MATHEMATICS MIDDLE SCHOOL

What is the perimeter, P, of a rectangle that has a length of (x + 8) and a width of (x − 1)? Show all work.

Answers

Answer 1
Answer:

Answer:

4x + 14

Step-by-step explanation:

From the question,

L =(x + 8)

W =(x -1)

Perimeter of a rectangle

= 2(L + B)

P = 2( x+8 + x-1)

Using distributive property

We have

2xx +2x8 + 2xx -2x1

2x + 16 +2x -2

2x + 2x +16 -2

4x + 14

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Simplify 4 + (-3) -2 x (-6)

Answers

Answer:

4 - 3 - 2 x -6

do the multiplication first

4 - 3 - (-12)

4 - 3 + 12

=13

hope it helps :)

Hopethiswillhelpu.....

What is the least common multiple (LCM) of 6 and 8?A. 24
B. 48
C. 16
D. 2

Answers

the answer is a 24 Method
 The LCM of 6 and 8 is 24, which is the multiple of the highest power of all prime factors from both numbers
6 = 2 x 3
8 = 2 x 2 x 2 x 3 = 23 x 3
Highest multiple of 2 = 23 = 8
Highest multiple of 3 = 3

(23 x 3 = 8 x 3 = 24).

Small Numbers Method (trial and error)
Start listing the multiples
6 multiples- 6, 12, 18, 24
8 multiples- 8, 16, 24
The LCM of 8 and 6 is 24.
he multiples of 6 are : 6, 12, 18, 24, 30, . . . The multiples of 8 are : 8, 16, 24, 32, 40, . . . So, the Lowest Common Multiple is 24.

A. 24

Derrick really wants to earn at least $330 at the Bike Shop. He earns $150 per week plus $15.50 for each bicycle that he assembles. How many bikes will he need to assemble this week in order to earn at least $330? (be careful when rounding in a real world problem to make sure that your answer works) Question 1 options: 10 bikes , 11 bikes , 12 bikes , 13 bikes

Answers

Answer: He will need to assemble 12 bikes, because 12 x 15.50 = $186 and $186 + 150 = $336

Step-by-step explanation: Don't need one :)) it's basic math

330-150= 180 then divide 180 by 15.50 and you will get 11.6129 and you can round that to 12 bikes

Show me 475 in expanded form

Answers

400+70+5 because 400 is in the hundreds place and 70 in the tens place while 5 is in the ones place.
400+90+0+5 is the answer

2 times 2 times 13 what is the missing number

Answers

the answer is 52 if you are looking for the answer to 2x2x13=? then it is 52. Otherwise idk what you are asking.

A magician showed a magic trick where he picked one card from a standard deck. Determine what the probablity is that the catd will be a black queen card?

Answers

In a standard deck of cards there are 52 cards. 13 cards per suit and 4 suits. There are 4 queens in a deck. A queen of hearts (red,) a queen of diamonds (red,) a queen of clubs (black,) and a queen of spades (black.) That means that there are two black queens in a deck of 52 cards. Therefore the probability is 2 out of 52 or 2/52. This also simplifies to 1 out of 26 or 1/26.
standard deck: 54 card
there is only 1 type of each card
2 types of each color card
4 types of each number or sign card
there are 2 black types in a card deck spades-clubs
so 2/54 or 1/26 
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Which strategies can be used to solve this problem? Kathleen invited 28 people to her party. She plans to seat 8 people at the dining room table. She will put the rest at round tables with 4 people at each table. What is the fewest number of round tables that Kathleen needs so that each guest will have a seat? Choose all answers that are correct. A. Draw a diagram. Eight people at 1 table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table. Count the number of round tables. B. Use logical reasoning. Start with 28 people, subtract 8 people who will sit at the dining room table, that leaves 20 people. Keep subtracting 4 people until you get to 0. Count how many times you subtracted 4 people. C. Translate into an equation. 28 – 8 + 4 + 4 = t D. Work backward. There are 28 people coming to the party. There is one dining table, so subtract 1. Now figure out how many round tables there are and subtract that number.