Amy: x skirts
Betty: 2x skirts
Carol: (2x) + 7 skirts
If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation:
[(2x) + 7] - 18 = x
+18 +18
(2x) + 7 = x + 18
- 7 -7
2x = x + 11
-x -x
x = 11
Input the solution for x into the girls equation to double check.
Amy: 11
Betty: 2(x)
2(11)
=22
Carol: (2x) + 7
22 + 7
=29
Does Amy have 18 less than Carol?
Carol - Amy = 18
29 - 11 = 18
18 = 18
the problem is solved
Given width is 24 less than length.
W=L-24
Perimeter = 2(W+L)=2(L-24+L)=4L-48
But we're also given perimeter = 172'
Therefore 4L-48=172
solve for L
4L=172+48=220
L=55'
W=55-24 = 31'
Check: Perimeter = 2(W+L)=2(31+55)=2*86=172' good!
Answer: The dimensions of the garden are 31' * 55'
Answer:
<u>30 people </u>
Step-by-step explanation:
The question is as following:
Here are the ingredients for pineapple sherbet for 6 people
800g pineapple 4 egg whites 1/2 lemon 100g caster sugar
Dan makes pineapple sherbet he uses 2 1/2 lemons
work out how many people he makes pineapple sherbet for?
=======================================================
1/2 lemon needed for pineapple sherbet for 6 people
2 1/2 lemons needed for pineapple sherbet for <u>x</u> people
1/2 : 6 = 2 1/2 : x
∴ x = ( 6 * 2 1/2 ) ÷ (1/2)
x = 6 * 5/2 * 2 = 30 people
<u>So, he make the pineapple sherbet for 30 people </u>
Answer: 64% of the variability in weight can be explained by the relationship with height.
Step-by-step explanation:
- In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
- Coefficient of determination,
, is a measure of variability in one variable can be explained variation in the other.
Here, r= 0.80
That means 64% of the variability in weight can be explained by the relationship with height.
