Solve the equation, justify each step with an algebraic property:
-8=-18+2x

Answers

Answer 1
-8 = -18 + 2x....addition property....add 18 to both sides
18 - 8 = 2x...simplify
10 = 2x....division property...divide both sides by 2
10/2 = x....simplify
5 = x

Related Questions

can someone check my answer? also tell me what property I used.

Answers

It is not having a definite property it is a way commonly used with algebraic expressions
26 = 8 + x (here, we put x instead of the number we don't know)
you can take 8 to the other side with 26 but it will be minus instead of plus
26 - 8 = ×
18 = x

there 12 beads on the bracelet. 8 of the beads are purple. what percent of the beads are purple

Answers

There are 12 beads on the bracelet and 8 of the beads are purple. What percent of the beads are purple?

The fraction [tex]\frac{8}{12}[/tex] represents the number of purple beads on the bracelet out of all the beads on the bracelet.

To find what percent of the beads are purple, we can turn the fraction [tex]\frac{8}{12}[/tex] to a percent.

We can first reduce the fraction [tex]\frac{8}{12}[/tex] by dividing both the numerator and denominator by the Greatest Common Factor of 8 and 12 using 4.

8 ÷ 4 = 2

12 ÷ 4 = 3

Our reduced fraction is [tex]\frac{2}{3}[/tex]

2 ÷ 3 = 0.66666666666667

0.66666666666667 × 100 = 66.666666666667%

Therefore, 66.666666666667% of the beads on the bracelet are purple.

WILL MARK BRANLIESTHELP ME PLZ
A jeweler needed two diamonds of exactly the same weight to make a ring. The first stone she selected weighed 0.642 carat, the second weighed 0.599 carat, and the third weighed 0.625 carat.
By how much did the heaviest stone outweigh the lightest?
0.043 carat
0.042 carat
0.041 carat
0.04 carat

Answers

I believe it’s 0.043
The heaviest stone weighs 0.642
The lightest stone weighs 0.599
If you subtract 0.642 and 0.599, you will get the answer
0.642-0.599= 0.43
0.43 is your answer. 

Last week Mark ran 31 miles more than Jack. Mark ran 46 miles .How many miles did Jack run

Answers

You take what Mark ran, 46 miles, and you see that Mark ran 31 more miles than Jack, so the equation would be 46-31, which would be 15 miles. So, Jack ran 15 miles.
Mark ran 31 miles more than jack and mark ran 46
Then
46-31 = 15 miles

Solve the formula for the variable y.
z = 4x + 2y

A. y=z/2+2x

B.y=z/2 -4x

C.y=z/2-2x

D.y=z-2x

Answers

answer:
C. y = z/2-2x

Which graph represents the solution set of the system of inequalities?

{3y≤2x+6
{ 2x+y>0 in one bracket

Answers

To find out, graph them, analyze, and check.
Graph them. 
You get the graph below. 
Check the answers. 
It looks like B matches. 
So, the answer is B.

what transformation transforms (a,b) to ( a, -b)?

a) a translation of 1 unit down
b)a translation of 1 unit up
c)a reflection over the y-axis
d)a reflection over the x-axis

Answers

reflection over the x axis. bc when u go over the x ur in quadrant 4 and thats where the y axis is negative.

Make a table of ordered pairs for the equation.



y=−13x+4y=−13x+4



Then plot two points to graph the equation.

Answers

Solution-

The given equation,

[tex]y=-13x+4[/tex]

Then, we have to calculate two points that satisfy the equation,

Calculating y for x = 0,

[tex]y(0)=-13(0)+4=4[/tex]

So, point (0, 4) satisfies the equation.

Calculating y for x = 1,

[tex]y(1)=-13(1)+4=-13+4=-9[/tex]

So, point (1, -9) satisfies the equation.

Plotting the graph taking this two points, as shown in the attachment.



A crack in a water main pipe leaks 7 gallons of water each hour. What volume of water has moved though the crack after 9 hours?

Answers

63 gallons of water. y=7h
7=7(9)
So if we know that 7 gallons of water goes through the pipe every hour, and we want to find how much water goes through the pipe after 9, we want to say,

7 gallons of water 9 times because there are 9 hours.

