The Johnson family is preparing to vacation at a famous amusement park. The park offers a family ticket discount package for an unlimited number of
rides and will charge an entry fee for each person in the family. The equation below represents the cost per person, C(x), as a function of the number of
people in the family, X.
C (x)= 160/x + 7.5
If each person in the Johnson family paid $27.50, how many people were in the family?
12 people
5 people
14 people
8 people

Step-by-step explanation:

2x+y=3

y=3-2x.....eqn (1)

x=3y+5.....eqn(2)

substituting the value of y from eqn 1

x=3(3-2x)+5

x=9-6x+5

x+6x=14

7x=14

x=14/7

x=2

substituting the value of x in eqn 1

y=3-2×2

y=3-4

y=-1

therefore,

x=2

y=-1

Answer:

16

Step-by-step explanation:

b x h is finding a square or rectangle, but since a triangle is half of a rectangle or square you can divide that by 2. So, 8 (b) x 4 (h) = 32, 32 / 2 = 16. Hope this helps! :D

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

C) 209 mm³ is a required answer.

Answer:

I think it might have been D, becoming a monarch, because he wanted to rule the world I guess.

Step-by-step explanation:

I recommend you put this under history instead of mathematics.

Answer:

d. How many animals weigh at least 15 pounds?

Step-by-step explanation:

The histogram displayed holds information about the number of animals who have a certain certain weight interval. Hence, answering questions about a point weight such as the number of animals whose weight is 4.9. This is a point value and such information given by the histogram.

Similarly, number of animals for intervals which aren't Cleary and explicly stated on the horizontal x - axis of the histogram cannot be determined by the histogram such as ; number of animals weighing less than 8 pounds and number of animals weighing between 5 and 10 pounds.

However, the number of animals weight less Than 15 pounds can be obtained from the histogram. This includes the sum give by the first, second and third bar. This is about (8 + 17 + 10) = 35 animals.

Answer:

We can’t solve for x and y

Step-by-step explanation:

Answer:

Uhmm We can't do that

Step-by-step explanation:

Answer:

990.56

Step-by-step explanation:

because, Distance=velocity× time

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex] \sqrt{56 + ( - 7)} \\ = > \sqrt{56 - 7} \\ \\ = > \sqrt{49} \\ = > 7 [/tex]

[tex] \sqrt{56 + ( - 7)} [/tex]

[tex] \sqrt{49} [/tex]

[tex] \sqrt{7²} [/tex]=±7

is your answer

Answer:

c

Step-by-step explanation:

Answer:

Can you add if you can add you have to add up every thing and the answer will be

Answer:

here

h=x,p=15,b=9

using pythagoras theorem

h^2=p^2+b^2

x^2=15^2+9^2

x^2=225+81

x^2=306

x=3 √34 is the answer

Answer:

solution given:

Area of triangle ABC=½b×h=½×18×21=189km²

Area of square DEFG=l²=9²=81km²

Area of rectangle DHIJ=l×b=4×13=52km²

Total area =189+81+52=322 square kilometers.

Answer:

[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]

Step-by-step explanation:

refer the attachment

we have a triangle,a rectangle and a square

in order to figure out the area of the total figure we need to figure out the area the attached figure first

the triangle has a base of 18 km and a height of 13+6+2=21km

thus,

the area of the triangle is

[tex] \displaystyle \frac{1}{2} \times 18 km\times 21km[/tex]

reduce fraction:

[tex] \displaystyle 9 km\times 21km[/tex]

simplify multiplication:

[tex] \displaystyle 189 km ^{2} [/tex]

the rectangle has a length of 13km and a width of 4km

thus,

the area of the rectangle is

[tex] \displaystyle 13km \times 4km[/tex]

simplify multiplication:

[tex] \displaystyle {52km}^{2} [/tex]

the length of every sides of the square is 9km

thus,

the area of the square is

[tex] \displaystyle {(9km)}^{2} [/tex]

simplify square:

[tex] \displaystyle {81km}^{2} [/tex]

[tex] \rm\displaystyle A _{ \text{total}} = A_{ \text{triangle}} + A_{ \text{rectangle}} + A_{ \text{square}}[/tex]

substitute:

[tex] \rm\displaystyle A _{ \text{total}} = 189 {km}^{2} + 52 {km}^{2} + 81 {km}^{2} [/tex]

simplify addition:

[tex] \rm\displaystyle A _{ \text{total}} = 322 {km}^{2} [/tex]

Answer:

6 cm

Step-by-step explanation:

1 cm : 9 meters -->  1cm/9m

? cm : 54 meters -->  ?cm/54m

[tex]\frac{1}{9}=\frac{?}{54}; 54*\frac{1}{9}=?;6=?[/tex]

Answer:is 6cm

Step-by-step explanation:

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.

Step-by-step explanation:

Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:

[tex]2\cdot x + y = 6[/tex] (1)

[tex]a\cdot x + b\cdot y = 9[/tex] (2)

The following condition must be observed:

[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)

After some quick operations, we find the following information:

[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.

Answer:

What kind of "parallelogram" is that?

1344 in.²

Step-by-step explanation:

8 in. · 14 in. · 12 in.

1344 in.²

Answer:

Equilateral triangle

Step-by-step explanation:

Equalateral triangles has 3 60 degre angles, and 3 congruent sides

Step-by-step explanation:

hope it is helpful to you

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Answer:

495 ft²

Step-by-step explanation:

To answer this, you need to subtract the area of the rhombus from the area of the square.

SQUARE:

A = bh

25x25=625

RHOMBUS:

A = bh

13 x 10 = 130

625 - 130 = 495

Answer:

Entire perimeter = 169in

Step-by-step explanation:

add all the inches up

The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.

Given the polygon with the measure of its exterior :

The perimeter of the polygon is the sum of the exterior sides of the figure given :

Therefore, the perimeter of the polygon is 169 inches .

Learn more on perimeter : https://brainly.com/question/19819849

#SPJ2

Answer:

1. (7x+2)

2. 2 - 3x/4

Answer:

50 miles

Step-by-step explanation:

I dont really have a step by step explanation, sorry

Answer:

1 hour

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

subject?

Answer:

x = 25.

Step-by-step explanation:

Original cost per person:: 2000/x

Changed cost per person:: 2000/(x-5)

---------------------------

Equation:: changed - original = 20

2000/(x-5) - 2000/x = 20

2000x - 2000x + 2000*5 = 20x(x-5)

10000 = 20x^2-100

----

500 = x^2 - 5x

------------------

x^2 - 5x - 500 = 0

(x+20)*(x-25) = 0

-----

Only positive root makes sense ====> x = 25.

Answer:

35

Step-by-step explanation:

Area is multiplication! Volume is adding so just add!

Answer: Yes, they are independent because P(Texas) ≈0.45 and P(Texas/Brand A)≈0.45