Why might you need to use the addition or subtraction property of equality more than once after you have used the distributive property and combined like terms? Explain. Sample Response: If there is a variable term and a constant on each side of the equation, then you will need to use the addition or subtraction property of equality once to isolate the variable term and once to isolate the constant. Which did you include in your response? Check all that apply. Use the addition or subtraction property of equality once to isolate the variable term. Use the addition or subtraction property of equality once to isolate the constant.

Answer:

Step-by-step explanation:

17*4=68

68-18=50

50-15=35

35-16=19

19

Answer:

b - a

Step-by-step explanation:

Given M and N are midpoints, let's find the coordinates of the midpoints first. Then we can use that information to find the length

The midpoint formula is

( (x1 + x2)/2, (y1 + y2) / 2 )

So M = ( (2a + 2c)/2, (0 + 2d)/2 ) = (a + c, d)

And N = ( (2c + 2b)/2, (2d + 0)/2 ) = (c + b, d)

Because the y-coordinates are the same (d), the distance from M to N is,

final x-coordinate minus initial x-coordinate

x-coordinate of N minus x-coordinate of M

(c + b) - (a + c)

Distribute the negative and remove the parentheses

c + b - a - c

Group the cs together

c - c + b - a

Cancel out the cs

b - a

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

~Simplify

-6x + 8 - x - 3

-7x + 5 = 33

~Subtract 3 to both sides

-7x = 28

~Divide -7 to both sides

x = -4

Best of Luck!

Answer:

x = -4

Step-by-step explanation:

-2(3x - 4) - x - 3 = 33

solve the brackets first

-6x + 8 -x -3 = 33

-6x - x + 8 - 3 = 33

-7x + 5 = 33

-7x = 33-5

-7x = 28

x = 28/ -7

x = -4

Answer:

14/100

Step-by-step explanation:

14/100

=7/50

14% is equal to 7/50

Answer:

3/4 of the ribbon is needed to make a bow

Step-by-step explanation:

12 ÷ 4 = 3

so out of that foot of ribbon you use 3/4 of it for the bow

Answer:

13

Step-by-step explanation:

f(x) = 2x - 3,

f(4) = 2(4) - 3,

f(4) = 5

g(x) = 2x^2 + 5x + 1,

g(1) = 2(1)^2 + 5(1) + 1,

g(1) = 2 + 5 + 1,

g(1) = 8

f(4) + g(1) =

5 + 8 =

13

Hope this helps :)

Answer:

Step-by-step explanation:

Answer: Use main properties of powers

to simplify given equation.

1.

2.

3. Then the equation is

The bases are the same, so equate the powers:

2x=-3x-15,

2x+3x=-15,

5x=-15,

x=-3.

Answer: for x=-3.

Step-by-step explanation:

Answer:

40/31

Step-by-step explanation:

4x = (1/8)x + 5

=> 4x - 5 = (1/8)x

=> 8(4x-5) = x

=> 32x - 40 = x

=> 32x - x = 40

=> 31x = 40

=> x = 40/31

Answer:

x = 4, y = 3

Step-by-step explanation:

Equating corresponding coordinates , gives

2x = 8 ( divide both sides by 2 )

x = 4

and

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

F=first side; S=second side=3F; T=third side=2.5F

.

F+S+T=60ft

F+3F+2.5F=60ft

6.5F=60ft

F=9.23ft

S=3F=3(9.23ft)=27.69ft.

T=2.5F=2.5(9.23)=23.08ft

.

ANSWER First side=9.23ft; Second side=27.69ft; Third side=23.08ft

Step-by-step explanation:

Answer:

91 short stories

Step-by-step explanation:

You just add 1 + 2 + 3 + 4 + 5 + 6... all the way to 13, and then at the end of 16 months, Troy still only wrote 91 stories since he only wrote them up until 13 months, and  then stopped afterwards.

Answer:

44

Step-by-step explanation:

n = pattern number

9n - 1 = number of tiles

Number 5 = 9n - 1

= 5 x 9 - 1

= 45 - 1

= 44

The pattern will have 54 tiles after the fifth day

To determine the pattern, let's find the difference between the number of tiles on consecutive days:

Difference between Day 2 and Day 1: 8 tiles - 0 tiles = 8 tiles

Difference between Day 3 and Day 2: 20 tiles - 8 tiles = 12 tiles

Difference between Day 4 and Day 3: 35 tiles - 20 tiles = 15 tiles

Notice that the difference between the number of tiles on consecutive days is increasing by 4 each time (8, 12, 15).

Now, let's use this difference to find the number of tiles after the fifth day:

Difference between Day 5 and Day 4: 15 tiles + 4 tiles = 19 tiles

Number of tiles after the fourth day: 35 tiles

Number of tiles after the fifth day: 35 tiles + 19 tiles = 54 tiles

So, the pattern will have 54 tiles after the fifth day.

Learn more about pattern at https://brainly.com/question/13628676

#SPJ3

Answer:

[tex]{ \underline{ \sf{6y = x + 1 }}}[/tex]

Step-by-step explanation:

[tex]y = mx + c[/tex]

m is slope

c is y intercept.

at x-intercept, y = 0

[tex]0 =( \frac{1}{6} \times - 1 )+ c \\ \\ c = \frac{1}{6} [/tex]

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is 6y=x+1.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given that the slope of the equation of the line is 1/6, while the x-intercept is at -1. Therefore, if we substitute the coordinate of the intercept and the slope in the equation in the general equation of the line. We will see,

y = mx + c

0 = (1/6)(-1) + c

0 = -1/6 + c

c = 1/6

Now, the equation of the line can be written as,

y = (1/6)x + (1/6)

y = (x/6) + (1/6)

y = (x+1)/6

6y = x + 1

Hence, the equation of the given line is 6y=x+1.

Learn more about Equation of Line here:

https://brainly.com/question/21511618

#SPJ2

Answer:

Step-by-step explanation:

It's D.

A theorem is true by some sort of mathematical logic.

It is not a definition. Not C

It is not in the end true because of inductive reasoning (a theorem may lend itself to inductive reasoning, but it must be proved.) Not A

It certainly not assumed to be true without proof. Not B

Answer:

i think its 5 i think i dont know havent done this since 6th grade

Answer:

buy for $20 and sell for $40

is 100% mark-up

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

when you add up all parts of a triangle they are equal to 180

Answer:

yes

Step-by-step explanation:

the sum of interior angles of a triangle is = to 180 degrees.(It's a geomatory theorem)

Answer:

total area = 99m² + 39.4m²

= 138.4m²

C.-3/4................

Answer:

12 Points

Step-by-step explanation:

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

you need 5 buses and 4 will be totally full and one will only be 1/3 full

or you can have 14% of all 5 buses with empty seats

Step-by-step explanation:

Step-by-step explanation:

6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x

4x -x^2 = 5x^2 + 15x

-11x - 6x^2 = 0

-6x^2 - 11x = 0

use the quadratic formula

(-b±√(b²-4ac))/(2a)

Answer:

7/12

Explanation:

Here are the steps to follow:

Write down the factors for the numerator and the denominator.

Determine the largest factor that is common between the two.

Divide the numerator and denominator by the greatest common factor.

Write down the reduced fraction.

Answer:

7/12

Step-by-step explanation:

[tex] \frac{1}{3} + \frac{1}{2} = \frac{2 + 3}{6} = \frac{5}{6} - \frac{1}{4} = \frac{20 - 6}{24} = \frac{7}{12} [/tex]

reflection in the x axis

x,y=x-y

-2,2

2,-2

-1,4

1,-4

3,4

3,-4

[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]