(a)
<u>Given:</u>
72 to be split into 1:3:5
<u>Solution:</u>
First divide the amount with the sum of the ratio given
72 / 1 + 3 + 5 = 72 / 9 = 8
Now multiply the answer with each value:-
8 × 1 = 8
8 × 3 = 24
8 × 5 = 40
∴ The ratio will be 8:24:40
{To check your answer add to get the exact value: 8 + 24 + 40 = 72}
(b)
<u>Given:</u>
150 to be split into 2:3
<u>Solution:</u>
First divide the amount with the sum of the ratio given
150 / 2 + 3 = 150 / 5 = 30
Now multiply the answer with each value:-
30 × 2 = 60
30 × 3 = 90
∴ The ratio will be 60:90
{Now check your answer in the same way above: 60 + 90 = 150}
Transitive , you just switch it?
Answer:
therefore the value of x = 3 and y = -2
Step-by-step explanation:
using substitution method in solving the following equation
let
y = -x + 1 ........................ equation 1
y= 2x– 8........................... equation 2
substitute for 1 in equation 2 i.e put the value of y in equation 1 to value of y in equation 2
y= 2x– 8........................... equation 2
-x + 1 = 2x - 8
by collecting the like terms
1 + 8 =2x + x
9 = 3x
divide both sides by 3
we have
9/3 = 3x/3
3 = x
therefore x = 3
put x = 3 in equation 1
y = -x + 1 ........................ equation 1
y = -(3) + 1
y = -2
therefore the value of x = 3 and y = -2
to check if your answer is correct
put the value of x and y in either equation one or 2
y= 2x– 8........................... equation 2
-2 = 2(3) - 8
-2 = 6 - 8
-2 = -2 ......................... proved
If im reading this question correctly, each piece of rope gets cut into 13 lengths.
So 8 X 13 = 104