Three siblings are participating in a family-friendly running event. - The oldest sibling begins at the start line of the race and runs 7 miles per hour the entire time. - The middle sibling begins at the start line and walks at 3.5 miles per hour throughout the race. - The youngest sibling joins the race 4 miles from the start line and runs 5 miles per hour the rest of the way.

Answers

Answer 1

The siblings walking or running at a constant rate, illustrates a linear function.

The graph of the oldest sibling is Graph B The graph of the middle sibling is Graph CThe graph of the youngest sibling is Graph A

The complete question requires that, we match each graph to the sibling (see attachment)

Oldest sibling

[tex]Starts = 0[/tex] --- start line

[tex]Rate =7[/tex]

So, the equation is:

[tex]y = Starts + Rate \times x[/tex]

[tex]y = 0 + 7 \times x[/tex]

[tex]y = 7x[/tex]

When [tex]x = 1[/tex]

[tex]y = 7 \times 1 = 7[/tex]

This means that;

The graph of the oldest sibling passes through [tex](1,7)[/tex]

The graph of the oldest sibling is Graph B

Middle sibling

[tex]Starts = 0[/tex] --- start line

[tex]Rate = 3.5[/tex]

So, the equation is:

[tex]y = Starts + Rate \times x[/tex]

[tex]y = 0 + 3.5 \times x[/tex]

[tex]y =3.5x[/tex]

When [tex]x = 1[/tex]

[tex]y =3.5 \times 1[/tex]

This means that;

The graph of the middle sibling passes through [tex](1,3.5)[/tex]

The graph of the middle sibling is Graph C

So, we can conclude that:

The graph of the youngest sibling is Graph A

Read more about graphs at:

https://brainly.com/question/18806107

Three Siblings Are Participating In A Family-friendly Running Event. - The Oldest Sibling Begins At The

Related Questions

Ramon buys 3.5 pounds of strawberries for $8.75. At this rate, how many pounds of strawberries can Allison buy with $20.00?

Answers

Answer:

8 pounds

Step-by-step explanation:

8.75 / 3.5 = 2.5

20/2.5 = 8

Answer: 8 pounds of strawberries

Step-by-step explanation:

$8.75 - 3.5 pound

? - 1 pound

1 pound - 8.75 ÷ 3.5 = 2.5

$2.50 = 1 pound

$20.00 = ?

$20 = 20 ÷ 2.5 = 8

$20.00 = 8

Allison can buy 8 pounds of strawberries with $20.00

Hope that helped!

A lighthouse is located on an island 200 feet from the shore of the mainland as
shown. If x=0.29 rad, what is d?

Answers

Answer: Approximately d = 208.72

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

Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

HELP MEEEE PLEASEEEEE I HAVE AN F !!

Answers

Answer:

Step-by-step explanation: So theres 10 marbles total in the bag. 5 is one half of 10 so the probability to get a blue marble is 5/10 or 1/2 and the probablility of getting an orange one is 1/10 so you have to first get lucky and get that 5/10 chance, and then get even more lucky and get the 1/10 chance and so I believe that it would be 1/20

A manufacturer tests a certain number of headsets that are produced each day. There is a 2% chance of finding a defective headset. If 280 units of that model are tested,the manufacturer would expect to find approximately how many head sets without any defects

Answers

Answer:

Correct headsets= 274.4 = 274

Step-by-step explanation:

Giving the following information:

Number of units= 280

There is a 2% chance of finding a defective headset.

To calculate the number of headsets without any defect, we need to use the following formula:

Correct headsets= 280*0.98

Correct headsets= 274.4 = 274

HELP ME MY DAD WILL KILL ME OF I GET A MAD GRADE HELP ME

Anita needs to buy 7 1/2 feet of packaging tape. There are 1 1/2 feet of tape on each roll. How
many rolls of tape should Anita buy?

please!!<3

Answers

Answer:

Divide both to get the specific number of rolls which is 5

Anita needs five rolls.

What’s the process for finding c in this equation?

Answers

Answer:

x = 7

Step-by-step explanation:

Given that ∆BCD ~ ∆BFG, therefore the ratio of their corresponding side lengths will be equal.

