Answer:
The answer to your question is There were 59/168 muffins left.
Step-by-step explanation:
Data
Initial amount of muffins = 1
Amount of muffins given to his neighbors = 11/21
Amount of muffins eaten = 1/8
Amount of muffins left = ?
Process
1.- Subtract the amount of muffins given to the neighbors and the amount of muffins eaten to the initial amount of muffins.
1 - 11/21 - 1/8 =
-Look for the greatest common factor
21 8 2
21 4 2
21 2 2
21 1 3
7 7
1
GCF = 2 x 2 x 2 x 3 x 7
= 168
-Solve the arithmetical operation
1 - 11/21 - 1/8 = (168 - 88 - 21) / 168
= 59/168
-Conclusion
There were 59/168 muffins left.
Answer:
graph a
Step-by-step explanation:
i know
Answer:
36
Step-by-step explanation:
Frequency of less than 4:
6 + 4 + 8 = 18
Probability:
18/50 × 100 = 36%
The distributive property of multiplication is a very useful property that lets you simplify expressions in which you are multiplying a number by a sum or difference. The property states that the product of a sum or difference, such as 6(5 – 2), is equal to the sum or difference of the products – in this case, 6(5) – 6(2).
Remember that there are several ways to write multiplication. 3 x 6 = 3(6) = 3 • 6.
3 • (2 + 4) = 3 • 6 = 18.
Distributive Property of Multiplication over Addition
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2.
3(10 + 2) = ?
According to this property, you can add the numbers and then multiply by 3.
3(10 + 2) = 3(12) = 36. Or, you can first multiply each addend by the 3. (This is called distributing the 3.) Then, you can add the products.
We can use these variables:
A = number of ounces for solution A
B = Number of ounces for solution B
A + B = 20
Now, we can use decimal conversions.
0.65A + 0.80B = 0.70(120)
Next step: We substitute A into 120 - B to show their relationship.
0.65(120 - B) + 0.80B = 84
Now onto the next equation:
78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…
0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces
To find A, we can simply plug B into the starting equation.
A = 120 - 40
A = 60 ounces
Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah