Answer:
Step-by-step explanation:
We are given the following in the question:
Volume of cake = 351 cubic inches
Let x inches be the width of cake.
Width of cake, w =
Then, length of cake,l =
Height of cake,h =
Volume of cake = Volume of cuboid
Putting values, we get:
Thus, dimensions of cake are:
Answer:
(x, y) = (4, 9)
Step-by-step explanation:
You can use the second equation to write an expression for y.
y = 10 - 1/4x . . . . subtract 1/4x from the given 2nd equation
Now, substitute that for y in the first equation:
1/2x + 1/3(10 -1/4x) = 5
1/2x + 10/3 -1/12x = 5 . . . . eliminate parentheses
You can work this a couple of ways from here. One is to multiply by 12 to eliminate fractions. Another is to work with the numbers as they are. We'll do that, because we don't get enough practice doing arithmetic with fractions.
5/12x = 5/3 . . . . . subtract 10/3
x = (5/3)/(5/12) = 12/3 = 4
From above, we can use our expression for y:
y = 10 - 1/4·4 = 9
The solution is (x, y) = (4, 9).
Answer:
5 laps
Step-by-step explanation:
We can use ratios to solve
3 minutes 15 minutes
----------------- = ------------------------
1 lap x laps
Using cross products
3x = 15
Divide each side by 3
3x/3 = 15/3
x = 5
He can do 5 laps