Answer:
102000
Step-by-step explanation:
Answer:
3,943.84
Step-by-step explanation:
Since we know the angle of the arc is 70°, its length will be 7/36 of the whole circumference. The circumference, which is 2*pi*r, is 20 pi = 62.8, so the arc JL is 7/36 * 62.8 = 3,943.84
Answer:
3,375 chairs
Step-by-step explanation:
The weight of 25 folding chairs is 15 kg
Number of folding chairs : weight
= 25 : 15
How many chairs can be loaded on a truck having a capacity of
carrying 2025 kg load?
Let number of folding chairs = x
Number of folding chairs : weight = x : 2025
Equate both ratios
25 : 15 = x : 2025
25/15 = x/2025
Cross product
25 * 2025 = 15 * x
50,625 = 15x
x = 50,625/15
x = 3,375
Number of folding chairs = 3,375 chairs
One integer is m.
The other integer is n.
n = 23m + 5
mn = 6732
m = 6732/n
n = 23 * 6732/n + 5
n = 154,836/n + 5
n^2 = 154,836 + 5n
n^2 - 5n - 154,836 = 0
n = [5 +- sqrt(25 + 4 * 154,836)]/2
n = (5 +- 787)/2
n = 396 or n = -391
We discard -391 because the problem is looking for positive integers.
mn = 6732
m = 6732/n = 6732/396
m = 17
Answer: The integers are 17 and 396.
Answer:12c + 30b ≤ 360
Step-by-step explanation:
Your math problem requires us to convert the word problem into math before we can solve the math. So let's try to do that first.
First, let's make a math equation to represent the amount of time.
The amount of time to bake "c" batches of cookies = (# of minutes per batch) x (# of batches) = 12 x c = 12c
Similarly for the amount of time to bake "b" batches of brownies = (# of minutes per batch) x (# of batches) = 30 x b = 30b
This is going to look like a format of:
(amount of time to bake cookies) + (amount of time to bake brownies) ≤ (total amount of time)
This person wants the (total amount of time) to be "at most 6 hours" but we can't just put "6" as our number because the other amounts of time are in "minutes".
6 hours * 60 minutes in an hour = 360 minutes
So our first equation becomes:
12c + 30b ≤ 360
