1. Grace was given the equation 2x + 20 = 15. She decides to add 10 to both sides of the equation. a.) Is that an acceptable move? b.) What would her new equation be?​

Answers

Answer 1

9514 1404 393

Answer:

yes2x +30 = 25

Step-by-step explanation:

Adding the same number to both sides of the equation is an acceptable move. The addition property of equality tells Grace that the value of the variable will remain unchanged by such a move.

Her new equation would be ...

  2x +20 +10 = 15 +10

  2x +30 = 25 . . . . the result of Grace's move

_____

Additional comment

There may be very good reasons why Grace would want to do that. If solving the equation is Grace's intent, that move would be counterproductive. For the purpose of solving the equation, it would be more productive to either subtract 20 from both sides, or divide both sides by 2. These steps would give, respectively, ...

  2x = -5

  x +10 = 7.5


Related Questions

I NEED ANSWER ASAP PLEASE
NEED HELP

Answers

That’s all I know, I’m not that smart when it comes to math

A large container for water weighs 21 pounds. If a gallon of water weighs 8.34 pounds, what is an equation that relates the weight of the
water and the container, W. in pounds and the amount of water, A, in gallons? (1 point)
W

Answers

Answer:

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Step-by-step explanation:

From Physics we understand that conversions are represented by the following linear equation:

[tex]u' = r\cdot u[/tex] (1)

Where:

[tex]u[/tex] - Original value, measured in original unit. (pounds)

[tex]r[/tex] - Conversion value, measured in final unit per original unit. (gallons per pound)

[tex]u'[/tex] - Final value, measured in final unit. (gallons)

If we know that [tex]u' = A[/tex], [tex]u = W[/tex] and [tex]r = \frac{1}{8.34} \,\frac{gal}{lbm}[/tex], then the equation is:

[tex]A = \frac{W}{8.34}[/tex]

The equation that relates the weight of the water and the container in pounds and the amount of water in gallons is [tex]A = \frac{W}{8.34}[/tex].

Pls help, the question is in the photo.

Answers

it’s B. the answer is 10x+40 and that is just the answer in shorter format.

Basketball shoes are on sale for 22% off. What is the regular price if the sale price is $42?​

Answers

Answer:

x =53.85

Step-by-step explanation:

Let x be the original price

If the price is 22% of, you will pay 100% -22% = 78%

x * 78% = 42

Change to decimal form

.78x = 42

Divide each side by .78

.78x/.78 = 42/.78

Rounding to the nearest cent

x =53.85

The answer is X= 53.85

Robert say's he needs 250 plastics sleeves for his baseball card collection , He has 3084 baseball cards . Each sleeves holds 12 cards do you agree With Robert?

Answers

Answer:

no, he needs 257 sleeves

Step-by-step explanation:

3,084 ÷ 12 = 257

d+g/h for d=35, g=19 and h=6
A. 9
B. 2.7
C. 7.3
D. 8

Answers

Answer:

PLZ MARK ME AS BRAINLIST

Step-by-step explanation:

THE CORRECT ANSWER IS 9...

HOPE IT HELPS...

DNDNDNDN

SNSNDNDN

SBSNDNXN D DXBNXF D XNXJXNXN

SNDNXNDBDNZJXNXDNSKSKDN

DNDNDN

NDNDSNSNSNSND

SNDNDNDN

Suppose you deposit $600 in a bank account with a simple interest rate of 2.5%. You want to keep
your deposit in the bank long enough to earn at least $120 in interest. How long should you keep your
deposit in the bank?
To earn at least $120 interest, you should keep your deposit in the bank for year(s).

Answers

Answer:120/2.5%

Step-by-step explanation:

I really need help on this one too please!

Answers

Answer:

53 degrees

Step-by-step explanation:

a complementary angle is 90 degrees and it's split, if one is 47 degrees, you do 90-47 which equals 53

Well it’ll be 53 because it’s the the measure of the 1 no se

Write a problem in which $180 would be a reasonable answer

Answers

Answer:

One person collects $60  in a week what how many money will it have?

