You are cutting wood into equally sized pieces so if you know the length of the wood and the size of the cuts...
That would be...
2/3 ÷ 2/15 = 2/3 x 15/2 = 5 pieces
Answer/Step-by-step explanation:
Given:
m<A = 115,
m<B = 78,
m<C = 35,
✔️m<1 = 180 - m<A (angles on a straight line/supplementary angles)
m<1 = 180 - 115 (substitution)
m<1 = 65°
✔️m<2 + m<1 + m<B = 180° (sum of interior angles of a triangle)
m<2 + 65 + 78 = 180
m<2 + 143 = 180
m<2 = 180 - 143 (substitution property of equality)
m<2 = 37°
✔️m<3 = 180° - m<B (supplementary angles)
m<3 = 180 - 78
m<3 = 102°
Hello!
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
I've been waiting for someone to ask this question. It's one of my favorite questions to answer.
percent means out of 100 so 1% = 1/100 and 40%=40/100 or 1/25
so for percent of a number, 'of' means multiply so 40% of 500= 40/100 times 500 or 20000/100 or 200
if you multiply a fraction by its recipricol (the number fliped upside down) the you will get 1 so if you multiply 1/2 by 2/1 then you will get 1
thus
percent is out of 100 so 1%=1/100 25%=25/100
if you represent 45 out of something as 45/x then you multiply it by the reciprocal of the fraction that is supposed to be equal (1/2 =2/4) then you will get 1
so 45/x times reciprocal of 100/25 then you will get 1/1 or 4500/25x
so you divide to find x and get 180
so 45 is 25% of 180
The following is extra
as stated above 'of' can be taken as multiply so
45 is 25% of 180 can be rewriten as
45=25/100 times 180
but we don't know that 180 is the answer so we replace it with x then solve for x
