Use a ~ 3.14 and round your answer to the nearest hundredth.

The admission fee for the zoo and for the state park is given as follows:

For the zoo, the costs are divided as follows:

20 students are going to the zoo, hence the total cost spent at the zoo is given as follows:

20(2x + 3.25) = 40x + 65.

For the state park, the costs are divided as follows:

25 students are going to the state park, hence the total cost spent at the state park is given as follows:

25(x + 6.50) = 25x + 162.50.

The costs spent at both parks are the same, hence the value of x can be obtained as follows:

40x + 65 = 25x + 162.5

15x = 97.5

x = 97.5/15

x = 6.5.

Hence the admission fees are given as follows:

The table is given by the image presented at the end of the answer.

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Answer:

24d^5

Step-by-step explanation:

An expression to represent the sum of their ages is as follows.

g = 14 + L

If the ratio of the ages of X and Y is p:q and their sum is X, then the following formula can be used to calculate Y's age: Age of Y = Y/Total Ages x Total Ratios. Age of Y = (p+q) q x A.

Assume that L is Louannel's sister's age, m is Mark's age, and g is Gregory's age.

Gregory's age difference with his cousin Mark, who is 20 years older (m).

∴ g = 20 + m            .............(1)

Also given that Mark is 6 years younger than his sister Louanne(L)

∴ m = L - 6                ............(2)

Now, substituting m = L - 6 from (2) in (1),

∴ g = 20 + L - 6

∴ g = 14 + L

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Answer:

X of M is 6, Y of M is 4, Pair is (6,4)

Step-by-step explanation:

M = 6

M = 4

M (6,4)

Answer:

rreflextion across x the reflection across y

Side D and B are both congruent

Step-by-step explanation:

9514 1404 393

Answer:

  x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

  (x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

  (x -2)^2 -(√2)^2 = 0

  x^2 -4x +4 -2 = 0

  x^2 -4x +2 = 0 . . . . the equation you're looking for

Answer: (2x+6y)^2 = (2x+6y)(2x+6y) = 4x^2 +12xy + 12yx + 36y^2 = 4x^2 + 24xy + 36y^2

So the result of (2x+6y)^2 is 4x^2 + 24xy + 36y^2

Answer:

B

Step-by-step explanation:

We have to look at the full dot

Answer:

6 Students stayed in class

30 Students in Total

Step-by-step explanation:

Since there are 8/10 people on the trip, you divide the numerator(8) by 24

24 divided by 8 is 3. Also 3 x 8 is 24 so its proper

3 x 2 is 6 and 6 + 24 is 30

30 is 10/10 in this question so 6 is the answer for those who stayed in class and there is 30 in total

Answer:

see explanation

Step-by-step explanation:

under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

C (1, 9 ) → C' (- 9, 1 )

D (4, 9 ) → D' (- 9, 4 )

E (0, 3 ) → E' (- 3, 0 )

Answer:

18 and 21

Step-by-step explanation:

Let the smaller number = 3x

Let the larger number =  3x + 3

The three and the plus 3 insure that the numbers are multiples of 3 and are consecutive.

3* (3x + 3) = 7/10 * 5 (3x)       Multiply both sides by 10

30*(3x + 3) = 7 * 5 * 3x          Remove the brackets

90x + 90 = 7 * 5 * 3x             Combine the right

90x + 90 = 105x                    Subtract 90x from both sides.

-90x             -90x

           90 = 15x                     Divide by 15

x = 90/15

x = 6

Let's see if it works.

3*(3x + 3) = 3*(18 + 3) = 3 * 21 = 63

7/10 * 5 *3x = 7/10 * 5 * 3*6 = 630 / 10 = 63

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

Equivalent ratios are two ratios with the same value. By multiplying or dividing the two amounts by the same number, you can determine the equivalent ratio. Finding equivalent fractions follows the same procedure.

The ratio formula can be used to represent a ratio as a fraction. The ratio formula is given as a:b = a/b for any two quantities, let's say a and b.

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Answer:

400= 2 x 2 x 2 x 2 x 5 x 5 = 2/4 x 5/2

The correct option for the given linear equation is option (B).

What is a linear equation?

