In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain. Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation. What did you include in your response? Check all that apply. Both boys are correct. Both methods correctly use the properties of equality and inverse operations. Both methods isolate the variable on one side of the equals sign.

Answers

Answer 1

Answer:

Correct option is "Both boys are correct".

Step-by-step explanation:

The equation is:

6x - 2 = -4x + 2

Using Spencer's method:

        6x - 2 + 4x = -4x + 2 + 4x

        10x - 2 = 2

        10x = 4

         x = 0.40

Using Jeremiah's method:

        6x - 2 - 6x = -4x + 2 - 6x

        - 2 = -10x + 2

        10x = 4

         x = 0.40

Correct option is "Both boys are correct".


Related Questions

g(x)=x+2 graph the parent function

Answers

Answer:

Step-by-step explanation:

25 penalties decreased by 32% is __penalties.

Answers

If you decrease something by 32%, you are left with 68%

0.68(25) = 17
The answer is 8 becuase 25 time .32 becuase 32%=.32

I need to know what equals y

Answers

Since a^2 - b^2 = 1, the value of y = 1 because x=1 and 1^2 - 1^2 = 0

Bacteria doubles every 10 minutes. If you start with 2 bacteria in a petri dish, how many bacteria will there be after 40 minutes?

Answers

Answer: I think the answer is 32 bacteria after 40 minutes.

Step-by-step explanation:

I think that's right because the bacteria that have previously multiplied will also be multiplying. 2 becomes 4, 4 becomes 8, etc. until you've reached 40 minutes. (I'm honestly unsure, but I think this is right?) I hope this helped!

Write the number for one million six hundred thousand .

Answers

Answer:

1,600,000

Step-by-step explanation:

Answer:

1001600

Step-by-step explanation:

Upload the worksheet with your constructions below.

Answers

Answer:

I attached a pic of my work, its 100% correct.

Its a bit messy....

anyone whos great at math?!?!?!?!!? the question is [tex]-x^2 -4xy+y^2 when x=-5 and y=-2[/tex]
I ALSO NEED TO SHOW MY WORKK PLAESEEEEE

Answers

Answer:

-19

Step-by-step explanation:

x= -5       y = -2

-x^2 - 4xy + y^2

- -5^2 -4(-5 x -2) -2^2                      Plug in

+ 5^2 -4(-5 x -2) -2^2                      Change the signs for - -5

  5^2 - 2^2 - 4(10)                           Place Liked Terms together

  25 - 4 - 40                                    Subtract

      21 - 40

         -19

 

please help this due today by 3:30

Answers

Answer:8

Step-by-step explanation

Earns $30 but got tipped $6 of the $30 so you subtract $30 and $6 and that give you $24.Then divide the amount of hours he worked which is 3 to 24.

24/3=

$8 per hour

Answer:

10 Smackeroos

Step-by-step explanation:

Which graph represents 2x − 5y ≥ − 20

Answers

Answer:

Go to desmos and it will answer literally all of your graphing questions. Just type in desmos graphing calculator.

Step-by-step explanation:

Which equation has no solution?

Answers

Answer:

C.

Step-by-step explanation:

C.

5/8x + 25 = 3/8x + 15 + 1/4x5/8x + 10 = 3/8x + 2/8x5/8x + 10 = 5/8x10 = 0

idkidcbutanswer hey heres your brainliest!!! (only idkidcbutanswer will get brainliest on this i owe them)
4-(-4)=?

Answers

Answer:

the answer is -8

Step-by-step explanation:

this is because when you subtract four from negative four you add the negative four and it becomes 8 but since it'snegative it would be -8

Answer:

i got 8

Step-by-step explanation:

ur questions range on so many level, ngl

ugh god im getting sick of this lol​

Answers

Hey the answer to your question is -2 . :))

A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figure).

Answers

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

A.

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15} [/tex]

[tex] tan(\theta) = 1.8667 [/tex]

[tex] \theta = tan^{-1}(1.8667) [/tex]

[tex] \theta = 61.82 [/tex] (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

[tex] tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100} [/tex]

[tex] tan(\theta) = 0.28 [/tex]

[tex] \theta = tan^{-1}(0.28) [/tex]

[tex] \theta = 15.64 [/tex] (2 d.p)

B.

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

[tex] tan(\theta) = \frac{opp}{adjacent} [/tex]

Plug in the values

[tex] tan(40) = \frac{28}{x} [/tex]

Multiply both sides by x

[tex] x*tan(40) = 28 [/tex]

Divide both sides by tan(40)

[tex] x = \frac{28}{tan(40)} [/tex]

[tex] x = 33.37 [/tex] (2 d.p)

please help me fast
I give you 100 point

Answers

do u need tbem answered?

