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seropon [69]
3 years ago
7

2. Follow the process used to simplify the expression. Tell if it was done correctly. If not, explain and correct the error by s

howing your own work.
2/3 (6k – 9) + 8k – 2
4k - 9 + 8k - 2
12k - 11​
Mathematics
1 answer:
wariber [46]3 years ago
5 0

Answer:

No, the simplification is not done correctly. When multiplying

\frac{2}{3}\times-9 we should get -6 instead of -9.

the correct answer is 12k-8

Step-by-step explanation:

We need to tell if process was done correctly. If not, explain and correct the error by showing your own work.

The steps given are:

\frac{2}{3}  (6k - 9) + 8k - 2\\=4k - 9 + 8k - 2\\=12k - 11

No, the simplification is not done correctly. When multiplying

\frac{2}{3}\times-9 we should get -6 instead of -9.

Correcting the error:

\frac{2}{3}  (6k - 9) + 8k - 2\\=4k - 6 + 8k - 2\\=12k - 8

So, the correct answer is 12k-8

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How many 8-ounce cups can you fill from 9 gallons of juice
Anastasy [175]
1 gallon = 4 quarts
1 quart = 32 ounces
1 gallon = 128 ounces
9 gallons = 1,152 ounces
Filling 8 ounce cups = 1,152 / 8 = 144 cups
3 0
3 years ago
Can someone please help me with the “Challenge” question??
IRINA_888 [86]

Answer:

12.5

Step-by-step explanation:

A 10x10 grid would have 100 units. If you divide it into 8 equal units you would do:

100 / 8

Which gets you, 12.5

4 0
3 years ago
How I simplify this real life expression and show unit analysis?
Anton [14]

The value of the real life expression is, simple interest = $12.5

<h3>How to simplify this real life expression and show unit analysis?</h3>

The real life expression is given as:

simple interest = ($100) (0.05/year) (2.5 years

Divide 1 year by 1 year

simple interest = ($100) (0.05) (2.5)

Rewrite the equation as a product of factors

simple interest = ($100) * (0.05)*  (2.5)

Evaluate the product of 0.05 and 2.5

simple interest = ($100) * 0.125

Evaluate the product of $100 and 0.125

simple interest = $12.5

Hence, the value of the real life expression is, simple interest = $12.5

Read more about expressions at:

brainly.com/question/723406

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6 0
1 year ago
A student union cafeteria worker checked the weight of ten half-pound bags of whole bean coffee and recorded the following weigh
Likurg_2 [28]

Answer: σ = 0.0154

Step-by-step explanation:

1. Calculate the mean for the recorded data.

(0.48 + 0.51 + 0.47 + 0.49 + 0.49 + 0.50 + 0.52 + 0.48 + 0.49 + 0.51)/10 =

4.94 / 10 = 0.49

The mean is represented with the greek letter μ, so μ = 0.49

2. For each element in the serie, subtract the mean (0.49) and square the result

(0.48 - 0.49)^2 = (-0.01)^2 = 0.0001

(0.51 - 0.49)^2 = (0.02)^2 = 0.0004

(0.47 - 0.49)^2 = (-0.02)^2 = 0.0004

(0.49 - 0.49)^2 = 0

(0.49 - 0.49)^2 = 0

(0.50 - 0.49)^2 = (0.01)^2 = 0.0001

(0.52 - 0.49)^2 = (0.03)^2 = 0.0009

(0.48 - 0.49)^2 = (-0.01)^2 = 0.0001

(0.49 - 0.49)^2 = 0

(0.51 - 0.49)^2 = (0.02)^2 = 0.0004

So we get these results: 0.0001, 0.0004, 0.0004, 0, 0, 0.0001, 0.0009, 0.0001, 0, 0.0004

3. Now, we calculate the mean of these squared differences

(0.0001 + 0.0004 + 0.0004 + 0 + 0 + 0.0001 + 0.0009 + 0.0001 + 0 + 0.0004) / 10 =

(0.0024) / 10 = 0.00024

4. Now to get the standard deviation, we need to get the root of this last value (0.00024).

√(0.00024) = 0.0154

5. So that will be our standard deviation value:

σ = 0.0154

DONE!

7 0
3 years ago
PLEASE HELP!! WILL MARK BRAINLY!!
denpristay [2]

Answer:

  {4}

Step-by-step explanation:

It is helpful to let a calculator or spreadsheet perform the function evaluations for you. The two functions have the same value only for x=4 in the domain.

  f(4) = 13 = g(4)

_____

The functions also have the same value for x=-2, but that is not in the domain given.

6 0
3 years ago
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