MATHEMATICS HIGH SCHOOL

4 1/2 - 2 2/3
Simplest form

Answers

Answer 1

Answer: convert the mixed number to an improper fraction
9/2 - 2 2/3
9/2 - 8/3
11/6

simplest form:
1 5/6

Answer:

c. ¾

Step-by-step explanation:

By adding fractions, you must follow the following steps:

1. Make sure the numbers of the denominators are equal.

2. Add the numerators and put this number over the denominator.

3. Simplify.

Since the number of the denominators are different. We must multiply and divide one fraction for a number such that the denominators stand equal. For instance, we can multiply and divide fraction 1/4 by number 2 as follows:

$(1)/(4)=(1 * 2)/(4 * 2)= (2)/(8)$

So the expression can be written as follows:

$(4)/(8)+(2)/(8)=(6)/(8) \n \n But \ (6)/(8) \ can \ be \ written \ as: \n \n (3 * 2)/(4 * 2) = \boxed{(3)/(4)}$

How many quarts, rounded to the nearest tenth,are in 72 liters

Answers

Answer:76.1

Step-by-step explanation: multiply the volume value by 1.057

According to astronomers, what is a "light year"

Answers

A light year is the distance light travels in one year.

Let's figure out what this distance is shall we...?

We know that speed = distance / time, therefore distance = speed x time.

Speed of light = 299,792,458 m/s

Time (One year) = 31,536,000 s

That is a ridiculous:

9.454254955 x 10¹⁵ metres,

Which is approximately:

9,400 trillion metres.

Only "one light year" away... That's a hell of a distance.

Here's a hint : A light year is a distance, not a time.

A light year is a unit of length used informally to express astronomical distances.

Please assist with these problem

Answers

Answer:

x = 5

Step-by-step explanation:

The expression simplifies to 5x-25 (x≠0), so has solution ...

5x -25 = 0

x - 5 = 0 . . . . divide by 5

x = 5 . . . . . . . add 5

The only zero is at x=5.

The graph of the function is the line y = 5x-25, with a "hole" at x=0.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is thepoint of B?

Answers

The midpoint of a line segment divides the line segment into equal halves. The point of B is (7,2)

Given that:

$A = (-1,6)$

$M = (3,4)$

Point B is represented as:

$B = (x_2,y_2)$

To calculate the coordinate of B, we use the following midpoint formula:

$M = ((x_1 + x_2)/(2),(y_1 + y_2)/(2))$

So, we have:

$(3,4) = ((-1 + x_2)/(2),(6 + y_2)/(2))$

Multiply through by 2

$2 * (3,4) = (-1 + x_2,6 + y_2)$

$(6,8) = (-1 + x_2,6 + y_2)$

By comparison:

$6 = -1 +x_2$ and

$8 = 6 + y_2$

So, we have:

$6 = -1 +x_2$

$x_2 =6 + 1$

$x_2 =7$

$8 = 6 + y_2$

$y_2 = 8 - 6$

$y_2 = 2$

Hence, the coordinate of B is (7,2)

Answers

Answer:

249.15 million

Step-by-step explanation:

151(1.65)=249.15

To calculate the US population in 1990, we increase the 1950 population of 151 million by 65%, resulting in an estimated population of about 249.15 million.

To answer the question, we need to find out how much the United States population increased from 1950 to 1990. We know that the US population in 1950 was 151 million and that it increased by 65% by 1990.

First, we need to calculate the amount that represents the 65% increase from 151 million. We can do this by multiplying 151 million by 65/100. This will give us about 98.15 million.

Then, we add this increase to the initial population in 1950, which gives us the 1990 population. So, if we add 98.15 million to 151 million, we get a 1990 population estimate of approximately 249.15 million.

Learn more about Population Growth here:

brainly.com/question/18415071

#SPJ11

Other Questions

Solve by using the perfect squares method.x2 + 16x + 64= 0a. –8b. –16c. 8d. 16

What is greater 96 oz or 8pt

Gary has 10 coins in his pocket. 2 quarters 5 dimes 3 nickels without looking, Gary pulls 1 coin from his pocket and puts it on a table. Then, he pulls one more coin from his pocket. What is the probability that the first coin is a dime and the second coin is a nickle?

What is 780 in scientific notation?