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Nuetrik [128]
2 years ago
9

You use a juice mix to make orange juice. You combine 12 ounces of the mix with 36

Mathematics
2 answers:
almond37 [142]2 years ago
8 0
12 and 36 both can be divided by 12 which is 1 and 3 
So the ratio is 1:3

Vlad1618 [11]2 years ago
6 0

Answer:

3 : 1 is the unit rate.

OR

1 : \frac{1}{3}

Step-by-step explanation:

We have to prepare a mix of orange juice and water.

12 ounces of juice is mixed with 36 ounces of water.

So the ratio that defines the mixture of water and orange juice as 36 : 12

This ratio when simplified will give a ratio of 3 : 1

Therefore, the unit rate is 3 : 1 that defines the mixture of 3 ounce of water with 1 ounce of orange juice.

Similarly, other unit rate that defines the mix will be 12 : 36

= \frac{12}{36}:\frac{36}{36}

= \frac{1}{3}:1

The unit rate \frac{1}{3}:1 defines the mixture of 1 ounce of water with \frac{1}{3} ounce of juice.

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Caleb's monthly bank statement showed the following deposits and withdrawals:
Crazy boy [7]

Answer:

$174.72

Step-by-step explanation:

105.88+43.50+36.61+92.78-38.19-65.86=174.72

6 0
2 years ago
Systems of linear equations ; elimination method<br><br><br> pls help&lt;3
Basile [38]
<h3>Answer:</h3>

System

  • 10s +25t = 11700
  • s -2t = 0

Solution

  • s = 520
  • t = 260
<h3>Explanation:</h3>

Let s and t represent single-entry and three-day tickets, respectively. These variables represent the numbers we're asked to find: "how many of each [ticket type] he sold."

We are given the revenue from each ticket type, and the total revenue, so we can write an equation based on the relation between prices, numbers sold, and revenue:

... 10s +25t = 11700 . . . . . equation for total revenue

We are also given a relation between the two number of tickets sold:

... s = 2t . . . . . . . . . . . . . . . twice as many single tickets were sold as 3-day

We can rearrange this second equation to put it into standard form. That makes it easier to see what to do to eliminate a variable.

... s -2t = 0 . . . . . . . . . . . . subtract 2t to put into standard form

So, our system of equations is ...

  • 10s +25t = 11700
  • s -2t = 0

<em>What </em>elimination<em> is all about</em>

The idea with "elimination" is to find a multiple of one (or both) equations such that the coefficients of one of the variables are opposite. Then, the result of adding those multiples will be to eliminate that variable.

Here, we can multiply the second equation by -10 to make the coefficient of s be -10, the opposite of its value in the first equation. (We could also multiply the first equation by -0.1 to achieve the same result. This would result in a non-integer value for the coefficient of t, but the solution process would still work.)

Alternatively, we can multiply the first equation by 2 and the second equation by 25 to give two equations with 50t and -50t as the t-variable terms. These would cancel when added, so would eliminate the t variable. (It seems like more work to do that, so we'll choose the first option.)

<em>Solution by elimination</em>

... 10s +25t = 11700 . . . . our first equation

... -10s +20t = 0 . . . . . . . second equation of our system, multiplied by -10

... 45t = 11700 . . . . . . . . .the sum of these two equations (s-term eliminated)

... t = 11700/45 = 260 . . . . . divide by the coefficient of t

... s = 2t = 520 . . . . . . . . . . use the relationship with s to find s

_____

<em>Solution using your number sense</em>

As soon as you see there is a relation between single-day tickets and 3-day tickets, you can realize that all you need to do is bundle the tickets according to that relation, then find the number of bundles. Here, 2 single-day tickets and 1 three-day ticket will bundle to give a package worth 2×$10 + $25 = $45. Then the revenue of $11700 will be $11700/$45 = 260 packages of tickets. That amounts to 260 three-day tickets and 520 single-day tickets.

(You may notice that our elimination solution effectively computes this same result, where "t" and the number of "packages" is the same value (since there is 1 "t" in the package).)

6 0
3 years ago
What is an equation of the line that passes through the point (-4,-6) and is
Bess [88]

Answer:

2x-y=6

2*(-4)-(-6)=6

-8+6=6

-2=6

8 0
3 years ago
Carlos started at sea level, climbed a
igomit [66]
19-14? I think first you need to find sea level.
8 0
3 years ago
John into friends are going out for pizza for lunch they split one pizza in three large pizza cost $12 he spent a total of 16.95
grin007 [14]

The large drink is 4$

7 0
3 years ago
Read 2 more answers
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