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Liono4ka [1.6K]
2 years ago
7

Melanie is making lemonade and finds a recipe that calls for 1 part lemon juice 2 parts sugar and 8 parts water. She juices 2 le

mons to obtain 6 tablespoons of lemon juice. How much sugar and water will she need to make lemonade with the same ratio of ingredients as the recipe?
Mathematics
1 answer:
Alex17521 [72]2 years ago
7 0

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.  

<h3>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.  

Learn more about amount of sugar and water needed here:brainly.com/question/9109790

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IgorC [24]

A standard die has numbers = 1,2,3,4,5 and 6

Total outcomes = 6

P = Number of outcomes/Total Outcomes

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P = 5/6

Answered by GauthMath if you like please click thanks and comment thanks

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3 years ago
A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma
White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}​

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}​

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}​

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

8 0
3 years ago
Read 2 more answers
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Free_Kalibri [48]

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

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Need help with math homework
Pavel [41]

Hello!

The answer for A is:

X1=-1\\X2=5

The answer for B is: The rocket will hit the lake surface in 5 seconds.

<h2>Why?</h2>

Defining the terms:

a=-16\\b=64\\c=80\\

So, replacing it in the quadratic equation (it's given to you in the exercise)\\

x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

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We are working with a quadratic equation, so we will have two possible results,

X1=-1\\X2=5\\

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.

Have a nice day!

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Answer:

606.25

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Step 2: M for Multiply. You multiply your answer from step 1 and your divisor: 1 x 5 = 5. ...

Step 3: S for Subtract. Next you subtract. ...

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Step 2: M for Multiply. ...

Step 3: S for Subtract.

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