Mathematics Middle School

The Masons are driving home from a trip. The function graphed models the Masons' distance from home, y, in miles, after x hours of driving.

What do the key features of the graph indicate in this situation?

Drag and drop the answers into the boxes.

The Masons Are Driving Home From A Trip. The Function Graphed Models The Masons' Distance From Home,

Answers

Answer 1

ANSWER

The key features are:

1. The y-intercept which is [tex](0,400)[/tex].


This means that at time [tex]x=0[/tex], the Masons are [tex]400[/tex] miles away from home.


2. The x-intercept which is [tex](8,0)[/tex].


This means after [tex]8[/tex] hours the Masons reached home.

The reason is that [tex]y=0[/tex] miles. This means that there is no distance between the Masons and their home.


3. The slope of the graph which is [tex]\frac{distance}{time}[/tex] tells us the speed at which they travel towards their home.


[tex]Speed=|\frac{0-400}{8-0}| =|-50|=50[/tex].


This means they traveled at a speed of [tex]50miles/hour[/tex].


The negative slope of the graph tell us that the distance is reducing as they approach their home.








Related Questions

Which value for x makes the sentence true?

5(9x-6) + 15 = 210

A. 8
B. 10
C. 2 11/17
D. 5

Best full explanation gets brainiest, rating and thx.
PLEASE DONT ANSWER IF YOU CANT EXPLAIN!

Answers

I hope this helps you out
The answer is 5,x =5
5 (9x-6)+15=210
5×9×5=225
5×6=30
225-30=195
195+15=210
see,simple enough to understand
And it is explained step by step

A window has a radius of 12 inches. What is the circumference of the window? Use 3.14 to approximate pi. Round your answer to the nearest whole number.

Answers

75 inch is the circumference
You can use π*R² to work out the area of a circle,
The radius has been given to you so...
π*12² = 452.38

The area is 452.38 inches²

You can use π*2r to work out the circumference;
π*24 = 75.3 inches
Hope this helps! :)

-7.5 (x - 3) = 3.75
what is the value of x ?

Answers

-7.5 (x - 3) = 3.75
-7.5 x + 22.5  = 3.75
-7.5 x = - 18.75
       x = 2.5

hope it helps

Answer:  The required value of x is 2.5.

Step-by-step explanation:  We are given to find the value of x in the following equation :

[tex]-7.5(x-3)=3.75~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the value of x, we need to solve the given equation (i).

The solution of equation (i) is as follows :

[tex]-7.5(x-3)=3.75\\\\\\\Rightarrow x-3=\dfrac{3.75}{-7.5}\\\\\\\Rightarrow x-3=-0.5\\\\\Rightarrow x=3-0.5\\\\\Rightarrow x=2.5.[/tex]

Thus, the required value of x is 2.5.

Helppppp please. I’m so bad at thus

Answers

So you need to solve for the x and y values...I personally would use a graph. The is this website called desmos, it can help you with this kind of problem. You can see that the green point which is (10, 44) is on the line.. Lets check our work...

y = 4x + 4
44 = 4(10) + 4
44 = 40 + 4 
44 = 44
This is your answer. I hope this helps love! :)

1.) Each time a ball hits the ground, it bounces back to 2/3 of its previous height. On its second bounce, the ball reaches a height of 12 in. What was the balls original height?

2.) A runner jogs on a 1/4-mi track. How many miles does the jogger run in 18 laps?

Thanks!

Answers

this is the answer check it out

A card is drawn from a standard deck and a letter is chosen from the word incredible. What is the probability of drawing a king then getting an i?

Answers

There is a 4/52 chance of getting a king, because there are 52 cards in a deck, and 4 kings in each. And there is a 2/10 (1/5) chance of getting an i, because there are 2 i's in the word "incredible", and 10 letters (so simplifying that, you would get 1/5).

Step-by-step explanation:

A card is drawn from a standard deck. A standard deck of cards has 52 cards. Its been asked if it is a king. There are 4 kings in a deck, so probability is = [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex]

Simultaneously, a word is chosen from 'incredible' that has 10 letters. We have been asked if the letter is 'i'. In the given word, we have 2 'i's. So, probability is [tex]\frac{2}{10}[/tex] or [tex]\frac{1}{5}[/tex]

Two examples that have a gcf of 8

Answers

12 & 24
16 & 24
4 & 16
16 & 32

hope this helps.
An example would be 24 and 16. Their GCF would be 8.

slope is -2 and (1,1) is on the line

Answers

-2x+3. X intercept is +3. Moves two steps down and one step to the right to land on the point (1,1)

PLZ TELL HOW U GOT THE ANSWER AND IT'S THE CIRCLED ONE PLLLLLZZZZZ

Answers

California:   22205.26
Kentucky:   19800.41
Ohio:   12102.75

Why there must be at least two lines on any given plane

Answers

The answer is that any plane must have a X and a Y. I hope this helped :)

Belinda wants to buy 5 pictures to hang in her family room . If each picture costs $30.90 how much will it cost her to buy 5? Justify your answer by using distributive property

Answers

ur answr would be 154.50 because if u do 30.90 5 times or times 30.90 by 5 its 154.50

You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Which expression shows your balance at the beginning of the month?

Answers




$72.31  is the total amount AFTER ADDING TWO DEPOSITS

So, if we want to know the amount before deposits, we just need to take the total of previous two deposits

The expressions that show your balance would be

$72.31 – $17.92 – $15.33;    $39.06

Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 miles head start. Harper runs 0.5 mile per hour faster than Liam. If Harper and Liam run the same distance, how many hours, x, do they run.

Answers

Final answer:

The time 'x' that both Harper and Liam are running for is 0.25 hours. This is calculated by setting the total distance covered by both runners equal to each other and solving for 'x'.

Explanation:

The subject of your question is Mathematics, specifically dealing with concepts of race pacing and distance calculations. Here's an answer to your question:

Let's denote the time it takes for both Harper and Liam to finish the race as 'x' hours. Given that Liam runs at 4 miles per hour and has a 0.25-mile head start, the total distance he runs is 4x + 0.25 miles. Harper, on the other hand, runs at 4.5 miles per hour (0.5 mile per hour faster than Liam) for 'x' hours, so Harper runs a total of 4.5x miles.

Since both runners run the same total distance, we can set these two equations equal to each other and solve for 'x':

4x + 0.25 = 4.5x

Solving this equation gives x = 0.25 hours.

Learn more about race pacing here:

https://brainly.com/question/11466914

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Kate's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores was 153, find Kara's hold score.

Answers

k = (3/4)88 -1 = 65 is the equation, try to work it out!

Answer:   Kate's score is 65.

Step-by-step explanation:  Given that Kate's golf score was 1 less than three fourths of Greg's golf score and the sum of their scores was 153.

We are to find Kate's score.

Let x and y represents Greg's score and Kate's score respectively.

Then, according to the given information, we have

[tex]y=\dfrac{3}{4}x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

and

[tex]x+y=153\\\\\Rightarrow x+\dfrac{3}{4}x-1=153\\\\\\\Rightarrow \dfrac{7}{4}x=154\\\\\Rightarrow \dfrac{x}{4}=22\\\\\Rightarrow x=22\times4\\\\\Rightarrow x=88.[/tex]

From equation (i), we get

[tex]y=\dfrac{3}{4}\times88-1=66-1=65.[/tex]

Thus, Kate's score is 65.

Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each. Explain Kendra’s error.

Answers

120/40=3
So each bouquet is $3 if she buys 40 bouquets for $120
Therefore 40 bouquets for $2.50 each is less expensive

Hope this helps!! :)

The Kendras error is that she doesn't know multiplication.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Given that Kendra buy 40 bouquets for $120

So each bouquet cost 120/40  = $3 so each bouquet cost $3.

By the second option, she will get bouquets at $2.50 only it is an error of Kendra.

For more information about multiplication

brainly.com/question/14059007

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The library has 2,000 books for sale.The books are sorted into nonfiction, fiction, and children's books. The children's books number 500. Also, there are 200 more fiction books than nonfiction books. How many fiction books and nonfiction books are for sale in all? Please, Explain all the directions on how you got your answer.

Answers

If you take 2000 and subtract that by 500 for the childrens books that would equal 1500. So, the fiction and nonfiction books sum would have to be 1500. Since 850 plus 650 equals 1500, there would be 650 nonfiction books, 850 fiction books, and 500 children's books.

Hope This Helps!

Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earnings m to the number of hours h she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? for 4.5 hours?

Answers

first find the unit rate
28.50 divided by 3 = 9.50
Trina earns $9.50 for every hour she tutors

m = 9.5h

now just substitute 2 for h

m = 9.5(2)
m = $19

now substitute 4.5 for h

m = 9.5(4.5)
m = $42.75

Trina earns $19 for 2 hours and $42.75 for 4.5 hours

i hope this helps!!

A recipe calls for 2/3 cup of brown sugar.marilyn is making 5 batches.how many cups of brown sugar should Marilyn use?

Answers

well 2/3 *5 is the answer so 3 1/3 is the answer

10/3 cups of brown sugar, or 1 1/3 cups of brown sugar.

At the first four stops, the number of students that board Mr. Tuttle’s school bus is 4, 6, 12 and 2 students, respectively, and no students exit the bus. After these four stops, the number of students on Mr. Tuttle’s school bus is 50% of its full capacity. How many students does Mr. Tuttle’s bus hold at full capacity?

Answers

48 students is the maximum capacity.  :)

Yolanda purchased a prepaid phone card for $25 . Long distance calls cost 23 cents a minute using this card. Yolanda used her card only once to make a long distance call. If the remaining credit on her card is $22.24 , how many minutes did her call last?

Answers

for 12 minutes because 23 x 12 is 2.76 and 25 minus 22.24 is 2.76

I have a fair six sided dice numbered 4,9,12,16,20 and 24 what is the probability of rolling a multiple of 4

Answers

It would be 5/6 because 4 can go into 4,12,16,20, and 24.