Step-by-step explanation:

someone please help me i am so bad with point slope stuff
Write the equation of the line that passes through the points (2,−6) and (6,-6).
Write the equation of the line that passes through the points (9,8)and (6,3).
Write the equation of the line that passes through the points (-9,-4) and (-9,-4).
What is the equation of the line that passes through the point (−8,5) and has a slope of 0?
What is the slope of the line that passes through the points (-2, 7)and (2, -5).
What is the slope of the line that passes through the points (6, -5)and (6, -8).

Answers

Answer:

1.) y = -6

2.) y = 5/3x - 7

3.) y = 5

4.) y = -3x + 1

5.) x = -3

Step-by-step explanation:

So the equation you want to use is this:   [tex]\frac{y2-y1}{x2-x1}[/tex]

1.) Plug in

[tex]\frac{-6 - (-6)}{6 - 2} \\\\\frac{0}{4} = 0\\[/tex]

This line is zero slope to find the y-intercept get one of you points and plug them and the slope into this equation y = mx+ b. We will use (2,-6)

-6 = 0(2) + b (b represents y-intercept) (0*2=0)

-6 = b

So the equation is y = -6

2.) Do the same thing.

[tex]\frac{3-8}{6-9} \\\\\frac{-5}{-3} =\frac{5}{3}[/tex]

It's positive because when you divide a negative by a negative you get a positive. Plug in a point (6, 3) y = mx + b (b represents y-intercept)

3 = 5/3(6) + b (5/3*6 = 10)

3 = 10 + b (subtract 10 on both sides)

-7 = b

y = 5/3x - 7

3.) For this one you are just going to point slope form. y - y1 = m(x - x1)

Plug in

y - 5 = 0(x - (-8))

y - 5 = 0 (add 5 to both sides)

y = 5

4.) Do [tex]\frac{y2 - y1}{x2 - x1}[/tex] for this one

Plug in

[tex]\frac{-5 - 7}{2 - (-2)} \\\\\frac{-12}{4} = -3[/tex]

So the slope is -3. Plug into y = mx + b with the point (2, -5)

-5 = -3(2) + b (b represents y-intercept)

-5 = -6 + b (add 6 to both sides)

1 = b

The equation is y = -3x + 1

5.) Do the same thing as #4

[tex]\frac{-8 - (-5)}{6 - 6} \\\\\frac{-3}{0}[/tex]

This slope is undefined

Since you can't divide by 0 the equation would be

x = -3

Hope this helps ya!!

help me plz i really need help

Answers

Answer:

I think the answer is C it may not be right but I think it is

Two cars head toward each other from opposite ends of a freeway 2286 miles long. If the speed of the first car is 68 miles per hour and the speed of the second car is 59 miles per hour, how long will it take before the cars pass each other? hours​

Answers

Answer:

Step-by-step explanation:

multiply 68*59

Find the measure of angle J

Answers

Answer:

Step-by-step explanation:

Equals 23x

Boris buys candy that costs $7 per pound. He will spend at least $63 on candy. What are the possible numbers of pounds he will buy?

Answers

Answer:

Anything above 9

Step-by-step explanation:

63/7=9

What is the percent change of 500 to 100

Answers

Answer:

400%

Step-by-step explanation:

First, work out the difference (decrease) between the two numbers you are comparing. 500-100=400

Next, divide the decrease by the original number and multiply the answer by 100. 400/100=4

4 x 100=400

Hope I helped!

valor de x de (5x-20) 85

Answers

Answer/valor de x is x=21

For which of the following sets of ordered pairs will the slope between the two points be 2/3?
O (2, -1) and (4,5)
O (3,7) and (9, 11)
O (7,6) and (5,3)
O (3,-7) and (9,-11)​

Answers

Answer:

(2,-1) and (4,5)

Step-by-step explanation:

Answer:

(3,7)and(9,11)

Step-by-step explanation:

First, you do (3,7)= (3)x1 ; (7)y1. Then, (9,11)= (9)x2 ; (11)y2 and Finally,[tex]\frac{11-7}{9-3}[/tex] =[tex]\frac{4}{6}[/tex] which simplifies to [tex]\frac{2}{3}[/tex]

Find the average rate of change of h(x) = - x ^ 2 + 3x + 3 from x = 2 to x = 6 .

