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Romashka [77]
2 years ago
10

Nina can ride her bike 63,360 feet in 3,400 seconds, and Sophia can ride her bike 10 miles in 1 hour . What is Nina’s rate miles

per hour if there are 5,280 feet in a mile?
Which girl bikes faster?
Mathematics
1 answer:
faltersainse [42]2 years ago
8 0

Answer:

Nina's rate in miles per hour is 2.7 miles/hour

Nina bikes faster

Step-by-step explanation:

we know that

1 hour=3,600 seconds

1 mile=5,280 feet

<em>Convert feet to miles</em>

63,360 feet=63,360/5,280=12 miles

Convert seconds to hours

3,400 sec=3,400/3,600=0.94 hours

Find Nina's rate in miles per hour

12/0.94=12.7 miles/hour

Sophia's rate in miles per hour is 10 miles/hour

Compare the rates

12.7 miles/hour > 10 miles/hour

therefore

Nina bikes faster

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kherson [118]

Answer:

4x\sqrt{26}.

Step-by-step explanation:

Given information:

Leg_1=4x

Leg_2=20x

According to the Pythagoras theorem,

(hypotenuse)^2=(Leg_1)^2+(leg_2)^2

Using Pythagoras theorem, we get

(hypotenuse)^2=(4x)^2+(20x)^2

(hypotenuse)^2=16x^2+400x^2

(hypotenuse)^2=416x^2

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hypotenuse=\sqrt{416x^2}

hypotenuse=4x\sqrt{26}

Hence, the expression of the hypotenuse is 4x\sqrt{26}.

5 0
2 years ago
1, 32, 243, 1,024, 3,125____ what is the next number in the pattern
rosijanka [135]
Heyya

I think the pattern is (n+1)^5

1=1^5
32 = 2^5
243 = 3^5
1024 = 4^5
3125 =5^5

Then the next number should be 6^5 = 7776
Hope you get it
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2 years ago
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If f(t)= 3t^2-2, find f(k-2)
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By plugging (k-2) in t, we can write that
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7 0
2 years ago
The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
bogdanovich [222]

Answer:

Option A 50-page photo album holds 400 photographs.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

step 1

<em>Find the value of k</em>

For the point (3,24)

x=3,y=24

k=y/x

k=24/3=8

The equation is equal to

y=8x

step 2

<em>Verify each statement</em>

case A) 50-page photo album holds 400 photographs.

For x=50

substitute in the equation

y=8(50)=400 -----> is correct

case B) 80-page photo album holds 560 photographs.

For x=80

substitute in the equation

y=8(80)=640 -----> is not correct

case C) 100-page photo album holds 8,000 photographs.

For x=100

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y=8(100)=800 -----> is not correct

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For x=900

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2 years ago
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