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3 years ago

Pierre is running 26 and 2/10 miles in the marathon. he has ran 3/4 of the way. How far has he run?

1 answer:

3 0

Distance=(3/4) * (26 2/10 miles)

26 2/10 miles=26 1/5 miles=(5*26+1) / 5 miles=131/5 miles.

Therefore:

distance=(3/4) * (26 2/10 miles)=(3/4) * (131 /5 miles)=
=(131 *3) / (4*5) miles=393/20 miles= (19*20+13)20 miles=19 13/20 miles.

he has run 393/20 miles or 19 13/20 miles

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The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of

stiks02 [169]

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

$V = kl$

Putting V = 325 and l = 13

$325 =k(13)\\k = \frac{325}{13}\\k = 25$

Hence,

The constant of proportionality for the group of boxes is: 25

5 0

3 years ago

At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. The bicyclist head

nalin [4]

Answer:

D Option is the correct one.

Step-by-step explanation:

As,

Distance covered = 40km = 40000m(1k=1000m)

time = 10:15-9:00 = 1:15hours = 75mins

We need to find the rates of the bicyclist in one hour so, for this first we need to calculate the total distance which covered in one hour.

For calculating distance for one hour,

40000/75 = 533.33m/min (means they covered 533.33m distance in one min)

for one hour:

533.33*60= 32000m = 32km

They covered 32km distance in one hour.

Now from the given options D is the correct one because according to give condition north bicyclist covered 4km more that south one. And other reason is we also need to check the sum of distance covered by the both cyclist which must be equal to 32km.

So for A,

Sum = 19 + 15 =34 (wrong not equal to 32)

For B,

Sum = 18 + 13 = 31 (wrong)

For C,

Sum = 16 + 10 = 26(wrong)

For D,

Sum = 18 + 14 = 32 (Right)

And second distance b/w both distance is 4km.

18-14 = 4(Right)

So, D option is the right one.

I hope it will help you.

7 0

2 years ago

Hello please help me

cestrela7 [59]

Answer:

it would be the second one

Step-by-step explanation:

hope this helps

6 0

3 years ago

Jason had three more than four times the amount of money that Jeff has. Together they have $72. How much money does each person

adelina 88 [10]

Answer:

Jason has $58.20 and Jeff has $13.80.

Step-by-step explanation:

Let x represent the amount of money Jason has, and y represent the amount of money Jeff has.

We know that together they have $72. So, we can write the following equation:

$x+y=72$

We know that Jason has three more than four times the amount of money Jeff has. So:

$x=3+4y$

This is a system of equations. We can solve it by using substitution. Let's substitute the second equation into the first. This yields:

$(3+4y)+y=72$

Combine like terms:

$5y+3=72$

Subtract 3 from both sides:

$5y=69$

Divide both sides by 5:

$y=69/5=\$13.80$

So, Jeff has $13.80

We know that Jason has three more than four times the amount of money Jeff has.

Therefore, Jason has:

$x=13.8(4)+3$

Multiply and add:

$x=\$58.20$

So, Jason has $58.20 and Jeff has $13.80.

And we're done!

7 0

3 years ago

A number that multiples a variable in a term is a _____.

adelina 88 [10]

Answer:

A. Coefficient

Step-by-step explanation:

The coefficient comes right before the variable, which is the unknown number. The other number that might be there is the constant, and that number does not have a variable with it.

7 0

3 years ago

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