Mathematics High School


Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.

Answers

Answer 1

Answer:

Malcom's family travel 15 miles per hour faster than Theo's

Step-by-step explanation:

See attachment for complete question

Given

Malcom's Family:

[tex]d = 65t[/tex]

To determine the equation of Theo's family, we refer to the attached graph.

From the graph:

[tex]t = 1; d = 50[/tex]

[tex]t = 2; d = 100[/tex]

First, we determine the slope, m:

[tex]m = \frac{d_2 - d_1}{t_2 - t_1}[/tex]

[tex]m = \frac{100 - 50}{2- 1}[/tex]

[tex]m = \frac{50}{1}[/tex]

[tex]m = 50[/tex]

Next, we determine equation for Theo's family using:

[tex]d - d_1 = m(t - t_1)[/tex]

[tex]d - 50 =50(t - 1)[/tex]

[tex]d - 50 =50t - 50[/tex]

Add 50 to both sides

[tex]d - 50 +50=50t - 50 + 50[/tex]

[tex]d =50t[/tex]

So, we have the following:

[tex]d = 65t[/tex] --- For Malcom's family

This implies that Malcom's family travel at 65 miles per hour

[tex]d =50t[/tex] --- For Theo's family

This implies that Theo's family travel at 50 miles per hour

The difference between this rates is:

[tex]Rate = 65t - 50t[/tex]

[tex]Rate = 15t[/tex]

Which implies that Malcom's family travel 15 miles per hour faster than Theo's

Malcolm And Theo's Families Are Both Traveling To The Same Vacation Resort.The Equation D = 65t Models

Related Questions

Laurie wants to put a portable cellular phone mini-tower on her roof. the tower cannot be placed higher than 30 feet. the slant of the roof can be represented by the equation r(x)=-1/4|x|+60. If her house is 40 feet wide where could she place the tower? Explain

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Answer:

on the ground

Step-by-step explanation:

6. Determine the value of x and y in the diagram below.
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Answer:

y=43

X=34

Step-by-step explanation:

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3x=101. divide 101 by 3 to get X.

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
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Answers

Answer:

it would be 0.64

Step-by-step explanation:

What is the solution to 2(x-4)=16

Answers

Answer:

x=12

Step-by-step explanation:

Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

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6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

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ratios that are equivalent to 40:28

Answers

Answer:

10:7

Step-by-step explanation:

What is another way to write 75?


5+5+5+5+5+5+5

7×7×7×7×7

5×5×5×5×5×5×5

7+7+7+7+7

Answers

Answer:

3 • 25

Step-by-step explanation:

3 25 times also makes 75

42°
X Х
x =
degrees
tar

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Answers

Answer:

x = 48°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

x = 180° - (90 + 42)° = 180° - 132° = 48°

Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?

Answers

she received $60 on her birthday

What is the slope,m, of the table?

What is the y-intercept,b, of the table?

What is the equation that represents the table?

Answers

Answer:

9

Step-by-step explanation:

Find 12% of 200 plz help ty

Answers

Answer:

Step-by-step explanation:

to find this, you would do multiply the two since "of" means multiply

12% of 200

.12(200)

24 is your answer

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explanation:


37x+26=42x+6
someone please help me solve this step by step

Answers

Step-by-step explanation:

37x+26=42x+6

x=4

If am wrong sorry

Answer:

x = 4

Step-by-step explanation:

