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Katen [24]
3 years ago
11

Monica can walk 3.8 kilometers in 40 minutes, and she can jog twice that distance in the same amount of time. How far could Moni

ca jog in 1 hour at this rate?
Mathematics
1 answer:
Elanso [62]3 years ago
5 0
We know that
<span>Monica can walk 3.8 kilometers in 40 minutes
and
</span><span>she can jog twice that distance in the same amount of time
that means
in 40 minutes Monica can jog (3.8 km*2)-----> 7.6 km

1 hour=60 minutes
</span>by proportion<span>
7.6 km/40 minutes=x km/60 minutes
x=7.6*60/40----> x=11.4 km

the answer is
11.4 km</span>
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Please help me figure out this problem
tiny-mole [99]

Answer:

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=x\\\\g(f(x))=g\left(-\dfrac{5}{3}x-7\right)=x

Step-by-step explanation:

Fill in the given expressions and simplify.

f(g(x))=f\left(-\dfrac{3x+21}{5}\right)=-\dfrac{5}{3}\left(-\dfrac{3x+21}{5}\right)-7\\\\=\left(-\dfrac{5}{3}\right)\left(-\dfrac{3x}{5}\right)-\left(\dfrac{5}{3}\right)\left(-\dfrac{21}{5}\right)-7\\\\=\dfrac{15x}{15}+\dfrac{5\cdot 21}{3\cdot 5}-7=x+7-7=x

Going the other way, we have ...

g(f(x))=\displaystyle -\frac{3\left(-\frac{5}{3}x-7\right)+21}{5}=-\frac{-5x-21+21}{5}=x

5 0
3 years ago
The height of a toy rocket that is shot in the air with an upward velocity of 48 feet per second can be modeled by the function
777dan777 [17]

The maximum height of an object is the greatest height the object can reach. The maximum height the rocket reaches is 40.2 feet

<h3>Vertex form of an equation</h3>

The maximum height of an object is the greatest height the object can reach. Given the equation that represent the height of the rocket.

f(t) = -15t² + 48t

The maximum height of the rocket occur at the point where:

t = -b/2a
t = -48/2(-15)
t =48/30
t = 1.6secs

Substitute t = 1.6 into the function as shown:

f(1.6) = -15(1.6)² + 48(1.6)

f(1.6) = -38.4 + 76.8

f(1.6) = 40.2

Hence the maximum height the rocket reaches is 40.2 feet

Learn more on maximum height here: brainly.com/question/12446886

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2 years ago
Green Fencing Company will install the fence
LUCKY_DIMON [66]

The company would charge $837.50 to build the fence.

Installing a fence would cost $62.50 per hour.

It will take 13²/₅ hours to install this fence.

The cost would be:

<em>= Cost per hour x Number of hours taken </em>

Number of hours it would take should be converted to improper fraction to be multiplied:

13²/₅ = 67/5 hours

Cost is:

= 62.50 x 67/5

= $837.50

In conclusion, it would cost $837.50 to build the fence.

<em>Find out more at brainly.com/question/14652608. </em>

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3 years ago
What is the measurement of FKH?
stepan [7]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

How to calculate is 600/5

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3 years ago
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