U2 L5 Modeling Equations With Variables On Both Sides 1) Solve 5x−4 = 3x +8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group. 2) Solve −4x +7 = −7x−8. a. Model. b. Perform the step to have variables (circles) on only one side. c. Write the resulting step. d. Perform the step to have the variables (circles) alone on one side. e. Write the resulting step. f. Divide the variables (circles) and numbers (squares) into equal groups. g. Show the value of one group.

Answers

Answer 1

Answer:

x = 6

x = -5

Step-by-step explanation:

Solving (1)

5x - 4 = 3x + 8

Bring variables to one side

5x - 3x = 8 + 4

The result is

2x = 12

Solve for x

½ * 2x = ½ * 12

x = 6

Solving (2)

-4x + 7 = -7x - 8

Bring variables to one side

7x - 4x = -7 - 8

The result is

3x = -15

Solve for x

⅓ * 3x = -15 * ⅓

x = -5


Related Questions

when you apply combine like terms to the right side of the equation what do you end up with?

Answers

Looking at the right side, 6x + 7 -5x, when you combine like terms you end up with x+7.

Since the first term and the last term, 6x and -5x are like terms you add them. 6 plus -5 is one. In this case it would be x.(it is not necessary to put 1 in front of the x). And 7 is positive and it is the only term left by itself.

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

UV=24 and XY=15 because the pentagon to the left's side lengths are 3 times as large compared to the one on the right.

Rs800 for 3 year at rate of 5 percent p.a

Answers

Answer:

Simple Interest = (Time * Rate * Principal) / 100

=> SI = 3 * 5 * 800 / 100

=> SI = 15 * 8

=> SI = Rs. 150

Hence, her interest after 3 years at a rate of 5 percent = Rs. 150

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

help asap please click the image to find the question

Answers

Answer:33

Step-by-step explanation: You do what's inside the parenthesis first then you divide the number by 6 and lastly you add 5squared which is 25 to the quotient.

8. PLS ANSWER!!!!
and show work

Answers

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

m = 5

∵ The two lines are parallel

∴ Their slopes are equal

The slope of the parallel line is 5

→ Substitute it in the form of the equation above

y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

The equation of the parallel line is y = 5x + 11

the level of detail that an instrument can measure is known as its _____

Answers

Answer:

precision

Step-by-step explanation:

it just is

Ignore a and b but can you help with c and d? Plz I’ll mark you as a brainiest

Answers

120+2x+20=180
140+2x=180
2x=40
x=20

C: 2x+20=60

2x=40

x=20

D: 3x+10=100

3x=90

x=30

Solve the inequality below.

4(x + 3) < 6x – 2

Answers

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

√12
A. 2√5
B. 2√3
Which one? ​

Answers

Answer:

B. [tex]2\sqrt{3}[/tex]

Hope this helps!

Answer:

B.2√3

Explanation:

√2^2×√3

√2^2√3

2√3


Select each set of points that are colinear.

Answers

Answer:

friend, a points are collinear

Answer:

points K and R are colinear

Step-by-step explanation:

Mandy makes cupcakes, she uses 8 3/4 cups of flour for 12 cupcakes. How many cups of flour are needed to make 1 cupcake? Explain how you found each amount.

Answers

Answer:

Step-by-step explanation:

.75=3/4

8.75 cups divided by 12 cupcakes  = .73 (rounded up) cups of flour per cupcake

1.What is the standard form of a linear equation?

A.x+y=0

B.y= MX+b

C. m=rise/run

D. ax +By=C

2.Which term could be used to describe the graph of a line on a coordinate plane?

A. independent variable

B. test points

C. set of all solutions

D. dependent variable

3.Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−1/6x+11/6.

A.Yes, because all the solutions of y=−1/6x+11/6 need to be integer values for x and y.

B.No, because the point (17,−1) is not on the line that represents the equation y=−1/6x+11/6.

C.No, because the set of all solutions of y=−1/6x+11/6 is represented by the line of the equation.

D. Yes, because all of the points that are listed are on the line y=−1/6x+11/6.

Answer them all in one answer please and thank you.

Answers

Answer:

1. D

sorry I know only first one

Simplify this equation (3√2)²​

Answers

Answer:

18

Step-by-step explanation:

It is 18. You cal simply solve it as it doesn’t have an unknown integer

A car travels 43 km in 56 minutes.
What is its average speed in km/h?
Give your answer rounded to 1 decimal place.

