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BigorU [14]
3 years ago
6

Rewrite each algebraic expression with as few terms as possible using the Commutative and Associative Properties.

Mathematics
1 answer:
Norma-Jean [14]3 years ago
5 0

Answer:

11x + 3y

Step-by-step explanation:

7x + 2y + 4x + y

Combine like terms:

7x + 4x 2y + y

11x + 3y

Hope this helps!

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If the center thickness of a lens variés more than 0.150 millimeter from the target thickness of 5.000 millimeters, the lens can
Mice21 [21]

Answer:

All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters

Step-by-step explanation:

Let

x -----> values for the center thickness of the lens

we know that

The absolute value that represent this problem is

\left|x-5,000\right|\le 0.150

Solve the absolute value

First case (positive)

+(x-5,000)\le 0.150

Adds 5,000 both sides

x\le 0.150+5,000

x\le 5,000.15\ mm

Second case (negative)

-(x-5,000)\le 0.150

Multiply by -1 both sides

(x-5,000)\ge -0.150

Adds 5,000 both sides

x\ge -0.150+5,000

x\ge 4,999.85\ mm

therefore

The extreme acceptable values for the center thickness of the lens is the interval [4,999.85,5,000.15]

All real numbers greater than or equal to 4,999.85 millimeters and less than or equal to 5,000.15 millimeters

8 0
3 years ago
Walmart sells to sizes of milk. One contains a half gallon of milk and costs $1.82.
aivan3 [116]

Answer:

Difference = $0.01

Step-by-step explanation:

Given that:

Cost of half gallon = $1.82

Cost of one gallon = $3.68

First we will convert gallons to ounces.

1 gallon = 128 ounces

half gallon = 64 ounces

Now,

we will find unit rate of both.

Unit rate of half gallon = \frac{1.28}{64} = \$0.02

Unit rate of one gallon = \frac{3.68}{128} = \$0.03

Difference= 0.03 - 0.02 = $0.01

Hence,

Difference = $0.01

5 0
3 years ago
Randolph is creating parallelogram WXYZ so that XY has an equation of y = 2 over 3x −5. Segment WZ must pass through the point (
GalinKa [24]

Step-by-step explanation:

its y-(-6)= 3 over 2(x-(-1))

7 0
3 years ago
Apply the distributive property to create an equivalent expression −9⋅(5j+k)=
Dvinal [7]

Answer:

-45j - 9k

Step-by-step explanation:

Multiply -9 and 5j first to get -45j

Multiply -9 and k to get -9k

4 0
3 years ago
Charnise uses 3 gal. red paint to 5 gal. white paint to make pink paint. She
professor190 [17]

The method into creating pink paint is mixing 3 gallons of red paint and 5 gallons of white paint together. This mixture only creates 8 gallons of paint and she needs 16 more. List the factors of 16:

1, 2, 4, 8, and 16

We notice that 8 can be factored out of 16 and becomes:

16 / 8 = 2

If we multiply the sample by 3 (the one already counted plus the two extra), we can discover how much paint is needed. Multiply everything by 3:

3 x 3 = 9

5 x 3 = 15

So in this case, 15 gallons of white paint and 9 gallons of red paint are need and combine for 24 gallons in total.

4 0
3 years ago
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