1. Subtract 26 on both equation. (37+26−26=42+6−26)

2. Simplify and Subtract the numbers and repeat. (37=42−20)

3. Subtract 42x on both equation. (37−42=42−20−42)

4. Put together (simplify). (−5=−20)

5. Now divided with -5x. ( −5/−5=−20/−5)

6. Get your answer! (=x4)

~~~Hope this helps~~~

ILL MARK U BRAINLIEST IF U EXPLAIN!!

Answers

Answer:

93

Step-by-step explanation:

the total of all those are 150 so if you multiply it by three you get 450

so multiply pizza by three too

to get 93

Answer:

93 students

Step-by-step explanation:

You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.

Therefore, 93 students would say pizza is there favorite food.

Hope this helps :)

Complete the solution of the equation. Find the value of Y when X equals 5. X-5y=45

Answers

Answer:

y = -8

Step-by-step explanation:

5 - 5y = 45

-5y = 40

y = -8

Answer:

-8

Step-by-step explanation:

replace X with 5

subtract 5 from both sides of the equation:

-5y = 40

divide by - 5

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Which situation represents an example of a non-proportional relationship?
A. A restaurant charges $1.75 for each soft drink.
B. A cell phone company charges customers 10 cents per text sent or received.
C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
D. A dog walker charges $10 to walk one dog for 30 minutes.

Answers

I think it is c.

So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a PROPORTIONAL RELATIONSHIP would be something along the lines of y=mx+0 because b, which is the w intercept is 0. If the y intercept is 0 then the line will cross the origin of the graph. So with this being said a NO -PROPORTIONAL RELATIONSHIP would be anything that has a b value besides 0, because then the line would cross at a y intercept besides the origin.

So with this being said the equation of a line for:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y intercept). This means this is a PROPORTIONAL RELATIONSHIP, crossing the origin (THIS IS NOT THE ANSWER)
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is agin no b value, so the y intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)

C) would be y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case because 50 is being added to the 20x, the b value or y intercept would be 50. This WOULD NOT cross the origin because the intercept is not 0, as a result THIS IS YOUR ANSWER)!

d)(this one I don’t exactly know how to explain... but I don’t think you can really make a proper linear equation because it is dealing with time (30min) but also money (10 for one dog). In this case you would have to have a variable for the number of dogs and the amount of time your dog(s) are walked (30 min). So in this case, the equation y=10x+30z (let’s say d is the number of dogs and s is the number of 30 min increments), The equation would not make sense because you are working with two different things... time and money in the same equation. You cannot add the 30minutes plus 10$ because that is combining two different units. So with this, I don’t think this is the answer. (I’m sorry about this one, I don’t know for sure if this is the right explanation for this or not, but I don’t think this is the correct option. I think c would be)!


I hope this helps!!! :)
Good luck!

Option c is the correct answer. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.

What is a proportional relationship?

Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. That constant is known as the "constant of proportionality".

So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a proportional relationship would be something along the lines of y=mx+0 because b, which is the w intercept is 0. I

Having said that, here is the equation for a line:

a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept). This means this is a

b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)

c) y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case, because 50 is being added to the 20x, the b value or y-intercept would be 50.

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Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8

Answers

No.
An order pair is in the format of (x,y). Therefore, in the order pair (2,4), 2 is the x and 4 is the y. When you plug these numbers into the equations you don’t get equal answers:

4(2) = 4 - (4)
8 ≠ 0

3(2) = 26 + 5(4)
6 ≠ 46

dose anybody know how to do these kind of questions? with the step by step

Answers

X+1>-5(7-2x)

-Remember Parenthesis are always first!!
-A Negative Times a Negative =A positive
- X can also be written as 1x
-Whatever you do to one side, you have to do to the other


1x+1>-35+10x
-1x -1x
1 > -35 +9x
+35. +35

36 > 9x

-We divide by 9, NOT 9x. The reason we only divide by 9 is because we are trying to cancel out and get X by itself

36/9 = 4

9>x

Hope that helped!!!

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Please Help And Explain How To Do This.

Answers

Answer:

Step-by-step explanation:

19-4x+15x  combine like terms

19+11x

Part 5

I have done some of these but I feel unthanked I am going to continue to give pts. These points are for the females because they are strong and smart and good. We men deserve more women like you all. please take these pts. <3

Answers

Haha

I appreciate it I guess.

Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?

Answers

Answer:

Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.

Step-by-step explanation:

14. Write a description of the rule (x,y) (x + 10, y + 8)
a translation 10 units to the right and 8 units up
b. translation 10 units left and 8 units down
c. translation 10 units to the right and 8 units down
d. translation 10 units to the left and 8 units up

Answers

Answer:

A

Step-by-step explanation: took the test

2j^3-8j^2 please help ​

Answers

Answer:

Your answer is:  [tex]2j^{2}(j-4)[/tex]

Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]

Step-by-step explanation:

Hope this helped : )

I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!

Answers

This is the answerrrrr

Answer:   [tex]\frac{x^8}{256y^{20}}[/tex]

If the font is too small, it says x^8 all over top 256y^20 as one big fraction.

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

Work Shown:

[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]

An architect's scale drawing of a new school is 8.4 inches
long. The scale used in the drawing is 2 inches = 8 feet.
What is the actual length, in feet, of the school?
Select one:
16.8
18.4
51.2
o
33.6

Answers

Answer:

33.6

Step-by-step explanation:

The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?

Answers

Answer:

0.025 $/in.

The store bought 300 ft of rope.

1 ft = 12 in.

300 ft * 12 in./ft = 3600 in.

The store bought 3600 inches of rope.

The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.

($1.60)/(40 in.) = $0.04/in.

The store sells the rope at a price of $0.04 per inch.

The store sold all the rope at $0.04/in.

3600 in. * $0.04/in. = $144

The store sold all the rope for $144.

The profit was $54 for selling ll the rope.

$144 - $54 = $90

The bought the rope for $90.

The cost is dollars per inch is

($90)/(3600 in.) = 0.025 $/in.

Step-by-step explanation:

The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).

In this case, the slope is given as 0.08.

Interpreting the slope:

A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.

This indicates a linear relationship between the quantity of rope sold and the selling price.

In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

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insert parenthesis in the following problem to make it true.

7 – 2 x 2 – 1 = 9

help me!!!

Answers

Answer:

(7-2) x 2 -1 = 9

Step-by-step explanation:

(7-2) = 5 x 2 =10 -1 = 9

the fair has a total of 90 rides. 30% of the rides are considered kiddie rides. How many of the fair rides Are not kiddie rides?

Answers

It would be 60 wouldn't it?

Answer:

63

Step-by-step explanation:

70 percent aren't so multiply 90 by 7/10

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Answers

Answer:

-14/15

Step-by-step explanation:

y^2 - y^1
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What is the result when you change the line y = 6/5 x + 2 to
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Answers

Answer:

14x+7y=-214x+7y=−2

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

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Answers

Answer:that’s the answer enjoy

Step-by-step explanation:

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