what is the reciprocal of 60

Answer:

(20 - 6c)

Step-by-step explanation:

Taylor buys bus tickets = 6

Let the cost of the one ticket = c

Cost of 6 tickets = $6c

If Taylor has paid $20 for these 6 tickets then the change he will receive = $20 - $6c

Therefore, the expression to calculate the change Taylor will receive will be

(20 - 6c)

Answer:

Jan run 2 laps every minute

Step-by-step explanation:

To solve for x and y in a right triangle, use the Pythagorean Theorem (x² + y² = h²) and trigonometric relationships (x = hcosΘ and y = hsinΘ). The Isosceles Triangle Theorem, which states the base angles of an isosceles triangle are equal, isn't directly used to solve for x and y.

In solving for x and y using isosceles triangle theorems, we often utilize the Pythagorean Theorem and trigonometric relationships. Since this involves a right triangle, where x is the adjacent side, y is the opposite side, and h is the hypotenuse, we can use the formula for the Pythagorean Theorem, x² + y² = h².

To find x, we rearrange the trigonometric definition of cosine (cosΘ= x/h) to get x = hcosΘ. Similarly, we can find y using the definition of sine (sinΘ = y/h) and get y = hsinΘ. These solutions use trigonometry.

Keep in mind, the Isosceles Triangle Theorem states that the base angles of an isosceles triangle (a triangle with at least two equal sides) are equal. However, this theorem isn't directly involved in solving for x and y. Instead, the trigonometric relationships and Pythagorean Theorem solves for these values within a right triangle.

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Answer: I say c too. I trust you with that answer.

Step-by-step explanation:

The multiplier for the number 2 / 9 will be 3 / 3.

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The given number is 2 / 9. The multiplier for the number will be calculated as below:-

2/9 = 6/27

( 2 / 9) x ( 3 / 3 ) = ( 6 / 27)

( 6 / 27 )= ( 6 / 27 )

Therefore, the multiplier for the number 2 / 9 will be 3 / 3.

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The tens facts approach simplifies subtraction by reducing numbers to multiples of ten. In the given problem the difference of 14-6 is 8 and this can be represented with tens facts as 10-2=8.

The question pertains to the calculation of the difference between numbers using tens facts. Tens facts are a strategy applied in subtraction operations to simplify problems by making them multiples of ten. Here, the problem involves 14-6. In order to represent this using tens facts, the target is to reduce the first number (14) to a multiple of ten, which is 10 in this case. You can achieve this by subtracting the 4 from 14 to get 10. It's the same total of 4 that we also subtract from the 6 to arrive at our answer of 2. So, it can be shown as;

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Answer:

The answer is  - 7/30

Step-by-step explanation:

LCM between 10 and 15 is 30 so that would be your denominator.

The subtract: 7-14 = -7 so that would be your numerator.

HOPE THIS HELPS!!! :D

The difference between the numbers of fraction 7 / 10 and 14 / 15 would be 7 / 30.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

The number of the fraction are;

⇒ 7 / 10 and 14 / 15

Now,

Find the difference between the fraction 7 / 10 and 14 / 15 as;

The mathematical expression is,

⇒ 14 / 15 - 7 / 10

Make denominator same to solve the fraction as;

LCM { 10  , 15 } = 30

Therefore, We get the expression ;

⇒ 14 / 15 - 7 / 10

⇒14 × 2 / 15 × 2 -  7 × 3/ 10 × 3  

⇒ 28 / 30 - 21 / 30

⇒ (28 - 21) / 30

⇒ 7 / 30

Thus,  14 / 15 - 7 / 10 = 7 / 30

Therefore, The difference between the fraction of numbers 7 / 10 and 14 / 15 would be 7 / 30.

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3 1/2 = 7/2

7/2 / 4 = 7/8

 it changed by -7/8 feet = 10 1/2 inches each month

The amount of changes of water level in a lake for 1 month will be

⇒ - 7/8 feet

What is mean by Fraction?

The fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

In 4 month long drought,

The changes of water level in a lake = - 3 1/2 feet.

