The hare challenged the tortoise to a rematch race. This time, the hare ran the same speed of 15 meters per second the whole race. The hare didn't even take nap this time. To be nice, the hare gave the tortoise a head start. The tortoise started 200 meters ahead. The tortoise ran 7 meters per second. Create a system of equations to model this situation.​

Answers

Answer 1

Answer:

[tex]\left \{ {{h=15s} \atop {t=7s+200}} \right.[/tex]

Step-by-step explanation:

Let [tex]h[/tex] be equal to the number of meters the hare travels.

Let [tex]t[/tex] be equal to the number of meters the tortoise travels.

Let [tex]s[/tex] be equal to the number of seconds that pass.

The hare travels at a speed of 15 meters per second, which means [tex]15s[/tex] represents the number of meters the hare travels depending on the number of seconds that pass.

[tex]h=15s[/tex]

The tortoise travels at a speed of 7 meters per second, which means [tex]7s[/tex] represents the number of meters the tortoise travels depending on the number of seconds that pass.

[tex]t=7s[/tex]

However, because the tortoise got a 200-meter head start, we need to add 200 meters to our equation.

[tex]t=7s+200[/tex]

Here is our system of equations:

[tex]\left \{ {{h=15s} \atop {t=7s+200}} \right.[/tex]

I hope this helps!


Related Questions

fgh is a right triangle

Answers

Answer: FALSE

Step-by-step explanation:

A P E X

Answer:

true

Step-by-step explanation:

2(x -1) + 1/2 (4x + 6)=5

Answers

X: -4. Y: -3

Step-by-step explanation:

Tabby read 254 pages in 8 days. What is her unit rate in pages per day?

Answers

Answer:

31.75 round it off to 32 pages per day

Step-by-step explanation:

254/8=31.75 but you cant but a decimal so its 32

statistical models predict that the price (in dollars) of a 500 gb hard drive will change according to the function p(t)

Answers

The required expression that gives the number of months t in terms of the price p is, t(p) =√1/2 (600-p).

The given function is p(t) = 600 − 2t².

We need to find the expression that gives the number of months t (passed since January 1) in terms of the price p.

What is the function?

Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.

Here, the expression that gives p in terms of t is, p(t) = 600 − 2t²----(1)

Where p represents the price and t represents the number of months t (passed since January 1).

From equation (1),

p= 600 − 2t²

⇒2t²=600-p

⇒t²=1/2 (600-p)

⇒t=±√1/2 (600-p)

But, the number of months can not be negative, t=√1/2 (600-p).

Since in this expression t is in the term of p.

Hence, the required expression that gives the number of months t in terms of the price p is, t(p) =√1/2 (600-p).

To learn more about the function visit:

https://brainly.com/question/12431044.

#SPJ4

Your question is incomplete, probably the complete question/missing part is:

Statistical models predict that the price (in dollars) of a 500 GB hard drive will change according to the function p(t) = 600 − 2t², where t is the month. Which expression gives the number of months t (passed since January 1) in terms of the price p?

Select the correct answer from each drop-down menu.
♡︎♥︎
1. 1 or 2
2. 1 or 2​

Answers

I think that the answer is one

choose the best answer

Answers

Answer:

the best answer

Step-by-step explanation:

can somebody help me with this problem ???

Answers

Answer:

r7

Step-by-step explanation:

I need help right away
Graph the following piecewise function. x^2+2 if -5

Answers

Answer:

4

Step-by-step explanation:

Hope this helps

Which statistic (mean, median, or mode) is most appropriate in each of the following situations?

Tables in the dining hall are numbered 1 through 12 for students who eat there. The principal calls
out a number for the table that will go through the buffet line first. The other tables followin
order of the table numbers. One student is sure the principal calls certain tables more often. She
keeps track of which numbers are called over a 21-day period.

• Mean
• Median
• Mode

Answers

The statistic which is most appropriate in the given situation is Mode.

Mode is defined as the statistical method which gives the value of an entity that occurs the greatest number of times in a set of values of data. For example, if the marks of 5 students scored in a test are given as 35, 45, 35, 35, 50 then the mode of the given set of data is 35 as it occurs the maximum number of times. Here, the student is sure that the principal will call out the name of a certain number of tables very often. She keeps track of the tables over 21 days and as the table number was called out for the maximum number of times within 21 days the value of the table number will be given by the Mode of the data.

Thus, the most suitable method is Mode.

Learn more about Mode at:

brainly.com/question/14532771

#SPJ1

Determine the solution for the system of equations: y = -2x + 1 3x - 2y = 5 A. (1, -1) B. (-1, 1) C. (-1, 0) D. No Solution

Answers

Answer:

Step-by-step explanation: d

20% of all the children in a class are left handed. 4 children are left handed. How many children are there in the class all together?

Answers

There are 20 students all together.

Which graph represents the solution set of the inequality x + 2 greater-than-or-equal-to 6
A number line goes from negative 9 to positive 9. A solid circle appears on positive 3. The number line is shaded from positive 3 through negative 9.
A number line goes from negative 9 to positive 9. An open circle appears at positive 3. The number line is shaded from positive 3 through positive 9.
A number line goes from negative 9 to positive 9. A closed circle appears at positive 4. The number line is shaded from positive 4 through positive 9.
A number line goes from negative 9 to positive 9. An open circle appears at positive 4. The number line is shaded from positive 4 through negative 9.

Answers

please help for me in studying maths tomorrow my exam

Answer:   x ≥ 4; solid circle at 4 and shaded to the right

Step-by-step explanation:

Given:

 x +2 ≥ 6

Subtract 2

 x +2 -2 ≥ 6 -2

 x ≥ 4

what is the equation of the line that passes through the point 4,8 and has a slope of 3/2​

Answers

Answer:

[tex]y = \frac{3}{2} x + 2[/tex]

Step-by-step explanation:

It gives us the slope in the question (3/2), so we can write an equation that looks like this:

[tex]y = \frac{3}{2} x + b[/tex]

To find the y-intercept we can plug the point (4,8) in the equation. Remember that 4 is x and 8 is y.

[tex]8 = \frac{3}{2} (4)+ b[/tex]

Now solve for b

[tex]8 = \frac{12}{2} + b\\8 = 6 + b\\2 = b[/tex]

Next, write the full equation using the slope and y-intercept:

[tex]y = \frac{3}{2} x + 2[/tex]

I hope this helps!!

- Kay :)

Answer:

[tex]y=\frac{3}{2}x+2[/tex]

Step-by-step explanation:

The image below shows proof that the equation [tex]y=\frac{3}{2}x+2[/tex] is the line that passes through point (4, 8) and has a slope of [tex]\frac{3}{2}[/tex].

Hope this helps! :)

What is
-10x -1 > 39

Answers

Answer:

Step-by-step explanation:

x<−4
hope this helps

.6203 rounded to the nearest tenths

Answers

Answer:

.6200

Step-by-step explanation:

3 rounds down to 0.

Answer: 0.62

Step-by-step explanation: 0.62

K(x) = 2x^2 + 7
What is k(4)

Answers

Answer:maybe this helps

Step-by-step explanation: k*(x)-(2*x^2+7)=0

STEP

1

:

Equation at the end of step 1

kx - (2x2 + 7) = 0

STEP

2

:

Trying to factor a multi variable polynomial

2.1 Factoring kx - 2x2 - 7

Try to factor this multi-variable trinomial using trial and error

Factorization fails

Equation at the end of step

2

:

kx - 2x2 - 7 = 0

STEP

3

:

Solving a Single Variable Equation:

3.1 Solve kx-2x2-7 = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

We shall not handle this type of equations at this time.

Given f(x) = 6(1-x) , what is the value of f(-8) ?

Answers

Answer:

The value of f(-8) is 54

Step-by-step explanation:

Plug -8 in for x, a negative, and a subtraction sign is an addition.

Hope this helps!

what would -3/4 look like as a slope?

Answers

The slope would appear linear in the negative direction. It would have a rise of 3, and a run of 4. The picture is the function “y = -3/4x”

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
3x+ 3y= 24


HELP ME

Answers

Answer:

[tex]y=-x+8[/tex]

Step-by-step explanation:

[tex]3x+3y=24\\\\3x-3x+3y=24-3x\\\\3y=24-3x\\\\\frac{3y=24-3x}{3}\\\\y=8-x\\\\\boxed{y=-x+8}[/tex]

Hope this helps.

