Easy peasy
the fastest way is to pretend we have 1 big rectangle with 2 smaller rectangles cut out
see attachment
the big one is 12 by 7
the smaller ones are 5 by6 and 5 by 6
big-smaller=area
big=12*7=84
smaller=5*6+5*6=30+30=60
big-smaller=84-60=24
answer is 24 in²
first choice
Answer: 524
Step-by-step explanation: The opposite number is the negative or positive number of the number given.
Answer:
45° and 135°
Step-by-step explanation:
let one angle be "x" and the other be "y"
Angles which are supplementary total to 180°. This can be represented with the equation:
x + y = 180
If angle "x" is a third of angle "y", the situation is represented with this equation:
(1/3)x = y
Since fractions are difficult to work with, multiply the whole equation by 3.
(1/3)x = y <= X 3
x = 3y
Use the equations x+y=180 and x=3y.
You can substitute x=3y into x+y=180.
x + y = 180
(3y) + y = 180 <=combine like terms
4y = 180 <=isolate y by dividing both sides by 4
y = 45
Substitute y=45 itno the equation x+y=180 to find x.
x + y = 180
x + 45 = 180 <=isolate x by subtracting 45 from both sides
x = 135
Therefore the angles are 45° and 135°.
Answer:
Step-by-step explanation:
Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars
To find unit rate
Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars
I part:
5 apples = 13.95 dollars
1 apple = 13.95/5 (since direct variation)
Unit rate for one apple= 2.79 dollars
Part II:
13.95 dollars = 1 apple
1 dollar = 1/13.95 = 0.071
=0.07
But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple
