Answer:
1. 6n - 15
2. x + 10
3. -4d + 15
4. true, associative property
5. distributive, commutative
Step-by-step explanation:
1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20
2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms
3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms
4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up
5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer
To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.
Well the solution to this problem is x < -4
C option is correct. Because out of 10 toys 1 is defective. So 10 will be defective out of 100 and 100 will be defective out if 1000 i.e the monthly production.
Answer:
The daily value for saturated fat is 20g.
Step-by-step explanation:
Percentage problems can be solved by rule of three
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
A percentage problem is an example where the relationship between the measures is direct.
The problem states that 1g is 5% of the daily value for saturated fat. The daily value(100%) for saturated fat is x, so:
1g - 5%
xg - 100%
5x = 100
x = 20g
The daily value for saturated fat is 20g.