7 gallons of water 9 times is basically 7 * 9, or 63.

So 63 gallons of water has moved through the crack after 9 hours.

multiply (x+7) (x-7)

Answers

 (x+7) (x-7)
= x^2 - 49

using a^2 - b^2 = (A + b)(a - b)
hope it helps
foil the answer so it would be 2x-7x+7x-49 then you would combine like terms so the answer is 16x-49

assembly starts at three o'clock and ends at quarter past three how many minutes does assembly last

Answers

Answer:  "15 minutes" .
_______________________________________________________
Start time:  "3:00" .

End time:  "a quarter past three" = (1/4) hr after "3:00" ;
                                                        =  (1/4) * 60 minutes (after "3:00"); 
                                                        =  15 minutes (after "3:00").
End time:   "3:15" 
_____________________________________________________
The answer is:  "15 minutes" .
_____________________________________________________

How can you equivalent ratio in order to compare ratios more precisely ?

Answers

Answer: Ratios compare quantities using division. This means that you can set up a ratio between two quantities as a division expression between those same two quantities.

Please help me get this answer right

Answers

The instructions are right there:. "Round each number to the nearest whole number.". DO that !

25.311 ===> 25

4.65 ===> 5

Your ESTIMATE is 25 x 5 .
You don't expect it to be exactly right, but you can do it quickly in your head. That estimate is 125.

When you take a sharp pencil and actually work out all the decimals, it's actually 117.69615 .

But 125 was plenty close enough for what you need to know right now, and you didn't even have to go get your calculator.

Xin graphs the equation y= 4x-6. Select all the statements that are true. The graph is a curve line, The line passes through the origin, go on passes through the point(0,6) , The slope of the line is 4 , The Y intercept of the line is -6

Answers

Answer:

The slope of the line is 4.

The Y intercept of the line is -6.

Step-by-step explanation:

The slope intercept form of a line is

[tex]y=mx+b[/tex]           .... (1)

where, m is slope and b is y-intercept.

The given equation of line is

[tex]y=4x-6[/tex]             .... (2)

On comparing (1) and (2) we get

[tex]m=4[/tex]

[tex]b=-6[/tex]

It means the slope of the line is 4 , The Y intercept of the line is -6. the graph of a linear function is a straight line.

The value of y is -6 at x=0, so the line do not passes through the origin.

Therefore, the correct statements are "the slope of the line is 4  and the Y intercept of the line is -6".

The solutions are

The slope of the line is 4

The y-intercept of the line is –6

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y coordinate of second point

y₁ = y coordinate of point one

m = slope

x = x coordinate of second point

x₁ = x coordinate of point one

Given data ,

Let the equation be y = 4x - 6

Now , the equation is of the form y = mx + b where m is the slope and b is the y-intercept

Therefore , the slope of the equation is m = 4

And the y intercept is -6

Hence ,

The slope of the line and the y-intercept of the line is –6

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How do u get really smart

Answers

Haha, there isn't a thing that makes you 'really smart'. 

However, you can grow and improve your knowledge.

The more challenging material you expose yourself to, while putting in the effort to solve them, there's no doubt you'll definitely improve!

+ you can try exercising your brain every now and then by playing trivia games or reading books- do whatever interests you and helps you learn!
Getting really smart requires great knowledge. If you want to be the best one in the class, you should always practice and always try even if something is too hard. Making you try harder problems makes your brain active and going. It helps with fast thinking.  GETTING SMART IS A LOT OF WORK! I know, it sounds so boring, but that's what you JUST have to do. Being smart is being you. Put creativity into your work. BE yourself. If you build on the works of yesterday the reward will come tomorrow!

Is this graph discrete or continuous

Answers

Function: In the graph of a continuous function, the points are connected with a continuous line, since every point has meaning to the original problem.

The area of a rectangle is greater than or equal to 115 square cm. The width of the rectangle is 5 cm and the Length of the rectangle is x cm. Select the possible value of x

Answers

area= length*width
115= x * 5
115/5 = x
23 = x
So the length will be 23 cm.

