Answer:
Length = 27 metres
Width = 9 metres
Step-by-step explanation:
Consider the width to be x.
Then the length will be 3x.
The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.
So the dimensions will become:
Length=3x-4
Width=x+1
Now solve for the variable x using the formula for perimeter of a rectangle:
P = 2(l+b)
66 = 2(3x-4+x+1) (Divide both sides by 2 and simplify the parentheses)
33 = 4x-3 (Add 3 to both sides)
36 = 4x (Divide both sides by 4)
x = 9
Now plug-in the value of x into the original dimensions which were:
Length=3x
Width=x
So the dimensions are:
Length = 27 metres
Width = 9 metres
Answer:-2/3 gallon per minute
-2/3 gallon per minute
Step-by-step explanation:
(F)=6+3F
We move all terms to the left:
(F)-(6+3F)=0
We add all the numbers together, and all the variables
F-(3F+6)=0
We get rid of parentheses
F-3F-6=0
We add all the numbers together, and all the variables
-2F-6=0
We move all terms containing F to the left, all other terms to the right
-2F=6
F=6/-2
F=-3
I don’t know if it is right but I hope this helps :)
Answer:
$80
Step-by-step explanation:
It's khan so you don't need the explanation but for those interested then here:
K=30x+20 - Kayla
S=35x+10 - Sara
60+20=80
70+10=80
So they match up at $80
Answer:
He needs to complete a distance of 4,030 yards around the rink to make a total skating distance of 3 miles
Step-by-step explanation:
In this question, we are asked to calculate the number of yards needed to complete 3 miles skating around a rink.
We proceed as follows;
First, we can see he has skated 5 times around a rink that has a distance of 250 yards. His total distance covered would be 250 * 5 = 1250 yards
Now he is looking at completing 3 miles, we need to know the number of yards in 3 miles.
Mathematically, 1 mile = 1760 yards
3 miles = 3 * 1760 = 5,280 yards
To know the number of yards he need to skate more, we simply carry out a subtraction;
5,280 yards - 1250 yards = 4,030 yards