Answers

Answer:

[tex]\displaystyle v=46.07\ Km/h[/tex]

Step-by-step explanation:

Speed

The speed is the ratio between the distance x traveled by an object and the time t taken.

[tex]\displaystyle v=\frac{x}{t}[/tex]

The car travels x=43 Km in t=56 minutes. We are required to express the speed in Km/h. The time needs to be expressed in hours:

[tex]t = 56 / 60 = 0.933\ h[/tex]

Now apply the formula:

[tex]\boxed{\displaystyle v=\frac{43}{0.933}=46.07\ Km/h}[/tex]

Kira is riding her bicycle. She rides at a speed of 8 kilometers per hour for 12.8 kilometers. For how many hours does she
ride?

Answers

Answer:

1.6 hours

Step-by-step explanation:

12.8 divided by 8 = 1.6

please help! i would appreciate it!

Answers

Answer:

(Answer

Step-by-step explanation:

deleted)

evaluate = (√5+2√6) + (√8-√2√15)​

Answers

Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)

Answer:

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Step-by-step explanation:

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

What is the solution of 8 + a = 13? Justify each step. A. The steps are: (1) 8 + a = 13 (2) 8 + 8 + a = 13 + 8 (3) a = 21 The reasons are: (1) original equation (2) Addition Property of Equality (3) Simplify. B. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 (3) a = 13 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. D. The steps are: (1) 8 + a = 13 (2) 88+a=138 (3) a = 1.63 The reasons are: (1) original equation (2) Division Property of Equality (3) Simplify.

Answers

Answer:

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Step-by-step explanation:

8 + a = 13 (original Equation)

Subtract 8 from both sides

8 + a - 8 = 13 - 8 ( subtraction property of equality

a = 5 (Simplify)

The correct answer is option C

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

A number n minus 3 is at least –5.

Answers

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

+3 +3

n≥-2

Hope this helped!! Have a great day c:

Hmmmmmmmmmmmmmmm?????????

Answers

Answer:whats the question?????

Step-by-step explanation:

help me please
Solve for x and y

Answers

Answer:

ouch math keeps getting harder and harder every time!

Step-by-step explanation: sorry ik this aint

wat u looking for


I need help with 9and 10 pleas

Answers

9 is D
10 is either a or b

Is Mr. Martin a hero? xplain why or why not.

Answers

What do you mean show a picture of the question so i can help you

Answer:

mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)

Step-by-step explanation:

simplify the following​

Answers

Answer:

D. 64 z^ 2

Step-by-step explanation:

Simplify the expression.

Which pair of quantities form a proportional relationship? Select all that apply​

Answers

Answer:

The 4th and 6th

Step-by-step explanation:

What is an equation of the line that passes through the points (3, 8) and (1,0)?

Answers

Answer:

y = 4x - 4

Step-by-step explanation:

first, find the slope:

y2 - y1/ x2 -x1

8 - 0/ 3 - 1 = 4

no plug in your slope and one of the points to find the b:

y = mx+b

0 = 4 (1) + b

b= -4

so

y = 4x - 4

What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
20 POINTS & I WILL GIVE BRAINLIEST

Answers

Answer:

i will help in a bit

Step-by-step explanation:

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3

Answers

Answer:

y = –5x – 17

Step-by-step explanation:

First, we shall determine the slope of the equation y = 1/5x – 3.

The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.

This is illustrated below:

y = 1/5x – 3

y = mx + c

Thus, the slope (m) of equation

y = 1/5x – 3 is 1/5

Next, we shall determine the slope of the line perpendicular to the equation as follow:

For perpendicular lines, their slope (m1 and m2) are related as follow:

m1 × m2 = –1

m1 = 1/5

1/5 × m2 = –1

m2/5 = –1

Cross multiply

m2 = 5 × –1

m2 = –5

Therefore, the slope of the line is –5.

Finally, we shall determine the equation of the line as follow:

Coordinate = (–5, 8)

x1 coordinate = –5

y1 coordinate = 8

Slope (m) = –5

y – y1 = m(x –x1)

y – 8 = –5(x – (–5))

y – 8 = –5(x + 5)

y – 8 = –5x – 25

Rearrange

y = –5x – 25 + 8

y = –5x – 17

Therefore, the equation is y = –5x – 17.

What is the length of c on the graph below?
6
10
8
14​

Answers

Answer:

10 is the answer to the question

8 is the answer to the question


If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3

Answers

a y-intercept at -3. second number in coordinates are y

Answer: B - lines that intersect at a single point

Step-by-step explanation: Just took a test

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