An eight-person relay team completed a race in 96.8 seconds. On average, what was each runner's time?

Answers

Answer 1

Answer:

12.1

Step-by-step explanation:

Answer 2

Answer:

12.1 Seconds

Step-by-step explanation:

96.8/8=12.1


Related Questions

use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1


pls help me
I will give brainliest​

Answers

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

When a number is divided by 5, it has a remainder of 4.
The number is between 35 and 40.
What is the number?

Answers

Answer:

37

Step-by-step explanation:

I plugged in the numbers between 35 and 40 and got this. No problem. :)

hey I really need help on this one please help me thanks

Answers

Answer:

y = -10/3x -23

Step-by-step explanation:

Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.

We are trying to find m.

Slope-intercept formula:

m = y2-y1/x2-x1

Now let's identify our points, (-9,7) and (-6,-3).

= -3-7/-6+9

= -10/3

Point-slope formula:

y-y1 = m(x-x1)

Now let's identify our points, (-9,7) and (-6,-3).

-3 - 7 = m(-6 + 9)

-10 = 3m

-10/3 = m

Now, we have to use slope-intercept formula to find our b.

y = mx+b

y = -10/3x + b

Let's substitute one of the points, any given points work!

7 = -10/3(-9) + b

7 = 30 + b

-23 = b

Let's put it back in.

y = -10/3x -23

Which TWO identify the same sequence?


A) f(x) = 6x + 4 for x = {1, 2, 3, ...}


B) f(x) = 10x + 4 for x = {1, 2, 3, ...}


C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}


D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}


E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}

Answers

A and E are equivalent sequences

The sequences A and E are the same sequences.

What is Sequence?

Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.

A) f(x) = 6x + 4 for x = {1, 2, 3, ....}

f(1) = 10, f(2) = 16, f(3) = 22, ....

B) f(x) = 10x + 4 for x = {1, 2, 3, ...}

f(1) = 14, f(2) = 24, f(3) = 34, ....

C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}

a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....

D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}

a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....

E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}

a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....

A and E are the same sequences with a common difference 6 and the first term 10.

Hence A and E have the same sequence 10, 16, 22, .....

To learn more about Sequences, click :

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#SPJ5

Which histogram represents this data set? 6, 7, 6, 2, 4, 5, 7, 1, 5, 8, 3, 5, 8

Answers

Answer:

See attached

Step-by-step explanation:

You do not have options, but a histogram that would represent this data is attached.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Solve for x. Round to the nearest tenth, if necessary.
1.8
P
х
1400
o

Answers

Answer:

13.6

Step-by-step explanation:

Help me please ill mark as the brainiest if correct. I don't know how so please tell me

Answers

Answer:

:)))))

Step-by-step explanation:

<3

Write an equation for the line parallel to the line – 25x + 5y = -9 through the point (0,0).

help pls!

Answers

Answer:

Step-by-step explanation:

Rewrite the equation is standard format:  y = mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).  \

– 25x + 5y = -9

5y = 25x - 9

y = 5x - (9/5)

This line has a slope of 5.  A parallel line will have the same slope as the reference line.  This means:

y = 5x + b

Any line with a slope of 5 will be parallel, regardless of the value of b.  We need b, however, since we also want this line to cross point (0,0).  We can use this point in the equation and solve for b:

y = 5x + b

0 = 0x + b

b = 0

Our line becomes y = 5x + 0, or

y = 5x  

[Note that we could also say b=0 just by looking at the given point.  The y-intercept, b, is the value of y when x=0.  The point we were given tells us y = 0 at x = 0.

Please answer the question on the image.

Answers

Answer:

both isosceles???

Step-by-step explanation:

Answer:

They are similar.

Step-by-step explanation:

There might be other ways but

<X(Angle of x) is used for both triangle XAB and XYZ

And lines AB and YZ are parallel, From this we know that a line intersected by parallel lines it forms same angles for both parallel angles.

