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 graph titled Gloria's Distance Past the Start Line has time (minutes) on the x-axis and Distance (kilometers) on the y-axis. A line goes through points (5, 0.8), (10, 1.6), (15, 2.4), (20, 3.2) and (25, 4).
Gloria’s time was 0.5 minutes faster.
Richard’s time was 0.5 minutes faster.
Gloria’s time was 2.5 minutes faster.
Richard’s time was 2.5 minutes faster.

Answers

Answer 1

Answer: the answer is C. Gloria’s time was 0.5 minutes faster.

Step-by-step explanation: i just took the test


Related Questions

Find the sum 0.34 + 0.05

Answers

Answer:

0.39

Step-by-step explanation:

You are welcome...

Which mapping best represents the function f(x) = 2x2 + 5x + 3 when the domain is {–1, 0, 3}?

Answers

Answer:

Step-by-step explanation:

Given the function  f(x) = 2x^2 + 5x + 3 with the domain {-1, 0, 3}, to get the mapping that best represents the function, we will have to find the codomain of the function given by substituting the domain values into the function;

when x = -1

f(-1) = 2(-1)^2 + 5(-1)+ 3

f(-1) = 2 - 5+ 3

f(-1) = 0

when x = 0

f(0) = 2(0)^2 + 5(0)+ 3

f(0) = 0+0+ 3

f(0) = 3

when x = 3

f(3) = 2(3)^2 + 5(3)+ 3

f(3) = 18+15+ 3

f(3) = 36

Hence the mapping is {0,3,16}

Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'? Enter your answer in the box.

Answers

Answer:

7 is the Anwser

Step-by-step explanation:

Multiply Decimals Q2 Rachel purchases 13 gallons of gas at $2.89 per gallon. How much money does she spend? Round to the nearest cent if necessary. $37.57 $26.89 $38.12 $375.70​

Answers

Answer:

b

Step-by-step explanation:

hope this helps you get a good grade on the quiz ect

Shawna wants to purchase some shorts and a few pairs of socks. The shorts cost $10 and a pair of socks cost three dollars. Shawna can spend them no more than $45.

Let’s see represent the number of shorts purchased and Kay represent the number of pairs of socks purchased.

Which in quality represents the situation?

Answers

Answer:

The answer - C

Step-by-step explanation:

c- number of shorts

k - number of socks

10 shorts and 3 socks

10c+3k

no more than $45

no more than is a characteristic of less than or equal to.

10c+3k ≤  45

And obviously, that isn't an answer choice so you have to switch the sign so it looks like this:

45≥10c+3k

A teacher asks her students to fill out a survey about themselves. Which
piece of data would be considered categorical data?
A. Number of siblings
B. Age
C. Hair color
D. Height

Answers

The categorical data, in this case, refers to information that can be sorted into specific categories or groups. Among the options provided, hair color would be considered categorical data.Option c is correct

Hair color falls into distinct categories such as blonde, brown, black, red, or other variations. It is a qualitative characteristic that cannot be measured on a numerical scale.On the other hand, the other options can be classified as numerical data.

The number of siblings (option A) and age (option B) are both quantitative variables that can be represented numerically. They can be counted or measured using specific numerical values. Similarly, height (option D) is a quantitative measurement that can be expressed using numbers or units of length.

In summary, while number of siblings, age, and height are numerical data, hair color is an example of categorical data as it falls into distinct categories or groups.Option c is correct.

For more such questions on data

https://brainly.com/question/30459199

#SPJ11

Find the value of x. Then find the measure of each labeled angle.

Answers

Step-by-step explanation:

Question?

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

Answers

Answer:

x = 7/3

Step-by-step explanation:

4x - 2 = x + 3 + 2

4x - 2 = x + 5

Rearranging the terms, we get,

4x - x = 5 + 2

3x = 7

x = 7/3

Hence, x = 7/3.

A job posting is searching for runway models to walk in a designer fashion show. The posting states that the preferred model should be no more than 2 inches away from being 5 feet 11 inches. Write and solve an absolute value inequality that can be used to determine the height range, in inches, of a preferred model. Graph the solution set on a number line.

