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3 years ago

How do I find the y value for point I such that DI and EI form a 3:5 ratio.

Mathematics

2 answers:

liraira [26]3 years ago

6 0

3:5 ratio mean there are 8 "parts" (3 + 5 = 8)

The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction.
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.

Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8

So the point I is (0, 25/8)

kodGreya [7K]3 years ago

4 0

Answer:

3.125

Step-by-step explanation:

duh

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350

Step-by-step explanation:

If there are 210 girls, then the number of boys is (210÷3)x7=350.

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3 years ago

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Consider the game of independently throwing three fair six-sided dice. There are six combi- nations in which the three resulting

Murrr4er [49]

Answer:

See explanation below.

Step-by-step explanation:

1) First let's take a look at the combinations that sum up 10:

1+3+ 6,
1+ 4+ 5,
2+2+6,
2+3+5,
2 + 4 + 4,
3+3+4

Notice that when we have 3 different numbers on the dice, we can permute them in 6 different ways. For example: Let's take 1 + 3 + 6, we can get this sum with these permutations:

1 + 3 + 6, 1 + 6 + 3, 3 + 6 + 1, 3 + 1 + 6, 6 + 1 + 3, 6 + 3 + 1.

And when we have two different numbers on the dice, we can permute them in 3 different ways:

2 + 2 + 6, 2 + 6 +2, 6 + 2 + 2.

So now we're going to write down the 6 combinations that sum up 10 but we're going to write down how many permutations of them we get:

1+3+ 6 : 6 permutations
1+ 4+ 5 : 6 permutations
2+2+6: 3 permutations
2+3+5: 6 permutations
2 + 4 + 4: 3 permutations
3+3+4: 3 permutations

Total of permutations: 6 + 6 + 3 + 6 + 3 + 3 =27.

Thus we have 27 different ways of getting a sum of 10.

2) Now we're going to take a look at the combinations that sum up 9 and we're going to proceed in a similar way:

1 + 2 + 6: 6 permutations
1+3+5: 6 permutations
1+4+4: 3 permutations
2+ 3+ 4: 6 permutations
2+2 +5: 3 permutations
3+3+3: 1 permutation.

Total of permutations: 6 + 6 + 3 + 6 +3 + 1 = 25.

Thus we have 25 different ways of getting a sum of 10

And we can conclude that the probability of getting a total of 10 is larger than the probability to get a total of 9.

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3 years ago

Fix the sentence by following the apostrophe rule.

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Strong children's education is essential to the progress of any nation.

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2 years ago

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Please awnser in link below

xenn [34]

Answer:

You will get 13 groups.

Step-by-step explanation:

324 / 24 = 13.5 So there are 13 groups with 5 left over. Hope this helps.

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3 years ago

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Perform the indicated operation. 1 1/6 + 7 3/6 = I HAVE 5 MINUTES!!!

gizmo_the_mogwai [7]

Answer:

1 1/6 - 7 3/6 = -19/

= -6 1/

≅ -6.3333333

Step-by-step explanation:

Conversion a mixed number 1 1/

to a improper fraction: 1 1/6 = 1 1/

= 1 · 6 + 1/

= 6 + 1/

= 7/

To find new numerator:

a) Multiply the whole number 1 by the denominator 6. Whole number 1 equally 1 * 6/

= 6/

b) Add the answer from previous step 6 to the numerator 1. New numerator is 6 + 1 = 7

c) Write a previous answer (new numerator 7) over the denominator 6.

One and one sixth is seven sixths

Conversion a mixed number 7 3/

to a improper fraction: 7 3/6 = 7 3/

= 7 · 6 + 3/

= 42 + 3/

= 45/

To find new numerator:

a) Multiply the whole number 7 by the denominator 6. Whole number 7 equally 7 * 6/

= 42/

b) Add the answer from previous step 42 to the numerator 3. New numerator is 42 + 3 = 45

c) Write a previous answer (new numerator 45) over the denominator 6.

Seven and three sixths is forty-five sixths

Subtract: 7/

- 45/

= 7 - 45/

= -38/

= 2 · -19/

2 · 3

= -19/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 6) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 6 = 36. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven sixths minus forty-five sixths = minus nineteen thirds.

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