Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much?


Richard’s Distance Past the Start Line
Time (minutes)
5
10
15
20
25
Distance (kilometers)
2.8
3.4
4.0
4.6
5.2


A.) Gloria’s time was 0.5 minutes faster.
B.) Richard’s time was 0.5 minutes faster.
C.) Gloria’s time was 2.5 minutes faster.
D.) Richard’s time was 2.5 minutes faster.

Answers

Answer 1
it is c js because i did it
Answer 2

Answer:

the correct answer is C

Step-by-step explanation:


Related Questions

what is 800x864674 divided by 500?

Answers

Answer:1383478.4

Step-by-step explanation:The answer is 1383478.4 and i dont think it can be simplify

Only 0.1% of the individuals in a certain population have a particular disease (an incidence rate of 0.001). Of those who have the disease, 95% test positive when a certain diagnostic test is applied. Of those who do not have the disease, 90% test negative when the test is applied. Suppose that an individual from this population is randomly selected and given the test: a) Calculate P(positive test) b) Calculate P(has disease | positive test)

Answers

We're given

P(has disease) = 0.001

P(positive test | has disease) = 0.95

P(negative test | does not have disease) = 0.90

(a) By the law of total probability,

P(positive test) = P(positive test AND has disease) + P(positive test AND does not have disease)

Recall that the probability of an event A conditioned on another event B is

P(A | B) = P(A AND B) / P(B)

so that

P(positive test) = P(positive test | has disease) * P(has disease) + P(positive test | does not have disease) * P(does not have disease)

P(positive test) = 0.95 * 0.001 + (1 - 0.90) * (1 - 0.001)

P(positive test) ≈ 0.10

(b) From the definition of conditional probability, we hvae

P(A | B) = P(A AND B) / P(B) = P(B | A) P(A) / P(B)

so that

P(has disease | positive test) = P(positive test | has disease) * P(has disease) / P(positive test)

P(has disease | positive test) = 0.95 * 0.001 / 0.10

P(has disease | positive test) ≈ 0.0094

The probability will be "0.017699".

Given:

Incident rate,

0.1% or 0.001[tex]P(D) = 0.001[/tex][tex]P(D')= 1-0.001[/tex]        

                   [tex]= 0.999[/tex]

[tex]P(\frac{P}{D} ) = 0.95[/tex][tex]P(\frac{N}{D} ) = 0.9[/tex]

Now,

→ [tex]P(\frac{N}{D'} ) = 1-P(\frac{N'}{D'} )[/tex]

             [tex]= 1-0.95[/tex]

             [tex]= 0.05[/tex]

then,

→ [tex]P(\frac{D}{N} ) = \frac{Pr(D)\times P(\frac{N}{D} )}{P(N)}[/tex]

or,

            [tex]= \frac{Pr(D)\times P(\frac{N}{D} )}{P(D) \ P(\frac{N}{D} )+P(D') \ P(\frac{N}{D'} )}[/tex]

By substituting the above values, we get

            [tex]= \frac{0.001\times 0.9}{0.001\times 0.9+0.999\times 0.05}[/tex]    

            [tex]= \frac{0.0009}{0.0009+0.04995}[/tex]

            [tex]= \frac{0.0009}{0.05085}[/tex]

            [tex]= 0.017699[/tex]

Learn more:

https://brainly.com/question/16972053

clare wants a to mail a package that weighs 4 1/2 pounds. what could be its weight in kilograms explain

Answers

Answer:

urmom

Step-by-step explanation:

GAY

3. Simplify:
(x-2/3+y-1/2)6​

Answers

Answer:

Hello

Step-by-step explanation:

[tex](x - \frac{2}{3} + y - \frac{1}{2} ) \times 6 = 6 \times x - \frac{2}{3} \times 6 + 6 \times y - \frac{1}{2} \times 6 = 6x - 4 + 6y - 3 = 6x - ( - 7) = 6x + 7[/tex]

Which of the following quadrilaterals are similar?

Answers

The first one and last one because it’s has abcd all round them both of the but the line change.it makes them similar because their the Same shape with the parts change.

