Let's begin by breaking each number down into its prime factors: 4 = 2 x 2 5 = 5 6 = 2 x 3 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4, 5, and 6 by multiplying all common and unique prime factors of each number: common prime factors: 2 unique prime factors: 2,5,3 LCM = 2 x 2 x 5 x 3 = 60 Next, let's determine how many times 60 goes into 10,000 (excluding remainder): 10,000/60 = 166 and 2/3 Multiples of ALL 3 numbers (4,5,6) = 166 Next, let's determine the Lowest Common Multiple (LCM) of the numbers 4 and 5 by multiplying all common and unique prime factors of each number: common prime factors: none
unique prime factors: 2 x 2 x 5
LCM = 2 x 2 x 5 = 20 Next, let's determine how many times 20 goes into 10,000:
10,000/20 = 500
Multiples of BOTH numbers (4 and 5) = 500 Finally, let's subtract the multiples of ALL three numbers (4,5,6) from the multiples of BOTH numbers (4 and 5) to get our answer: Multiples of ONLY numbers 4 and 5 (excluding 6): 500 - 166 = <span>334</span>
Total mold spores at end of 9.30 am is 26901.
Step-by-step explanation:
Number of molds = 14000
Rate = 9.7% per hour
Number of hours = 12 am to 9.30 am = 9
hours
Growth of mold = 14000 * 9.7% * 9
= 12901
Total mold spores at end of 9.30 am = 14000 + 12901
= 26901
Hence, the expected number of mold spores at 9.30 am is 26901.
Answer:
x= 5/2 or 1/2
Step-by-step explanation:
absolute value always gives us positive
if |u| = 2, u can be -2 or 2
2x-3 = 2
2x = 5
x = 5/2
2x-3 = -2
2x = 1
x= 1/2
in general, set the stuff inside the absolute value to equal both positive and negative of the equivalent value
Answer: $13.80 for 6 giant lollipops
Step-by-step explanation: To find the cost of 6 giant lollipops at the candy store, we first need to find the unit price for a giant lollipop.
Unit price means the cost per unit,
in this case, the cost per giant lollipop.
Since we know that it costs $16.10 for 7 giant lollipops, to find the cost
for 1 giant lollipop, we need to 16.10 by 7.
16.10 divided by 7 is 2.3.
This means that each lollipop is $2.30.
Now to find the cost for 6, we multiply
the cost per 1 lollipop by 6.
So we have 2.30 × 6 which is $13.80.
So the cost for 6 lollipops at the candy store is $13.80.
Answer:
2.38
Step-by-step explanation:
subtract 4.9 on both sides
