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Ganezh [65]
3 years ago
14

A beverage is made by mixing 1 part of water with 3 parts of fruit juice. How many parts of water are mixed with 1 part of fruit

juice?
Mathematics
2 answers:
forsale [732]3 years ago
5 0

Answer:

1/3

Step-by-step explanation:

for every 1 part of water there is 3 parts juice so if there's only 1 part juice it would be a 1/3

Jlenok [28]3 years ago
4 0

Answer:

Mix (1/3) part water with 1 part fruit juice.

Step-by-step explanation:

One approach follows:

1 part water          ↔       3 parts fruit juice

Divide both sides by 3:

(1/3) part water      ↔      3/3 parts fruit juice (same as 1 part fruit juice)

Answer:  Mix (1/3) part water with 1 part fruit juice.

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2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.
Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

(x-h)^{2} +(y-k)^{2} =r^{2}

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

(x+1)^{2} +(y-2)^{2} =36

the Center is: (-1,2)

and the radius is: \sqrt{36} = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

(x+1)^{2} +(y-2)^{2} =36

(x+1)^{2} +(2-2)^{2} =36

(x+1)^{2} +(0)^{2} =36

(x+1)^{2}  =36

x+1 =±\sqrt{36}

x=6-1    AND    x=-6-1

x=5          AND    x=-7

  • The points are A(5,2)  and  B(-7,2)

second sub x= -1 in the equation to find the values for y:

(x+1)^{2} +(y-2)^{2} =36

(-1+1)^{2} +(y-2)^{2} =36

(0)^{2} +(y-2)^{2} =36

(y-2)^{2} =36

y-2=±\sqrt{36}

y=6+2    AND    y=-6+2

y=8          AND    y=-4

  • The points are D(-1,8)  and  E(-1,-4)      

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0
3 years ago
All of the following are correct except _____. 3 2 + 5 - 2 = 12 3 2 - 5 + 2 = 6 3 2 5 + 2 = 47 3 2 + 5 2 = 28
zepelin [54]

Answer:

269

Step-by-step explanation:

5 0
3 years ago
what do you think the sum of the probabilities for all the possible outcomes must be for any situation. explain
raketka [301]
Let's pose this question a different way: what are the chances that one out of all possible events is going to happen? What are the chances that, if I roll a die, I will roll a 1, 2, 3, 4, 5, or a 6? What is the probability, if I flip a coin, that the outcome will either be heads or tails? When we take every possible outcome and add their probabilities together, the sum of the probabilities will be 100%, or 1.

Example:
Coin Toss:
Prob of Heads (.5) plus Prob of Tails (.5) = 1
Dice roll: 
1/6 (odds of rolling any given number) times 6 (number of possibilities) = 1
4 0
3 years ago
30 kg of tomatoes cost $93. how much would 14 kg cost
katovenus [111]

Answer:

$43.4

Step-by-step explanation:

Let's say x is the cost per kilgram

30x = 93

x = 3.1

14x = 43.4

8 0
3 years ago
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relat
Alex73 [517]

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

4 0
3 years ago
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