USE A MODEL Olivia and her brother William had a bicycle race. Olivia rode at a speed
of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave
William a 150-foot head start and the race ended in a tie.
How far away was the finish line from where Olivia started

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The distance from where Olivia started to the finish line is 600 foot

How determine how far away was the finish line from where Olivia started?

A model function is a way of describing a real-life system or situation using mathematical concepts and language

If Olivia rode at a speed of 20 feet per second, while William rode at a speed of 15 feet per second. Olivia gave William a 150-foot head start.

We can write write a linear model function for both Olivia and William as follows:

Olivia: y = 20x

William: y = 15x + 150

where y is the distance and x is the time taken to reach finish line

Since the race ended in a tie (i.e. draw), we can equate the two functions:

20x = 15x + 150

20x -15x = 150

5x = 150

x = 150/5

x = 30 seconds

Thus, the distance from the finish line to where Olivia started can be determined by substituting x = 30 into y = 20x. That is:

y = 20(30) = 600 foot

Learn more about model function on:

brainly.com/question/1415456

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Related Questions

What is the coefficient of the first term in this expression?
4r+q3r2+8q2r

Answers

Answer:

4

Step-by-step explanation:

Which is the quotient of 43.5÷3 ?

Which is the quotient of 24.6÷5 ?

Answers

1) Quotient of 43.5÷3 :-

→ 14.5

2) Quotient of 24.6÷5 :-

→ 4.92

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Answered by Benjemin ✍️

For the function: f(x) = 3x^2 +5x – 8, find and simplify

A. f(x) - f(a) divided by x-a

b.f(x +h) - f(x) all divided by h

Answers

Answer:

[tex]f(x) = 3 {x}^{2} + 5x - 8[/tex]

[tex]f(x + h) = 3 ({x + h})^{2} + 5(x + h) \\ = {3x}^{2} + {3h}^{2} + 6xh + 5x + 5h - 8 \\ [/tex]

answer will be 6x+5

HELPPPP THSI IS THE ONEEE HELP HELP

Answers

Answer:

the answer is 9 b 3 1 5 ghhj

Answer:

Step-by-step explanation:

Volume of a cube =side³

                        [tex]=(\dfrac{1}{5}b^{3})^{3}\\\\\\=(\dfrac{1}{5})^{3}*b^{3*3}\\\\ = \dfrac{1}{125}b^{9}[/tex]

                         

blank% of 50 shirts is 35 shirts

Answers

Answer: 70%

Step-by-step explanation:

A percentage is a way of writing a fraction, but with a denominator of  

100

Asking the question a different way makes it easier to understand.

What percent is  

35

shirts out of  

50

?

This indicates that there is a fraction.

35

50

Make the denominator  

100

35

50

×

2

2

=

70

100

=

70

%

Or to make a percent:

fraction

×

100

%

35

50

×

100

2

%

=

35

×

2

=

70

%

20. A magnifying glass shows the image of an object that is 6 times the object's actual size. Determine the
actual length of the object if the image is 120 mm.

Answers

Answer:

20 mm

Step-by-step explanation:

Divide 120 by 6

Find the value of y.

Answers

Answer:

y = 78

Step-by-step explanation:

x - 5 = 72

x = 77

77 - 5 = y -6

I hope this helps!!

please help and don't use links:)​

Answers

transitive property

because since we AB is congruent to BC and BC is congruent to XY then AB would be congruent to XY

hope this help<33

Hep help help help hell

Answers

Answer:

[tex] \frac{2x + 4}{2} < 6 \\ 2x + 4 < 2 \times 6 \\ 2x + 4 < 12 \\ 2x < 12 - 4 \\ 2x < 8 \\ x < \frac{8}{2} \\ \color{blue} \boxed{x < 4}[/tex]

Savannah has 6 times as many tangerines as Milly. Milly has 3 tangerines.
Which equation shows how many tangerines Savannah has?
A. 6 – 3 = 3
B. 6 ÷ 3 = 2
C. 6 + 3 = 9
D. 6 × 3 = 18

Answers

Answer:

D. 6 x 3 = 18

Step-by-step explanation:

Your multiplying which would make this equation the correct equation.

Hope this helps! Have a great day ahead :) Stay Safe <3

Answer:

the answer is d i took the quiz :)

Step-by-step explanation:

what is the simplest from of the ratio 40:16 ?

Answers

Answer:

5 : 2

Step-by-step explanation:

40:16

Divide each side by 8

40/8:16/8

5 : 2

Answer:

5 :2

Step-by-step explanation:

40 : 16

= 40/16

= 4*10 / 4*4

= 10/4

= 5*2 / 2*2

=5/2

18. You and your friend are selling your old CDs. Your friend sells 14 the first
day and x the next day. You sell y the first day and 6 the next day. Write an
expression that shows that the total number of CDs sold both ddays. Rewrite
your answer using the Commutative Property of Addition

Answers

9514 1404 393

Answer:

  = x + y + 20

Step-by-step explanation:

There are a couple of ways you could write this.

  friend sales + your sales

  = (14 +x) +(y +6)

  = (x +14) +(6 +y) . . . . commutative property used twice

  = x +14 +6 +y = x +20 +y

  = x + y + 20 . . . . . . . commutative property used again

__

  first-day sales + second-day sales

  = (14 +y) + (x +6)

  = (y +14) +(6 +x) . . . . commutative property used twice

  = y +14 +6 +x = y +20 +x

  = y +x +20 . . . . . . . . commutative property used again

  = x + y + 20 . . . . . . . and again

_____

Additional comment

We also used the associative property (to move parentheses) and the properties of addition of integers to simplify the sum. We have chosen to put the variables in lexicographical order, a sort of standard.

