Mathematics High School

1. Antonio sets his remote-controlled car at the start of the racetrack and starts its run on the track. His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line. How long is the racetrack? (a) Let x = the length of the racetrack. Write an equation that fits the story (b) Solve the equation from Part a. (How long is the racetrack?) Show your work. (c) How much farther did Antonio’s car have to go to the finish line? Show your work. Answer:

Answers

Answer 1

a) The equation that fits the story is given as follows:

2x/5 = 28.

b) The length of the racetrack is given as follows: 70 meters.

c) Antonio had to go 42 meters farther to reach the finish line.

How to obtain the length of the race track?

The length of the race track is obtained applying the proportions in the context of this problem.

His car stops 10m past the starting line. After he fixes a wheel, the car goes 2/5 the racetrack’s total distance and then stops for good. It is 38m from the starting line, hence the distance driven during this entire period is of:

38 - 10 - 28 m.

28 m is 2/5 of the track length, which is going to be called x, hence the equation is given as follows:

2x/5 = 28.

The track length is then obtained as follows:

2x = 5 x 28

x = 5 x 14

x = 70 meters.

Thus the remaining distance is of:

70 - 28 = 42 meters.

More can be learned about proportions at https://brainly.com/question/24372153

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Related Questions

(5 + 3) ÷ 2 + (52 - 3) Simplify:

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Answer:

Step-by-step explanation:

To add fractions find the LCD and then combine

i got 53 as my answer.

Solve the pair of linear equations....

Please help me by solving this!

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In point form (2,1) equation form x = 2 y = 1

What must you subtract from the expression –5x – 8 in order to make it equivalent to –9x – 1 for all values of x?

Answers

Answer:

the number is 4x - 7

Step-by-step explanation:

Let P be subtracted from -5x - 8 to make it equivalent to -9x - 1.

-5x - 8 - P = -9x - 1

make "-P" the subject of the formula

-P = -9x - 1 + 5x + 8

Collect like terms;

-P = -9x + 5x - 1 + 8

-P = -4x + 7

divide through by "-1"

P = 4x - 7

Therefore, the number that must be subtracted from -5x - 8 to make it equivalent to -9x - 1 is 4x - 7

A triangle has side lengths of 11 cm and 7cm. Which could be the value of the third side, 19cm or 17 cm

Answers

Answer:

use the Pythagoras theorem..you will got the solution

Answer:

The answer is 17

Step-by-step explanation:

PLEASE HELP ME ASAP.

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Answer:

use pathway but with an M instead of P

Step-by-step explanation:

Pleas help if possible :)

Answers

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

ANSWER M= (0, 5)
To get the midpoint you will need to use the formulas: x1 +x2 divided by 2, and y1 + y2 divided by 2.
X=0 (or undefined) Y=5
ANSWER AB: 6
Square root: (3 - (3))^2 + (5 - 5)^2 to get 6
I’m sorry if that sounds a little complicated

Pete is choosing his clothes for the day. His bottoms will be either cargo shorts(C) or jeans (J). His top will be T shirt (T), sweatshirt (S), or long sleeved shirt (L)

Answers

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The Fundamental Counting Principle is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

BRAINLIEST GOES TO THE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

11.99

Step-by-step explanation:

Graph the line through the points (-6,4) and (0,-4)

Answers

Slope -4/3
Y intercept -4
Equation y=-4/3x-4

Solve -3.5=x-4 for x using the multiplication propertiy of equality

Answers

Answer:

Hello! :) have a good day!

X= 0.5

Answer:

x = 0.5

Step-by-step explanation:

Simplify this algebraic expression.

9k + 7 - K + 4 =

Answers

Answer:

8k+11

Step-by-step explanation:

Combine like terms

9k-k

7+4

9k-k=8k

7+4=11

8k+11

I really need help
-21a+35

Answers

Answer:

-7 (3a - 5)

Step-by-step explanation:

Answer:

[tex] - 7(3a - 5)[/tex]

Step-by-step explanation:

you just have to factor out the common term 7.

25 POINTS!!!!! HELP NEEDED

(05.01 MC)
The graph shows the prices of different numbers of bushels of corn at a store in the
current year. The table shows the prices of different numbers of bushels of corn at
the same store in the previous year.
Current Year
98
70
Price of
Com
56
(dollars) 42
28
14
0 2 4 6 8 10 12 14
Number of Bushels
Previous Year
Number of Bushels Price of Corn (dollars)
2
10
4.
20
6
30
8
40

Answers

PART A:

To find the rate of change, put change in y over change in x. In order to first find the changes, you must subtract two y values from each other and two x values from each other, like this:

Change in y = 20-10

Change in x = 4-2

Then you can put these over each other:

20-10/4-2

Then simplify

20-10/4-2 = 10/2 = 5/1 = 5

So, this means the rate of change is 5. $5 per bushel.

If you also need part B it would be helpful to see the other chart because it's hard to understand in the writing you included. :) Comment and let me know if you post it so I can help you out!

Part A: 7 dollars

- The graph shows that 2 bushels is 14 dollars, because the graph has a straight line, the rate remains constant you must divide the sides by two to find the amount for one bushel which would be 7 dollars.

- And to double check you would divide 28 by 4, 42 by 6, 56 by 8, 70 by 10, 84 by 11, and 98 by 12. they all equals 7 dollars So, the equation would be y = 7x.

- 7 can be known as the slope and rate of change.

Part B:2 dollars

- The years before show 2 bushes was 10 dollars

-so you would divide 10 by two you would get five To double check you would do the same thing with 20 by 4, 30 by 6 and 40 by 8, and they all equal 5 dollars.

-if you use this answer be sure to reword it so you dont get copy write and integrity. have a great day or night.

