Answer:
3.8333
Step-by-step explanation:
I hope this helps
Answer:
24 in
Step-by-step explanation:
From the question,
The formula for finding the volume of a rectangular prism is
V = l×w×h...................... Equation 1
Where l = length, w = width, h = height.
From the question, we were told that the length of the prism is three times the height.
i.e,
l = 3h....................... Equation 2
Substitute equation 2 into equation 1
V = 3h×w×h
V = 3h²w............... Equation 3
Given: V = 103680 in³, w = 60 in
Substitute these values into equation 3 and solve for h
103680 = 3(h²)(60)
103680 = 180h²
h² = 103680/180
h² = 576
h = 
h = 24 in.
Hence the height of the raised garden is 24 in
The best thing to do for this question is to find a common denominator, and the best way to do this is to list all of the multiples and find the smallest common one.
8- 8, 16, 24, 32, 40, 48
20- 20, 40, 60
In this, 40 is the lowest, so you have to multiply 5/8 by 5 at the top and bottom, and this gives you 25/40. You have to multiply the second fraction by 2, and this becomes 22/40.
Therefore, the larger fraction is 5/8.
The alternative method is to turn them into decimals and compare them this way. 5/8= 0.625 & 11/20= 0.55
Hope this helps
Answer: 96 Televisions, 68 DVD burners
<u>Step-by-step explanation:</u>
Let T represent the quantity of televisions
Let D represent the quantity of DVD burners
<u>Given:</u>
value of television (T) = 360
value of DVD burners (D) = 270
Total value = 52,920
<u>Equations:</u>
Value: 360T + 270D = 52,920
Quantity: T + D = 164
We can solve the system of equations using the Elimination Method:
-1(360T + 270D = 52,920) → -360T - 270D = -52,920
360(T + D = 164) → <u>360T + 360D</u> = <u>59,040 </u>
90D = 6,120
<u> ÷90 </u> <u> ÷90 </u>
D = 68
Input the value of D into one of the equations to solve for T
T + D = 164
T + 68 = 164
T = 96
