All categories

2 years ago

There are 150 adults and 225 children at a zoo. If the zoo makes a total of $5100 from the

Mathematics

1 answer:

fenix001 [56]2 years ago

8 0

Answer:

It costs $25 for a parent and $6 for a child

Step-by-step explanation:

Let x be the cost it takes for an adult to enter, and y be the cost it takes for a child to enter then...

x+y=31

150x+225y=5100

We can write the first equation in terms of x by subtracting y from both sides...

x=31-y

Now, we can solve the system of equations by substitution (substitute 31-y for x)...

150(31-y)+225y=5100

Distribute the 150 to the terms inside of the parentheses

150(31)-150(y)+225y=5100

4650-150y+225y=5100

Combine like terms

4650+75y=5100

Subtract 4650 from both sides

75y=450

Divide both sides by 75

y=6

Plug 6 back in for y to solve for x:

x=31-y=31-6=25

It costs $25 for a parent and $6 for a child

You might be interested in

What is the maximum value of P = 4x + 2y, given the constraints on x and y listed below?

Solnce55 [7]

P = 4x + 2y

additional info.
x+2y < 10
y < 2
x > 0
y > 0

y can only be 0, 1, and 2.

x + 2(0) < 10 = x < 10
x + 2(1) < 10 = x + 3 < 10 = x < 10 - 3 = x < 7
x + 2(2) < 10 = x + 4 < 10 = x < 10 - 4 = x < 6

x = 10 ; y = 0 : P = 4(10) + 2(0) = 40 + 0 = 40
x = 7 ; y = 1 : P = 4(7) + 2(1) = 28 + 2 = 30
x = 6 ; y = 2 : P = 4(6) + 2(2) = 24 + 4 = 28

The maximum value of P is 40. Where x is 10 and y is 0.

5 0

3 years ago

Read 2 more answers

In parts (a) through (e) below, mark the given statement as True or False. Justify each answer. All vectors are in set of rea

Oxana [17]

Answer:

(c)

"The given statement is true, by definition of length of a vector $v$ , $||v|| = \sqrt{v\bullet v}$ "

Step-by-step explanation:

(a) $v \bullet v = || v ||^2$

That is completely correct Remember that if $v = (x_1,x_2,x_3)\\$ then

$v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2$

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector $v$ , $||v|| = \sqrt{v\bullet v}$ "

5 0

3 years ago

Someone help, please and thank you

taurus [48]

Answer:

6√2

Step-by-step explanation:

Given,

θ = 45

Opposite side = 6

To find : - Hypotenuse

Formula : -

sin θ = Opposite side / Hypotenuse

[ The value of sin 45 = 1 / √2 ]

sin 45 = 6 / Hypotenuse

1 / √2 = 6 / Hypotenuse

Cross multiply,

Hypotenuse = 6√2

8 0

2 years ago

Read 2 more answers

Answer the question and answer it down below

Sergio039 [100]

Answer:

4:24 p.m.

Step-by-step explanation:

Figure out how often the buses leave at the same time. This is the same as the least common multiple (LCM) of how often they leave the stadium.

The LCM is found by multiplying the maximum number of each prime factor found in any of the numbers.

The prime factors of a number are found by dividing it by whole numbers until the factors are all prime. Prime numbers only have the factors 1 and itself.

6 = 2 X 3

8 = 2 X 2 X 2

The greatest times 2 repeats is three times.

The greatest times 3 repeats is one time.

2 X 2 X 2 X 3 = 24

The LCM is 24, and the buses have the same leaving times every 24 minutes.

Find 24 minutes after 4:00 p.m. Change the minutes only, which are the numbers right of the colon : .

The buses will next leave together at 4:24 p.m.

5 0

2 years ago

From the given equation

Katarina [22]

Answer:

See attached

The table:

x | -3 | -2 | -1 | 0 | 1 | 2 | 3
y | -5 | -3 | -1 | 1 | 3 | 5 | 7

The graph is pictured

The y-intercept has coordinates of (0, 1)

5 0

3 years ago