Thus:

[tex] \frac{BC}{BF} = \frac{BD}{BG} [/tex]

Substitute

[tex] \frac{17x + 13}{36} = \frac{154}{42} [/tex]

Cross multiply

[tex] 42(17x + 13) = 154(36) [/tex]

[tex] 714x + 546 = 5,544 [/tex]

[tex] 714x = 5,544 - 546 [/tex] (subtraction property of equality)

[tex] 714x = 4,998 [/tex]

Divide both sides by 714

x = 7

dylan bought 3 identical shirts online and paid a shipping fee of $8.50 for a total cost of $53.50

Answers

Answer:give them a 100$ bill and ask for change

Step-by-step explanation:

What is 2.97239915 rounded to the nearest ten?

Answers

Answer:

3.0000

Step-by-step explanation:

Answer:

i'm assuming you mean tenth so 3

Step-by-step explanation:

you start by looking at just 2.97, the seven will round the 9 up to a ten so you will add one to the 2 and end up with 3 as your answer

-4r + 18=-2
whats r ?

Answers

Answer:

r=5

Step-by-step explanation:

Can i get brainlest

Answer:

r=5

Step-by-step explanation:

1)

-4r+18=-2 Subtract 18 from both sides

-18 -18

2)

-4r=-20

---- ---- Divide both sides by -4

-4r -4r

3)

r=5 -20/-4 ----------> 5

g+5>12 solution please i don’t know how to do this

Answers

Answer:  g > 7

Graph has an open circle at 7 on the number line, shading to the right

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

Explanation:

Think of it like saying "I have a number, and I add on 5. The result is something larger than 12". You can guess and check your way to the answer, but the quickest way is to subtract 5 from both sides.

We subtract to undo the addition happening to the 'g'.

g+5 > 12

g+5-5 > 12-5

g > 7

So the number is larger than 7. For instance, if g = 8, then,

g+5 > 12

8+5 > 12

13 > 12

This is a true statement.

-------------------------

If you need to graph the solution, then you'll have an open circle at 7 on the number line. The open circle says to the reader "don't include this value as part of the solution set". Shade to the right of the open circle to describe all values larger than 7.

In summary, the graph has an open circle at 7 and shading to the right.

Cat behavior: A report stated that the average number of times a cat returns to it's good bowl during the day is 37. Assuming the variable is normally distributed with a standard deviation of 3, what is the probability that a cat would return to it's dish between 34 and 39 times a day. Use the graphing calculator. Round the answer to four decimal places.
P (34<X<39) =?​

Answers

Answer:

P (34<X<39) = 0.5899

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 37, \sigma = 3[/tex]

What is the probability that a cat would return to it's dish between 34 and 39 times a day.

This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So

X = 39

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39 - 37}{3}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a pvalue of 0.7486

X = 34

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{34 - 37}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.7486 - 0.1587 = 0.5899

So

P (34<X<39) = 0.5899

help me please!
I need help​

Answers

Answer:

-7

Step-by-step explanation:

-1 x -1 = 1

4 x -2 = -8

1 + (-8) = -7

10x5 eqaul 9x12 equal

Answers

Answer:

10X5 = 50    9X12 = 108

Step-by-step explanation:

158
The answer is 158





Didisjdjd

I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!

Answers

Now that I’ve answered the person above can get brainliest. :)

Is this not right please do not fake it

Answers

Answer:

I think it's right. It's been a while so I'm not 100% sure but I'm pretty sure.

Step-by-step explanation:

Which of the following triangles is similar to PQR

Answers

Answer:

D

Step-by-step explanation:

The ratio's of the sides of "D" match.

15/18=17.5/21

* 1 6 8 9 A camera has a listed price of $803.95 before tax. If the sales tax rate is 8.25%, find the total cost of the camera with sales tax included, Round your answer to the nearest cent, as necessary $870.27​

Answers

Answer:

$872.29

Step-by-step explanation:

to do a 8.25 percent sales tax you do $803.95*1.085 and you get the above number

In the complex number 4 + 2i, 4 is the

Answers

Answer:

4 is the real number in that complex number

3838383837373838382828283837373838382929293837474737373838382882828282822828822828282828823828282999 + 19192393839383929393939339393939 = (bonus points awarded if correct)

Answers

3.8383838e+99    THATS EZ MAN!

manny has an investment account which compounds interest continuously at a rate of 3.1%. He puts $7500 into the account initially. after 2 years how much money does he have in the account?

Answers

Answer:

$7049 is the answer.

