MATHEMATICS MIDDLE SCHOOL

Use distributive property to simplify 5 ( 6x - 2 )

Answers

Answer 1

Answer: The answer would be 30x-10

Answer 2

Answer:

Answer:

30x-10

Step-by-step explanation:

multiply 5 to 6x =30x

multiply 5 to -2= -10

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What is the measure of x , if angle 6 equals 4 x and angle 7 equals 2 x + 34?112°
68°
64°
17°

Answers

The measure of x in the given figure is equal to 17°

What are vertical angles?

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.

In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.

They are also called vertically opposite angles as they are situated opposite to each other.

Given is figure, where two lines intersects each other and forms angles, we need to find the measure of x, if angle 6 = 4x and angle 7 = 2x + 34

Since, the angles 6 and 7 are vertical angles,

Therefore, the angles are equal,

Therefore,

4x = 2x+34

2x = 34

x = 17

Hence, the measure of x is equal to 17°

Learn more about vertical angles, click;

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Answer:

17°

Step-by-step explanation:

Factorise this expression:3x - x^2

(If possible, please explain the method used to solve it)

My answer is x(3 - x)
Is that right?

Answers

Yes you are correct, GCF of both terms is x, so you can factor x out.

3x - x² ⇒ x(3 - x)

3x - x²
x(3) - x(x)
x(3 - x)
Your answer is right.

HOW MANY SQUARE NUMBERS IN A PACK OF 52 CARDS

Answers

in a pack of 52 cards, there are 3 square numbers - 1, 4, and 9.

1 × 1 = 1
2 × 2 = 4
3 × 3 = 9

Charles Lindbergh made a first solo airplane flight from New York to Paris. His flight covered about 3610 miles in 33.5 hours.a.) find the unit rate in miles per hour
b.) find the unit rate in hours per mile
c.) which is a better description of Lindbergh's rate about 2 miles per minute or about 2 mph? Explain your reasoning.

Answers

The unit rate is 107.76 miles per hour.

The unit rate is 0.009 hours per mile.

A better description of Lindbergh's rate is about 2 miles per minute is 67 miles.

Given that

Charles Lindbergh made their first solo airplane flight from New York to Paris.

The flight covered about 3610 miles in 33.5 hours.

According to the question

1. The unit rate in miles per hour is,

$\rm Unit \ Rate = (Distance)/(Time)\n\nUnit \ rate = (3610)/(33.5)\n\nUnit \ rate = 107.76 \ miles \ per \ hour$

The unit rate is 107.76 miles per hour.

2. The unit rate in hours per mile is,

$\rm Unit \ Rate = (Time)/(Distance)\n\nUnit \ rate = (33.5)/(3610)\n\nUnit \ rate = 0.009 \ hour \ per \ miles$

The unit rate is 0.009 hours per mile.

3. The better description of Lindbergh's rate about 2 miles per minute or about 2 mph is,

$\rm = 33.5 * 2\n\n= 67 \ miles$

A better description of Lindbergh's rate is about 2 miles per minute is 67 miles.

To know more about Equation click the link given below.

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a) 107.7mph This is solved by dividing the distance by the time to see how many miles are covered over that time. 3610 divided by 33.5 = 107.7 (1st decimal place)
b)0.009 This is done by doing the opposite. 33.6 divided by 3610
c)2mpm because 2mph would mean he only covered 67 miles.

Edward had 45 water bottles. If he drank 1/9 of water bottles, how many did he drank?