4, 12, 16, 20, and 24 are multiples of four, so there is a 5/6 chance of landing on a multiple of four.

art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies

Answers

(28 : 100) *6 = 1.68 (tax)

28 + 1.68 = 29.68 (total cost)

A student reads 65 pages per hour
Time/Pages= 3/195 5/322 9/585 10/650
Is this a porportional relationship?

Answers

195/3 = 65 pages per hour, but 
322/5 = 64.4 pages per hour

No, this is not a proportional rel.  If it were, the const. of prop. would be 65/pages per hour in every case.

Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit

Answers

Greetings!

To find the -10°C in Fahrenheit, you just need to input the information we have into the formula:

[tex]F=1.8C+32[/tex]
Input.
[tex]F=1.8(-10)+32[/tex]
Simplify.
[tex]F=-18+32[/tex]
The Answer Is:
[tex]F=14[/tex]

-10°C would be 14°F.

Hope this helps.
-Benjamin

The value of the temperature -10°C is equivalent to 14°F.

The process of changing a quantity's unit of measurement to another one that reflects the same physical amount is known as unit conversion.

To convert -10°C to Fahrenheit using the formula F = 1.8C + 32, follow these steps:

Start with the given temperature in Celsius, which is -10°C. Plug in -10 for C in the formula:

F = 1.8(-10) + 32.

Simplify the equation: F = -18 + 32.

Combine like terms:

F = 14.

Therefore, -10°C is equivalent to 14°F.

To know more about unit conversion follow

https://brainly.com/question/23274497

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there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class

Answers

So 9 students = 25% (100%-75%=25%)
100 : 25 = 4
4 * 9 =
36 students


The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold  1/3 of the short-sleeved shirts and  1/2of the long-sleeved shirts, for a total of 100 shirts.
This system of equations models the situation.
   5x + 10y = 1,750
1/3x + 1/2y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?

How many long-sleeved shirts were ordered?

Answers

150 short-sleeved shirts
100 long-sleeved shirts

Answer:

150 short-sleeved shirts and 100 long-sleeved shirts.

Step-by-step explanation:

We will use elimination to solve this system of equations.  We will make the coefficients of x the same in order to eliminate them; to do this, we must multiply the bottom equation by 15 (1/3 of 15 is 5, so 15(1/3) = 5):

[tex]\left \{ {{5x+10y=1750} \atop {15(\frac{1}{3}x+\frac{1}{2}y=100)} \right. \\\\\left \{ {{5x+10y=1750} \atop {5x+7.5y=1500}} \right.[/tex]

Subtract the second equation from the first one:

[tex]\left \{ {{5x+10y=1750} \atop {-(5x+7.5y=1500)}} \right. \\\\2.5y=250[/tex]

Divide both sides by 2.5:

2.5y/2.5 = 250/2.5

y = 100

Substitute 100 in for y in the first equation:

5x+10(100) = 1750

5x+1000 = 1750

Subtract 1000 from both sides:

5x+1000 - 1000 = 1750 - 1000

5x = 750

Divide both sides by 5:

5x/5 = 750/5

x = 150

What is a FREAKIN ratios

Answers

The quantitative relation between two amounts showing the number of times one value contains or it’s contained within the other.

pretty simple

compares two amounts like 4:5 is a ratio

Susan can buy 312312 lb of strawberries for $7.00. How many pounds of strawberries can she buy for $1.00? Express you answer as a fraction in simplest form

Answers

The first step would be to create an equation for this problem. 
[tex] \frac{312,312 lb}{7.00} [/tex]

Now, all you would have to do it solve it. 
[tex] \frac{312,312 lb}{7.00} [/tex] = [tex] \frac{44616 lb}{1.00} [/tex]

You can buy 44616 lb of strawberries for one dollar. 

I hope this helps!

Answer:

are you sure it is that large number and not 3 1/2

Step-by-step explanation:

The viewership of a television show has decreased form 5.1 million viewers to 3.5 million viewers per episode. Find the percent of decrease in viewership to the nearest percent.

Answers

31 percent decrease hope i help

Final answer:

To calculate the percent decrease in viewership, subtract the final number of viewers from the original number, divide that by the original number, and multiply by 100, rounding to the nearest percent. The viewership decreased from 5.1 million to 3.5 million, a 31% decrease.

Explanation:

The subject of this question is Mathematics, specifically relating to percentages. To find the percent decrease in viewership from 5.1 million to 3.5 million:

Calculate the decrease in viewers: 5.1 million - 3.5 million = 1.6 million.

Find the percentage: (1.6 million / 5.1 million) × 100 = 31.37%.

Round to the nearest percent: 31.37% ≈ 31%.

Therefore, the viewership has decreased by approximately 31%.

How many solutions does the equation have 5(n-2)=5n-10

Answers

5(n-2) = 5n -10

5n - 10 = 5n-10

ALL REAL NUMBERS
I’m pretty sure that’s considered Infinite because they both equal out to 5n-10=5n-10
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