Answers

Answer:

The average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

Step-by-step explanation:

Given the function

[tex]h\left(x\right)\:=\:-x^2\:+\:3x\:+\:3[/tex]

Putting x = 6

[tex]h\left(6\right)\:=\:-\left(6\right)^2\:+\:3\left(6\right)\:+\:3[/tex]

         [tex]=-36+18+3[/tex]

          [tex]=-15[/tex]

Putting x = 2

[tex]h\left(2\right)\:=\:-\left(2\right)^2\:+\:3\left(2\right)\:+\:3[/tex]

         [tex]= -4 + 6 +3[/tex]

         [tex]= 5[/tex]

The change in y from 2 to 6 is

Δy = -15 - 5

    = -20

The interval from 2 to 6 has a width of

Δx = 6 - 2

     = 4

Therefore, the average rate of change is

Δy ÷ Δx = -20 ÷ 4

Δy/Δx = -20/4

          = -5      

have of a certain number is 3more than the number​

Answers

The answer is -6. Half of -6 is -3 and -6 + 3 = -3

Which function describes this graph ?

Answers

the last option is the right one

I WILL GIVE BRAINLIEST!!

Answers

Answer:

35

Step-by-step explanation:

In right triangle ABC with right angle B, the sin 48° is equal to the cosine of what angle measure?

Answers:

48°

42°

90°

52°

Answers

Answer:

42

Step-by-step explanation:

from the trigonometric identity

[tex]sin \beta =cos(90 -\beta )[/tex]

if [tex]\beta[/tex]=48 hence

[tex]90-48=42[/tex]

hence

[tex]sin48=cos42[/tex]

The endpoints of a side of rectangle ABCD in the coordinate plane are at A (3,9) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (9,2).
The equation is

Answers

Answer:

y = - 4x + 38

Step-by-step explanation:

A(3, 9)

B(5, 1)

[tex]m_{AB}[/tex] = [tex]\frac{1-9}{5-3}[/tex] = - 4

CD║AB

C(9, 2)

y - 2 = - 4(x - 9)

y = - 4x + 38

If the price of the early bird session is 2x - 3 and the price of the mid-morning session is 5x + 6, find an expression that represents difference in the price between the mid-morning session and the early bird session?

Answers

Apply distributive property
(5x+6)-(2x-3)
=5x+6-2x+3 arrange like terms
Simplify =5x-2x+6+3
Equals 3x+9 final answer

What is the volume for 14 8 10 10 10 8?

Answers

Answer:

I believe volume is three dimensions. And thus three terms, so I don't believe you have the right setup. Or you need to clarify something somewhere.

Step-by-step explanation:

4.) What is the area of this shape?​

Answers

Answer:

Its blurry, can you take another picture?

Step-by-step explanation:

Answer:

1456 square units

Step-by-step explanation:

The shape can be considered as the combination of a square with the side of 28 and a triangle with base of (28 + 10 + 10) and the height of 28

Then the area of the  shape is:

28*28 + 1/2*48*28 = 784 + 672 =1456 square units

Jennifer is renting a bicycle to ride along the beachfront. The rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours?

Answers

Answer:

y = 1.75n + 3

Step-by-step explanation:

Answer:

1.75+3=t

Step-by-step explanation:

The area of a soccer field is (24x? + 100x + 100) mº. The width of the field is (4x + 10) m. What is the length? A (3x + 10) m C (6x + 10) m B (6x + 1) m D (8x + 2) m

NEED HELP FAST ​

Answers

Answer:

The correct answer is C

19. What is the value of the expression below?
9 + (7 x 4) - 13

Answers

Answer:

24

Step-by-step explanation:

9+(7x4)-13

9+28-13

37-13

24

24 is the correct answer

Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:

1) Let x = 0.5

2) 10x = 5.5

3) 10x = 5.5
-x = 0.5
________
9x=5
what is the fraction equivalent of 0.5?
A. 9/5
B.4/9
C. 5/9
D. 5/13

Answers

Answer:

C. 5/9

Step-by-step explanation:

10x = 5.5

  -x = 0.5

9x = 5

x = 5/9

therefore, the answer is C. 5/9

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