Answer:
1 1/4 kg
Step-by-step explanation:
Maggie made 3kg of fudge. She and her friends ate some and now there are 1 3/4 kg left. How many kg of fudge did maggie and her friends eat?
The kg of fudge thay maggie and her friends ate is calculated as:
Initial kg of fudge - kg of fudge left
= 3 kg - 1 3/4 kg
3/1 kg - 7/4 kg
Lowest common denominator = 4
= 12 - 7/4 kg
= 5/4 kg
= 1 1/4 kg
Answer: 20 oz of juice concentrate and 60 oz of water.
Explanation:
Translate the word statements into algebraic expressions to set a system of equations that you can solve.
1) Name the variables:
- j: parts of juice concentrate
- w: parts of water
2) Statement one, 2 parts juice concentrate to 6 parts water, translates into a proportion:
j / w = 2 / 6
3) Statement two, 80 oz of the drink, tanslates into an equality:
j + w = 80
4) Solve the system to find how many oz of juice concentrate and water Elena needs:
a) System:
j / w = 2 / 6
j + w = 80
b) Solve for w in the first equation: w = 6j / 2 = 3j
c) Substitute w in the second equation: j + 3j = 80
d) Combine like terms: 4j = 80
e) Use division property of equality: j = 20
f) Substitue in w = 3j: 3 = 3(20) = 60.
5) Solution: j = 20, w = 60.
6) Verify:
- j / w = 20 / 60 = 2 / 6 ⇒ right
- j + w = 20 + 60 = 80 ⇒ right
Answer:
4
Step-by-step explanation:
gradient=vertical distance /Horizontal distance
G=V/H
G = -4/-1
G =4
Answer:
y= 5x-3
Step-by-step explanation:
It works with the y=mx+b form. 5 is slope so it is m, and when u do 5(2)=10. In order to get to 7 u must subtract 3, so the answer is y=5x-3! Ur welcome!