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baherus [9]
3 years ago
11

A runner is running a 10 km race. It takes her 17.5 minutes to reach the 2.5 km mark. At that rate, how long will it take her to

run the whole race?
Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0

Answer:

time = 70 minutes

Step-by-step explanation:

According to the question the whole race is 10 kilometer. It takes her 17. 5 minutes to cover a distance of 2.5 km.

The rate the runner used to cover the distance of 2.5 km can be computed as follows:

rate = distance / time

distance = 2.5 km

time = 17.5 minutes

rate = 2.5/17.5

rate = 0.14285714285  kilometer/minutes

rate = 0.14285714285 km/min

Use the rate to calculate for the time the runner used for the whole distance of 10 km

rate = distance/time

rate = 0.14285714285 km/min

distance = 10 km

rate = distance/time

cross multiply

time = distance/rate

time = 10/0.14285714285

time = 70 minutes

time = 70 minutes

Alinara [238K]3 years ago
3 0

Answer:

At her current rate it will take here 70 minutes to finish the race


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A bank manager wants to encourage new customers to open accounts with principals of at least ​$2 comma 500. He decides to make a
prisoha [69]

Answer:

To earn $10 in 1st month, the principal must be $4,000.

No, the poster cannot claim that "Open an account of ​$2 comma 500 and earn at least ​$10 interest in 1​ month!".

Step-by-step explanation:

We have been given that a bank manager wants to encourage new customers to open accounts with principals of at least ​$2,500. He decides to make a poster advertising a simple interest rate of 3​%. We are asked to find the principal to advertise that one can earn ​$10 the first​ month.

We will use simple interest formula to solve our given problem.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

r=3\%=\frac{3}{100}=0.03

1 month will be equal to \frac{1}{12}.

\$10=P\cdot0.03\cdot \frac{1}{12}

\$10=0.0025P

\frac{\$10}{0.0025}=\frac{0.0025P}{0.0025}

P=\$4000

Therefore, to earn $10 in 1st month, the principal must be $4,000.

Now, we will check if an account of ​$2,500 can earn at least ​$10 interest in 1​ month.

I=\$2500\cdot 0.03\cdot \frac{1}{12}

I=\$6.25

Since the account earns an amount of $6.25 in one month, therefore, the poster is not true.

4 0
3 years ago
The expression below has _____ terms 4x - 8 + 2y - w
Aloiza [94]

Answer:

4

Step-by-step explanation:

4x - 8 + 2y - w

None of the terms can be combined, so there are 4 terms

4x, -8, 2y, and -w

4 0
3 years ago
If f(x)=x²-6 x+2 and g(x)=-2x, find the following composition. (g ° f)(5)<br> (g ° f)(5)=
Elan Coil [88]

What the composite function in the question is actually trying to explain is;

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First of all, in the function F(x), we will find a result by writing 5 where we see the letter x.

  • F(5)=5^2-6(5)+2=-3

We will write this result in the G(x) function where we see the letter x and we will get the result.

  • G(-3)=-2(-3)=6

5 0
1 year ago
PLEASE HELP! THANK YOUUUUU!
USPshnik [31]

I think its D)

Because when you look at the x-axis 3 and go up to the y-axis its 4

4 0
3 years ago
Read 2 more answers
The question is below, plz answer, will give brainliest
Elina [12.6K]

By comparing the right triangle ABC with the triangle XYZ, we will see that:

  • AC = 5
  • BC = 10.

<h3>How to find the given segments?</h3>

So we know that the largest triangle is a dilation of scale factor 2 of the smaller one.

Also, remember that for right triangle we have the relation:

Tan(θ) = (opposite cathetus)/(adjacent cathetus).

Now, the problem tells us that:

tan(x) = 5/2.5

For the angle x, the adjacent cathetus is XY, and the opposite cathetus is YZ.

Then we have:

YZ  = 5

XY = 2.5

Knowing that the correspondent sides in the larger triangle will be 2 times the above ones, we can see that:

AC = 2*XY = 2*2.5 = 5

CB = 2*YZ = 2*5 = 10

If you want to learn more about right triangles, you can read:

brainly.com/question/2217700

5 0
2 years ago
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