A group of friends wants to go to the amusement park. They have $387.75 to spend on parking and admission. Parking is $5.50, and tickets cost $34.75 per person, including tax. How many people can go to the amusement park?

Answer:

Step-by-step explanation:

[tex]y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}[/tex]

Answer:

5 divided by 8 is 0.625

1 divided by 2 is 0.5

3 divided by 5 is 0.6

7 divided by 4 is 1.75

4 divided by 6 is 0.666666666 or 0.6 with the underline if u print this paper out or 0.666

Step-by-step explanation:

u will have to do the model part but i hope i helped

Peter invested $1860 for 10 months at a rate of 3.8%. How much interest did he earn?????

He would end up with 18,600

Answer: he earned 10 percent intrest.

Answer:

[tex]a {b}^{3} \sqrt[4]{5} [/tex]

Answer:

No

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

2 + 5 is only equal to 7

not greater than 7

Step-by-step explanation:

so 26 minus 4 is 22 for letters so 22 times 22 times 22 times 22 and thats for letters and for numbers its 10 x 10 x 10 x 10 i dont really umderstand the question but you can have 244256 possible license plates there

Answer:

$5.30

Step-by-step explanation:

23.85/9=$2.65

2.65*2=$5.30

Answer:

I don't know if this is right but I got $5.30.

Step-by-step explanation:

I did 23.85/9 to get how much each pane is than I multiplied by 2 to get the cost of the 2 new panes.

23.85/9= 2.65

2.65*2 = 5.3

Answer:

sorry dont know 4 or 5 8. 9 but

6. 4 %

7. 60%

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Break the shape into regular shapes and find the area and then add them all up: 12+6+24=42

Answer:

90

Step-by-step explanation:

450-360 = 90

Simple subtraction.

Answer:

Area of a semicircle = ½ × πr²

= ½ × 3.14 × (8)²

= 3.14 × 4 × 8

= 100.48 cm²

Answer:

2y + 18

Step-by-step explanation:

8 + 2(y + 5)

8 + 2y + 10

2y + 18

Step-by-step explanation:

The exact question is as follows :

Given - The student who traveled to 3 states visited 6 new states during a vacation.

To find - Does increasing the 3 to 6 change the​ median? If​ so, how?

Proof -

Yes,

If we increase the 3 states to 6 states, it changes the median

Because

The median of the first 3 states is the middle state.

For example -

If we have 3 states X, Y, Z

Then the median is the state Y

Now,

The median of 6 states is the average of the 2 middle states.

For example -

If we have 6 states

X, Y, Z, U, V, W

Then

The median is not explicit.

Median is the average of the two middle states, Z and U.

And

Average of Z and U =  half of the sum of Z and U.

i.e.  (Z + U)/2.

And we can see that,

Median of 3 States is not equal to Median of 6 states

i.e. Y is not equal to (Z + U)/2.

So,

We can say that,

Increasing the state 3 to 6 changes the​ median.

Answer:

146

Step-by-step explanation:

replace every x with -5

Answer:

B. 5i + 12b < 100

Step-by-step explanation:

I used process of elimination on to figure this one out.

I first eliminated A because I knew the i should be next to the 5. I know this because i (ink) costs 5 dollars each.

I next eliminated D because this equation is looking to find the sum of the ink and the new brushes, not the ink plus the total cost equaling the brushes.

Finally, I eliminated C because Emily only has $100, so the cost of the ink (i) and the brushes (b) must NOT excede 100 dollars. From this, I can see that C states that the sum exceeds Emily’s $100 budget

This leaves us with B as the final answer

Hope this helps! Have a lovely rest of your day!

Answer:

Q1: E N W G Y U

Q2: R D S Q

Q3: X

Q4: B M F P L

1. N 3. L 5. Q 7. W

2. G 4. B 6. E 8. Y

9. S: (-5,+5) 11. D: (-4,+2) 13. M: (+1,-5) 15 X: (-7,-8)

10. R: (-1,+3) 12. U: (+1,+1) 14. P: (+8,-4) 16. F: (+7,-6)

I can't add the points on the graph tho sorry:(

Answer:

D. 10,699

Step-by-step explanation:

The given data for the Population Count Per Year is presented as follows;

Number of Years (x); 1, 2, 3, 4, 5, 6, 7, 8

[tex]\begin{array}{ccccccccc}Number \ of \ Years \ (x)&1&2&3&4&5&6&7&8\\Population \ (y)&1,440&1,728&2,074&2,488&2,986&3,583&4,300&5,160\end{array}[/tex]The data regression equation is y = 1,200·(1.2)ˣ

Based on the regression equation for the data, the predicted value of the town's population after 12 years is given by substituting x = 12 as follows;

After 12 years, y = 1,200 × (1.2)¹² ≈ 10,699.32

Therefore, the option which is the best prediction is 10,699.

Answer:

the triangular prism is ⅓ the size of the rectangular prism. they have the same concept equation of:

rectangular prism - length×width×height

triangular prism - ½×length×width×height

they both have to multiply the base and height to find the volume

Answer:

Finding the volume of a rectangular and triangular prism are alike, one way is they use similar formula base x length x height. Another way is They both have rectangle in the prism.

Step-by-step explanation:

People firstly believe that the planets move in a circular orbit until Newton came up with his hypothesis by inventing calculus so that we could understood and calculated planetary orbits and their accuracy.

Explanation:

Everyone assumed the planets were perfect circles until Newton came up with an idea. Slowly people would make maps of the orbits that added circles on circles, and they could never really explain about the movement of the planet. They simply say that planets move on circles but they lacked the math to explain or prove it. Then Newton came up with an idea of inventing calculus so that we could understood and calculated planetary orbits and their accuracy.

Firstly people used their observations and say that the orbits looked like circles, then they developed their models and did the math, and proposed their hypothesizes which were wrong, until Newton came along and tried to match a model that used elliptical orbits and invented the math that allowed him to make predictions with it. His model worked for most planets.

However he could not explain about the planet Mercury for instance since it was a very strange orbit. Then after the Einstein's theory of General Relativity he could also explain very deeply about it.

Scientists and Astronomers made hypothesizes that there was another planet orbiting too close to the sun to see with telescopes, called Vulcan, that explained mercury's orbit before Einstein's theory. Then long after we had telescopes which was good enough to see if there was a planet orbiting closer to the sun than mercury.  

Answer:440

Step-by-step explanation:

Answer:

0 to 2 minutes - Accelerating

3 to 4 minutes - Constant

6 to 8 minutes - Decelerating

9 to 11 minutes Accelerating

hope i have helped u

Step-by-step explanation:

Answer:

y = 0.75x + 45

Step-by-step explanation:

x would be the amount of games played and y would be the total money spent.

Answer:

y= 0.75x+45

Step-by-step explanation:

y= total amount paid by guest

x = # of games

0.75 x = $0.75 paid per game

45= minimum charge of 45 to enter park

Answer:

31 cents

Step-by-step explanation:

do 2.50 divided by 8 which is 31 cents per inch