Answers

Answer:

70 ≤ x ≤ 74

Step-by-step explanation:

5 feet 11 inches = (5 x 12 inches) + 11 inches

                         = 72 inches

Since the preferred model should not be no more than 2 inches away from 72 inches, then;

72 inches ± 2 inches

Let the required height be represented by x, the absolute value inequality is;

lx ± 2l ≤ 72

x + 2 ≤ 72

x ≤ 72 - 2

x ≤ 70

Also,

x - 2 ≤ 72

x ≤ 72 + 2

x ≤ 74

Therefore, the preferred height range in inches is;

70 ≤ x ≤ 74

The graph is herewith attached to this answer.

A line has slope 3 and y-intercept 4.
Which answer is the equation of the line?
O y = 3x + 4
Oy= 3x -4.
O y= 3/4x-4
O y = 4x + 3

Answers

Answer:

  y = 3x +4

Step-by-step explanation:

In slope-intercept form, the equation of a line is ...

  y = mx + b

Where m is the slope (3) and b is the y-intercept (4).

Putting the given numbers in the equation, it becomes ...

  y = 3x +4

I need help, how do I do this?

Answers

The answer is 128 because 4·4·4+8·8=128

Four different paints are advertised as having the same drying time. To check the manufacturer's claims, five samples were tested for each of the paints. The time in minutes until the paint was dry enough for a second coat to be applied was recorded. The following data were obtained.
Excel or Minitab users: The data set is available in file namedPaint.
Paint 1 Paint 2 Paint 3 Paint 4
128 144 133 150
137 133 143 142
135 142 137 135
124 146 136 140
141 130 132 153
At the = .05 level of significance, test to see whether the mean drying time is the same for each type of paint. Compute the values identified below:
1. Sum of Squares,Treatment
2. Sum of Squares,Error
3. Mean Squares,Treatment
4. Mean Squares,Error

Answers

Answer:

(1) 330

(2) 692

(3) 110

(4) 43.25

Step-by-step explanation:

The data provided is for the dying time of four different types of paint.

One-way ANOVA can be used to determine whether all the four paints have the same drying time.

Use Excel to perform the one-way ANOVA.

Go to Data → Data Analysis → Anova: Single Factor

A dialog box will open.

Select the data.

Select "Grouping" as Columns.

Press OK.

The output is attached below.

The required values are as follows:

(1)

Sum of Squares of Treatment (Between Subjects):

SST = 330

(2)

Sum of Squares of Error (Within Subjects):

SSE = 692

(3)

Mean Squares Treatment (Between Subjects):

MST = 110

(4)

Mean Squares Error (Within Subjects):

MSE = 43.25

Which values will complete the table.
A
B
C

Answers

Answer:

A=8

b=15

c=40

Step-by-step explanation:

5/8 as well as 10/16 = .625

a=8 blocks for 5 min given in question

b:24*0.625=15

c:25*40=.625 or 8 * 5=40 , since 5×5=25 taking 1st column times 5

A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV within the state of Indiana. They conduct a survey of 64 randomly selected families of teen boys.They found that 12% of families had chosen to vaccinate. Which of the following is true?A. The 95% confidence interval is 12% ± the margin of error*standard deviationB. The confidence interval should not be calculated due to the small sample sizeC. A 99% confidence interval will be smaller than the 90% confidence intervalD. The central limit theorem applies to proportions only when the population standard deviation is known

Answers

Answer:

The correct option is  B

Step-by-step explanation:

From the question we are told that

   The  sample size is  [tex]n  =  64[/tex]

    The  proportion that choose to vaccinate the teen boys is  [tex]\r p =  0.12[/tex]

considering the first statement

The 95% confidence interval is 12% ± the margin of error*standard deviation is  false because

The 95% confidence interval is is  %12 ± the margin of error

considering the second statement

The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem

   np =  64 * 0.12 =  7.68

and this value is  less than 10  hence the confidence interval should not be calculated

considering the third statement

A 99% confidence interval will be smaller than the 90% confidence interval is false

  This is because as the confidence level increase (for example  from 90% to  99%) the margin of error increase which increases the confidence interval  

 

How many seconds equal 3 hours and 17 minutes?
11,820 seconds
1,020 seconds
3,060 seconds
197 seconds

Answers

the answer is 11,820

Answer:

option A 11820 ok thankyou ☺️

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Hello, I think you forgot to attach a picture

Step-by-step explanation:

When you're about ask a question there's a little thing that looks like a paper clip then you press that and attach your picture :)

HELPPP!!!! It’s due tmmr

Answers

Answer:

total of 482

Step-by-step explanation:

He sold 1940

20% on first 500  

500 *.20 = 100 commission

Then 25% on the next 1000

1940 -500 = 1440 left

He has 1000

1000 * 25%

1000*.25 = 250 commission

1440-1000 = 440 left

440 at 30%

440*.30 =132 commission

Add together

100+250+132 = 482

Which of the following is the equation of the line that passes through the points (−3,4) and (6, 7)?

