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andrew-mc [135]
3 years ago
15

The expression m÷4 is the distance each person runs in a relay race that is m miles. How far does each person run in a relay rac

e that is 20 miles?
Mathematics
2 answers:
inna [77]3 years ago
5 0

Answer:

5

Step-by-step explanation:

Replace 20 instead of m

20/4=5

asambeis [7]3 years ago
4 0

Answer : Each person runs 3 miles

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Murljashka [212]

Answer:

The value of g_s is g_s=\frac{30}{21} \:\frac{m}{s^2}.

Step-by-step explanation:

We know that the position function is given by

s(t)=30t-\frac{g_s}{2} t^2

Velocity is defined as the rate of change of position. Therefore,

v(t)=\frac{d}{dt}(s(t))

So, the velocity function is

v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

v(t)=30-g_st=0\\\\g_s=\frac{30}{t}

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5 0
3 years ago
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Step-by-step explanation:

4 0
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A customer goes to a bank and gets change for a $100 bill. The change is to be in $1, $5, and $10 bills. There were four times a
alexira [117]

Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

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z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

5 0
2 years ago
Read 2 more answers
Help!!! Please 20 points!!
drek231 [11]

Answer:

$12.5 per hour

8 0
3 years ago
I have a ribbon 5/7 of a foot. I want to cut it in 5/12 pieces. How many pieces can I cut 5/7 divided by 5/12= 5/7 x5/12= 15/7 p
Otrada [13]
100 cm = 1 meter 
<span>4.5 meter x 100 cm = 450 cm </span>

<span>450 cm / 4.5 cm = number of pieces of ribbon </span>

<span>450/4.5 = 100</span>
5 0
3 years ago
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