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3 years ago

The area of a rectangle is

1 answer:

8 0

Area = length x width
length = 3 x width - 5

i.e. 50 = w(3w - 5)
3w^2 - 5w - 50 = 0
(3w + 10)(w - 5) = 0
w = -10/3 or w = 5
but width cannot be negative, hence
width = 5 yd
Length = 3 x 5 - 5 = 15 - 5 = 10 yd

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A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and

Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0

3 years ago

You will need 120 feet of fencing to put all the way around a rectangular garden. The length of the garden is 40 feet. What is t

GREYUIT [131]

Answer:

A. 20 ft

Step-by-step explanation:

(120/2)-40=20

3 0

3 years ago

Read 2 more answers

A group of students goes out to lunch. If two have burritos and five have tacos, the bill will be $19.50. If five students have

nikklg [1K]

Answer:

The price of the burrito is $3.5 and the price of the taco is $2.5.

Step-by-step explanation:

2x+5y=19.5

5x+2y=22.5

------------------

5(2x+5y)=5(19.5)

-2(5x+2y)=-2(22.5)

-----------------------------

10x+25y=97.5

-10x-4y=-45

-----------------------

21y=52.5

y=52.5/21=2.5

2x+5(2.5)=19.5

2x+12.5=19.5

2x=19.5-12.5

2x=7

x=7/2=3.5

x=3.5, y=2.5

The price of the burrito is $3.5 and the price of the taco is $2.5.

8 0

3 years ago

if PQ || RS and the slope of PQ= x-1/4 and the slope of RS is 3/8 then find the value of x justify algebraically and numerically

Artemon [7]

The value of x is 5/8.

<u>Step-by-step explanation</u>:

Given,

The lines PQ and RS are parallel to each other.
slope of PQ= x-1/4
slope of RS = 3/8

The slopes of parallel lines are equal.

slope of PQ = slope of RS

⇒ x-1/4 = 3/8

⇒ (4x-1)/4 = 3/8

⇒ 8(4x-1) = 4(3)

⇒ 32x-8 = 12

⇒ 32x = 20

x = 20/32

x = 5/8

5 0

3 years ago

Area is 96 length is 4x+8 width is x find x

dimulka [17.4K]

Answer

Step-by-step explanation:

The area would be length times width. x(4x+8) =96

4x^2+8x = 96

4x^2+8x-96=0. We need to factor.

It would be factored to (4x-16)(x+6) = 0

x would be -6 (x+6=0)

or x would be 4 (4x-16=0)

Why would the width be negative?!? So the answer is 4

4 0

2 years ago