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3 years ago

9

The janitor at a school discovered a leak in a pipe. It was leaking at a rate of 15 do oz per hour. How fast was the pipe leakin

g in gallons per day?

1 answer:

Alex787 [66]3 years ago

7 0

Answer:

22.5 gallons per day

Step-by-step explanation:

First, find how many oz the pipe leaked in a day.

15*24=360.

Then divide by 16 to find how many gallons leaked per day.

360/16=22.5

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A company manufactures 295 toy car each day. How many toy cars dose the company manufacture in 34 days?

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295 X 34 = 10030 <== Cars in 34 days

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3 years ago

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F(x)=x^2+10x-12

weqwewe [10]

Answer:

Therefore the two values required are 2.08 and -11.08.

Step-by-step explanation:

i) f(x) = $x^{2}$ + 10x - 12 is a quadratic equation and a quadratic equation will have two roots whose values when substituted in to the given quadratic equation will give the value.

ii) The question is therefore essentially asking us to find the roots of the given quadratic equation.

This can be done by equating the given quadratic equation to zero and then solving the equation for its roots.

∴ $x^{2}$ + 10x -12 = 0 ⇒ x = (-10 ± $\sqrt{10^{2} +(48)}$ ) ÷ 2

= (-10 ± 12.166)÷2 = 2.08, -11.08

Therefore the two values required are 2.08 and -11.08

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4 years ago

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Step-by-step explanation:

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3 years ago

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Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds

Ostrovityanka [42]

Answer:

4.5 miles per hour is her rate in miles per hour

Step-by-step explanation:

We want to convert 20 ft per second to miles per hour

If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft

So convert 20/3 ft/second to miles per hour

Mathematically;

1 mile = 5280 feet

So one feet = 1/5280 mile

1 hour = 3600 seconds

1 second = 1/3600 hour

So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600

Hence; we have;

(20/3 * 1/5280)/1/3600

= 20/3 * 1/5280 * 3600/1

= 4.4545 which is 4.5 miles per hour

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3 years ago

Before going to school, Eudora ran from her home to a secret laboratory at an average speed of 12 km. Since she was running late

Brrunno [24]

Answer:

Eudora spent 0.5 hours in running and 1.5 hours flying using her jet-pack.

Step-by-step explanation:

Let x represent time spent in running.

We have been given that the entire trip took 2 hours, so time spent in flying the jet-packs would be $2-x$ .

We know that distance is equal to speed times time.

$\text{Distance}=\text{Speed}\times\text{Time}$

Eudora ran from her home to a secret laboratory at an average speed of 12 km, so distance traveled by running would be $12x$ .

Eudora took one of her jet-packs and flew to her school at an average speed of 76 km, so distance covered by jet-packs would be $76(2-x)$ .

We are told that Eudora traveled a total distance of 120 km. We can represent this information in an equation as:

$12x+76(2-x)=120$

$12x+152-76x=120$

Combine like terms:

$-64x+152=120$

$-64x+152-152=120-152$

$-64x=-32$

Divide both sides by $-64$ :

$\frac{-64x}{-64}=\frac{-32}{-64}$

$x=0.5$

Therefore, Eudora spent 0.5 hours in running.

Upon substituting $x=0.5$ in expression for time spent in flying jet-packs, we will get:

$2-x\Rightarrow 2-0.5=1.5$

Therefore, Eudora spent 1.5 hours flying using her jet-pack.

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3 years ago