46. An olympic athlete has just completed a four mile run. His average time was 6 minutes per mile. If he ran the first and last mile in 5 minutes, and the other 2 were the same time as each other, what was the average time for the 2 miles in the middle

Answers

Answer 1

Answer:

7 minutes

Step-by-step explanation:

average time = 6 minutes per mile

sum = average * count = 6 minutes / mile * 4 miles = 24 minutes

first + last mile = 5 + 5 = 10 minutes

first + second + third + last mile = sum = 24 minutes

second + third = sum - first - last = 24 - 5 - 5 = 24 - 10 = 14 minutes

average of 2 miles in the middle = sum / count = 14 minutes / 2 = 7 minutes


Related Questions

In Lucy's coin collection, 15% of the coins are quarters.

If there are 12 quarters, find the total number of coins in Lucy's coin collection.

Answers

The total number of coins in Lucy's coin collection is equal to 80 coins.

Let the total number of coins be C.

Given the following data:

Percentage of quarters = 15%Total number of quarters = 12 quarters

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

[tex]\frac{15}{100} \times C = 12\\\\15C=12 \times 100\\\\15C =1200\\\\C=\frac{1200}{15}[/tex]

C = 80 coins.

Read more on word problem here: https://brainly.com/question/24604067

Answer:

80 coins

Step-by-step explanation:

Let the total number of coins be C.

Given the following data:

Percentage of quarters = 15%

Total number of quarters = 12 quarters

To the total number of coins in Lucy's coin collection:

Since the percentage of the quarters in Lucy's coin collection is equal to fifteen percent (15%) of the total number of coins. Thus, we would multiply the total number of coins by 15% and equate it to 12 quarters.

Total number of coins:

C = 80 coins.

So the total number of coins in Lucy's coin collection is 80 coins.

Suppose y varies directly with x where y=21 when x=7 find y when x = 15

Answers

Golfkrieg ist die ganze Woche im Auto oder ist das 56357

Katrina is solving the equation x minus 2 (x 3) = 4 (2 x 3) minus (x 4). Which equivalent equations might Katrina use? Check all that apply. X minus 2 x minus 6 = 8 x 12 minus x minus 4 x minus 2 x 6 = 8 x 12 minus x 4 x minus 2 x minus 6 = 8 x 12 minus x 4 x minus 2 x 3 = 8 x 3 minus x 4 Negative x minus 6 = 7 x 8 Negative x 6 = 7 x 16 Negative x minus 6 = 7 x 16 Negative x 3 = 7 x 7.

Answers

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: https://brainly.com/question/24734894

The value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Given the equation solved by Katrina expressed as;

x - 2 (x + 3) = 4 (2 x + 3) - (x + 4).

Expand using distributive law;

x - 2x - 6 = 4(2x) + 4(3) - x - 4

x - 2x - 6 = 8x + 12 - x  - 4

-x - 6 = 7x + 8

-x - 7x = 8 + 6

-8x = 14

x = 14/-8

x = -7/4

Hence the value of x according to the equation is -7/4 and the equivalent equations that Katrina might use is x - 2x - 6 = 8x + 12 - x  - 4

Learn more on expressions here: brainly.com/question/24734894

Identify the terms and like terms in the expression.3n+7−n−3

Answers

Answer:

n

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers.

HELP PLZ I NEED THIS DONE ASAP

Answers

Answer:

Step-by-step explanation:

The answer would be -19

Given, y = -2[tex] {y}^{2} + 9y + 3 \\ = {( - 2)}^{2} + 9( - 2) + 3 \\ = 4 - 18 + 3 \\ = 7 - 18 \\ = - 11[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Please answer the following question
(d+m)A=2
A= ?

Answers

Answer:

A is equal to 3

please mark me as brianleast

(d+m)A=2
It can be rewritten as A(d+m)=2
The opposite of multiplying is division is divide (d+m) on both sides

A=2/(d+m)

Between which two intervals on the number line is V38?

A.) 6.0 and 6.05

B.) 6.6 and 6.65

C.) 6.15 and 6.2

D.) 6.1 and 6.15

Answers

need to just answer questions but try a maybe

X - 5V + 17 = 0 2x+ V + 1 = 0

Answers

Answer:

x= -[tex]\frac{10}{3}[/tex], v = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

x= - 10/3, v = 7/3

jus so u want to copy so u don't have to type ur self

Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description?

Answers

2x+.50 because the rate is 2 so it goes with x and one time payment of .50 so it is the y intercept

how to find the perimeter of a triangle with vertices

Answers

Answer:

P = A + B + C

Step-by-step explanation:

Essentially, just add the length of each side. The sum is the perimeter.

Hit brainliest if this was helpful :)

add each side

hope ithelps you

Help again please
A stack of 400 pieces of paper is 1.800 inches tall.
A. Derion guesses that each piece of paper is 0.015 inches thick. Explain how you know that Derion’s answer is not correct.

B. Compute the thickness of each piece of paper. Show your reasoning.

Answers

Think the answer may of be A.

5(2+(-9))+-25
HELP
PLZZ

Answers

Answer: -60

Step by step
5 (2 - 9) -25
Start by distributing which will give you
10 - 45 - 25
Combine your like terms giving you
-60

Answer:

-115

Step-by-step explanation:

Using BODMAS

+(-9) = -9

2(-9) = -18

5(-18) = -90

(-90) + (-25) = -90 - 25 =  -115

order the numbers from least to greatest .

Answers

least to greatest

-4.5

-4

-3 1/2

-3

2.5

Answer:

-4.5, -4, -3 1/2, 2.5, 3

Step-by-step explanation:

What is the GCF of 14mn, 56m^2n^3, 28m^3n^2?
a) 7m^2n^2
b) 7mn
c) 14m^3n^3
d) 14m^2n^2
e) 14mn

Answers

Answer:

e) 14mn.

