The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.
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Amount of sugar and water needed</h3>
Ratio=Lemon juice: Sugar: Water=1:2:8
Table spoons sugar needed=6×2=12
Table spoons water needed=6×8=48
Since 1 cup equals 16 tablespoons
Hence,
Sugar
12 tablespoons=1/16×12 cup
12 tablespoons=3/4 cup
Water
48 tablespoons=1/16×48
48 tablespoons=3 cups
Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.
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Answer:
Jay started with $148.5 and Kay with $24.75.
Step-by-step explanation:
With the information provided you know that Jay had 6 times as much money as Kay wich can be expressed as:
J=6K, where
J is the money Jay had
K is the money Kay had
Also, you know that Jay gave Kay $33 and Jay now has twice as much money as Kay, which would be:
J-33=2(K+33)
Now, you can replace J=6K in this equation and solve for K:
6K-33=2K+66
6K-2K=66+33
4K=66
K=24.75
Then, you can replace the value of K in J=6K:
J=6*24.75
J=148.5
According to this, the answer is that Jay started with $148.5 and Kay with $24.75.
Answer:
a. =11+ 1
b. =4x+ (-7y) + (-5z) +6
c. (-3x) + (-8y) +(-4)+(-8/7z)
Step-by-step explanation:
a. 20 - 9 + 8 -7
=11+ 1 ( this is obtained by solving)
b. 4x - 7y - 5z + 6
=4x+ (-7y) + (-5z) +6
We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.
c. -3x - 8y - 4 - 8/7z
-[ 3x+8y+4+8/7z]
or
(-3x) + (-8y) +(-4) +(-8/7z)
The minus sign is taken as common leaving the expression with the plus only.
It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.
The corresponding sides of the model and the actual bridge are in proportion because the two solids are similar.
The scale factor from the model to the actual bridge is 5/25 = 6/30 = 8/40 = 1/5.
Answer: 1/5