MATHEMATICS HIGH SCHOOL

Amelia is stacking identical cube-shaped boxes. She stacks 8boxes to make a tower that is 112 cm tall. She adds 1 more
box to the tower. How tall is the tower now? Give your answer
in centimetres (cm).

Answers

Answer 1
Answer:

Answer:

126 cm

Step-by-step explanation:

each block is 112/8 cm tall=14cm

112cm is the current tower

add one more block +14cm is 126 cm total

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7. PQ contains points Rand S such that PR, RS and SQ are respectively three consecutive evenintegers. If PQ is 54, find the length of the middle segment, RS

What is the least common denominator for adding the fractions 4/15, 1/12, and 3/8

Answers

I think you want the least common multipule (exg LCM of 2,3,4 is 12)

so we find the factors and include all of them so like this

15=3 times 5
12=2 times 2 times 3
8=2 times 2 times 2

so to include all of them we include 3 2's, 1 3 and 1 5 or 2 times 2 times 2 times 3 times 5 or 8 times 15 or 4 times 30 or 120

the LCM is 120

so 4/15=32/120
1/12=10/120
3/8=45/120

add 32/120+10/120+45/120=(32+10+45)/120=87/120
The least common denominator would be the least common multiple (LCM) of the denominators, 15 12 and 8.

To find the LCM, multiply two of the numbers together and test to see if the third one divides evenly into it.

15 x 8 = 120

120 ÷ 12 = 10

Because all three numbers go evenly into 120 (and 120 is the smallest number for which that is true), the least common denominator would be 120.

A set of data with 100 observations has a mean of 267. There are six outliners in the data set, which have a mean of 688 if the six outliners are removed, what is the mean of the new data set?

Answers

Answer:

272.04

Step-by-step explanation:

We must make a weighted average, as follows:

Each mean will have its weight, which would be the number of observations, therefore, the initial mean has a weight of 100.

And the final mean that we do not know its value but if its 94 (100 - 6) and the other mean that it is 688 and its weight is 6, we have the following equality:

100 * 297 = 688 * 6 + 94 * x

x would be the final mean, solving:

x = (29700 - 4128) / 94

x = 272.04

average after removing those 6 is 272.04

Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it, to begin with. Cate added 5 cards to the stack. Elena then took 13 cards from the stack. Finally, Cate took 4 cards from the stack. How many cards were left in the stack?

Answers

Answer:

14

Step-by-step explanation:

so, 26+5-13-4=ANSWER!!!!!

26 cards to begin with.

Cate added 5 cards to the deck. +5

elena took 13 cards from the deck. -13

Cate took 4 cards from the deck. -4

ΔBCD is rotated 80° clockwise about the origin to form ΔKLM. If m∠KLM=30° , what is m∠BCD?m∠BCD=30°

m∠BCD=50°

m∠BCD=80°

m∠BCD=110°

Answers

The triangle is merely rotated. No other changes have been done to it whatsoever. Therefore, the measure of the angle should still be the same. Since angle KLM is equal to 30 degrees, then the measure of angle BCD should also be equal to 30 degrees.

Answer: m∠BCD=30°

Answer:

30

Step-by-step explanation:

What is the square root of m6?

Answers

 the answer would be M^3

Answer:

M^3

Step-by-step explanation:

In 36 years, amy will be 3 times as old as she is right now. how old is she now?

Answers

She would be 12 years old as 12•3 is equal to 36 years. (:
She would be 12 because 12•3=36
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