Answer:
8 loaves
Step-by-step explanation:
Possible english translation:
Find the largest number of children among whom 32.48 and 56 loaves can be distributed simultaneously, so that in either case each receives the same amount. How many loaves will each child receive?
<u>Solution:</u>
The max amount each one will receive from either 32, 48, or 56 loaves would basically be the HCF (highest common factor) of the 3 numbers.
To get HCF of the 3 numbers given, we follow the rule below:
- Get prime factorization of each number (express the number as product of primes by dividing
- Then we take the smallest power of shared factor
We show this below:
32/2 = 16/2 = 8/2 = 4/2 = 2
So,
32 =
48/2 = 24/2 = 12/2 =6/2 = 3
So,
48 =
56/2 = 28/2 = 14/2 = 7
56 =
Common factor is only "2" (in all 3 numbers) and the lowest powered one is 2^3, so the <u>HCF is 8</u>
Answer:
9 bracelets sold is the break even point.
Step-by-step explanation:
The total costs are 7.50 for each bracelet made and 225 for the booth rental.
Let the Costs = y and Let the number of bracelets = x.
So far what you have is
y = 225 + 7.50 * x
Balancing this out is the sale price
32.50 * x is the total income.
Equation
The break even point is where
y = 32.5x - (225 + 7.50x) = 0
Solution
32.5x - 225 - 7.50x = 0 Combine like terms on the left
25x - 225 = 0 Add 225 to both sides
25x - 225 + 225 = 0 + 225 Combine
25x = 225 Divide both sides by 25
25x/25 = 225/25
x = 9
The answer is that the break even point is when 9 bracelets have been sold.
Answer:
We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.