Daniel's basic cell phone rate each month is $29.95. Add to that $5.95 for voice mail and $2.95 for text messaging. This past month Daniel spent an additional C dollars on long distance. His total bill was $62.35. How much did Daniel spend on long distance?

Answers

5.95 + 2.95 = 8.9
8.9 + 29.95 = 38.85
62.35 - 38.85 = 23.5 
So Daniel spent $23.50 on long distance calling 

Answer: Daniel spent $23.5 on long distance

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given.

So, Daniel's total bill (62.35) is equal to the sum of the cost of all the services: Basic cell phone rate (29.95); voice mail (5.95); text messaging (2.95); long distance (C)

Mathematically speaking:

29.95+5.95+2.95+C = 62.35

Solving for C

38.85+C =62.35

C =62.35-38.85

C =$23.5

Daniel spent $23.5 on long distance

what is the place value of the 8 in 0.829?

Answers

Answer: Tenths
The 8 is in the tenths place, the 2 is in the hundredths, and 9 in the thousandths
The answer is tenths because that the digit right behind the decimal.

what does g-7=15 equal to?

Answers

G - 7 = 15
To solve for G, you’d add 7 to the other side of the equal side to get your G alone, so then you’d know the value of G. That then is your answer.
G = 22

Hope that helped! :)

What is the product in lowest terms?
8/15 x -3/10. ( / means fractions)

1.-4/25
2. -3/35
3. -2/25
4. -1/5

Answers

8/15 x -3/10
= - 4/25

answer


1.   -4/25

The correct answer for product in lowest term of the expression [tex]\dfrac{8}{15} * \dfrac{-3}{10}[/tex]  is [tex]\dfrac{-4}{25}[/tex]. The correct option is 1.

To calculate the product of fractions in lowest terms, multiply the numerators together and multiply the denominators together, Then simplify the resulting fraction.

A fraction can be simplified in it's  lower term , if both the numerator and denominator after simplification have no common factor other than 1.

The given fractions are:

[tex]\dfrac{8}{15}[/tex]   and  [tex]\dfrac{-3}{10}[/tex].

To simplify, Multiply both numerator and denominator.

[tex]\dfrac{8}{15} * \dfrac{-3}{10}[/tex]

= [tex]\dfrac{-24}{150}[/tex]

Simplify further, Divide both numerator and denominator by their greatest common divisor, which is 6.

[tex]= \dfrac{\dfrac{-24}{6}}{\dfrac{150}{6}}[/tex]

=  [tex]\dfrac{-4}{25}[/tex]

The product of  [tex]\dfrac{8}{15}[/tex]  and  [tex]\dfrac{-3}{10}[/tex] in lowest terms  is  [tex]\dfrac{-4}{25}[/tex].   The correct option is  1.

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Which expression is equivalent to the given expression? −(2n−6)
A)−2(n−3)
B)2(n−6)
C)2n−6
D) 2n + 6

Answers

-2(2n-6) 

it has to be A) -2(n-3) because its a -

Answer:

Option A  [tex]-2(n-3)[/tex]

Step-by-step explanation:

we have

[tex]-(2n-6)[/tex]

Eliminate the parenthesis

[tex]-(2n-6)=-2n+6[/tex]

Verify each case

case A) [tex]-2(n-3)[/tex]

[tex]-2(n-3)=-2n+6[/tex]

therefore

[tex]-2n+6=-2n+6[/tex] -----> is true

case A is equivalent to the given expression

case B) [tex]2(n-6)[/tex]

[tex]2(n-6)=2n-12[/tex]

therefore

[tex]-2n+6\neq2n-12[/tex]

case B is not equivalent to the given expression

case C) [tex]2n-6[/tex]

we have that

[tex]-2n+6\neq2n-6[/tex]

therefore

case C is not equivalent to the given expression

case D) [tex]2n+6[/tex]

we have that

[tex]-2n+6\neq2n+6[/tex]

therefore

case D is not equivalent to the given expression

Lydia makes 10 pancakes she tops each pancake with for blueberries how many blueberries does Lydia use in all use the break apart and distribute strategy and draw a number bond to solve