Answer:
y=-x+8

Explanation:
Our goal for this is to rearrange the given equation in y=mx+b form.

Please check the picture attached!

I hope this helps!

Okay so I'm working on this assignment and I see this question and I'm very confused, aren't the first 2 answers the same and the next 2 are? I am very confused...

Answers

Answer:

actually no.

Step-by-step explanation:

I assume you know the 4 inequalites:

The 4 Inequalities

Symbol      Words               Example

>          greater than        x+3 > 2

<             less than         7x < 28

≥ greater than or equal to 5 ≥ x−1

≤    less than or equal to 2y+1 ≤ 7

The "open circle" represents less than or greater than, and the "closed circle" represents greater than or equal to or less than or equal to.

Hope it helps! Have a great day! :) let me know if it helped

Answer:

No

Step-by-step explanation:

The first and 2nd answer are different because in the first one the circle is open and in the 2nd one the circle is closed. When the circle is open it means that the number that the circle is on is not a part of the asnwer. This is represented by < or > signs. When the circle is closed it means the number is included in the answer. This is represented by the [tex]\leq or \geq[/tex] symbol.

Question in image. :)

Answers

a. f(a) =5a+12

we have 1. a=6

Therefore, where ever we find a we'll substitute in 6

f(6) =5(6) +12

6f=30+12

6f=42

so therefore 1. a=6 will match c on the right

2. a=2

f(2) =5(2) +12

2f = 10+12

2f = 22

therefore 2. a=2 will match a on the right

3. a=4

f(4) =5(4) +12

4f=20+12

4f=32

therefore 3. a=4 will match d on the right

4. a=5

f(5) =5(5) +12

5f=25+12

5f=37

therefore 4. a=5 will match b on the right

Whats The Answer Marking Brainliest, Please explain your answer:D...

Answers

D.
the absolute value of 15 is greater than the absolute value of -10, 15 dollars is more than 10

A train is traveling at 60 km down the tracks, it continues traveling for 6
hours, how far did the train travel? *
A. 10 km
B. 120 km
C. 360 km
D. 12 km
please help with this!!

Answers

Answer:

the answer is a

Step-by-step explanation:

because 60/6= 10

Solve by taking square roots (r+8)(4r-1)=0

Answers

Answer:

The answer is r={-8,1/4}

A store has 7 red shirts, 15 black shirts, 13 white shirts, and 5 green shirts. Select the portion of the shirts that are black. Mark all that apply. *

Answers

Answer:

8/5 portion of black shirt is there


Use the information to answer the question.

The equation y = 30x represents the distance, y, in miles, a domestic cat can run after hours. The table shows the distance, y, in miles, a domestic dog can run after x
hours.
Time(in hours)
0.5
1
2
Distance(in miles)
17.5
35
70
Part A
Based on this information, which statement is true?

1.The cat and dog run the same distance every hour

2.The cat runs more miles per hour than the dog

3.The distances the dog and cat run every hour cannot be compared.

4.The dog runs more miles per hour than the cat
.

Answers

Answer:

An elk was clocked running 45 miles per hour. Which equation shows the relationship between the distance, y, and time, x, that the elk ran? ... 17 QuestionsShow answers. Question 1. SURVEY ... Which mapping diagram represents a relationship that is a function? ... The equation y = 30x + 50 gives the cost y after x months.

Step-by-step explanation:

PLEASE HELP!! BRAINILIESTTTT

Answers

Answer:

The element is Boron(B)

Step-by-step explanation:

This is because on the periodic table, it shows that Boron has 5 protons and 5 electrons

-8(4+7)=-88 PLEASE HELP

Answers

Answer:

Step-by-step explanation:

-8 (4+7)

Add the numbers: = -8. 11

Multiply the numbers

= -88

Madison bought a dress priced at $98.25. The dress was 20% off. If she purchases the dress, what would the discounted price be?

A. $15.89


B. $78.25


C. $19.65


D. $78.60

Answers

Answer:

C. $19.65

Step-by-step explanation:

You have to find 20% of $98.25

This is equal to,

20% * $98.25                Because of usually means multiplication

= .20 * 98.25                 Because .20 = 20%

= 19.65!

Where should you plot the ordered pair (3,4) in relation to the origin?

Answers

Answer:

3 goes on the x acsis 4 goes on the y axsis

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