Step-by-step explanation:

The GCF of 14, 56 and 28 is 14,

The GCF of m, m^2 and m^3 is m.

The GCF of n, n^2 and n^3 is n.

The answer is therefore 14mn.

What is the measure of angle PNL?

43°
47°
86°
94°

Answers

Answer:

43°

Step-by-step explanation:

Answer:

A-   43

Step-by-step explanation:

ed2022

The scale for an
airplane is 1 cm
for 15 feet. If the
plan is 9 cm
long, how long is
the actual plane?

Answers

Answer:

  135 ft

Step-by-step explanation:

Each centimeter represents 15 feet, so 9 centimeters will represent ...

  9 × 15 ft = 135 ft

The plane is 135 feet long.

the monthly income of a family is rs 2500 the ratio of the expenditure and saving is 3:2 find amount of saving.​

Answers

Answer:

The amount of saving is Rs.1000.

Step-by-step explanation:

Solution :

Let the,

>> Expenditure = 3x>> Saving = 2x

So, solving for x.

[tex]{\dashrightarrow{\tt{Expenditure + Saving = 2500}}}[/tex]

[tex]{\dashrightarrow{\tt{3x + 2x = 2500}}}[/tex]

[tex]{\dashrightarrow{\tt{5x = 2500}}}[/tex]

[tex]{\dashrightarrow{\tt{x = 2500 \div 5}}}[/tex]

[tex]{\dashrightarrow{\tt{x = \dfrac{2500}{5}}}}[/tex]

[tex]{\dashrightarrow{\tt{x = \cancel{\dfrac{2500}{5}}}}}[/tex]

[tex]{\dashrightarrow{\tt{x =500}}}[/tex]

[tex]{\star{\underline{\boxed{\tt{\red{x =500}}}}}}[/tex]

Hence, the value of x is 500.

Thus,

>> Expenditure = 3 × 500 = Rs.1500>> Saving = 2 × 500 = Rs.1000

[tex] \rule{300}{1.5}[/tex]

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165

Answers

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).65% of 70%(did not get the shot).

Hence:

[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]

The probability of both having the flu and getting the shot is:

[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer:

flu shot

flu

no flu

.30

.20

Step-by-step explanation:

trust

Given that m||n, determine the relationship between ∠9 and ∠15.

Answers

The relationship between ∠9 and ∠15 is (c) alternate exterior angles.

There are several relationships that can be formed by angles within the transversal of parallel lines.

From the attached figure, we can see that angles ∠9 and ∠15 are exterior angles of parallel lines m and n.

Because these lines are parallel, then both angles are alternate exterior angles.

Read more about parallel lines at:

https://brainly.com/question/24607467

simply 5(x-y)+2(x+y)​

Answers

Answer:

5x-5y+2x+2y

7x-3y

That's it

Solve: x + 1 < 4 and 3 - x > 5

Answers

Answer:

okokok

Step-by-step explanation:

The area of a rectangle is 65 square inches.
The length is x + 5, and the width is x – 3.
Find the value of x, and the dimensions of the rectangle.
A = lw

x=
length =
width=

Answers

Answer:

x=-10,8

length=13

width=5

Step-by-step explanation:

(x+5)(x-3)=65

x^2+2x-15-65=0

x^2+2x-80=0

(x+10)(x-8)=0

x=-10,8

x+5

(-10)+5=-5, negative length does not make sense

x+5

8+5=13

x-3

(-10)-3=-13, negative width does not make sense

x-3

(8)-3=5

Answer:

x=8

length= 13inches

width=5inches

Step by step explanation:

A=lw

65= (x+5)(x-3)

65= x²-3x+5x-15

x²+2x-80=0

x²+ 10x - 8x - 80 = 0

x(x+10) -8(x+10) = 0

(x-8)(x+10)=0

x= 8 or -10

x cannot be negative

hence x= 8

length= x+5

=8+5

=13inches

width= x-3

=8-3

=5inches

Which inequality is true when x = 4?

Answers

Answer:

x + 5 < 3

Step-by-step explanation:

One inequality could be x > 3. So when x = 4 this is true because 4 is greater than 3.

Plz, Help Me!!!
Which graph represents the equation (x + 4)^2 + (y + 5)^2 = 36?

Answers

Answer:

d

Step-by-step explanation:

the center of the circle is at (-4. -5) with a radius of 6

the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price

can someone please awnser this right away

Answers

Answer:

[tex]25 \times \frac{60}{100} = 15[/tex]

Step-by-step explanation:

Multiply 25 by 60%

simplify 7 1/3t-(10 2/3t-6) it looks crazier than it is pls help

Answers

Answer:

7/3t-2(10/3t-3)

Step-by-step explanation:

7*1/3t=7/3t

-(10*2/3t-60)=-2(10/3t-3)

=7/3t-2(10/3t-3)

I NEED HELP ON THIS MATH PROBLEM ASAP

Answers

Answer:

y= -5x +5

Step-by-step explanation:

A laptop has a listed price of $613.99 before tax. If the sales tax rate is 8.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

Answer:

$666.18

Step-by-step explanation:

613.99 x (1+(8.5/100)) = 666.17915 (rounded up to 666.18)

On a scale drawing of a town,two landmarks are shown 6 inches apart. These two places are actually separated by 54 miles. What is the map's scale? 1 inch = ______ miles​

Answers

Answer:

9

Step-by-step explanation:

[tex]54 \div 6 = 9[/tex]

I need help with this question ASAP!

Answers

the answer is c because 3/6 simplified is equal to 1/2
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