Answers

four blueberries for each pancake. so- 4 x 10 = 40.
to check: 4 divided 40
distribute strategy: draw 10 circles. put four dots in each circle to represent blueberries. count all the dots

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of blueberries that Lydia will need is 40 blueberries.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Lydia makes 10 pancakes she tops each pancake with blueberries. Therefore, the total number of blueberries that Lydia will need is,

Total number of blueberries

= Number of pancakes × Number of blueberries used on each pancake

= 10 pancakes × 4 blueberries per pancake

= 40 blueberries

As per the distribution strategy, we can draw 10 circles and then 4 mini circles on each circle to represent blueberries. Therefore, we can make the drawing as shown below.

Hence, the total number of blueberries that Lydia will need is 40 blueberries.

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Find the prouduct

3/18 × 7/21

Answers

1/18 is the answer which is equivalent to 0.5 repeating.
it may be easier for you to simplify the fraction 2 for you multiply

Dara went on vacation to New York City 2012. She bought a $20 pass to ride the subway . Each time she rode the subway it cost her $2.25 . If she rode the subway 7 times , how much money was left on her pass at the end of her trip ?

Answers

$35.75 I think because she bought a pass which is $20 dollars and it cost her $2.25 per ride= 7 rides so 2.25 x 7 + 20
She spent 15.75, bc 7•2.25=15.75 which you Gould the subtract from 30 to get 4.25

Answer:4.25

what is the radious of a circle with a circumference of 13 ft?

Answers

Circumference = [tex] \pi [/tex] * D
Radius = [tex] \frac{13 / \pi }{2} [/tex]
= 2.06901426

On a field trip there were 5 girls for every 8 boys. how many girls attended the 130-student field trip?

Answers

50 girls attended the trip.
  80 boy + 50 girls = 130 total students
8x10 =80 
5x10=50 
 
multiply both by 10.
well there is no answer since you did not specify the amount of boy and girls on the field trip

A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball uniforms? Use the drop-down menus to explain.

The total cost for 11 uniforms is
1.264
1364
1480
1488

Answers

The Answer is 1364 because if you have 11 uniforms to purchase and the price for each is 124 then 11(124)=1364. 

The cost of 11 baseball uniforms will be the multiplication of 11 to 124 which is $1364 thus it is enough to buy the uniforms and the team will be left with $36 so option (B) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

Multiplication = to multiply any two or more numbers or variables called multiplication.

As per the given question,

Each uniform costs $124.

Number of uniforms needed to buy = 11

Cost of 11 uniform = 11 × 124 = $1364

The budget $1400 > $1364 therefore it is enough.

Hence "The cost of 11 baseball uniforms will be the multiplication of 11 to 124 which is $1364 thus it is enough to buy the uniforms".

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29,392.46
The 9 in the tens place is blank the value of the thousands place

Answers

The blank is .01 bcuz 9,000/.01 is 90. and that is the answer.


A city is paving a bike path. The same length of path is paved everyday. After 4 days, there are 8 miles of path remaining to be paved. After 6 more days, there are 5 miles of path remaining to be paved.

a. Explain how you know the situation can be modeled by a linear equation.

b. Write an equation that gives the distance (in miles) as a function of the number of days since the project began.

c. In how many more days will the entire path be paved?

Answers

Attached the solution with detailed work.

The linear equation is y = (-3/2)x + 14 and the number of days will be 10 days.

What is a linear equation?

It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.

The equation is referred to as a linear equation in one variable if just one variable is contained in the linear equation.

It is given that:

A city is paving a bike path.

The same length of the path is paved every day. After 4 days, there are 8 miles of path remaining to be paved.

After 6 more days, there are 5 miles of path remaining to be paved.

The coordinates are (4, 8) and (6, 5)

The linear equation can be modeled:

[y - 5]  = (5-8)/(6-4)[x-6]

y - 5 = -3/2[x - 6]

2y - 10 = -3x + 18

2y = -3x + 28

y = (-3/2)x + 14

Plug y = 0

(-3/2)x + 14 = 0

x = 28/3

x = 9.33 ≈ 10 days

Thus, the linear equation is y = (-3/2)x + 14 and the number of days will be 10 days.

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