The share of Natasha is £ 42
<em><u>Solution:</u></em>
£70 is divided between Natasha, Richard & Stephen
Total amount = 70
Let the share of natasha be "x"
Let the share of richard be "y"
Let the share of stephen be "z"
Natasha gets twice as much as Richard
x = 2y ------ eqn 1
Richard gets three times as much as Stephen
y = 3z
----- eqn 2
Total amount = 70
share of natasha + share of richard + share of stephen = 70
x + y + z = 70
Substitute eqn 1 and eqn 2
Substitute y = 21 in eqn 1
x = 2y = 2(21) = 42
x = 42
Thus natasha gets £ 42
Answer:
1/3 and -1/2
Step-by-step explanation:
You can use the factoring method to identify the solutions of x
6x^2+x-1
2 numbers have to multiply to 6 and subtract to 1 because x is the same as 1x
So, you get 3x and 2x
since you know that -1x1 is -1 you will get
(3x-1)(2x+1)=0
Now, since (3x-1) and (2x+1) multiply to get 0, if either (3x-1) or (2x+1) is 0 the statement will be valid
3(1/3)-1=0
2(-1/2)+1=0
So, your answers are 1/3 and -1/2
Answer: a unit rate is a rate with 1
Step-by-step explanation:
Answer: 376 cm^2
Step-by-step explanation:
First you would double all the dimensions:
l = 5 cm x 2 = 10 cm
w = 4 cm x 2 = 8 cm
h = 3 cm x 2 = 6 cm
The formula for finding the surface area of a rectangular prism is A=2(wl+hl+hw)
Substitute the values:
A=2(8*10+6*10+6*8)
Solve using PEMDAS:
A=2(80+60+48)
A=2(188)
A=376
Surface area is always in units^2:
376 cm^2