The similarity statement is: AAA Because angle(A=B , B=Z)

Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks

Mrs. McMillan, the PE, teacher, is pairing off students to race against each other. Heather can
run 4 meters per second, and Erin can run 5 meters per second, Mrs. McMillan decides to give Heather a head start of 23 meters since she runs more slowly. Once the students start
running, Erin will quickly catch up to Heather. How far will Erin have to run? How long will
that take?

Please help.

Answers

Answer:

23 seconds later Erin will catch up

Erin will run 115 meters

Step-by-step explanation:

23+4x=5x

x=23

23 seconds later Erin will catch up

Erin will run 115 meters

A newborn child receives a ​$6000 gift toward a college education from her grandparents. How much will the ​$6000 be worth in 18 years if it is invested at ​7.6% compounded​ quarterly?

Answers

Answer:

333.333333333

Step-by-step explanation:

you have to divide

URGENT PLS HELP

John is driving around town. When he reaches the gas station, he notes that he has traveled 18 miles. He reaches home 2 hours later and notes that he has traveled 34 miles. If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?

1. d = 18t + 52
2. d = 16 + 18t
3. d = 8t + 18
4. d = 8t - 18

Answers

2. d=16 + 18t because 18 represents the miles he noted and adding the 16 would be 34. Since t is representing time, and you don’t know in how much time he traveled 18 miles it’d be with the 18.

In a parking lot 30% of the cars are white write this as a decimal

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

[tex]{ \tt{30\% = 0.3}} \\ [/tex]

LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( use the scale factor to write the ordered pairs after the dilation )

Answers

A = (0,0)
B = (-15,10)

At the airport, each piece of luggage to be checked in must not weigh more than 50
pounds.
Use w to represent the weight (in pounds) of a piece of luggage that can be checked in.

Answers

Answer:

w [tex]\leq[/tex] 50

Step-by-step explanation:

Which of the following decimals is equal to 3 1/40
?


please explain why
3.0025

3.025


3.0250

Answers

Answer:

3.025

Step-by-step explanation:

the answer is 3.025 because 1/40 simplified is 0.025 and add the 3 to get 3.025

Answer: 3.0250

Step-by-step explanation: To convert this mixed number (fraction) to a decimal just follow these two steps:

Step 1: divide numerator (1) by the denominator (40): 1 ÷ 40 = 0.025

Step 2: add this value to the the integer part: 3 + 0.025 = 3.025. So,

3 1/40 = 3.025

A couple can afford to make a monthly mortgage payment of $700. If the mortgage rate is 2% and the couple intends to secure a 30-year mortgage, how much can they borrow?

Answers

Answer:    $189,383.96

========================================================

Explanation:

r = 0.02 = decimal form of 2% annual interesti = monthly interest ratei = r/12 = 0.02/12 = (2/100)/12 = 1/600.n = number of months = 12*30 = 360P = monthly payment = 700

We'll plug those items into the formula below.

L = loan amount

L = P*( (1+i)^n - 1)/( i*(1+i)^n )

L = 700*( (1+1/600)^360 - 1 )/( 1/600*(1+1/600)^360 )

L = 189,383.961539639

L = 189,383.96

The couple can afford to borrow at most $189,383.96


Find the slope of the line. Describe how one variable changes in relation to the other.
A. 2/3; the amount of water increases by 2 gallons every 3 min
B. -2/3; the amount of water decreases by 2 gallons every 3 min
C. -3/2; the amount of water decreases by 3 gallons every 2 min
D. -1; the amount of water decreases by 1 gallon every minute

Answers

Answer:

D. -1 the amount of water decreases by 1 gallon every minute.

Step-by-step explanation:

15, 0 -> 12, 3  

3 - 0 = 3  

-------

12 - 15 = -3

3/ -3 = -1

Jamal has a plan to save money for a trip. Today, Jamal deposits $8.00 into the savings account. Each week, Jamal will add $5.00 to the amount that is deposited into the savings account. The table below shows the relationship between the number of weeks and how much money, in dollars, Jamal deposits into the savings account. Week 0 1 2 3 4 Deposit (Dollars) 8 13 18 23 28 Let f(x) represent the amount of money Jamal deposits into saving account at the end of x weeks. Based on the table, what is f(8)?

