2 QUESTIONS 50 POINTS!!! Question 1: A car's odometer starts at 25 miles and for every 25 miles traveled, 1 gallon of gas is used. Based on this information, which graph best shows this relationship between the miles traveled, y, and the gallons of gasoline used, x? Question 2: When a window is open, the temperature in a room falls 5ºF every 15 minutes. Before the window is opened, the temperature was ​ 70ºF​ .


Use the Ray tool to make a graph that shows the temperature of the room, T, after the window has been open for m minutes.

Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

We can see that Natalie is reducing the amount she owes by $18 every two weeks.

Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.

This means that after n weeks, the amount she still owes is:

$180 - $18n

Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:

$180 - P

After two weeks, she will owe:

($180 - P) - P = $180 - 2P

After four weeks, she will owe:

($180 - 2P) - P - P = $180 - 4P

After six weeks, she will owe:

($180 - 4P) - P - P = $180 - 6P

And after eight weeks, she will owe:

($180 - 6P) - P - P = $180 - 8P

We can set up an equation using the information we have:

$180 - 8P = $108

Solving for P, we get:

P = $9

Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.

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The complete question:

Natalie borrowed money from her parents to pay for a trip. ​Natalie will ​pay her parents in equal amounts every week until she pays back the ​entire amount she borrowed. ​ ​The table below shows the amount of ​money Natalie still owes her parents at the end of every two weeks for ​the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?

Week 0 = $180

Week 2 = $162

Weeks 4 = $144

Week 6 = $126

Week 8 = $108

\(1/2 * 2 * 1 = 1\) square unit.

Step-by-step explanation:

To find the maximum area of the triangle, we need to locate the vertex of the parabola. This occurs when x=1. The y-coordinate at x=1 is 1. We can then use this as the height of the triangle. The base of the triangle is the distance between x=0 and x=2, which is 2. Therefore, the maximum area of the triangle is 1/2 * 2 * 1 = 1 square unit.

Answer:

Step-by-step explanation:4/9 /4= 1/9

Answer:

30 to 29 1000 ke you can find the attachment

Answer:

84

Step-by-step explanation:

The equation that models this situation is 1110 = 15x + 150 where x = cameras sold (note that this doesn't include the first 20 cameras, we'll add those on at the end). Let's solve for x!

1110 = 15x + 150

960 = 15x

x = 64 so the answer is 64 + 20 = 84 cameras.

Answer:

x=\(\frac{13}{30}+i\frac{\sqrt{251}}{30}\)

Step-by-step explanation:

Answer:

I do not fully understand this question so I will try to answer it the best I can.

25x^2-10x^2-13x=-7

15x^2-13x=-7

That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.

Answer:

\(5.4*10^{5}-1.2*10^{3}=5.388*10^{5}\)

Step-by-step explanation:

We can rewrite \(1.2*10^{3}\) as \(0.012*10^{5}\).

Now, let's subtract each term:

\(5.4*10^{5}-0.012*10^{5}\)

we can take a common factor.

\((5.4-0.012)*10^{5}=5.388*10^{5}\)

Therefore the answer is  \(5.388*10^{5}\).

I hope it helps you!

Let's begin by listing out the information given to us:

let the number be represented by x

twice a number = 2x

three times a number = 3x

3x - 2x + 20

x + 20

It is a linear equation

Answer:

h=3

Step-by-step explanation:

4h+8=9h-7

subtract 4h

8=5h-7

add 7

15=5h

divide 3

h=3

The fraction 1/2 converts to 0.50 in decimal form.

The mixed number 15 & 3/4 is the same as 15.75

If Calvin is distracted, then he makes 15.75-0.50 = 15.25 pizzas per hour on average.

Multiply by 8 to find the total number of pizzas possible.

8*15.25 = 122

Calvin can make 122 pizzas in an 8-hour shift with Megan.

Since Calvin works at a pizza place making pizzas, and if he is working alone, he can make an average of 15 3/4 per hour, but if he works with his friend Megan, he tends to get distracted, and his rate falls by 1/2 per hour, to determine how many pizzas can Calvin make in a 8-hour shift with Megan, the following calculation must be performed:

Therefore, Calvin can make 122 pizzas in an 8-hour shift with Megan.

