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marysya [2.9K]
3 years ago
9

Name the property illustrated by 5 (x + y) = 5 (y + x) . a. Distributive Property b. Commutative Property of Addition c. Associa

tive Property of Addition d. Commutative Property of Multiplication
Mathematics
1 answer:
Gnom [1K]3 years ago
7 0

Given:

5 (x + y) = 5 (y + x)

Solution:

Here, we need to find the property illustrated by this equation.

It the given equation, we write (x+y) as (y+x).

According to the Commutative Property of Addition, if a and b are two real numbers, then

a+b=b+a

It means, Commutative Property of Addition is illustrated by the given equation.

Therefore, the correct option is b, i.e., Commutative Property of Addition.

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exis [7]
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.

p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)

I hope this helps!

3 0
3 years ago
HELP MATH ._. rbiufb3fuib3fu4
Genrish500 [490]

Answer:

Step-by-step explanation:

9/2 is the slope. Slope defines how steep is the straight line.

Slope =  change in y ÷ change in x

In this model, 9 refers to the vertical distance between two points

and 2 refers to  the horizontal distance between two points.

9/2 is a positive slope. It indicates that if 'x' increases, y also increase.

4 0
2 years ago
On average, water flows over a particular water fall at a rate of 2.08 x 105 cubic feet per second. One cubic foot of water weig
34kurt

Answer:

  5.61×10^8 ton/day

Step-by-step explanation:

  (2.08×10^5 ft³/s)·(8.64×10^4 s/day)·(6.24×10^1 lb/ft³)/(2×10^3 lb/ton)

  = (2.08·8.64·6.24/2)×10^(5+4+1-3) ton/day

  ≈ 56.07×10^7 ton/day

  ≈ 5.61×10^8 ton/day

_____

We have expressed the answer using 3 significant digits, to match the precision of the rate and weight.

4 0
3 years ago
Solve the following <br> 19.2<br> x 1.5
k0ka [10]

Answer:

no value of X so no answer

Step-by-step explanation:

6 0
3 years ago
Marla filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of ga
romanna [79]

Answer:

23 1/2 miles per gallon

Step-by-step explanation:

We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -

          Miles

-----------------------------     =

Each gallon of gas

329 ÷ 14 = 23 1/2 miles per gallon

6 0
2 years ago
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