5 circles lie on the same plane.What is the maximum number of intersection points the circles can have?

Answers

the answer is 10 pts bc the maximum number of points of intersection when 5 lines are drawn in a plane, as shown, is 10 points.

Answer:20

Step-by-step explanation: The rule you use for the problems is the same you use for finding the sum of patterned numbers: n*(n+1). n is equivalent to the number of circles. Thus, 5 *(5-1)= 5*4=20

Hope it helps!

HELP IT WOULD MEAN A LOT IT'S DUE TODAY IN 7 MINUTES

Answers

Answer:

Step-by-step explanation:

39 + 32 = 71

hope this helps have a good day!!

PLEASE MARK BRAINLIEST!! :)

Someone please help me!! I will mark as brainliest

Answers

Answer:

if it's not on a test, just guess

Step-by-step explanation:

Oliver bought 5 glow bracelets for each of his party guests and 2 glow bracelets to keep for himself. He bought a total of 37 glow bracelets. How many guests did Oliver invite to his party?

Answers

7 cuz 2-37 is 35 and divide that by 5 , the 2 is the ones he kept for himself

Help am i correct please Ehejahrs

Answers

I think sooooooo if not I’m very sorry

8th grade math. Solve and check. 2x + 3x + 5 = 4(x - 2)

Answers

2x + 3x + 5 = 4(x-2)

5x + 5 = 4x - 8

5x-4x = -8 -5

x = -13

Answer:

x=−13

Step-by-step explanation:

Combine the like terms:

2+3+5=4(−2)5+5=4(−2)

Distribute:

5+5=4(−2)

5+5=4−8

Subtract 5 from both sides

5+5=4-85+5−5=4−8−5

Then simplify:

x=−13

Answer:

x=−13

to complete the equation and
Use the graph to determine which values can be used
x^2/a^2 - y^2/b^2= 1.
a:
b:

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Answer:

/9AZ+ 1AL+4UE, 1, 5Z0 971 349 BG, -, 5Z0 971 349 BG -. (1). PR-9AA/9AZ+ 1AC+4UA. PR-9AA/9AZ+ 1AC+4UA, 1, 5Z0 971 349 AR, -, 5Z0 971 349 AR

Step-by-step explanation:

Answer:

A:5

B:12

Step-by-step explanation:

Help!!!! What are the unknown angles?

Answers

Answer:

1: 52 for x

2. 96 for x

3. 58 for x

4. 71 for both of the 2 angles, 71 each

Step-by-step explanation:

all triangles add up to 180*, easy to reverse the math

uwu

Ethan is designing a new board game, and is trying to figure out all the possible
outcomes. How many different possible outcomes are there if he spins a spinner with
three equal-sized sections labeled Walk, Run, Stop and rolls a fair die in the shape of
a cube that has six sides labeled 1 to 6?

Answers

Answer:

Step-by-step explanation:

3x6

Apply the distributive property to the expression 9(6m-4n). DO NOT SYMPLIFY.

Answers

Answer:

54m-36n

Step-by-step explanation:

9·6m= 54m

9·(-4n)= -36n

54m-36n

84,000 of food for 80 soldiers for 60 days How long would the food last 20 more soldiers joined

Answers

Answer:

If 20 more soldiers join it would last 48 days

Step-by-step explanation:

if 80 soldiers need 84000 food for 60 days it means that in 60 days one soldier eats 84000/80= 1050 each

then 1050/60=17.5 meaning they need 17.5 food a day each,

adding 20 soldiers means 80+20= 100 soldiers

100*17.5=1750 food is eaten every day

84000/1750= 48 which means that 100 soldiers will eat 84000 in 48 days

Please Help!

if these two shapes are similar, what is the measure of missing length q?

Answers

60 / 96 = 25 / q
5 / 8 = 25 / q
5*q = 8 * 25
5q = 200
q = 40

Check:
60 / 96 = 25 / 40
5/8 = 5/8 :)

Answer:

Step-by-step explanation:

96 ÷ 60 = 1.6

25 × 1.6 = 40

Disclaimer: Yay, okay. The person above me got the same answer so this is right.

What is the base of the expression 11/12

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15

Answers

answer is A which is 1

Simplify the following
(1 1/2) ^-2

Answers

Answer:

1/2.25 or 4/9

Step-by-step explanation:

Beniceo Skis 748yd in 3 mins. At this rate, How many miles does beniceo ski in an hour? (1 mi= 1,760 yd). mi=miles yd= yards

Answers

Answer:

8.5 miles

Step-by-step explanation:

3x20=60, 60 minutes also being an hour so if you multiply 748 by 20 then it gives you 14,960 annndd now you have to divide by the amount of yards in a mile 14,960/1,760=8.5

Shown is a square garden with a triangular pond.
Find the area of the garden that is grass

Answers

Area of the square:
6x6 = 36m^2
Area of the triangle
3x4/2=6m^2
Area of grass
36-6=30m^2

The area of the garden that is grass is 30 square meters.

The square garden has a side length of 6 meters.

The triangular pond has a base of 4 meters and a height of 3 meters.

The area of the garden that is grass.

The area of the square garden is 6 x 6 = 36 square meters.

The area of the triangular pond is (1/2) x 4 x 3 = 6 square meters.

Therefore, the area of the garden that is grass is 36 - 6 = 30 square meters.

The area of the garden that is grass is 30 square meters.

Here are the steps in detail:

Calculate the area of the square garden: 6 m * 6 m = 36 square meters

Calculate the area of the triangular pond: (1/2) * 4 m * 3 m = 6 square meters

Subtract the area of the pond from the area of the square to find the area of the grass: 36 square meters - 6 square meters = 30 square meters

To learn more about area here:

https://brainly.com/question/1631786

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