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saul85 [17]
3 years ago
11

Alexander measures a stack of textbooks to be 38.2 cm tall. If there are 10 textbooks in the stack, how tall is each textbook?

Mathematics
1 answer:
Hunter-Best [27]3 years ago
6 0

Answer:

3.82 cm tall.

Step-by-step explanation:

Alexander measures a stack of textbooks to be 38.2 cm tall. If there are 10 textbooks in the stack, how tall is each textbook?

From the above question:

1 stack = 10 textbooks = 38.2 cm tall

Hence,

10 textbooks = 38.2 cm tall

1 textbook = x cm

Cross Multiply

10 x = 1 × 38.2

x = 38.2/10

x = 3.82 cm tall

Therefore, each textbook is 3.82 cm tall.

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The sum of 33 consecutive even numbers is 78. What is the second number in this sequence?
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Answer: The second number is 26


Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Let's call:

x: The first even number.

x+2: the second consecutive even number.

x+4: the third consecutive even number.

2. So, you know that the sum ot the 3 consecutive numbers is 78, therefore, you must add them, as you can see below:

x+(x+2)+(x+4)=78\\3x+6=78\\3x=78-6\\3x=72\\x=\frac{72}{3}\\x=24

3. Substitute the value obtain into x+2. Therefore, the second number is:

x+2=24+2=26


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