what rational number is equivalent to 6.121212121212?

The zoo charges approximately $4.42 for each adult and $0.92 for each child.

To determine the cost of an adult ticket, we can subtract the cost of the children's ticket from the total cost. Let's set up a system of equations using variables for the cost of an adult ticket (a) and the cost of a child ticket (c):

a + 2c = 8.75

a + 5c = 19.75

Multiplying the first equation by 5 and subtracting the second equation from it, we get:

5a + 10c - a - 5c = 43.75 - 19.75

4a + 5c = 24

Now we can solve this system of equations to find the values of 'a' and 'c'.

Multiplying the first equation by 4 and subtracting the second equation from it, we get:

4a + 8c - 4a - 20c = 35 - 24

-12c = -11

c = -11 / -12

c = 11 / 12

Substituting the value of 'c' back into the first equation, we get:

a + 2 * (11 / 12) = 8.75

a + 11 / 6 = 8.75

a = 8.75 - 11 / 6

a = 53 / 12

So, the zoo charges approximately $4.42 for each adult and $0.92 for each child.

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Answer:

D )Expression for height to ride is h ≥ 52

Step-by-step explanation:

Given : The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.

To find : Which of the following expressions shows the height to ride.

Solution : We have given that

Minimum height of spinner = 52 inches.

It state that  height of spinner for riding at least  52 it mean it must be 52 or greater than 52

Therefore, D )Expression for height to ride is h ≥ 52

Answer:  Option 'D' is correct.

Step-by-step explanation:

Since we have given that

The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.

So, Let the height to ride be 'h'.

We have mentioned that value of h is must be greater than or equal to 52 inches.

So, it becomes,

[tex]h\geq 52\ inches[/tex]

Hence, Option 'D' is correct.

Answer:

Brady needs to earn a 95% on the final test

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Before we can actually solve this we need to create a formula that calculates the grade of the last test in order to get an average of 80%. Since he got a 77% average for his first 5 tests, we can multiply 0.77 by 5, add the final test and then divide by the total amount of tests taken. Like so,

[tex]0.80 = \frac{(0.77*5)+x}{6}[/tex]

[tex]0.80 = \frac{3.85+x}{6}[/tex] .... multiply both sides by 6

[tex]4.8 = 3.85+x[/tex] ... subtract both sides by 3.85

[tex]0.95 = x[/tex]

Finally, we can see that Brady needs to earn a 95% on the final test in order to increase his overall average to 80%.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5.3 divided by 0.2 is equal to 26.5.

To calculate 5.3 divided by 0.2, you can divide the numerator (5.3) by the denominator (0.2). In this case, 5.3 divided by 0.2 is equal to 26.5.

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the answer IS A. got it right on e2020

The correct conditional statement in if-then form for the given statement is 'If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular', which is option (A).

The given statement can be written as a conditional statement in if-then form: 'If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular'. This represents the option (A). Here, the 'if' part presents the condition of lines on a coordinate plane having opposite reciprocal slopes, and the 'then' part gives the conclusion that they are perpendicular. It's called conditional since the conclusion depends on the condition being true.

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The value of p in this equation 3 + 17p = -32 - 11p is -5/4. To find the value of p, we need to solve the equation: 3 + 17p = -32 - 11p

First, let's gather all the terms involving p on one side of the equation:

17p + 11p = -32 - 3

Now, combine the p terms:

28p = -35

Now, isolate p by dividing both sides of the equation by 28:

p = -35 / 28

To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 35 and 28, which is 7: p = -5/4

So, the value of p is -5/4.

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The explanation provides a step-by-step process to determine the minimum trips required for the miners to cross the river.

To determine the minimum number of trips required for the miners to cross the river, we need to carefully consider the constraints given.

First, A and B can cross together because the maximum combined weight of their cargoes is 90 kg (40 + 50) which is less than 100 kg.

Then, A returns alone, carrying B's cargo, leaving B and C on the other side. B and C cross together as the combined weight of their cargoes is 40 kg (20 + 20) which is less than 100 kg.

Finally, B returns and takes A's cargo, crossing with C's cargo. In total, the minimum number of trips needed is 9 (Option A).

Answer:

its 4

Step-by-step explanation:

Answer: There are 3 DVD s that can be bought with under $100.

Step-by-step explanation:

Since we have given that

Cost of DVD = $15.99

Cost of Shipping = $ 9.99

Total cost per DVD would be

$15.99 + $9.99 = $ 25.98

Amount he has to spend no more than $ 100.

So, number of DVDs would be

100 ÷ 25.98 = 3.84

Hence, there are 3 DVD s that can be bought with under $100.

Chris can order 3 DVDs over the internet, if he spent $100.    

Given here,  

Cost of DVD = $15.99  

Shipping Cost = $ 9.99

Amount spend = $ 100.

Total cost per DVD,  

$15.99 + $9.99 = $ 25.98

So, number of DVDs would be buy,  

100 ÷ 25.98 = 3.84

Therefore, Chris can order 3 DVDs over the internet, if he spent $100.

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The perimeter of the triangle is 3 unit.

A triangle is a polygon with three sides, angles and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

A polygon is called regular if it has all sides equal.

The figure shows a triangle.

The two sides of the triangle are 5-2x and -4x+9

When all the sides of the triangle is equal, it is called an equilateral triangle.

5-2x = -4x +9

Taking the like terms on one side,

-2x +4x = 9 -5

2x = 4

x = 2

The measure of each side is,

5 - 2*2 = 1

-4x +9 = -4 * 2 +9 = 1

The side length is 1 unit.

The perimeter of a triangle is the sum of all sides, as all the sides are equal, the perimeter is equal to 3 * side.

Perimeter = 3 * 1

Perimeter = 3 unit.

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Answer:

Naomi's father is 81 inches tall.

Step-by-step explanation:

Naomi is two-thirds as tall as her father.

Let "x" be the Naomi's father height.

Naomi is 54 inches tall.

[tex]\frac{2}{3}.x = 54[/tex]

We need to solve for x.

To solve for x, multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex].

The reciprocal of [tex]\frac{2}{3}[/tex] is [tex]\frac{3}{2}[/tex].

[tex]\frac{3}{2} . \frac{2}{3} . x = 54.\frac{3}{2}[/tex]

x = [tex]54.\frac{3}{2}[/tex]

x = 27.3

x = 81

So, Naomi's father is 81 inches tall.