Answer: Length = 15 meters
Width = 2 meters
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
Area of a rectangle = l × w
where l = length
w = width
Therefore,
2l + 2w = 34 ...... i
l × w = 30 ........ ii
From equation i
2l + 2w = 34
Divide through by 2.
l + w = 17 ...... iii
Then, l = 17 - w ........ iv
Put equation iv into ii
l × w = 30
(17 - w) × w = 30
17w - w² = 30
w² - 17w + 30 = 0
w² - 15w - 2w + 30 = 0
w(w - 15) - 2(w - 15) = 0
(w - 2) = 0
w = 0 + 2 = 2
w - 15 = 0
w = 0 + 15 = 15
Length = 15 meters
Width = 2 meters
Plug the x in :)
3(2) + 8
6 + 8
=14
Answer:
Step-by-step explanation:
|E| + |F|
|1| + |-10|=11
Answer=11
Answer:
Step-by-step explanation:
It is given that the snack shop makes 3 mixes of nuts in the following proportions.
Mix I: 6 lbs peanuts, 2 lbs cashews, 2 lbs pecans.
Mix II: 5 lbs peanuts, 3 lbs cashews, 2 lbs pecans.
Mix III: 3 lbs peanuts, 4 lbs cashews, 3 lbs pecans.
they received an order for 25 of mix I, 18 of mix II, and 35 of mix III.
We need to find the matrices A & B for which AB gives the total number of lbs of each nut required to fill the order.
Mix I Mix II Mix III
peanuts 6 5 3
cashews 2 3 4
pecans 2 2 2
The product of both matrices is
Therefore matrix AB gives the total number of lbs of each nut required to fill the order.
Answer:
The mass of cocoa in chocolate candy is 3 g.
Step-by-step explanation:
30gr chocolate candy, mark on its packaging that it contains 10% cocoa, how many grams of cocoa does this represent?
mass of chocolate candy = 30 g
cocoa contains = 10 %
Now the mass of cocoa = 10 % of 30 g = 0.1 x 30 = 3 g
Mass of cocoa in the candy is 3 g.
