A roller coaster has 10 carts that will seat up to 4 people each. If 26 people are seated in the carts and NO carts are empty, what is the greatest possible number of carts that could be filled with 4 people?

Answers

Answer 1
Answer: To maximize the number of carts filled with 4 people, you can start by filling as many carts as possible with 4 people and then see how many people are left.

Each cart can seat up to 4 people, and you have 26 people in total. So, you can fill as many carts as possible with 4 people:

26 / 4 = 6.5

You can fill 6 carts completely with 4 people each. However, you will have 2 people left.

Now, you can't fill another complete cart with those 2 people because each cart can only seat 4. Therefore, you can't completely fill any more carts.

So, the greatest possible number of carts that could be filled with 4 people is 6.

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What is the graph line for this problem? x+3y=9
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Skate Land charges a $75 facility usage fee for a birthday party rental and $7 per person. The cake for the party has already been ordered and costs $47. The Smith family wants to spend less than $250 for the entire birthday party. Using the inequality 7p+75+47< 250, what would be the largest amount of people they could have at the party? Let p = the number of people invited.

HELP What function models the data shown on the graph?


f(x) = 2(x – 5)(x – 1)

f(x) = –2(x – 5)(x – 1)

f(x) = 2(x + 5)(x + 1)

f(x) = –2(x + 5)(x + 1)

Answers

It looks like the parabola are going down, so  the coefficient should be negative,
B or C,
then we see that the parabola has x -intercepts (1,0) and (5,0)
these roots should be written as multiples 
x=1, so x-1=0
and 
x=5, so x-5=0,
so (x-1)(x-5) and negative first coefficient -2 at the same time. 
We can see only in the 
B. f(x) = –2(x – 5)(x – 1)

Answer:

b

Step-by-step explanation:

Name the missing numbers from the function table and write the function rule.

Answers

3rd one down on x is 6.because they are all subtracting 12.same goes for the last one on y.it is -22 because you are subtracting 12 from -10

Philip played a board game, and he drew 4 straight cards that read, “Go back 8 spaces.” What is the change in Philip’s position on the game board?

Answers

The change in Philip's position on the game board is 32 spaces backward.

What is the change in Philip’s position on the game board?

Each card says, "Go back 8 spaces," so for each card drawn, Philip moves back 8 spaces on the game board. Since he drew 4 cards, we can calculate the total change in his position as follows:

Change in position = Number of cards drawn * Spaces moved back for each card

Change in position = 4 * 8

Change in position = 32

So, the change in Philip's position on the game board is 32 spaces backward.

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16. Dilakukan pengukuran volume benda yangberbentuk tabung. Jika jari-jari tabung =
0,40 m dan tinggi tabung = 50 cm, volume
tabung tersebut adalah ....
A. 0,2512 m³
B.
EVC.
C.
D.
2,512 m³
25,12 m³
251,1 m³

Answers

It will be letter A I believe

Determine if the system has one solution, infinitely many solutions, or no solution. x=-7y+34 x+7y=32

Answers

Answer:

NO Solution

Step-by-step explanation:

First, from the first equation let's move the Y term to the other side to match with the second equation.

x=-7y+34\n\nx(+7y)=-7y+34 (+7y)\n\nx+7y=34

Now lets compare the two equations.

x+7y=34\nx+7y=32

Since the left sides are the same but the right sides of the equations aren't, we can see there are no solutions to this system.

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If F(x)=3x-1 and g(x)=2x+5a. (F o g)(x)
b. (g o f)(x)
c. (f o g)(-2)
d. (g o f)(-2)

Answers

( fog )(x) = f(g(x)) =3*g(x) - 1 = 3(2x+5) -1 = 6x + 15 - 1 = 6x + 14;
( gof )(x) = g(f(x)) = 2 *f(x) + 5 =2(3x-1) + 5 = 6x-2 + 5 = 6x + 3 ;
( fog )(-2) = 6*(-2) +14 = -12 + 14 = 2;
( gof )(-2) = 6*(-2) + 3 = -12 + 3 = - 9.