A. y = 1/3x + 5

B. y = 3x – 11

C. y = -1/3x + 9

D. y = -3x + 25

Answers

a) y=1/3x +5 because brainly

The opposite of an integer is always negative.

Answers

Answer:

False

Step-by-step explanation:

To find the opposite of an integer, we just change its sign. If it is negative, change to positive. If it is positive change to negative. Opposite integers are the pairs of integers that have the same absolute value, or the same distance from zero. The sum of two opposites is always zero.

Hope this helps :)

a Math
What is the angle of C (ZC)?
who
65°
65°
Use the keypad to put your answer in the box



Answers

The answer is 50.
The line at the bottom is a 180°. So if you add the two angels you already know (65+65) it’s 130. subtract 180-130=50.

A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.

Answers

Answer:

Length = 74 feet,

Width = 65 feet

Step-by-step explanation:

If length = l, width = w;

l = 9 + w (Given)

2l + 2w = 278 (Definition of perimeter)

Substitute "9 + w" for l in the second equation;

2(9 + w) + 2w = 278 -> Distribute the "2"

18 + 2w + 2w = 278 -> Combine like terms

18 + 4w = 278 -> Subtract 18 on either side

4w = 260 -> Divide either side by 4

w = 260/4 = 65 feet

l = 9 + 64 = 74 feet

Mr ,Smith buying pens and pencils for his classroom.Pens (x) cost $5 per pack and pencils (y) cost $4 per pack-he needs to spend $40 or more to get free shipping

Answers

Answer:

breathe in

Step-by-step explanation:

Tyrell filled his 290
gallon pool with water
in 5 hours. How many
gallons per hour did
he use?

Answers

290 divided by 5 is 58. He filled 58 gallons per hour.
58 gallons an hour. your welcome

Ninety children signed up
for a field trip to a museum
On the field trip, the ratio of
adults to children must be 1:6.
So far, 11 adults are going on
the field trip. How many
More adults are needed?

Answers

4 more adults are needed

90 ÷ 6 = 15

15 - 11 = 4

anyone mind helping? i want to sleep Given: BA is congruent to BC prove angle 1 is congruent to angle 3.

Answers

Answer:

Given that BA = BC which shows that ΔABC is isosceles

And, ∠1 Represents BC

and, ∠2 Represents BA

And as BC and BA are equal, we come to know that ∠1 and ∠2 are equal

∠2 = ∠3 because they are opposite angles.

Therefore we can conclude that ∠1 and ∠3 are congruent because ∠1 =∠2 which ∠2 = ∠3 So, ∠1 = ∠3

If my answer helped, please mark me as the brainliest!!

Thank You!

Answer:

see below

Step-by-step explanation:

since ∠1 ≅ ∠2

opposite angles are equal

therefore, ∠2 ≅ ∠3

0.00000512 in scientific notation

Answers

Answer:

5.12 x 10 -6

Step-by-step explanation: I’m pretty sure

Hey, did you hear what Joe did?

Answers

Answer:

joe?

Step-by-step explanation:

Is 7 8/11 a terminate or a repeat

Answers

8/11 is non-terminating decimal
it is non-terminating

Here is a list of numbers:
-8, -4, -13, 19, -5, 10, -15 ,20 ,12 ,16
State the median.

Answers

Answer:

-4 and 10

Step-by-step explanation:

USE THE INFO BELOW TO SOLVE

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

need more help?

pics are below for more examples.

:)

What's 11/14 plus 2/7

Answers

Answer:

15/14 or 1 1/14

Step-by-step explanation:

11/14+2/7=

11/14+4/14=

15/14=

1 1/14

Answer:

Step-by-step explanation:

11/4 + 2/7 =  77/28 + 8/28 =  85/28

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