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Yuri [45]
2 years ago
15

"Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill. Determine the average distance covered in one minute

". Please help me answer this
Mathematics
2 answers:
Viefleur [7K]2 years ago
5 0

Solution:

we are given that

Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill.

we have been asked to find the average distance covered in one minute.

Using the  concept of unity we can write

Since Nathan takes 42 minutes to cover a distance of 4.5 miles.

So in 1 minute Nathan will cover a distance of =\frac{4.5}{42} =1.07142miles

Hence avearge distance covered in one minute is 1.1 miles.

Svet_ta [14]2 years ago
3 0

Answer:

0.107

Step-by-step explanation:

If nathan takes 42 mintues to thread a distance of 4.5 miles we must determine the spead that Nathan travels:

Speed is defined as the distance per time. Let v equal the average distance per minute, d is distance and t is time:

v=d/t

Therefore the average distance cover per one minute is:

v=4.5/42=0.107

Nathan covers 0.107 miles per one minute.

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Lian invested an amount of money at an interest rate of 5.2% per year.
Zigmanuir [339]

Answer:

$6500

Step-by-step explanation:

Let the amount of money invested by Lian be $x

Interest rate = 5.2% per year

interest earned in first year will be  5.2% of  amount of money invested by Lian .

(note: since in first year there will be no interest accrued on interest so interest for first year is simple interest )

interest earned in one year if money invested by Lian is $x

= 5.2% of $x  (1)

But , it is given in one year  she received interest of 338 dollars

so, 338 dollars must be equal to 5.2% of $x

equating $338 with  5.2% of $x  , we have

5.2% of x  = 338

=> (5.2/100) * x = 338

=>5.2 x = 338*100

=> x = 33800/5.2 = 6500.

Thus,  amount of money Lian invested is $6500.

7 0
2 years ago
In a certain classroom ,12.5% of the students own at least one pet. If there are 32 students in the classroom,how many students
Y_Kistochka [10]

Answer:

28

Step-by-step explanation:

Given that 12.5% of students own at least 1 pet, then the percentage of students who do not own a pet is

100% - 12.5% = 87.5%

Calculate 87.5% of 32, that is

\frac{87.5}{100} × 32

= 0.875 × 32 = 28 ← number of students who do not own a pet

8 0
2 years ago
Read 2 more answers
Find the magnitude of wx for w(-3 5 4) and x(9 5 3)
Hatshy [7]

Answer:  Magnitude of wx is \sqrt{145}

Step-by-step explanation:

Since we have given that

w(-3,5,4)=-3\hat{i}+5\hat{j}+4\hat{k}\\\\x(9,5,3)=9\hat{i}+5\hat{j}+3\hat{k}

Now, first we will find 'wx':

wx=Initial-Final\\\\wx=(9+3)\hat{i}+(5-5)\hat{j}+(3-4)\hat{k}\\\\wx=12\hat{i}-1\hat{k}

We need to find the "magnitude":

\mid wx\mid=\sqrt{12^2+1^2}=\sqrt{144+1}=\sqrt{145}

Hence, Magnitude of wx is \sqrt{145}

3 0
2 years ago
Read 2 more answers
Simplify 14.2 + 6.5(p + 3q) – 4.05q
anzhelika [568]
Answer is C
14.2+6.5(p+3q)-4.05q
14.2+6.5p+19.5q-4.05q
14.2+6.5p+15.45q→6.5p+15.45q+14.2
so the answer is C
7 0
2 years ago
Which value of x would make Triangle S U V Is-congruent-to Triangle T U M by HL?
Katarina [22]

Answer:

x=5

Step-by-step explanation:

Actually, the complete question includes the expression of each hypothenuse, because the problem is about congruence between right triangle.

So, the hypothenuse for \triangle SUV is: 2x+9.

The hypothenuse for \triangle TUW is:   4x-1.

So, the postulate HL (Hypothenuse-Leg) states that both right triangles are equal if their hypothenuses and legs are equal. So, we have to make equal both hypothenuse expression and solve for x:

2x+9=4x-1\\9+1=4x-2x\\10=2x\\x=\frac{10}{2}=5

Therefore, when x=5 these triangles are congruent.

6 0
2 years ago
Read 2 more answers
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