Answers

Answer:

f(8) = $48

EQUATION

f(x)= 8+5(x)

Step-by-step explanation:

initial value = $8

every week there is an additional $5 added.

f(x) = 8+5x

f(8) = 8+ 5(8) = 8 + 40 = 48.

At the end of week 8 (x=8) , Jamal has $48 (y=48) saved.

40 pts! PLEASE HELP FAST WILL MARK BRAINLIEST
Complete the table below to solve the equation 2.5x - 10.5 = 64(0.5x).
X
f(x) = 2.5x – 10.5
g(x) = 64(0.5x)
2
3
4
5

Answers

Answer:

f(2) = 2.5×2-10.5

=5-10.5

=-5.5

g(2) = 64(0.5×2)

= 64×1

=64

f(3)=2.5×3-10.5

=7.5-10.5

=-3

g(3)=64(0.5×3)

=64×1.5

=96

f(4)=2.5×4-10.5

=10-10.5

=-500

g(4)=64(0.5×4)

=64×2

=128

f(5)=2.5×5-10.5

=12.5-10.5

=2

g(5)=64(0.5×5)

=64×2.5

=150

I think it is the processs It will help you

Convert 62% into a fraction

Answers

Answer:

62/100 but simplified is 32/50

Seven less than one-fourth of a number is 2. What is the number?

Answers

Based on the equation given, it can be deduced that the value of the number will be 36.

Let the number be represented by x

Therefore, seven less than one-fourth of a number will be:

=(1/4 × x) - 7

= 0.25x - 7

Now, seven less than one-fourth of a number is 2 will be written as:

0.25x - 7 = 2

0.25x = 2 + 7

0.25x = 9

x = 9/0.25

x = 36

Learn more about equation on:

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are 1/2 and 2/4 proportional?​

Answers

Answer:

yes they are proportional

Yes, 1 is half of 2 and 2 is half of 4

write the equation of the line which has the given slope "m" and whivh passes through the given point...
a.(2,10) and m= -4
b.(4,-4) and m=3/2
c.(0,0) and m=3/5​

Answers

equation of the line which has the given slope "m" and whivh passes through the given point...

a.(2,10) and m= -4

b.(4,-4) and m=3/2

c.(0,0) and m=3/5

the a,b, and c have the same formula


It costs $4.00 for 25 fl. oz. of detergent or $3.40 for 20 oz. Which is a better buy?

Answers

the 25 oz container is better because the unit price is 16 cents an oz and the unit price for the 20 oz is 17 cents

90 is 95% of what number?​

Answers

Answer:

94.74

Step-by-step explanation:

Hope this helps!

Answer:

94.74

Step-by-step explanation:

Who are you favorite male country singers?

Answers

Answer:

kanye west

Step-by-step explanation:

Thomas Rhett, Luke combs, Florida Georgia line

What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w

Answers

Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W

Step-by-step explanation:

Answer:

LCD/ LCM = 100

Step-by-step explanation:

- 12.2 + 2.8W - 8.8 = 1.05W

- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W

- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W

the LCM/ LCD is 100

Given the following computer output, select the correct least-squares regression line:

Answers

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

According to the information presented in the figure, we know the following function:

The independent variable is 'length'.The dependent variable is 'time'.The regression line is of the form: [tex]\ln y = A + B\cdot \ln x[/tex].

Hence, the correct form of the regression line is:

[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)

The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).

To learn more on regression lines, we kindly invite to check this verified question: https://brainly.com/question/7656407

Answer:

D: logTime=0.699 + 0.500

Step-by-step explanation:

0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)

2+2+4+6+9+2+4+5+7+0+10+3

Answers

Answer:

The answer is 54.

Step-by-step explanation:

You add all these numbers up.

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