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3 years ago

Deacon had 12 1/3 ounces of juice, but he drank 3 2/3 ounces. How much juice is left?

1 answer:

alexandr1967 [171]3 years ago

8 0

You need to know:

$a \frac{b}{c} = a + \frac{b}{c} = \frac{(a*c) + b}{c}$

Be careful though:

$a \frac{b}{c} ≠ a(\frac{b}{c})$

Using this principle, we can say:
12 1/3 = 37/3
3 2/3 = 11/3
Quantity of juice left = Initial quantity - Quantity drunk
So:
Quantity of juice left = 37/3 - 11/3 = 26/3

There will be 26/3 ounces of juice remaining after 3 2/3 are drunk from the total of 12 1/3 ounces that Deacon had initially.

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MA_775_DIABLO [31]

Answer:

Answer is in pictures

Step-by-step explanation:

36=6x6 90=9x10

256+7=263 104=98+6-2

678=678 81+9=90

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2 years ago

Two smaller triangle have areas of 75 m square and 12 m squared. find the ratio of their perimeters

Paul [167]

we know that two similar triangles will have ratio corresponding side is same.

ratio triangle 1 is 75m^2.

and triangle 2 is 12m^2.

$75:12=\frac{75}{12} =\frac{25}{4} .$

so we have ratio of area $25:4$ .

ratio of perimeter will be $\frac{25}{4} =\frac{50}{8} =\frac{25}{12}$ .

from these perimeter ratio also $\frac{25}{4} =25:4$ .

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3 years ago

How many rectangles can you make out of 18 cubes?

-Dominant- [34]

1*1*18
1*2*9
1*3*6
2*3*3

4 0

3 years ago

Read 2 more answers

Given the points A(-10, -4) and B(14, 4), find the coordinates of the point P on the directed line segment AB that partitions AB

anastassius [24]

Answer:

P(5, 1)

Step-by-step explanation:

Segment AB is to be partitioned in a ratio of 5:3. That means the ratio of the lengths of AP to PB is 5:3. We need to find the ratio of the lengths of AP to AB.

AP/PB = 5/3

By algebra:

PB/AP = 3/5

By a rule of proportions:

(PB + AP)/AP = (3 + 5)/5

PB + AP = AP + PB = AB

AB/AP = 8/5

AP/AB = 5/8

The first part of the segment is 5/8 of the length of the segment, and the second part of the segment has length of 3/8 of the length of segment AB.

Point P is located 5/8 of the distance from point A to point B. The x-coordinate of point P is 5/8 of the difference in x-coordinates added to the x-coordinate of point A. The y-coordinate of point P is 5/8 of the difference in y-coordinates added to the y-coordinate of point A.

x-coordinate:

difference in coordinates: |14 - (-10)| = |14 + 10| = 24

5/8 of 24 = 5/8 * 24 = 15

Add 15 to the x-coordinate of point A: -10 + 15 = 5

x-coordinate of point P: 5

y-coordinate:

difference in coordinates: |4 - (-4)| = |4 + 4| = 8

5/8 of 8 = 5/8 * 8 = 5

Add 5 to the y-coordinate of point A: -4 + 5 = 1

y-coordinate of point P: 1

Answer: P(5, 1)

3 0

3 years ago

Help binomial distributions

Ymorist [56]

We have the formula to compute the probability of having exactly k successed over n trials, given a probability p of success (and implicitly a probability 1-p of failure), which is

$P(\text{k successed on n trials}) = \binom{n}{k}p^k(1-p)^{n-k}$

Now, the probability of at least 3 successes is the union of the following event: exactly three successes,exactly four successes and exactly five successes.

We can compute their probability and sum them: $\binom{5}{3}\left(\frac{3}{7}\right)^3\left(\frac{4}{7}\right)^2 + \binom{5}{4}\left(\frac{3}{7}\right)^4\left(\frac{4}{7}\right)^1 + \binom{5}{5}\left(\frac{3}{7}\right)^5 \approx 0.36788$

So, the answer is about 36.79%

3 0

3 years ago