(2).

Outer_Diameter = 10 * sqrt(2)

Now to find the outer area, we need the formula for the area of a circle.  Note that the diameter is twice the radius, so we will simply divide by 2.

A = πr^2

A = π * [ ( 10 * sqrt(2) ) / 2 ]^2

A = π * [ 5 * sqrt(2) ] ^2

A = π * 25 * 2

A = 50π

So the area of the outer circle is 50π.

Cheers.

Answer:

Step-by-step explanation:

123+4 =127