I WILL GIVE BRAINLIEST Graph the system of equations, state the coordinates of the point(s) in the solution set.

in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours,

algol [13]

in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.

D = distance of marathon = 42.195 km = 42195 m

tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec

Vw = speed of winner

speed of winner is given as

Vw = D /tw = 42195/8220

ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s

Vs = speed of second place

speed of second place is given as

Vs = D /ts = 42195/8774

distance of the second place holder from the finish line is given as

D' = Vs (ts - tw)

D' = (42195/8774 )(8774 - 8220)

D' = 2664.24 m

D'= 2.664 km

To learn more about distance visit:brainly.com/question/15172156

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7 0

1 year ago

A movie theater has a seating capacity of 253. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

Zepler [3.9K]

Answer:

children attended= 114

adults attended= 57

students attended= 82

Step-by-step explanation:

children attended= c

adults attended= a

students attended= s

c+s+a = 253

5c + 7s + 12a = 1828

c=2a

2a + s + a =253

5*2a + 7s + 12a = 1828

3a + s = 253

22a + 7s = 1828

s = 253 - 3a

22a + 7(253 - 3a) = 1828

22a - 21a + 7*253 = 1828

a = 1828 - 7*253

a = 57

s = 253 - 3a = 253 - 3*57 = 82

s = 82

c=2a=2*57= 114

c=114

6 0

3 years ago

REALLY NEED MATH MIDPOINT STUFF HELP

elena-14-01-66 [18.8K]

The answer to this question would be: (6.5 , 8.5)

To answer this question, you need to determine the x and y distance of both point. From A point the distance would be:
X distance= 14-4= 10
Y distance= 10-8= 2

Making it into 1:3 ratio means that dividing the line into 4 parts then take 1 part from the point A, or 3 part from point B. From A point the distance would be 1/4 total distance
The location would be:
X= 4 + (10*1/4)= 6.5
Y= 8+ (2*1/4)= 8.5
(6.5 , 8.5)

4 0

3 years ago

Read 2 more answers

US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average

scoray [572]

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

$\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50$

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79$

The 99% confidence interval for the population mean is (7661.21, 7918.79).

8 0

3 years ago

Find the value of x and the perimeter of the following shapes:

ratelena [41]

Answer:

x=2, perimeter=14

Step-by-step explanation:

Finding x

(x+1)(x+2)

x^2+2x+x+2=12

x^2+3x-10

x^2-2x+5x-10

x(x-2)5(x-2)

(x+5)(x-2)

x=-5

x=2

Length or Width should be a positve number.

x=2

Perimeter:

3+3+4+4=14

5 0

3 years ago