The sum of 3 times a number and 6 is 8.

Answers

Answer:

The number is 4/9

Step-by-step explanation:

3(6*(4/9))=3*(2+(2/3))=8

A gallon of gas is currently $3.24. How much money will it cost to fill my tank, which is 19 gallons?



hurry quick
10 points

Answers

Answer:

61,56

Step-by-step explanation:

1 = 3,24 so 3,24 x 19 = 61,56

Veronica sells Internet ads over the phone. She is paid $12 per hour plus $15 for every ad she sells. She works 4 hours a day 5 days a week and sells on average 13 ads per day. What are her weekly earnings?

Answers

Answer:

1215

Step-by-step explanation:

Answer:

the answer is 1215 :D

Step-by-step explanation:

At right are the graphs of two quadratic equations. One of them is the graph of
[tex]y = 3x ^{2} [/tex]
What is the equation of the other graph? Explain how you know.



Explanation:

Answers

Answer:

789x86=8u

Step-by-step explanation:

how do make number lines

Answers

Answer:

Select the plain line in the Insert Shapes group. Place your cursor where you want a tick mark on your line, hold the "Shift" key, and drag to create a vertical mark. Holding the Shift key ensures a straight line.

Step-by-step explanation:

What is the absolute value of -2.7?

Answers

Answer:

2.7

Step-by-step explanation:

if it shows this then [-2.7] its just the number like this [2.7] its the same answer.

2.5/6 = h/9 h=? What does this mean

Answers

Answer:

h = 3.75

Step-by-step explanation:

Step 1: Write equation

2.5/6 = h/9

Step 2: Solve for h

Cross multiply: 22.5 = 6hDivide both sides by 6: 3.75 = hRewrite: h = 3.75

Step 3: Check

Plug in h to verify it's a solution.

2.5/6 = 3.75/9

0.416667 = 0.416667

Answer:

h = 3.75

Step-by-step explanation:

Given

[tex]\frac{2.5}{6}[/tex] = [tex]\frac{h}{9}[/tex] ( to solve for h, cross- multiply )

6h = 22.5 ( divide both sides by 6 )

h = 3.75

The expressions for 8 power -2
as the power with the
Base 2 is

Answers

Answer:

[tex] \frac{1}{2 {}^{6} } [/tex]

Step-by-step explanation:

[tex]{ 8}^{ - 2} [/tex]

[tex] \frac{1}{ {8}^{ 2} } [/tex]

[tex] \frac{1}{(2 {}^{3}) {}^{2} }[/tex]

[tex] \frac{1}{2 {}^{6} } [/tex]

How many boys are there in a group of 27 students if there are four-fifths as many girls as there are boys?

Answers

Answer:

15 boys

Step-by-step explanation:

There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.

The attendance of your club increased by 30% from last year. There are 195 people in the club now.

Answers

Answer:

last year it was 150

Step-by-step explanation:

last year =100 ; increase= 30

total =130

130=195

100= 195/130=150

the formula for the area of a trapezoid is a=1/2(b

Answers

Answer:

area=[(a+b)/2]*h

Step-by-step explanation:

a= longer base length

b= shorter base length

h= height of trapezoid

What property is 2•1/2=1

Answers

Answer:commutative property

Step-by-step explanation:

Commutative property.

u = kx+y solve for x

Answers

Step-by-step explanation:

Kx = u - y

Divide both sides by k

X = u - y

K

I think that's the answer

Hope it helps:)

Solve for all values of x by factoring.
x^2-6x+20=6x

Answers

Answer:

x=10 or x=2

Step-by-step explanation:

msg me if ya need step

<3, Red

1.02

4.

Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.


f(x) = 2x2 + 16

g of x equals the square root of the quantity 5 x cubed

Answers

Answer:

Step-by-step explanation:

Given f(x) = 2x²+16

g(x) = √5x³

First is to get the composite function f(g(x))

f(g(x)) = f(√5x³)

To get f(√5x³), we will replace x in f(x) with √5x³ as shown:

f(√5x³) = 2(√5x³)²+16

f(√5x³) = 2(5x³)+16

f(√5x³) = 10x³+16

Hence f(g(x)) = 10x³+16

f(g(x)) will be the function of amount earned by Raul for the total number hour he works

Answer:

10x^3 dollars/hour

Step-by-step explanation:

What is the absolute value of -46.6?

