Santa can see up to 25 children per hour what is the maximum number of children he can see in 6 hours?

Answers

Answer 1

Answer:

The required Santa cane sees up to 150 children in 6 hours.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Santa can see up to 25 children per hour,
Now,
The number of children that Santa can see in 6 hours is given as,
= 25 × 6
= 150 children

Thus, the required Santa cane sees up to 150 children in 6 hours.

Learn more about arithmetic here:

brainly.com/question/11424589

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Answer 2

Answer: He can see up to 150 because, 25x6 is 150 children.

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Victoria has some money from her birthday and the amount is modeled by the function h(x) = 200. She read about a bank that has savings accounts that accrue interest according to the function s(x) = (1.05)x − 1. Victoria is thinking about putting her money into the savings account to gain interest. Using complete sentences, explain to Victoria how she can combine her functions to create a new function, and explain what this new function means.

Write the expression as the sine, cosine, or tangent of an angle.sin 9x cos x - cos 9x sin x

Answers

Answer:

$\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

Step-by-step explanation:

Given : Expression $\sin (9x) \cos (x) - \cos (9x)\sin (x)$

To write : The given expression as the sine, cosine, or tangent of an angle?

Solution :

The given expression is in the form $\sin A\cos B-\cos A \sin B$

Using trigonometric identity,

$\sin (A-B)=\sin A\cos B-\cos A \sin B$

Substituting, A=9x , B=x

$\sin (9x-x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

$\sin (8x)=\sin (9x) \cos (x) - \cos (9x)\sin (x)$

Therefore, The given expression is in the sin form sin(8x).

Answer:

sin 8x

Step-by-step explanation:

Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water.Part A: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. (5 points)

Answers

Given:
lemon juice = 60% in the bottle
water = 1 liter.

Since lemon juice is 60% and the rest is water. Water is 40% of the bottle.

1 liter of water is equivalent to 40% of the bottle.

1/40% = 2.50 liters amount of total liquid in the water.

2.50 x 60% = 1.5 liters of lemon juice.

0.6x + 0.4x = 2.5

Zuma was earning $9.40 per hour when she got a 6% increase in pay. What was her rate of pay after the increase

Answers

$9.96 To do the math take your starting value and multiply 9.40 by 1.06 (1 in the 1's place because you are just adding 6%) (0.6 in the hundredths place due to the 6/100% or 06/100%)

What is 81 to the power of -1/4?

Answers

81^(-1/4) is the same as the fourth root of (1/81). Which can be written as 4th root of 1 divided by the 4th root of 81.
The 4th root of 1 is 1 (because 1x1x1x1x1=1).
The 4th root of 81 is 3 (because 3x3x3x3=81).
So 81^(-1/4) = 1/3

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan is $255.94. What was the amount of the loan?

Answers

You can write it as an algebraic equation:

p x 5.25% x 1 = 255.94
p x 0.0525 x 1 = 255.94
p x 0.0525 = 255.94
p x 0.0525/0.0525 = 255.94/0.0525
p = 4875.04

How would I rewrite this?

Answers

Answer:

-The answer is $y^2$ .

Step-by-step explanation:

When you divide numbers/variables with exponents, the exponents will subtract each other:

$(y^5)/(y^3) =y^2$

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