Answer:
32 pounds
Step-by-step explanation:
Fraction of supply for regular trail mix= ⅜
Fraction of supply for spicy trial mix
= ¼
We multiply both the denominator and numerator by 2 for the fraction of supply used for spicy trail mix so that both fractions have a common denominator of 8. This is because the amount of raisins he has in his supply is constant.
Simplifying the above information into units form:
Total (supply)= 8 units
Regular trail mix= 3 units
Spicy trail mix= 2 units
Raisins used this week
= (3 +2) units
= 5 units
Since he used 20 pounds of raisins this week, we can equate 5 units to 20 pounds.
5 units ----- 20 pounds
Divide both sides by 5 to find how much raisins 1 unit represents:
1 unit ----- 20 ÷5= 4 pounds
Since his supply was 8 units of raisins,
8 units ----- 4(8)= 32 pounds
∴ He had 32 pounds of raisins at the beginning of the week.
In order to find the equivalent expression, let's use the following property:
In other words, when subtracting a negative number, we can just add the corresponding positive number, that is, switch the two negative signs for a positive sign.
So we have that:
Therefore the correct option is D.
Answer:
Perimeter of the rectangle = 96 meters.
Step-by-step explanation:
Let the width of the rectangle = K
So, the length of the rectangle = 5K
Area = 320 sq meters
Now, Area of a Rectangle = Length x Width
⇒ 320 = K x 5K
or,
So, the vlue of K = 8 or, K = -8
But as K represents a length hence, K ≠ -8
So, the <u>width of the rectangle = 8 meters</u>
and the<u> length of the rectangle = 8 x 5 = 40 meters</u>
Now, Perimeter = 2(length + width)
= 2(8 + 40) = 96 meters.
So, the perimeter of the rectangle = 96 meters.