An equation is said to be linear if the maximum power of the variable is always 1. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The given equation is y =20x + 35

       y = total amount of money

       x = number of months the customer has been renting the storage unit

A) If x = 355

        y = 20 * 355 + 35 = $7135

    This is not the correct option.

B) If x = 16

      y = 20*16 + 35 = $355

     This is the correct option.

C) if x = 320

      y = 20 * 320 + 35 = $6435

      This is not the correct option.

D) If x = 16

       y = 20*16 + 35 = $355

      This is not the correct option.

Therefore the correct option for the given linear equation is option (B).

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Answer:

LCD = 24xyz

Step-by-step explanation:

Answer:

24

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Third one

−10×3−4

Step-by-step explanation:

-30-4

-34

Answer:

-10 · 3 - 4

Step-by-step explanation:

20 - (-3) + 51 ÷ (-3) = 20 + 3 + 51 ÷ (-3) = 20 + 3 - 17 = 6 no

-2 - (-8) + 7 + (-11) = -2 + 8 + 7 - 11 = 2 no

-10 · 3 - 4 = -30 - 4 = -34 yes!

-4 · (-3) + 22 = 12 + 22 = 34 no

Answer:

Simplified = 1.7×109

1.7×109 = 185.3

Reading a math word problem through to the end will help you comprehend what you need to do in order to solve it. After reading it, you may determine which components of the issue that need to be resolved are the most important and which are not.

There are few basic steps to be followed while solving any mathematics problem:

1. Read and understand the problem.

2. Identify what is given and what is needed to solve the problem.

3. Choose an appropriate strategy to solve the problem.

4. Carry out the strategy.

5. Check your answer to make sure it is correct.

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Answer:

rate of change = 5

Step-by-step explanation:

the slope m gives the measure of the rate of change of the function

calculate the slope m using the slope formula

m = [tex]\frac{y_{2-y_{1} } }{x_{2-x_{1} } }[/tex]

with (x₁, y₁ ) = (3, 38) and (x₂, y₂ ) = (1, 18) ← 2 ordered pairs from the table

m = [tex]\frac{18-38}{1-3}[/tex] = [tex]\frac{-20}{-2}[/tex] = 5

then rate of change = 5

Answer:

∠x = 60°

Step-by-step explanation:

first:

∠a = 60° was given

the sides on each side of ∠a are equal so their opposite angles are equal also.

The sum of the interior angles of any triangle is 180°

The angles opposite ∠a are (180° - 60°)/2 = 60° each

Second:

∠b = 60° was given

so the angles opposite ∠b are also 60° each

Third:

the 2 angles opposite x are both 60° each because they are both vertical angles to 60°

That leaves ∠x  to be 180° - 60° - 60° = 60°

Answer:

12 possible outcomes

Step-by-step explanation:

The equation to find the possible outcomes is:

possible outcomes  x  total

We know she picks 1, so we have

1 x 12 = 12 possible outcomes

So, there are 12 possible outcomes

Answer:

14km

Step-by-step explanation:

The radius of the sphere is 9 centimeters.

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

So,

surface area of the sphere = 4πr²

324π cm² = 4πr²

Simplifying,

r² = 324π/4π

r² = 324/4

r² = 81

r = 9

Therefore, the radius is 9 centimeters.

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Answer:

This is super simple! No need to worry.

Step-by-step explanation:

Just add the two results from the aquarium and amusement park for both the teacher and the students!

Soooo it'd look something like this lol

8 + 32 = 40 students were polled

5 + 5 = 10 teachers were polled

Answer:

the answer is n ≥ -49

here are the steps for solving-

the problem Is like  n/7+3 ≥ -4

1. First subtract 3 from both sides. After doing that, the inequation should be Like This:

n/7 ≥ -7

2. since 7 is in Division form, when it goes to RHS, You multiply.

So -7 times 7 Is -49

so the answer is n≥ -49

The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.

The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.

So, if we square the length of the ladder (6^2 = 36)

The length of the base (3^2 = 9),

and add them together, then take the square root of that, we get the height of the wall.

sqrt(36+9) = sqrt(45) = 3*sqrt(5)

so the ladder is 3√5 feet high up the wall.

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