Step-by-step explanation:

Answer: $7980

Step-by-step explanation:

Follow the formula A=Pe^rt

A= 7500(e)^(.031)(2)

A= 7980

$1200 is divided among four brothers so that each gets $100 more than
the brother who is his next younger brother. How much does the youngest
brother get?
O $150
$200
O $250
O $300

Answers

the answer is

A - 150

What is the area of the shaded region? Use 3.14 for and round your answer to the nearest
tenth.
50.2 cm2
12.6 cm2
6 cm
78.5 cm
10 cm
201.0 cm2

Answers

the answer is 50.2 cm^2 (the first one)

Estimate each product 5.8 x 4 =

Answers

ANSWER:

_________

23.2

If estimated to the nearest TENTH then is 23!

FUN FACT:

__________

Some fungi create zombies, then control their minds

I hope this help! And have a • AMAZING• day :3

Apples are on sale at four different grocery stores. Which store offers the

lowest unit rate for apples, in dollars per pound?

$4.50

.McCoyS Dounds

$

• Greenland :

pound

$3.00

2 pounds

Eat Smart

• Mother Nature: S0.95/pound

OA. McCoy's

OB. Eat Smart

OC. Mother Nature

OD. Greenland

Answers

Full question attached

Answer:

Greenland offers the lowest unit rate, dollars per pound

Step-by-step explanation:

For McCoy, $4.5 = 5 pounds

Therefore $1 = 5pounds/4.5= 1.11 pounds

1 pound= 1/1.11= $0.9009

For Eat smart

$3=2 pounds

Therefore $1=2pounds/3 = 0.667 pounds

1 pound = 1/0.667= $1.499

For Greenland

$1/5= 1/4 pounds

$0.2=0.25 pounds

$1= 1.25 pounds

Therefore 1 pound= 1/1.25= $0.8

For Mother Nature

$0.95= 1 pound

Therefore Greenland offers the lowest unit rate at $0.8 per pound

Write the equation below in standard form.

[tex] \frac{8}{3}y = \frac{5}{6}x - 2 [/tex]

Answers

In standard form the answer is

the first 500naira of a man's income is tax free. if he pays tax on the rest at the rate of 10kobo on every naira,how much tax will he pay if he earns 2400naira as income?​

Answers

Answer:

Tax on 2400 naira = 190 kobo

Step-by-step explanation:

Given that:

The first 500 naira is tax free.

Amount earned = 2400 naira

Amount to be taxed = 2400 - 500 = 1900 naira

Payable tax = 10 kobo on every naira

1 naira = 10 kobo

1900 naira = [tex]\frac{1900*10}{100}[/tex]

1900 naira = 190 kobo

Hence,

Tax on 2400 naira = 190 kobo

SOLVE FOR Y, WILL GIVE BRAINLIEST

Answers

Step-by-step explanation: Notice that the angle diagonal

of the 114° is a vertical angle and vertical <'s are ≅.

Now, notice that we have two parallel lines cut by a transversal.

If two parallel lines are cut by a transversal, then

consecutive interior angles are supplementary.

So we can setup the equation 114 + y + 12 = 180.

Simplifying on the left gives us 126 + y = 180.

Now subtract 126 from both sides to get y = 54.

Tracy takes 3 pages of notes during each hour of class. In all, how many hours will
Tracy have to spend in class before she will have a total of 39 pages of notes in her
notebook?

Answers

33 hours in class .......

Answer:

13

Step-by-step explanation:

39 pages of notes, and Tracy has 3 pages of notes during each hour. So what we can do is simple division, 39/3 which will give you 13. In conclusion, Tracy takes 39 notes in 13 hours.

I75,986
1a. Write the number.
seventy-five thousand ni
1b. Write in word form.
1c. Write in expanded form.
1d. Write the value of the first underlined number.
1e. Write the value of the second underlined number
1f. x10
1g. x10
1h. x10

Answers

Step-by-step explanation:

1a. 75,986

1b. Seventy five thousand nine hundred eighty six.

1c. 75,986=this one

[tex]7 \times10000 + 5 \times 1000 + 9 \times 100 + 8 \times 10 + 6 \times 1[/tex]

1d. 70,000

1e 80

I did not understand the rest. Hope it's useful.....

Answer:

heres that plot you needed for that one glasses of water thing

Absolute value to distance help asap

Answers

Answer:

Its c, none of the above.

Step-by-step explanation:

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