MATHEMATICS MIDDLE SCHOOL

at a track meet,Jacob and daniel compete in 220 m hurdles. Daniels finishes in 3/4 of the a min.Jacob finishes with 5/12 of a min remaining.who ran the race in faster time?

Answers

Answer 1

Answer:

Answer:

Jacob finished the race faster than Daniel.

Step-by-step explanation:

We have that,

Daniel completed the hurdle in $(3)/(4)$ of a minute i.e. 75% of a minute.

Jacob completed the hurdle with $(5)/(12)$ remaining of a minute i.e. 41.7% remaining of a minute.

Now, as we have that,

75% of a minute = 45 seconds

41.7% of a minute = 25 seconds

Since, Jacob had $(5)/(12)$ time remaining.

Thus, Jacob had = 60 - 25 = 35 seconds remaining.

So, Daniel ran in 45 seconds and Jacob ran in 35 seconds.

Hence, we get that, Jacob finished the race faster than Daniel.

Answer 2

Answer:

Jacob

Further explanation

Given:

At a track meet, Jacob and Daniel compete in 220 m hurdles.

Daniels finishes in $(3)/(4)$ of the a min.

Jacob finishes with $(5)/(12)$ of a min remaining.

Question:

Who ran the race in faster time?

The Process:

Let us see the denominators. The least common multiple (LCM) of 4 and 12 is 12.

Let us draw the diagram that represents a minute.

$\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}$ 12 units represent in one minute.

Daniels finishes in $(3)/(4)$ of the a min.

$(3)/(4) = (9)/(12)} \rightarrow \boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}$ or 9 of 12 units.

Jacob finishes with $(5)/(12)$ of a min remaining, or 5 of 12 units. This means Jacob finishes in $(7)/(12)$ or 7 of 12 units, that is $\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}$

And now we conclude who ran the race in a faster time.

Daniels: $\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}$

Jacobs: $\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}\boxed{\circ}$

Because Jacob took the race in a shorter time, he was who ran the race in a faster time.

- - - - - - - - - -

Quick Steps

Daniels: in $\boxed{ \ (3)/(4) = (9)/(12) \ }$ of the a min.

$\boxed{(9)/(12) * 60 \ minutes = 45 \ seconds}$

Jacob: in $\boxed{ \ 1 - (5)/(12) = (7)/(12) \ }$ of the a min.

$\boxed{(7)/(12) * 60 \ minutes = 35 \ seconds}$

Jacob's time is shorter, so he's the fastest.

- - - - - - - - - -

Calculate the speed

Recall $\boxed{speed = distance / time}$

Daniels: $\boxed{speed = 220 \ m / 45 \ seconds = 4(8)/(9) \ m/s \ }$

Jacob: $\boxed{speed = 220 \ m / 35 \ seconds = 6(2)/(7) \ m/s \ }$

Thus, Jacob's speed proved greater than Daniels's speed.

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Keywords: at a track meet, Jacob and Daniel, compete in 220 m hurdles, Daniels, finishes, in 3/4 of the a min, Jacob, finishes, with 5/12 of a min, remaining, who, ran, the race, in faster time, diagram

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Answers

Answer:

Step-by-step explanation:

the domain for (2x-1)/(x^2-7) is x not equal to +/- sqrt(7)

A bank teller has 7 rolls of coins. each roll has 40 coins. how many does the bank teller have?

Answers

well if you have a calculator then you can do this watch:... so with the calculator do 40 times 7 then hit = and that will give you then answer but i want to help you
so...
40 * 7 = 280
So that means the bank tell has a total of 280 coins with him

You do 40 x 7 which is 280

one common factor of 2 numbers is 40 another common factor is 10 if both numbers are less than 100 what are the two numbers

Answers

so, if one common factor is 40, then they also have all the factors of 40 in common: 2,4,5,8,10... so we don't need to know that the other common factor is 10.

but there are only two multiples of 40 smaller than 100: 40 and 80. and if those numbers are not the same number, then they must be 40 and 80!

Round 44,769 to the nearest ten

Answers

44,769
first we identify wich one is in the tenth position, In this case it is the 6. Now we look at the number next to our number in the ones position. In this case is 9. from 0 to 4 our number would stay the same but from 5-9 it changes so our answer is
44,770

When rounding to the nearest ten, always check up onthe ones place value. 9 is the ones place value digit: 44769

As I said before on the other answer: 4 or less, round down,5 or more, round up.

44769 rounded to the nearest ten is 44770.
Hope this helps!

What fraction of a pound is seventy pence?

Answers

100 pence = 1 pound
70 pence = 70/100
= 7/10 pound

three rock climbers started a climb with each person carrying 7.8 kilograms of climbing equipment. A fourth climber with no equipment joined the group The group divided the total weight of climbing equipment equally among the four climbers