1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saw5 [17]
3 years ago
14

The work of a student to solve the equation 2(5y − 2) = 12 + 6y is shown below:

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0
We know that Step 1 is correct, because it is just a restatement of the equation. Therefore, we can eliminate Step 1:

2(5y – 2) = 12 + 6y

In Step 2, the student tried using the Distributive Property. The Distributive Property can be written as one of the two following formulas:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we'll use the second formula. Substitute any known values into the equation above and simplify:

2(5y – 2) = 2(5y) – 2(2)
2(5y – 2) = 10y – 4

In Step 2, the student calculated 2(5y – 2) to equal 7y – 4. However, we have just proven that 2(5y – 2) is equal to 10y – 4.

The student first made an error in Step 2, and the correct step is:

Step 2: 10y – 4 = 12 + 6y

I hope this helps!
You might be interested in
One Solution<br>no solution <br>infinitely many solutions<br>3x + 9 + 4x + x =<br>_x+_​
ss7ja [257]
All you need to do it combine like terms.

3x + 9 + 4x + x

(3x + 4x + x) + 9

8x + 9

i hope this was helpful for you!
8 0
3 years ago
What is ten times ten
Snezhnost [94]
10x10=100 that the answer
8 0
3 years ago
Read 2 more answers
So the polynomial 24r squared represents the surface are of a cube a : determine the polynomial that represents the area of one
Naddika [18.5K]

Answer:

a. 4r² b. 2r c. 6 cm

Step-by-step explanation:

The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.

Now, equating both expressions, 6L² = 24r²

dividing both sides by 6, we have

6L²/6 = 24r²/6

L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².

b.  Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have

√L² = √4r²

L = 2r

So, the polynomial that represents the length of an edge of the cube is L = 2r

c. The length of an edge of the cube is L = 2r. When r = 3 cm.

L = 2r = 2 × 3 cm = 6 cm

So, the length of an edge of the cube is 6 cm.

5 0
3 years ago
Rebecca has 12 photos she wants to hang side by side on her wall.A. If she only wants to display 8 of the photos, in how many wa
Mariana [72]

A.

If she will choose 8 from 12 photos, the total number of ways she can choose is given by a combination of 12 choose 8, since the order of the photos doesn't matter.

The formula for a combination of n choose p is:

C(n,p)=\frac{n!}{p!(n-p)!}

For n = 12 and p = 8, we have:

C(12,8)=\frac{12!}{8!(12-8)!_{}}=\frac{12\cdot11\cdot10\cdot9\cdot8!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495

So there are 495 ways.

B.

If she wants to arrange the 12 photos, the total number of ways is given by the factorial of 12:

12!=12\cdot11\cdot10\cdot9\cdot8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2=479001600

There are 479,001,600 ways.

C.

Since 10 photos already have specific places, we need to calculate the number of ways to arrange the other two photos in the two remaining places.

In this case, there are only 2 ways of organizing the remaining two photos:

Photo 1 first, photo 2 last, or photo 1 last and photo 2 first.

6 0
1 year ago
How divide 27 in 624
Fudgin [204]
The answer is 89.14. 624:27
5 0
3 years ago
Read 2 more answers
Other questions:
  • The circumference of the earth is about 40050 km. Which of the following is the closest approximation of the diameter? Use 3.14
    14·1 answer
  • What is the measure of ∠PQS ?
    9·1 answer
  • Determine the slope of the line y = -213x - 3/2
    6·1 answer
  • Pls help me i will mark brainliest i just need the right answer
    14·2 answers
  • Torrie could buy 8 jars of Jiffy peanut butter for $27.12 or 7 jars of Peter Pan peanut butter for $26.53. What is the differenc
    11·1 answer
  • A truck is traveling at a constant speed. The diagram represents the truck's distance and time. What is the speed of the truck?
    13·1 answer
  • You have a 25 cm piece of ribbon. How many cuts do you need to make obtain the greatest number of pieces, where each piece is di
    12·2 answers
  • Can someone help me simplify and write in power form and show me step by step how to do it for both problem 8 and 9?
    9·1 answer
  • Which of the following best describes the graph below?
    11·1 answer
  • Hayley so 20 tickets to the school play for total of $225. Early bird tickets were $10 regular priced tickets are $15. Wright an
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!