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Rudiy27
2 years ago
8

The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft dee

p,
what is the length of the pool
Mathematics
1 answer:
xeze [42]2 years ago
4 0

9514 1404 393

Answer:

  25 ft

Step-by-step explanation:

The volume is given by the formula ...

  V = LWD . . . . . the product of length, width, depth

Solving for L, we have ...

  L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft

The length of the pool is 25 ft.

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An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.
Lina20 [59]

Answer:

x^3+x^2-2x\leq140

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth=  (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

2x*(x -1) * (x + 2) \leq 280\\\\

open the brackets

2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280

divide through by 2 we have

x^3+x^2-2x\leq140

5 0
3 years ago
Read 2 more answers
What is t in the equation 6t+31=41
german

Answer:

6t=41-31

6t=10

t=10/6

t=5/3

3 0
2 years ago
Read 2 more answers
PLEASE SOLVE THIS :(<br>​
Lesechka [4]

Answer:

10.5 %

<u>Skills needed: Financial Math Essentials</u>

Step-by-step explanation:

1) First, before getting started, let's assume the price of the product is x. This variable will be used a lot throughout the problem (x).

2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by y percent, the new price would be x + \frac{y}{100}*x.

---> In this case, the price increased by \textbf{30} percent.

This means that it would be: x+\frac{30}{100}x = x+0.3x=1.3x

New price is: 1.3x

3) The shopkeeper is then offering a \textbf{15} percent discount off of this marked price. When offering a b percent discount price, the new price (with discount), expressed algebraically is: a-\frac{b}{100}a

---> the expression above simplifies to (1-\frac{b}{100})a

In this case, a=1.3x, b=15

---> (1-\frac{15}{100})*1.3x = (1-0.15)*1.3x=0.85*1.3x=1.105x

This means that x, with discount, has been raised \textbf{10.5 percent}.

10.5 % is the profit percent

(The profit percent being the final marked up price - purchased price)

5 0
2 years ago
Rate and Ratio Sipho paid 605,50 for 70litres of petrol.What did the petrol cost per litre.​
amid [387]
605,50/70= 929 per liter or 9.29 if it was suppose to be 605.50 price.
6 0
2 years ago
Which expression has the same value as 4x – 3y?
coldgirl [10]

Answer:

4x+(-3y)

Step-by-step explanation:

\\ \rm\longmapsto 4x+(-3y)

  • (-)(-)=(+)
  • (+)(-)=(-)
  • (-)(+)=(-)
  • (+)(+)=(+)

\\ \rm\longmapsto 4x-3y

5 0
2 years ago
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