Answers

Answer:

[46.6]

Step-by-step explanation:

Absolute value has no negatives.

46.6 because the absolute value is just the number except it is positive

How do you solve
6⋅1/3x+6⋅1/2=2x+3

Answers

Answer:

x = -3/2, 1

Step-by-step explanation:

1. Use Rule of One

2. Take out the constants

3. Simplify 6/3 to 2

4. Use the product rule

5. Simplify

6. Move all terms to one side

7. Simplify

8. Split the second term

9. Factor out the common terms

10. Factor out the common term (again)

11. Solve for x

Please help I don’t understand.

Answers

Answer:

i cant see the blue

Step-by-step explanation:

                       .  

Solve for x cx + mx - y = z​

Answers

Answer:

x = z+y/c+m

Step-by-step explanation:

Solve the equation for
x
x
by finding
a
a
,
b
b
, and
c
c
of the quadratic then applying the quadratic formula.

Number between 17/4 and V20

Answers

Answer:

4.485

Step-by-step explanation:

 [divide 17 by 4]

  [  ]

Now, Midpoint of  4.25 and 4.472 =

Number between 4.25 and 4.472 =4.485

Or number between  and  is 4.485.

A leatherback sea turtles was swimming at 850 below sea level. He went 165 meters and then descendes 165 meters. Draw a number line to show the change in position of the sea turtles from depth it was swimming. What integer represents the sea turtles change in position?

Answers

Answer:

The answer is below

Step-by-step explanation:

a) Let negative means the turtle position when descending and positive for going up. Therefore since the turtle was 850 meters below see level, it was at -850. It then moves 165 meters up, hence its new position is -685 meters (-850 + 165). Lastly it moves down 165 meters, hence its new position is -850 meters (-685 - 165)

b) The change in position is the sum of the movements = +165 - 165 = 0 meters.

The price of fancy coffee has increased 9% each year for the last several years.
If the current cost $8 per pound, what did a pound cost two years ago

Answers

Answer:

$6.56

Step-by-step explanation:

First, take 8 and divide it by 100. Then you have 0.08. multiply that by 9. You get 0.72, that is how much the price increases every year. multiply that by 2, and you get 1.44. subtract 1.44 from 8, and you are left with $6.56, the price it was two years ago.

Which of the following is not a perfect square?
A. 50
B. 49
C. 121
D. 1

Answers

50 is not a perfect square because it doesn’t have a square root.

Hope this helped :)
A. 50
Because there’s no number multiplied by the same number once equals 50

How do you write 2.14 x 10^-5 in standard form by moving the decimal point?

Answers

Answer:

21.4 * 10^(-5)

[tex]\\ \sf\longmapsto 2.14\times 10^{-5}[/tex]

Cancel 1 by 1

[tex]\\ \sf\longmapsto 0.214\times 10^{-4}[/tex]

[tex]\\ \sf\longmapsto 0.0214\times 10^{-3}[/tex]

[tex]\\ \sf\longmapsto 0.00214\times 10^{-2}[/tex]

[tex]\\ \sf\longmapsto 0.000214\times 10^{-1}[/tex]

[tex]\\ \sf\longmapsto 0.0000214[/tex]

A company rents out 17 food booths and 21 game booths at the county fair. The fee for a food booth is $75 plus $10 per day. The fee for a game booth is $95 plus $4 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

Food booth= (75+10d)17

Game booth= (95+4d)21

Step-by-step explanation:

GAME BOOTH

$95 initial fee plus $4 per d amount of days

f(x)=95+4d

Multiply the expression by 21 because you have 21 game booths

FOOD BOOTH

$75 initial fee plus $10 per d amount of days

f(z)=75+10d)

multiply this expression by 17 because their are 17 food booths

hopefully this helps:)

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