MATHEMATICS HIGH SCHOOL

What is 10^0 + 10^1 + 10^2 equal to? A. 10,201 B. 120 C. 111 D. 110 E. 100

Answers

Answer 1

Answer:

Answer:

111

Step-by-step explanation:

10^0 + 10^1 + 10^2

1 + 10 + 100

111

Answer 2

Answer:

Answer:

111

Step-by-step explanation:

1+10+100=111

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Monty has a total of $290 in ten dollar and five dollar bills. This can be represented by the function 10x + 5y = 290. Interpret the x- and y-intercepts.
A score of "3" on a par 5 hole is also known as a(n) _____.
Solve this equation -9h-6+12h+40=22
Suppose that you have a $2,000 balance on a credit card with a 7.99% annual interest rate, and you can afford to pay $150 per month toward this debt. a. Find the amount of time it takes to pay off this debt. Give your answer in months and years.b. Calculate the total amount paid over the life of the debt.
What are the multiples of 4?

Part B: The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)

Answers

The dimensions of the rectangle are 9x + 2y units and 9x - 2y units.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

To determine the dimensions of the rectangle, we need to factor the area expression completely. We can use the difference of squares formula to do this. The formula is:

a2 - b2 = (a + b)(a - b)

We are given that;

Area of rectangle= (81x2 − 4y2) square units.

Now,

We can identify that 81x2 and 4y2 are both perfect squares. The square roots of them are 9x and 2y respectively. So we can rewrite the area expression as:

81x2 - 4y2 = (9x)2 - (2y)2

Using the difference of squares formula, we can factor this expression as:

(9x)2 - (2y)2 = (9x + 2y)(9x - 2y)

We can check this by multiplying them and getting back the original area expression.

(9x + 2y)(9x - 2y) = 81x2 - 18xy + 18xy - 4y2 (9x + 2y)(9x - 2y) = 81x2 - 4y2

Therefore, by the given area the answer will be 9x + 2y units and 9x - 2y units.

Learn more about the area;

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Hello,

if the aim is to factorise:
81x²-4y²=(9x)²-(2y)²=(9x-2y)(9x+2y)

But the sides may also be and an other expression....

What is one half added to five eighths

Answers

we need to add 1/2 and 5/8.

First, we will find a common denominator to both numbers. The common denominator will be 8.
1/2 is equivalent to 4/8

Then, we add the numerators:
4/8 + 5/8 = 9/8

Jordan likes only blue jelly beans. He has a box of 100 jelly beans that contains equal numbers of red, blue, green, yellow, and orange jelly beans.Jordan randomly pulls out a jelly bean. Then he pulls out a second one without replacing the first. What is the probability that both jelly
beans are blue?

Answers

2/20 is the chance of choosing 2 blue jelly beans. Since there are 5 colors, that are equally divided......

An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for eachdog. Pat noticed that the shelter spent $89.50 caring for cats and dogs on Wednesday.
Write an equation to represent the possible numbers of cats and dogs that could have been at the
shelter on Wednesday.
Pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are Pat’s
numbers possible? Use your equation to justify your answer.
Later, Pat found a record showing that there were a total of 22 cats and dogs at the shelter on
Wednesday. How many cats were at the shelter on Wednesday?

Answers

Equation:
89.50=2.35c+5.50d

If theres 22 dogs and cats in total you can plug in number less than 22 for c(# of cats) and d(# of dogs).

So we try pats numbers 8 cats and 14 dogs so

89.50=2.35(8)+5.50(14)

89.50=18.8+77

89.50=95.8

So pats numbers were wrong so we try different numbers

So i started pluging in numbers from under 22 so i got c is 10 and d is 12 lets try it with the equation

89.50=2.35(10)+5.50(12)

89.50=23.5+66

89.50=89.50 so it works the answer to how many number of dogs and cats is 12 dogs and 10 cats

Final answer:

The equation representing the costs to care for the animals is 2.35c + 5.5d = $89.50. Pat's proposal of 8 cats and 14 dogs does not match the costs. Upon using additional information of the total number of animals being 22, we can solve the system of equations to find that there were 16 cats and 6 dogs at the shelter on Wednesday.

Explanation:

Let's denote the number of cats as c and the number of dogs as d. We know from the cost of care per day per animal that 2.35c + 5.5d = $89.50. This is the equation representing the possible number of cats and dogs at the shelter in terms of costs. For Pat's numbers, we can substitute c=8 and d=14 into the equation and check if they are possible. That is, substitute and check if 2.35(8) + 5.5(14) equals to 89.5. In this case, it does not since the total here comes to more than $89.50. So, Pat's numbers were not possible.

Regarding the total number of animals, we know that c + d = 22. With this equation, we can solve the system of equations to find out the actual number of cats and dogs at the shelter on Wednesday. Solving these two equations, we will find that 16 cats and 6 dogs were present at the shelter on Wednesday.

Learn more about System of Equations here:

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Which of the following formulas, when evaluated using rational values for the variables, will result in an irrational number?A. the formula for the area of a circle
B. the formula for the area of a trapezoid
C. the formula for the area of a triangle
D. the formula for the area of a rectangle

Answers

The formula for the area of a circle. Then the correct option is A.

What is an irrational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

A. The formula for the area of a circle.

In the formula of circle, π is an irrational number, so the resulting area will be irrational.

B. The formula for the area of a trapezoid.

In the formula of trapezoid, all the value are rational number, so the resulting area will be rational.

C. The formula for the area of a triangle.

In the formula of triangle, all the value are rational number, so the resulting area will be rational.

D. The formula for the area of a rectangle.

In the formula of rectangle, all the value are rational number, so the resulting area will be rational.

Then the correct option is A.

More about the irrational number link is given below.

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