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 1

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.


Related Questions

Expand & simplify 4(t+2)+6(t-4)

Answers

Answer:

10t - 16

Step-by-step explanation:

4(t + 2)+ 6(t - 4)

4t + 8 + 6t -24

10t - 16

Expand the first bracket: 4t + 8
Now expand the second bracket: 6t - 24
4t + 8 + 6t - 24
Add all like terms together: 10t - 16

Suppose y varies inversely with x, and y = 39 when x = 13. What is the value of y when x = 26 ?

Answers

9514 1404 393

Answer:

  y = 39/2 = 19.5

Step-by-step explanation:

When x is multiplied by 2 from 13 to 26, y will be multiplied by the inverse of that:

  y = (1/2)(39) = 39/2 = 19.5

Two pounds of grapes cost $6. How many pounds of grapes can
you get for $1? (hint: write a repeating decimal as a fraction)

Answers

Answer:

1/3 of a pound .333

Step-by-step explanation:

6/2 =3

1/3= .333

Answer:

1/3 to 1 and 1 to 3

Step-by-step explanation:

Question 1 Consider the equation 8x + 4y = 64. If we graph the equation, what is the slope of the graph? ​

Answers

Answer:

The slope is 2

Step-by-step explanation:

Becky created a number pattern. Her pattern began with 5, and the rule was “add 5.” Dion also created a number pattern. His pattern began with 10, and the rule was “add 10.”
Which statement is true?
a. Each term in Becky’s pattern is 5 more than the corresponding term in Dion’s pattern.

b. Each term in Dion’s pattern is 5 more than the corresponding term in Becky’s pattern.

c .Each term in Becky’s pattern is 2 times as many as the corresponding term in Dion’s pattern.

d .Each term in Dion’s pattern is 2 times as many as the corresponding term in Becky’s pattern.

Answers

Answer:

D

Step-by-step explanation:

Is this a function or no

Answers

Answer: Yes it is a function

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:

3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?​

Answers

Answer:

The cost price was $48

Step-by-step explanation:

60-20%=48

hope it helps :)

Answer:

50

Step-by-step explanation:

60-x*100=20

6000-100x=20x

6000=20x+100x

6000= 120x

x= 6000/120

x= 50

Will give BRAINLIEST if it’s correct pls explain why rol

Answers

she’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.

Answer:

think of the pie as 100, each slice is worth 20 so she served 20% of the pie.

Step-by-step explanation:

4/9 of students at school are boys if there are 2601 students at the school how many are girls

Answers

Answer:

1445

Step-by-step explanation:

2601*(9/9-4/9)

(9/9 - 4/9) = 5/9

5/9×2601 = 1445

Answer = Girls are 1445

Find the slopes of the linear functions.

On a coordinate plane, a line goes through points (0, 6) and (6, 0). Y = negative 2 x + 7.

The slope of the line given by the linear equation is .
The slope of the line shown in the graph is .

Answers

Answer:

The slope of the line given by the linear equation is

✔ -2

.

The slope of the line shown in the graph is

✔ -1

.

Step-by-step explanation:

thank you to the person above me !

The slope of the equation is -2 and -1.

What is slope of line?

The slope of a line is a measure of its steepness.

Given:

equation of line is

y= -2x +7

So, the slope of the line given by the linear equation is -2

and, (0, 6) and (6, 0)

m= 0-6/ 6-0

m= -6/6

m= -1

So, the slope of the line shown in the graph is -1.

Learn more about slope of equation here:

https://brainly.com/question/13496015

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does 3(6x - 2) - 7 = 18x - 13?​

Answers

Answer:

yes

Step-by-step explanation:

distribute 3(6x-2) to get 18x-6-7= 18x-13

combine -6 and -7 to get 18x - 13 = 18x - 13

hope this helps :))

A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says they now have about 120 apples. Is the owner's estimate reasonable? The owner's answer is reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 320 apples and sold about 240 so they should have about 80 more apples than they started with. The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with. The owner's estimate is not reasonable. They ordered about 240 apples and sold about 240 so they should have about the same number of apples as they started with.

Answers

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 [tex]\times[/tex] 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered  = 12 [tex]\times[/tex] 20 = 240

Around 240 apples were ordered.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 [tex]\times[/tex] 8 = 336

Rounding off 42 to 40, number of apples sold = around 320

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

Correct answer is:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

mark the error / s es de moninomios​

Answers

9514 1404 393

Answer:

  2x²2y³ -- Coefficiente: +4

  5xy -- Grado: 2

  -5x⁴y -- Grado: 5

Step-by-step explanation:

The coefficient of the literal part is the product of all of the numerical factors in the term.

  2x²2y³ = (2·2)x²y³ = 4x²y³ . . . . the coefficient is 4

As in the upper left box, the degree of the term is the sum of the exponents of the literals.

  5xy has a degree of 1+1 = 2

  -5x⁴y has a degree of 4+1 = 5

__

The remaining descriptions are correct.

PLZ HELP MEEEE, will give brainliest

Answers

Answer:

It is either B or D but i would say B

Step-by-step explanation:

Evaluate:
(-4) (-3)
Another easy 10 points for yall

Answers

Answer:

12

Step-by-step explanation:

tysm ily

(-4)(-3)

= 12

Easy lol

I need help with these problems please.

Answers

Answer:

10 scare crows 3 witches and 4 ghosts

HELP ASSSAPP Mr. Barnes has a bag that contains 8 yellow marbles, 9 green marbles, and 3 red marbles. Each student is to draw a marble from the bag, record the result, and not replace the marble. Then draw a second marble, record the result.
What is the theoretical probability of getting Green then Yellow?

Write as a decimal.

Answers

Answer:

6C2 = 15

# of ways to select two from the bag: 20C2 = 190

 

---

P(2 red) = 15/190 = 3/38

Step-by-step explanation:

What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.

Answers

Answer:

-1/6

Explanation:

The slope of the line is: 6
And if two lines are perpendicular to each other, the product of their slopes is: -1

Step-by-step explanation:

The angle between the slope of the line parallel to the line whose equation is

[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]

The slope intercept form is represented as follows;

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

where

m = slope

b = y-intercept

For a line perpendicular to another line the product of there slope is negative 1. Therefore,

m₁m₂ = -1

m₁ 1/6 = -1

m₁ = - 1/ 5

The line's angle of slope is 6

Additionally, the slope product of two lines that are perpendicular to one another is -1.

To learn more on linear equation refer to:

brainly.com/question/21010397?referrer=searchResults

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Please help me out with this!! No joke answers!

Answers

Answer:

13 protons

14 neutrons

13 electrons

Step-by-step explanation:

protons and electrons are mostly always the same

Answer:

Number of Protons 13

Number of Neutrons 14

Number of Electrons 13

The original blueprint of a concrete patio has a scale ofmath2inches=3feet. Victoria wants to make a new blueprint of the patio with alength of 16.8 inches. PART A What is the scale for the new blueprint? math 1inch= feet PART B What is the width, in inches, of the blueprint with the new scale?

Answers

Complete question :

the original blueprint of a concrete patio has a scale of 2 inches=3 feet. victoria wants to make a new blueprint of the patio with a length of 16.8 inches. original blueprints length is 14 inches and original blueprints width is 12 inches. what is the scale for the new blueprint and what is the width of the blueprint with the new scale?

Answer:

2.5 fts, 14.4 fts

Step-by-step explanation:

Given that:

Scale of original blueprint : 2inches = 3 feets

To make a new blueprint with a length of 16.8 inches, the scale for the new blueprint will be :

Original scale : 2 inches = 3 feets

Original blueprint length = 14 inches

Then,

2 inches = 3 feets

14 inches = d

Cross multiply :

2d = 42

d = 21 feets

Hence, new scale for blueprint :

16.8 inches = 21 feets

2 inches = d

16.8d = 42

d = 2. 5 feets

For the width :

14 inches = 16.8 feets

12 inches = w

14w = 201.6

w = 201.6/14

Width = 14.4feets

-1/10 divided by 1/6

Answers

[tex]-0.6[/tex]

For more help, Take a look at this chart.

Answer:

-3/5

Step-by-step explanation:

-1/10 divided by 1/6

-1/10 x 6/1

-6/10 the divided by 2

-3/5

A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27

Answers

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

4c+5 = 27

4c + 5- 5 = 27-5

4c = 22

c = 22/4

c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.

Can someone please help me

Answers

Answer:

I believe it's 180 I'm pretty sure

Answer:

180 degrees

Step-by-step explanation:

If you rotate it 180 degrees to the right or left it will look exactly the same.

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89

Answers

Complete question :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89. How much did Hans pay for his trip?

Answer:

$92.39

Step-by-step explanation:

Given that:

Total distance = 450 miles

Amount charged for fees and taxes = $15.89

Amount charged ti redeem each mile = $0.17

In the equation:

Y = $0.17x + $15.89

X = distance Hans is flying

Y = cost of trip

Y = $0.17(450) + $15.89

Y = $76.50 + $15.89

Y = $92.39

What is 5.336 rounded to the nearest tenth of an ounce?​

Answers

Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped

what are all the fractions that are equivalent to 1/7​

Answers

2/14, 3/21, 4/28. just multiply 1 and 7 by the same number to come up with an equivalent fraction

Answer:

Some include: 3/21, 4/28, 5/35.

Step-by-step explanation:

You multiply the bottom by a number and then you multilpy the top by that same number!

1/7=3/21

1 times 3=3

7 times 3=21

A rectangular box has dimensions 4 in by 5 in by 5 in. Increasing each dimension of the box by the same amount ylelds a new box with volume five times the
old

Answers

Answer:

20

    Step-by-step explanation:

is the answer       ok    srry if wrong

ASAP want your guys opinion about this
What do you think of when you hear the word "Math"?

Answers

Answer:

I think of hard work :)

Step-by-step explanation:

Answer:

The perfect answer would be

M-ental

A-buse

T-o

H-uman

Step-by-step explanation:

hehe, pls mark me brainliest if you can:)

An online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store can ship a maximum of 24 pieces of furniture and must sell no less than $4500 worth of chairs and tables. If 5 tables were sold, determine all possible values for the number of chairs that the store must sell in order to meet the requirements.

Answers

Answer:

Actually, there is no answer to this problem.

450x5=2250

4500-2250=2250

2250/100=22.5

Technically the "answer" to this would be 23 or more, but the problem is saying the MAXIMUM amount they can ship is 24

23+5=28

28 is larger than 24, meaning there is no answer to the problem.

There is no answer to this problem.

What is inequality?

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Given that, an online furniture store sells chairs for $100 each and tables for $450 each. Every day, the store can ship a maximum of 24 pieces of furniture and must sell no less than $4500 worth of chairs and tables and  5 tables are sold,

According to question,

450*5 = 2250

4500 - 2250 = 2250

Since, each chair is sold for $100, therefore,

2250/100 = 22.5

≈ 23

Since, 5 tables are already sold,

23 + 5 = 28

This is a contradiction to the given conditions, because the problem is saying the maximum amount they can ship is 24 and 28 is larger than 24.

Hence, there is no answer to the problem.

For more references to the inequality, click;

https://brainly.com/question/28823603

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It costs a company $20 per box to make pocket-sized stuffed animals. The company also has a fixed manufacturing cost of $2300. The owners are trying to calculate their cost for making boxes of animals. a. Identify the variables in this relationship and indicate which would be the independent variable and which would be the dependent variable.​

Answers

Answer:

We want to write the cost equation for the company.

First, we know that:

It cost $20 per box.

There is a fixed cost of $2300.

Then the only variable will be the number of boxes that they make.

Where the number of boxes is the independent variable (the company can decide the number of boxes that they make) and the dependent variable will be the cost (the cost changes as the number of boxes change).

Then we can write the cost equation as:

C(x) = $20*x + $2300.

Where x is our variable, the number of boxes made by the company.

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