There are 25,883 LPN in indiana. Assume that indians population is approximately 6.6 mollion. Which of yhe following statement best represents the ratii of LPN's to residents in indiana?

Answers

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

[Intergers]
During football game the ball advanced 4yd, retreated 10 yd, and then advanced 2yd. Where did the ball finish in relation to it’s starting point?

Please explain step by step to get marked!

Answers

It moved forward 4 yards, then back 10 yards:

4-10 = -6

It is now -6 yards from where it started.

It then moved 2 yards forward from there:

4-6 + 2 = -4

The ball finished -4 yards from the original location.

In the old west, the pony express could deliver 150
pieces of mail by horseback in 3 days. At this rate, how
many pieces of mail could they deliver in 5 days?

Answers

Answer:

750 peices of mail

Step-by-step explanation:

150 times 5 is 750

no link or bot yeah that it

Answers

Answer:

20 hundredths

Step-by-step explanation:

Because 2 x 10= 20

A Tenth of a number is the value that we get when we divide the number by 10. Similarly, Hundredth is the value we get when it is divided by 100.

Answer:

20

Step-by-step explanation:

2/10 = x/100 -> both sides times 100

20 = x

60 points! No links or cheaters! I need a serious answer! Someone please help me I need to bump up my grade!

Answers

Answer:

this is easy, just move them to each other so that they can fit together and make sure they are both either a positive slope or a negative slope. then do the slope formula

Step-by-step explanation:

i need help figuring out the answer 72 + (7x+24)=180 for Parallel Lines and Transversal

Answers

Answer:

x=12

Step-by-step explanation:

determine an expression to represent both the perimeter and area of the following 2D shape

Answers

Answer: i think its y=2x+22

Step-by-step explanation:

please solve thank you​

Answers

Answer: probably A

Step-by-step explanation:

Is 1 greater in 31788 or 188743

Answers

Answer: 188743

Step-by-step explanation:

It's in the "hundred thousand" place.

Answer: 188743

Step-by-step explanation:

Using our knowledge of digit placements, we determine that the 1 in the 31788 is in the thousands digit and the 1 in 188743 is in the hundred-thousands digit.

Therefore, using our knowledge of digit placements, we determine the answer is 188743.

Hope this helps,

BB76

Find m<1 and m<2
Just solve :)

Answers

Answer:

m∠1=131       m∠2=49

Step-by-step explanation:

Like and give 5 star rating

Please brainlest

Answer:

m<2 is 49 and m<1 is 131

Step-by-step explanation:

180-131 equals 49, so m<2 is 49

m< is 49, so 180-49 which is 131, so m<1 is 131

Write an equation for the graph shown in the form of y =

Answers

Y= 1/5x+1

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In a horse​ race, how many different finishes among the first 3 places are possible if 7 horses are​ running? (Exclude​ ties)

There are a possible___different finishes.

Answers

Answer:

7 x 6 x 5 = 210

Step-by-step explanation:

its a combination's problem.

7 horses are eligible for first place.

6 of those are eligible for 2nd given that one of the 7 finished first.

similarly 5 of the remaining are eligible for 3rd place given 2 horses have taken the first 2 spots.

therefore 7 x 6 x 5 possible combinations = 210 combinations.

Can someone please help, I will give brainiest. If possible explain please.

Answers

Step-by-step explanation:

The angles (8x + 28) and (4x - 7) are supplementary to each other so we can write

[tex](8x + 28) + (4x - 7) = 180 \Rightarrow 12x + 21 = 180[/tex]

or

[tex]x = 13.25[/tex]

Also, note that the angle (4x - 7) and [tex]\angle{TQS}[/tex] are vertical angles, which means that they are equal to each other. Therefore,

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Solve for x
-(-2 - 5x) +(-2) = 18


X= -90

X= -18/5

X= 18/5

X= 90

Answers

Answer:

18/5

Step-by-step explanation:

Can please help me simplify this please


3/8

6/15

Answers

3/8 -> 3/8 (it is fully simplified)

6/15 -> 2/5 (dividing the top and the bottom by 3)

Have a nice day!

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

- Heather

can someone tell me the answer simplified

Answers

Answer

7xy+2xt

Step-by-step explanation:

This will help you. This is the answer that is simplified

help plz will give brianlyest ​

Answers

Answer:

ez kiddo

Step-by-step explanation: so it is 43.8 because i had a quiz just like that and i got the answer wrong but i remember the answer

Find the total future amount for $500 invested at 3.99% for 8 years compounded
monthly
State your answer in terms of dollars rounded to the nearest cent (hundredth).

Answers

Answer:

999.9

Step-by-step explanation:

hjvjg

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