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frez [133]
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 in mil

es per hour if there are 5,280 feet in a mile? Which girl bikes faster?
Mathematics
1 answer:
stira [4]2 years ago
4 0

Answer:

Nina's rate in MPH:  12.706 miles per hour

Nina is faster than Sophia.

Step-by-step explanation:

For this problem, we will convert feet per second into miles per hour, and then compare Nina's rate to Sophia's rate.

We are given Nina rides at 63360 feet in 3400 seconds.  To convert this to miles per hour, we need to know that there are 5280 feet in 1 mile, and 3600 seconds in 1 hour.  Now that we now these conversions, let's find the rate in miles per hour.

(63360 feet / 3400 seconds) * (1 mile / 5280 feet) * (3600 seconds / 1 hour) = 12.706 miles per hour.

So we know that Nina rides her bike at 12.706 miles per hour and are given that Sophia rides her bike in 10 miles in 1 hour.

With this, we can say Nina rides faster than Sophia by 2.706 miles per hour (12.706 - 10).

Cheers.

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Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10
Ulleksa [173]

Answer:

L(t) = 170 - 10t

Step-by-step explanation:

The amount that Alexa owes after t weeks is given by a linear equation in the following format:

L(t) = L(0) - bt

In which L(0) is the initial amount borrowed and b is how much is paid per week.

Alexa agreed to pay back her friend $10 per week and originally borrowed $170.

This means that, respectivelly, b = 10, L(0) = 170. So

L(t) = L(0) - bt

L(t) = 170 - 10t

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2 years ago
The figure shows rhombus ABCD. Which of the following conditions satisfies the criteria for rhombi?
Vitek1552 [10]

Answer:

BEC is 90 degrees

Step-by-step explanation:

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2 years ago
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Read the ruler in millimeters to the correct degree of precision (The ruler is in between the halfmark and the sixth mark on the
Vitek1552 [10]

Answer:

3 1/2

Step-by-step explanation:

6 0
2 years ago
On 1st September 2014 there were 5400 trees planted in a wood.
Aliun [14]

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

3 0
2 years ago
7) Let the random variable X represent the amount of money Dan makes doing lawn care in a randomly selected week in the summerAs
Sphinxa [80]

Answer:

Option A. 0.6 is the right answer.

Step-by-step explanation:

Given information is:

Mean = $240

SD = $60

The probability of Dan making less than $255 has to be found.

Let x = 255

First of all, we will find the z-score of the given value

z = \frac{x-mean}{SD}\\z = \frac{255-240}{60}\\z = \frac{15}{60}\\z = 0.25

Now the z-score table will be used to see the probability of less than 0.25

Using the z-score table, we get:

P(x<0.25) = 0.5987

As the answer choices are rounded off to one decimal place, we will round off our answer to one digit after the decimal point

0.5987 => 0.6

Hence,

Option A. 0.6 is the right answer.

6 0
1 year ago
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