Step-by-step explanation:
If x is the volume of the first tank, and y is the volume of the second tank, then:
x + y = 55
x = 2y + 4
Solve the system of equations using either substitution or elimination. Using substitution:
2y + 4 + y = 55
3y + 4 = 55
3y = 51
y = 17
Solve for x using either equation.
x + 17 = 55
x = 38
The first tank holds 38 gallons, and the second tank holds 17 gallons.
This problem, as written, requires a bit of guessing regarding your intentions. My interpretation is that you want to do this division:
2
----------
1 6/7
If that's correct, here's what to do: rewrite 1 6/7 as 13/7 (an improper fraction).
Then divide:
2
-------- This is equivalent to the multiplication (2/1)(7/13) = 14/13 (answer)
13/7
Answer:
Right angle triangle goes to 15m, 8m, 17m
Step-by-step explanation:
Square root of 15^2 + 8^2 is 17
(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)
So, 10m ,11m ,15m isn't a right angle triangle
Hope this helps!
Answer:
The dimensions of the rectangle = 60ft by 107ft
Where 60 ft = Width of the playing field
107ft = Length of the playing field
Step-by-step explanation:
A playing field is Rectangular is shape, hence,
The formula for Perimeter of a rectangle = 2(L + W)
P = 334 ft
L = 47 + W
W = W
Hence we input these values in the formula and we have:
334 = 2(47 + W + W)
334 = 2(47 + 2W)
334 = 94 + 4W
334 - 94 = 4W
240 = 4W
W = 240/4
W = 60
There fore, the width of this playing field = 60 ft
The length of this rectangle is calculated as:
47 + W
47 + 60
= 107 ft
The length of this playing field = 107ft
Therefore the dimensions of the rectangle = 60ft by 107ft
