John is thinking of a number. He gives the following 3 clues. ``My number has 125 as a factor. My number is a multiple of 30. My number is between 800 and 2000.'' What is John's number?Please answer correctly
Answers
Answer:
John's number is 1500
Step-by-step explanation:
* Lets explain how to solve the problem
- Factors of a number are the numbers you multiply to get the number
- Ex: Factors of 12 are 1 × 12 , 2 × 6 , 3 × 4
- The factors of a number smaller than or equal the number
- Multiple of a number is that number multiplied by an integer
- Ex: 2, 4, 6, 8, and 10 are multiples of 2
- The multiples of a number greater than or equal the number
* Lets solve the number
- John is thinking of a number
- He gives the following 3 clues
# The number has 125 as a factor
# The number is a multiple of 30
# The number is between 800 and 2000
∵ 125 is a factor of the number
- Assume that the number is 125 (its factors 1 , 5 , 25 , 125)
∵ The number is a multiple of 30
- Assume the number is 30 (the first multiple of 30)
- To solve the problem lets find the lowest common multiple of 125
and 30 by using prime numbers only
∵ The prime factors of 125 = 5 × 5 × 5
∵ The prime factors of 30 = 2 × 3 × 5
- L.C.M of the two numbers is the product of their prime factors
without reputation
∴ L.C.M = 5 × 5 × 5 × 2 × 3 = 750
∵ 750 has 125 as a factor
∵ 750 is a multiple of 30
- But 750 is not between 800 and 2000
∴ Find a multiple of 750 and between 800 and 2000
∵ 2 × 750 = 1500
* lets check the three clues
∵ 1500 has 125 as a factor
∵ 1500 is a multiple of 30
∵ 1500 is between 800 and 2000
∴ John's number is 1500
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Answers
Answer:
Step-by-step explanation:
step 1
Find the volume of one juice box
The volume is equal to
where
substitute the values in the formula
step 2
Find the volume of one package
we know that
A package has 6 juice box
so
Multiply the volume of one juice box by 6
step 3
Find the volume of the shipping box
we know that
A shipping box holds exactly 24 packages of juice boxes
Multiply the volume of one package by 24
Answers
Hope this helps
B. 390 in^3
C.5070 in^3
D.11,700 in^3
Answers
1) we calculate the area of the circle.
area of the circle=πr²
r=13 in.
area of the circle=π(13 in)²=169π in²
2) we calculate the volume of the cylinder:
area (circle)=169π in²
height=30 in
volume=169π in² x 30 in=5070π in³ ≈ 15927.87 in³
Answer: 5070π in³ or 15927.87 in³
Answers
1 1/3 (mixed number)
Answers
106 ÷ 2 over 10 ÷2 ➡53 over 5
10.6 ➡ 10 & 3 over 5 [10 3/5]
-----------------------------------------------------------------
7.08 over 1 (100 over 100) ➡708 over 100
708÷ 4 over 100÷4 = 177 over 25
7.08 ➡ 7 & 2 over 25 [7 2/25
A.
{–3, 3}
B.
{–3, –2, 0, 3}
C.
{–4, –3, –2, 0, 2, 3}
D.
{–4, –2, 2, 3}