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394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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Answer:

b. form: p → q invalid, converse error q ∴ p

Step-by-step explanation:

Let

p = "there are as many rational numbers as there are irrational numbers,"

let

q = "the set of all irrational numbers is infinite."

We can write the above argument as:

If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite

p → q

The set of all irrational numbers is infinite

q

There are as many rational numbers as there are irrational numbers

p

So collectively it can be written as:

p → q

 q

∴p

So it looks like

if p then q

q

therefore p

This is a fallacious argument.  This means the conclusion can be false even when the premises are true. This type of argument is invalid.

Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.

Let us prove this argument is invalid with a truth table:

p   q   p → q   q   p

T   T      T       T   T

T   F      F       F   T

F   T      T       T   F

F   F      T       F   F

Since we know that the premises are:

p → q   and  q

and the conclusion is p

and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q   and  q are true then p is true but the third row fails. Thus this is an invalid argument.

Answer:

perimeter of 2 semi circle =πd=30π=94.25m

now total perimeter =94.25m +80+80=254.25m

so.

254.25m of railing is needed.

Answer:

sam is 30 and harry is 10

Step-by-step explanation:

hope you liked my answer .

Answer: Sam is 30 years old, and Harry is 10 years old.

Step-by-step explanation:

Answer:

Hi rei its cam

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

c + 3 > 5

subtract 3 from both sides:  c > 2

c - 1 > 1

Add 1 to both sides:  c > 2

Therefore, they are equivalent.

Answer:

left of 3 including 3

Step-by-step explanation:

It's a vertical line

Answer:

Left

Step-by-step explanation:

My 6th grade teacher taught me a trick

Whenever the </> was pointing a direction you would shade in the opposite direction so if you had x -<- 3 you would shade to the Left.

Hope this helps :)

Answer:

I believe it is 18

Step-by-step explanation:

If you write out the count by's then the last number they both have in common is 18.

Hope this helps, have a wonderful day!

Answer: 36

Step-by-step explanation:

Answer:

Please attach a photo to this so I can better answer your question

Answer:

The answer is definetely 5.

Step-by-step explanation:

K = the distance from f(x) to g(x)

And I took the test and got a 100%. Ik ik I really am a MATH MAESTRO, it's in the name. Anyways Good luck! I hope this helped!

Answer:

5

Step-by-step explanation:

Answer:

slope = 2/3

Step-by-step explanation:

Find the slope of the line through each pair of point

(-2,-1) (4,3)

slope = change in y / change in x

slope = (-1 - 3) / (-2 - 4)

slope = -4/-6

slope = 2/3

Answer:

A. Cone

D. Rectangular Prism

E. Cylinder

F. Sphere

Step-by-step explanation:

Rectangular Prism is a solid three dimensional shape. It has six faces which are sides of a rectangle. It is also known as Cuboid. The rectangular prism cannot be formed with two dimensional shapes. Sphere is a geometrical object which is a three dimensional circle. This shape has a circumference so this shape cannot be formed with two dimensional shapes.

Answer:

-8

Step-by-step explanation:

The steps are in the photo I attatched

Answer:

For this case we know that in many times a penny shoes 20 head and 55 tails so then the total of trials are:

\( n = 20 +55=75\)

Then we are interested in the probability of getting heads and if we use the Laplace formula we have:

\( p =\frac{Possible}{total}\)

And the correct way would be:

\( p =\frac{20}{20+55}=\frac{20}{75}\)

If we simplify we got:

\( p =\frac{4}{15}\)

And the error was because she use 55 as the total number of trials and that's not the size of the sample space and for this reason she got \(\frac{20}{55}\)

Step-by-step explanation:

For this case we know that in many times a penny shoes 20 head and 55 tails so then the total of trials are:

\( n = 20 +55=75\)

Then we are interested in the probability of getting heads and if we use the Laplace formula we have:

\( p =\frac{Possible}{total}\)

And the correct way would be:

\( p =\frac{20}{20+55}=\frac{20}{75}\)

If we simplify we got:

\( p =\frac{4}{15}\)

And the error was because she use 55 as the total number of trials and that's not the size of the sample space and for this reason she got \(\frac{20}{55}\)

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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