Question
evaluate a+b for a =34 and b=-6
a + b =
34 + (-6) =
34 - 6 =
28
Answer: the mixture contained 15 pounds of white chocolate and 5 pounds of dark chocolate.
Step-by-step explanation:
Let x represent the number of pounds of white chocolate in the candy shack mixture.
Let y represent the number of pounds of dark chocolate in the candy shack mixture.
The candy shack has 20 lb of mixed white and dark chocolate. This means that
x + y = 20
The 20lb mixture is worth $7.50 per pound. This means that the total cost of the mixture is
20 × 7.50 = $150
White chocolate alone sells for $8.00 per pound and dark chocolate sells for 6.00 per pound. This means that
8x + 6y = 150 - - - - - - - - - - - - - -1
Substituting x = 20 - y into equation 1, it becomes
8(20 - y) + 6y = 150
160 - 8y + 6y = 150
- 8y + 6y = 150 - 160
- 2y = - 10
y = - 10/ - 2
y = 5
x = 20 - y = 20 - 5
x = 15
the right answer is an=5(3)^(n-1)/2
Answer:
6 inches
Step-by-step explanation:
the formula for the volume of a rectangular prism is width*length*height.
Here we are asked to find the height when given a volume. The resultant equation is:
volume = w * l * h
192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:
192 cu.in./32 sq.in.= h inches
6 inches = height
Answer:
The percentage = (1.06/15.9) x 100℅
= 6.67℅
Step-by-step explanation:
For the two pan to be balanced in other to measure an object's accurate weight, the fulcrum must be exactly in the mid point of the distance/separation between the two pans.
In the case in this question, the dishonest shopkeeper has shifted the fulcrum by 1.06cm.
The pan separation is 31.8cm
The fulcrum position must be 31.8/2 = 15.9cm, for it to be balanced.
The percentage by which the true weight marked up by the shopkeeper is:
(1.06/True fulcrum position) x 100℅