Now,

Find the changes in water level for 1 month as;

Since,

The changes of water level in a lake for 4 month = - 3 1/2

After change the mixed fraction in a improper fraction as;

- 3 1/2 = - 7/2

Thus, The changes of water level in a lake for 4 month = - 7 / 2

So, The changes of water level in a lake for 1 month = - 7 / 2 ÷ 4

After divide we get;

The changes of water level in a lake for 1 month = - 7 / (2 x 4)

                                                                           = - 7 / 8

Therefore,

The amount of changes of water level in a lake for 1 month will be

⇒ - 7/8 feet

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3/8 = 0.375

1/4 = 0.25

0.375 is greater than 0.25

 so 3/8 is greater than 1/4

Answer:

$6.50/candle

Step-by-step explanation:

The unit price here is the total price divided by the number of candles, or

$19.50

---------------- = $6.50/candle

3 candles

Answer:

The smallest number of people who can be in the marching band are 30.

Step-by-step explanation:

The high school marching band rehearses with either 6 or 10 members in every line.

To get the smallest number of people who can be in the marching band, we will find the LCM of 6 and 10.

6 = 2 x 3

10 = 2 x 5

The LCM is 2 x 3 x 5 = 30.

Hence, the smallest number of people who can be in the marching band are 30.

If the students are 6 in each line, then there will be 5 lines in total.

If the students are 10 in each line, there will be 3 lines in total.

A real-world situation that could be modeled by the equation 8+2x=6x is a scenario where you have a certain amount of money and you are earning a fixed amount of money per hour. By solving the equation, you can determine how many hours it will take for your earned money to equal the given amount of money. To solve the problem, isolate the variable x by subtracting 2x from both sides and dividing both sides by 4.

A real-world situation that could be modeled by the equation 8+2x=6x is a scenario where you have a certain amount of money and you are earning a fixed amount of money per hour. Let's say you have $8 and you are earning $2 per hour. On the other side, you have $6 and you are earning $6 per hour. By solving the equation, you can determine how many hours it will take for your earned money to equal the given amount of money.

To solve the problem, you need to isolate the variable x. Start by subtracting 2x from both sides to get 8 = 4x. Then, divide both sides by 4 to get x = 2. Therefore, it will take 2 hours for your earned money to equal $6.

The total number of different pairs that can be formed for the song, with one man and one woman in each pair, is 442 pairs.

This is a classic mathematical problem known as combinations. In this case, we want to know how many different pairs can be formed from a group of 17 men and 26 women where one man and one woman form a pair.

To calculate the number of different combinations, we multiply the number of choices for the first element (a man) by the number of choices for the second element (a woman). Thus, we have 17 different choices for the man and 26 different choices for the woman. So the total number of different pairs that can be formed is: 17 men * 26 women = 442 pairs.

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The highest score on the test is 47, found by setting up and solving a system of equations based on the information given in the question.

The problem described in the question can be solved using algebra. Let's denote the highest score as H and the lowest score as L. According to the question, we have two equations:

We can solve this system of equations step by step. Since both equations have H, they can be set equal to each other: 3L - 4 = 30 + L. If you simplify this equation by subtracting L from both sides, you get 2L - 4 = 30. Then add 4 to both sides to isolate 2L on one side: 2L = 34. Divide both sides by 2, to solve for L: L = 17. Then substitute L into one of your original equations (H = 3L - 4), so H = 3*17 - 4 = 51 - 4 = 47. So, the highest test score is 47.

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The question seeks an applicable double fact to help solve 4+5, however, no exact double fact would provide the precise result because they pertain only to pairs of the same number. The closest double fact is 4+4, and though this is not an exact match, it helps to get a ballpark figure.

The question asks: Which doubles fact can help you solve 4+5=? In this case, you might think of using the double fact of 4+4. Although it's not exactly the same as 4+5, it's close and can give you a good guess. However, no exact double fact would help you to get the exact answer to 4+5 because these are two different numbers. The sum of 4+5 equals to 9. The purpose of double facts is to aid in mental mathematics by recalling the results of certain simple additions, but only pairs of the same number are used;

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Answer:

$0.51

Step-by-step explanation: