Question
consider the given expression 4/5 x 2/3
A: Brianna performs a chemistry experiment that involves boiling 4/5 of a liter of water when 2/3 of a liter evaporates how much of the water has evaporated
B: Melvin has 4/5 of a gallon of a paint in a can he uses 2/3 of a gallon to paint a wall how much of a gallon of paint is left in the can?
C: Alyssa has 4/5 of a pound of potatoes she bye 2/3 of a pound more how many pounds of potatoes does she have now?
D: Ms. Kubrick has 4/5 of a pound of grapes in a bowl her family ate 2/3 of the grapes how much of a pound of grapes did they eat?
A: Brianna performs a chemistry experiment that involves boiling 4/5 of a liter of water when 2/3 of a liter evaporates how much of the water has evaporated
B: Melvin has 4/5 of a gallon of a paint in a can he uses 2/3 of a gallon to paint a wall how much of a gallon of paint is left in the can?
C: Alyssa has 4/5 of a pound of potatoes she bye 2/3 of a pound more how many pounds of potatoes does she have now?
D: Ms. Kubrick has 4/5 of a pound of grapes in a bowl her family ate 2/3 of the grapes how much of a pound of grapes did they eat?
Answers
Answer
you have to pick one of them sorry
Answer
use properties of rational numbers to multiply the following -40 x (-75)
Answered by
GPT-4o mini
Let's analyze each scenario while performing the calculations for the fractions provided.
### A: Brianna's Chemistry Experiment
Brianna starts with \( \frac{4}{5} \) of a liter of water and \( \frac{2}{3} \) of a liter evaporates.
To find the amount of water that evaporated, we simply take \( \frac{2}{3} \) of \( \frac{4}{5} \):
\[
\text{Amount evaporated} = \frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}
\]
So, \( \frac{8}{15} \) liters of water has evaporated.
### B: Melvin's Paint
Melvin has \( \frac{4}{5} \) of a gallon of paint and uses \( \frac{2}{3} \) of a gallon. To find out how much paint is left in the can, we first determine how much paint Melvin uses:
\[
\text{Amount used} = \frac{2}{3} \times \frac{4}{5} = \frac{8}{15}
\]
Now, convert \( \frac{4}{5} \) to a fraction with a denominator of 15 to subtract:
\[
\frac{4}{5} = \frac{12}{15}
\]
Now, subtract the amount used from the total:
\[
\text{Amount left} = \frac{12}{15} - \frac{8}{15} = \frac{4}{15}
\]
So, Melvin has \( \frac{4}{15} \) gallons of paint left.
### C: Alyssa's Potatoes
Alyssa has \( \frac{4}{5} \) of a pound of potatoes and buys \( \frac{2}{3} \) of a pound more. We add these two amounts together:
\[
\text{Total potatoes} = \frac{4}{5} + \frac{2}{3}
\]
To add these fractions, find a common denominator, which is 15:
\[
\frac{4}{5} = \frac{12}{15}, \quad \frac{2}{3} = \frac{10}{15}
\]
Now, add:
\[
\text{Total potatoes} = \frac{12}{15} + \frac{10}{15} = \frac{22}{15}
\]
So Alyssa now has \( \frac{22}{15} \) pounds of potatoes.
### D: Ms. Kubrick's Grapes
Ms. Kubrick has \( \frac{4}{5} \) of a pound of grapes, and her family eats \( \frac{2}{3} \) of that amount. We find out how much they ate:
\[
\text{Amount eaten} = \frac{2}{3} \times \frac{4}{5} = \frac{8}{15}
\]
Thus, the family ate \( \frac{8}{15} \) of a pound of grapes.
### Summary of Results:
A: \( \frac{8}{15} \) liters of water evaporated.
B: \( \frac{4}{15} \) gallons of paint left.
C: \( \frac{22}{15} \) pounds of potatoes.
D: \( \frac{8}{15} \) pounds of grapes eaten.
### A: Brianna's Chemistry Experiment
Brianna starts with \( \frac{4}{5} \) of a liter of water and \( \frac{2}{3} \) of a liter evaporates.
To find the amount of water that evaporated, we simply take \( \frac{2}{3} \) of \( \frac{4}{5} \):
\[
\text{Amount evaporated} = \frac{2}{3} \times \frac{4}{5} = \frac{2 \times 4}{3 \times 5} = \frac{8}{15}
\]
So, \( \frac{8}{15} \) liters of water has evaporated.
### B: Melvin's Paint
Melvin has \( \frac{4}{5} \) of a gallon of paint and uses \( \frac{2}{3} \) of a gallon. To find out how much paint is left in the can, we first determine how much paint Melvin uses:
\[
\text{Amount used} = \frac{2}{3} \times \frac{4}{5} = \frac{8}{15}
\]
Now, convert \( \frac{4}{5} \) to a fraction with a denominator of 15 to subtract:
\[
\frac{4}{5} = \frac{12}{15}
\]
Now, subtract the amount used from the total:
\[
\text{Amount left} = \frac{12}{15} - \frac{8}{15} = \frac{4}{15}
\]
So, Melvin has \( \frac{4}{15} \) gallons of paint left.
### C: Alyssa's Potatoes
Alyssa has \( \frac{4}{5} \) of a pound of potatoes and buys \( \frac{2}{3} \) of a pound more. We add these two amounts together:
\[
\text{Total potatoes} = \frac{4}{5} + \frac{2}{3}
\]
To add these fractions, find a common denominator, which is 15:
\[
\frac{4}{5} = \frac{12}{15}, \quad \frac{2}{3} = \frac{10}{15}
\]
Now, add:
\[
\text{Total potatoes} = \frac{12}{15} + \frac{10}{15} = \frac{22}{15}
\]
So Alyssa now has \( \frac{22}{15} \) pounds of potatoes.
### D: Ms. Kubrick's Grapes
Ms. Kubrick has \( \frac{4}{5} \) of a pound of grapes, and her family eats \( \frac{2}{3} \) of that amount. We find out how much they ate:
\[
\text{Amount eaten} = \frac{2}{3} \times \frac{4}{5} = \frac{8}{15}
\]
Thus, the family ate \( \frac{8}{15} \) of a pound of grapes.
### Summary of Results:
A: \( \frac{8}{15} \) liters of water evaporated.
B: \( \frac{4}{15} \) gallons of paint left.
C: \( \frac{22}{15} \) pounds of potatoes.
D: \( \frac{8}{15} \) pounds of grapes eaten.
Answered by
GPT-4o mini
No problem! Let's focus on one of the scenarios. How about we go with **B: Melvin's Paint**?
### B: Melvin's Paint
Melvin has \( \frac{4}{5} \) of a gallon of paint in a can. He uses \( \frac{2}{3} \) of a gallon to paint a wall.
To find out how much paint is left in the can, we first need to calculate how much paint Melvin uses:
1. Calculate the amount of paint used:
\[
\text{Amount used} = \frac{2}{3} \times \frac{4}{5} = \frac{8}{15}
\]
2. Convert \( \frac{4}{5} \) to a fraction with a denominator of 15 in order to subtract:
\[
\frac{4}{5} = \frac{12}{15}
\]
3. Now, subtract the amount used from the total amount of paint:
\[
\text{Amount left} = \frac{12}{15} - \frac{8}{15} = \frac{4}{15}
\]
So, Melvin has \( \frac{4}{15} \) gallons of paint left in the can.
### B: Melvin's Paint
Melvin has \( \frac{4}{5} \) of a gallon of paint in a can. He uses \( \frac{2}{3} \) of a gallon to paint a wall.
To find out how much paint is left in the can, we first need to calculate how much paint Melvin uses:
1. Calculate the amount of paint used:
\[
\text{Amount used} = \frac{2}{3} \times \frac{4}{5} = \frac{8}{15}
\]
2. Convert \( \frac{4}{5} \) to a fraction with a denominator of 15 in order to subtract:
\[
\frac{4}{5} = \frac{12}{15}
\]
3. Now, subtract the amount used from the total amount of paint:
\[
\text{Amount left} = \frac{12}{15} - \frac{8}{15} = \frac{4}{15}
\]
So, Melvin has \( \frac{4}{15} \) gallons of paint left in the can.
Answered by
GPT-4o mini
When multiplying two rational numbers, particularly negative numbers, we can use the properties of multiplication to simplify the process. Specifically, we have the following rules:
1. **Product of Two Negative Numbers**: The product of two negative numbers is positive.
Given the expression \(-40 \times (-75)\), we can apply this rule:
\[
-40 \times (-75) = 40 \times 75
\]
Now, let's calculate \(40 \times 75\):
\[
40 \times 75 = 3000
\]
Therefore, the result of \(-40 \times (-75)\) is:
\[
\boxed{3000}
\]
1. **Product of Two Negative Numbers**: The product of two negative numbers is positive.
Given the expression \(-40 \times (-75)\), we can apply this rule:
\[
-40 \times (-75) = 40 \times 75
\]
Now, let's calculate \(40 \times 75\):
\[
40 \times 75 = 3000
\]
Therefore, the result of \(-40 \times (-75)\) is:
\[
\boxed{3000}
\]
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