Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
<u>Step-by-step explanation:</u>
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
Answer:
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Step-by-step explanation:
Let the scale be 
and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (
), measured in inches per feet, is equivalent to the following rational number:
We can convert each length by dividing it by scale factor. That is:
Length
Width
The length and width of the rectangle are 20 feet and 31.25 feet, respectively.
Answer: 23
Step-by-step explanation: You can start by setting this up as an equation like so,
X + 3(X) =92 where x is Thomas’ age and the 3x indicates Hullans age being 3 times greater than Thomas.
Combine the x’s
4(x) = 92
Divide by 4 X = 92/4
92/4 = 23, x = 23
Answer:
<em>P</em> = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
Range definition:
The difference between the smallest term and the largest term in the data set is called the range.
Answer: Range
