Answer:
A.

Step-by-step explanation:

Answer: (13 + y) / 5
Step-by-step explanation:
Since Grandma Gertrude gave 13 pieces of jewelry and Grandma Fien gave y pieces of jewelry to the Carlson sisters, the total jewellery given to the sisters will be:
= 13 + y
Since there are 5 Carlson sisters, the number of pieces of jewelry that each sister receive will be:
= Total jewelries / Number of sisters
= (13 + y) / 5
Let the height of the building be x. Let the initial distance of the ant from the building be y, then
tan 32 = x/y
y = x/tan 32 . . . . . . . . (1)
tan 22 = x/(y + 66)
y tan 22 + 66 tan 22 = x
y = (x - 66 tan 22)/tan 22 . . . . . . . . (2)
Equating (1) and (2), we have
x/tan 32 = (x - 66 tan 22)/tan 22
x tan 22 = x tan 32 - 66 tan 22 (tan 32)
x(tan 32 - tan 22) = 66 tan 22 (tan 32)
x = (66 tan 22 (tan 32))/(tan 32 - tan 22) = 66(0.4040)(0.6249)/(0.6249 - 0.4040) = 16.6626/0.2208 = 75.4
Therefore, the height of the building is 75.4 feet.
Answer:
40 flapjacks
Step-by-step explanation:
Given the recipe :
Recipe: Makes 10 flapjacks
120 g margarine
100 g sugar
150 mL syrup
225 g oats
40 g sultanas
Given that all other ingredients are kept Constant.
225g of oats produces 10 flapjacks
0.9 kg of oat = 0.9 * 1000 = 900g oat
If :
225 g = 10 flapjacks
900 g = x
Cross multiply :
225x = 900 * 10
225x = 9000
x = 9000 / 225
x = 40
40 flapjacks