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dedylja [7]
3 years ago
13

a bottle of juice holds 3/8 gallon when it is full. if 1/3 of the juice has been poured out, how much juice is left in the bottl

e?
Mathematics
1 answer:
taurus [48]3 years ago
4 0
Let's get the denominators of both fractions to be the same before moving on, aka finding the least common multiple of the denominators.

8 and 3 have a LCM of 24. So, we have to multiply 1/3 by 8 and 3/8 by 3.

1/3 * 8/8 = 8/24

3/8 * 3/3 = 9/24

There is only 1/24 of juice left in the bottle if the remaining amount of juice has 1/3 poured out.

Hope that helped.
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Solve the systems of equation by graphing (Picture provided)
11Alexandr11 [23.1K]

Answer:

Option b

Step-by-step explanation:

The following system of linear equations is shown

x + y = 8\\2x + y = 3

These are two different slope lines.

We find the cut points of both lines with the axes.

x + y = 8

Cut with the x axis. (y = 0)

x = 8

Cut with the y axis. (x = 0)

y = 8

...................................................................

2x + y = 3

Cut with the x axis. (y = 0)

2x = 3\\x = 1.5

Cut with the y axis. (x = 0)

y = 3

The solution to this system will be a point for which it is fulfilled that:

x + y - 8 = 2x + y-3

In the image, different graphs with intersections are shown.

Locate among the options, one that shows the two lines of the system of equations according to their intersections with the x and y axes.

Option b is the only one that shows the graph of the lines

x + y = 8\\2x + y = 3

Then, The point of intersection of both lines in the graph is:

(-5, 13)

Therefore the solution of the system of equations is: (-5, 13)

You can verify this by replacing the point in the relationship

x + y - 8 = 2x + y-3\\\\(-5) +13 -8 = 2 (-5) +13 -3\\\\0 = 0

Equality is satisfied

Finally the answer is the option b

8 0
3 years ago
Write and solve using a proportion to find the missing length
Savatey [412]

Answer:

n = 2.6

Step-by-step explanation:

6.5 : 5

n : 2

6.5/5 = 1.3

2 x 1.3 = 2.6

n = 2.6

i hope this helps

3 0
3 years ago
What's the number when the quotient of a number and -7 decreased by 2 is 10?
dsp73
Let's read through this and make an equation:
? ("number")
? / -7 ("quotient of a number and -7")
(? / -7) - 2 ("decreased by 2")
<span>(? / -7) - 2 = 10 ("is 10")
</span>
Now we can solve:
<span>(? / -7) - 2 = 10
</span><span>? / -7 = 12
</span>? = -84

The number is -84
3 0
3 years ago
How many times can 4 going to 288
fredd [130]

288 devided by 4 is 72

4 can go into 288 72 times

6 0
3 years ago
Read 2 more answers
2. Scholarships The probability that Samantha will be accepted by the college of her choice and
charle [14.2K]

The probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Given that the probability that Samantha will be accepted by the college of her choice and obtain a scholarship is 0.35, to determine, if the probability that she is accepted by the college is 0.65, the probability that she will obtain a scholarship given that she is accepted by the college, the following calculation must be performed:

  • 0.65X = 0.35
  • X = 0.35 / 0.65
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Therefore, the probability that she will obtain a scholarship given that she is accepted by the college is 0.54.

Learn more about maths in brainly.com/question/26075432

3 0
2 years ago
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