Answer:

a. 372

b. 708

c. 451

d. 805

e. 965

f. 620

Step-by-step explanation:

You are running a fuel economy study. One of the cars you find is blue. It can travel 38 1/2 miles on 1 1/4 of gasoline. Another car is red. It can travel 21 3/5 on 4/5 of gasoline. What is the unit rate for miles per gallon for each​ car? Which car could travel the greater distance on 1 gallon of​ gasoline?

Answers

Answer:

Blue car: 30.8 miles per galon

Red car: 27 miles per galon

Blue car can travel longer distances on one galon!

Step-by-step explanation:

Blue car:

38 1/2=77/2=38.5 miles

1 1/4=5/4=1.25 gasoline

38.5/1.25=30.8miles per galon

Red car:

21 3/5=108/5=21.6 miles

4/5=0.8 gasoline

21.6/0.8=27 miles per galon

Matt runs in the park every day at the average rate of c meters per minute.

b:

If Matt runs triple his regular speed for 20 minutes, what distance would he cover?

Answers

Answer: 60c

Step-by-step explanation: 3c times 20. This is the right answer I hope it helps <3

❗️Help needed please ❗️

Answers

Answer:

prove it by S.S.S axiom bro

Step-by-step explanation:

statement                                reason

1.in triangle ADB and ADC

a. AB=AC                                    a.given

b.BD=CD                                     b. radii of same circle

c. AD=AD                                      c. common side

2. ∵triangle ADB is congurent to 2. by S.S.S axiom

  ADC

Answer:

AD cuts BC at I => I is the midpoint of BC => BI = CI

ΔAIB and ΔAIC have:

AB = AC

BI = CI

m∠ABC = m∠ACB ( because ΔABC is a  isosceles triangle)

=> ΔAIB ≅ ΔAIC (sas)

=> m∠BAD = m∠CAD

ΔADB and ΔADC have:

m∠BAD = m∠CAD

AB = AC

AD is the common edge

=> ΔADB ≅ ΔADC (sas)

Step-by-step explanation:

Joseph’s lunch at a restaurant costs $13.00, without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tip without tax? *

Answers

Answer:

17% of 13 is 2.21

13 + 2.21 = 15.21

Step-by-step explanation:

Joseph's lunch costs = $13 without taxes

He leaves tip for the waiter = 17% of cost of the lunch

= 17% of $13

= 13 ×  

= ( 13 × 0.17)

= $2.21

Total cost of lunch + tip = 13 + 2.21

                                      = $15.21

Mr. Bell earns a yearly salary of $34,567. Mr. Lee earns $22,999 per year. How much more does Mr. Bell earn
per year?

Answers

Answer:

34,567-22,999=11,568

Follow the order of operations.

(4-1 + 8 ÷ 8) muliplied by 5

Answers

Answer:

20

Step-by-step explanation:

(4-1 + 8 ÷ 8 )= 4

4 x 5 = 20

A stovetop burner on medium reaches 95°C. Which will also receive a flow of heat directly from the burner

Answers

Answer:

The surrounding air

Step-by-step explanation:

Answer:

the surrounding air

Step-by-step explanation:

The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *

Answers

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

Which is the simplified form of the expression (6 Superscript negative 2 Baseline times 6 Superscript 5 Baseline) Superscript negative 3?

Answers

-3

Step-by-step explanation:

(6-2* 6+5)-2

Answer:

1/6^9

Step-by-step explanation:

Can anyone give me the answer?

Answers

Answer:

The 2nd one/Green

Step-by-step explanation:

A plane figure with five straight sides and five angles.

3 is the answer to your question

what dose –2 + 3 equal

Answers

Answer:

-2 + 3 = 1

Step-by-step explanation:

Brainliest? uwu

15 5/12 minus 11 1/8 A. 4 7/24 B. 4 7/12 C. -4 1/3 D.-4 7/24

Answers

Answer:

A. 4 7/24

Step-by-step explanation:

subtract 15 - 11 which equals 4

then do 5/15 - 1/8 =7/24

2(x+y) = 5
How would I solve for x ?

Answers

After you reach 2x=5-2y you take the 2 and put it on the other side by division so you can end up with only x on the left side so in the end it would be x=(5-2y)\2

Please help! What is the slope of the line graphed on the coordinate plane?

Answers

Answer:

The slope is 3/4

Step-by-step explanation:

You can Y2-Y1/X2-X1 to find the answer to this question

Since the points are (-2,3) and (2,6) it will be..

6-3/2+2   ** the 2 becomes a plus in the denominator because negative and negative is positive

3/4 is the slope

Check my answers plz <3\

Answers

Answer:

all three are correct

Step-by-step explanation:

3)
What is the range of this function?

Answers

Answer:

positive 3

Step-by-step explanation:

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