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3 years ago

Is 3x+12-2x equivalent to x +12? Use two properties of operations to justify your answer.

Mathematics

2 answers:

aev [14]3 years ago

8 0

Answer:

Yes, x + 12

Step-by-step explanation:

Simplify the following:

3 x - 2 x + 12

Grouping like terms, 3 x - 2 x + 12 = (3 x - 2 x) + 12:

(3 x - 2 x) + 12

3 x - 2 x = x:

Answer: x + 12

Harlamova29_29 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

3x + 12 - 2x =

Use the commutative property of addition to change the order of the addition.

= 12 + 3x - 2x

Use the distributive property of addition over multiplication in reverse (which is factoring).

= 12 + x(3 - 2)

Do the operation: 3 - 2 = 1

= 12 + x * 1

Simplify x * 1 to just x.

= 12 + x

Use the commutative property of addition.

= x + 12

There you have x + 12 from 3x + 12 - 2x by using properties and operations.

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If the pattern continues how many cups of milk does George need to make 6 batches of muffins

alexdok [17]

Answer:

see explanation

Step-by-step explanation:

If we consider the differences between consecutive terms, that is

$\frac{3}{4}$ - $\frac{3}{8}$ = $\frac{3}{8}$

1 $\frac{1}{8}$ - $\frac{3}{4}$ = $\frac{3}{8}$

1 $\frac{1}{2}$ - 1 $\frac{1}{8}$ = $\frac{3}{8}$

To obtain the next term in the pattern add $\frac{3}{8}$ to the previous term.

batches = 5 ⇒ milk = 1 $\frac{1}{2}$ + $\frac{3}{8}$ = 1 $\frac{7}{8}$

batches = 6 ⇒ milk = 1 $\frac{7}{8}$ + $\frac{3}{8}$ = 2 $\frac{1}{4}$

6 0

3 years ago

Let the sample be 11, 3, 4, 3, 5, 7, 8, 12. What is the range of the sample?

grin007 [14]

Solution

- The Range of a dataset is simply the difference between the largest number and the smallest number in the dataset.

- In the dataset given, the largest number is 12 while the smallest number is 3.

- Thus, the Range of the dataset is

$12-3=9$

Range = 9

7 0

1 year ago

Offering 40 points and brainliest for answer

Nata [24]

In fact, this problem belongs to the chemistry section. Recall that many other sciences require mathematical calculations. The problem will belong to Mathematics only if no knowledge of other sciences are required to solve the problem.

Solubility for the given substances is measured in grams per 100 g of water at a particular temperature (20 deg.C).
This means that the mass (assumed to be the solute) will not change the solubility, just the minimum quantity of solvent (water) will.
Thus the solubility of sodium chloride will remain L=36 g/100g H2O for any quantity of solute. Similarly, the solubility of lead nitrate will remain as K=54 g/100 g H2O.

The reason that they remain constant is because the quantity of solvent (water) is fixed at 100 g. Varying amount of solute will affect the quantity of solvent required, but not the solubility.
I'll leave it to you to calculate the difference between K & L.

8 0

3 years ago

6x - 2y = 26<br><br> 2x + 3y = 5

labwork [276]

Answer:

x = 4, y=-1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A. 48 square centimeters

NARA [144]

Answer:48

Step-by-step explanation:

8 0

2 years ago