Find the missing number in the following pattern 12,24,72,288

Answers

Answer 1

Answer: 1440 is the missing number in the sequence

Answer 2

Answer: The missing number for this problem is 1440 because you have to times 288 by 4 to get 1440 because of the pattern the question has

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Exterior of scalene triangle sides are 25 and 15 and x. solve x.

Answers

-- All three sides of a scalene triangle have different lengths.
So 'x' can't be 15 and it can't be 25.

-- 'x' must be 10 or more in order to reach between the ends
of the 25 and the 15.

-- 'x' must be less than 40 in order for the 25 and the 15 to reach
between its ends.

So the value of 'x' must satisfy these conditions:

0 < x < 15
15 < x < 25
25 < x < 40

Any number that satisfies these conditions is an acceptable value for 'x'.

Let's say we have a triangle with three side lengths.
This triangle is really flat. So much so that you could put it on a number line.
It literally cannot get any flatter, and the largest side literally cannot get any bigger.
Well, the smaller two sides would add up to equal the third.

From this we have realized something: The largest side of any triangle cannot be larger than the sum of the other two.

Let's think back to our problem.
What are the possibilities for $x$ ?

If $x$ was the biggest side, it couldn't be any bigger than 40.

If $x$ was a smaller side, then that would make 25 the bigger side.
15 and $x$ together can't be any bigger than 25, so $x$ has to be less than 10.

Since it's a scalene triangle, x cannot be 15 or 25 either, so add that too.

$\{x|10\ \textless \ x\ \textless \ 40,\ x\neq15, x\neq25\}$

A store bought 9 cases of lightbulbs in May and 8 cases in June. There are 58 lightbulbs in each case. How many lightbulbs did the sore buy altogether??

Answers

do 58 x 9 and 58 x 8 then add them up.
58 x 9 = 522 and 58 x 8 = 464
522 + 464 = 986
So the store bought 986 light bulbs in total.

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LMNP is a rectangle. Find the value of x and the length of each diagonal.
LN = 5x + 19 and MP = 8x - 8
x=0

Answers

Question:

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 3x + 1 and MP = 8x – 4

Answer:

Value of x = 9, Length of LN = 64, Length of MP = 64

Solution:

Given LMNP is a rectangle. LN and MP are diagonals.

LN = 5x + 19 and MP = 8x – 8

Diagonals of a rectangle are equal in length.

⇒ LN = MP

⇒ 5x + 19 = 8x – 8

Combine like terms together.

⇒ 19 + 8 = 8x – 5x

⇒ 27 = 3x

Divide by 3 on both sides of the expression, we get

⇒ x = 9

The value of x is 9.

To find the length of the diagonals.

LN = 5(9) + 19

= 45 + 19

LN = 64

MP = 8(9) – 8

= 72 – 8

MP = 64

Length of LN = 64 and the length of MP = 64.

Divide 33 photos into two groups so the ratio is 4 to 7

Answers

The number of parts is:
4+7= 11

33 photos/ 11 parts= 3 photos/part

Group 1: 4 parts* (3 photos/ 1 part)= 12 photos
Group 2: 7 parts* (3 photos/ 1 part)= 21 photos

4:7
4x:7x

4x + 7x = 11x

11x = 33
x =3

4 x 3 = 12
7 x 3 = 21

So 12 and 21 are in a ratio of 4:7 and add up to 33

Which expression shows you how you can use mental math to simplify the expression (53 + 23) + 7 most easily?53 + (23 + 7)(23 + 53) + 77+ (23 + 53)7+ (53 + 23)

Answers

It's easiest to add 23 and 7 first.

(53 + 23) + 7 = 53 + (23 + 7)

First choice.

Name three numbers that would be placed between these two numbers on a number line 5.89 and 5.9

Answers

5.896 and 5.897, a bit of a guess sorry if wrong

5.891,5.812,5.813,5.814,5.815, 5.816,5.817,5.818,5.819 ect...

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