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ankoles [38]
2 years ago
7

Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expressio

n using no more than one set of parentheses.
4(3x+5y+2z)+3(x−z) ​​

​

• Tom wrote 12x+20y+8z

​

• Jenna wrote 5(3x+4y+z)

​

• Chris wrote 15x+20y−5z

​

Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?

​

​Answer ​_______ wrote an equivalent expression.

​Show your work to prove which expressions, if any, are equivalent.
Mathematics
2 answers:
Tems11 [23]2 years ago
5 0
Chris wrote an equivalent expression.

12x+20y+8z+3x-3z
15x+20y-5z
Diano4ka-milaya [45]2 years ago
5 0

Answer:

 

15x+20y-5z

12x+20y+8z+3x-3z

Chris wrote the equivalent expression

Step-by-step explanation:

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What is 110.4 x 10.2 rounded to the nearest whole number
nexus9112 [7]

Answer:

1,126 or 1100

Step-by-step explanation:

This is the answer because:

1) 110.4 x 10.2 is equal to 1,126.08

2) 1,126.08 rounded to the nearest whole number is 1,126 because the number before 6 is is 0 which makes the number stay the same

3) The answer can also be 1100 because you first have to round 110.4 and 10.2 to the nearest whole numbers which will get you 110 and 10 since the rounding numbers are below 5

3) Then, multiply 110 and 10 which is 1100

Hope this helps!

4 0
3 years ago
An author published a book which was being sold online. The first month the author sold 21000 books, but the sales were declinin
Wittaler [7]

Answer:  119,616

You may have to erase the comma when inputting the answer.

=======================================================

Explanation:

The author sells 21,000 books in the first month.

Then they sell 21,000*(1-0.12) = 21,000*(0.88) = 18,480 in the second month.

Then they sell 18,480*(1-0.12) = 18,480*(0.88) = 16,262.4 = 16,262 in the third month.

And so on. These values follow a geometric sequence with first term a = 21,000 and common ratio r = 0.88

We can think of the 0.88 as 88% of the original value (since losing 12%, we keep the remaining 88%)

-------------

Use the formula below to sum the first 9 terms of the geometric sequence

Plug in a = 21000 and r = 0.88

S_n = a*\frac{1-r^n}{1-r}\\\\S_9 = 21000*\frac{1-0.88^9}{1-0.88}\\\\S_9 \approx 21000*\frac{0.6835216}{0.12}\\\\S_9 \approx 21000*5.6960133\\\\S_9 \approx 119,616.2793\\\\S_9 \approx 119,616\\\\

The author sold about 119,616 books over the course of the first nine months.

4 0
2 years ago
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT
Nat2105 [25]
I think it would be 6 units
5 0
3 years ago
Read 2 more answers
What is 28 over 35 reduced to
USPshnik [31]
We can simplify by 7

28/7 = 4
35/7 = 5

Answer- 4/5
8 0
3 years ago
Read 2 more answers
Is 48 a perfect cube? Explain your reasoning.
Ksivusya [100]

Answer:

No

Reasoning:

If something is a perfect cube, it is able to be put under a cube root (\sqrt[3]{..}) and will result in an integer (a non-decimal number > 0, basically).

So let's calculate \sqrt[3]{48}, and see if the result is an integer.

\sqrt[3]{48} = 3.634.......

As you can see, the result is not an integer, therefore 48 is not a perfect cube.

8 0
2 years ago
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