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Andreas93 [3]
4 years ago
10

Points G, E, and O are collinear on segment GO, and GE:EO = 3:4. G is located at (-5,-1), O is located at (9,6). What are the co

ordinates of point E?
Mathematics
1 answer:
pishuonlain [190]4 years ago
4 0

Answer:

  E = (1, 2)

Step-by-step explanation:

You want ...

  (E -G) : (O -E) = 3 : 4

  4(E -G) = 3(O -E) . . . . . . . . "cross multiply"

  4E -4G = 3O -3E . . . . . . . . eliminate parentheses

  7E = 4G + 3O . . . . . . . . . . . add 3E+4G

  E = (4G +3O)/7 . . . . . . . . . .divide by 7

  E = (4(-5, -1) +3(9, 6))/7 = (-20+27, -4+18)/7 = (7, 14)/7 . . . . fill in G and O

  E = (1, 2)

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Events A and B are such that P(A) = 3 8 , P(B) = 2 7 and P(A ∩ B) = 1 7 Work out P(A|B)
tigry1 [53]

Answer:

\frac{17}{27}

Step-by-step explanation:

Given: Events A and B are such that P(A)=38\,,\,P(B)=27 and P(A∩B) = 17

To find: P(A|B)

Solution:

Probability refers to the chances of occurrence of any event.

An event is described as an outcome of a random experiment.

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P(A|B)= P(A∩B) ÷ P(B) = \frac{17}{27}

3 0
3 years ago
A box contains 6 red pens and 4 blue pens. Cory randomly picks a pen from
Monica [59]

Answer:

Hay  probabilidad

Step-by-step explanation:

porque hay mas boligrafos rojos que azules

4 0
3 years ago
3. A full-price ticket for a college basketball game costs $2.50, and a student ticket costs $1.75. If
Dennis_Churaev [7]

Let's say x = full price tickets

Let's say y = student tickets

We can write two equations:

From "585 tickets were sold" we can make the equation:

x + y = 585

And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:

2.50x + 1.75y = 1,217.25

So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.

x + y = 585

x + y - y = 585 - y

x = 585 - y

Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25

Distribute your 2.50

1462.5 - 2.50y + 1.75y = 1217.25

Add the y's: 1462.5 - 0.75y = 1217.25

Subtract 1462.5 from both sides:

1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5

-0.75y = -245.25

Divide both sides by -0.75:

y = -245.25/-0.75

y = 327

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3 0
4 years ago
The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil.
AleksAgata [21]

Answer:

450L

Step-by-step explanation:

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\dfrac{20 lbs}{3L}

The unknown ratio in this case is:

\dfrac{3,000lbs}{xL}

So to do this, we just set up the proportion and solve for it:

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7 0
3 years ago
Toya's dachshund puppy can sprint at a speed up to 15 feet per second. What is this speed in inches per
Andrei [34K]
It would be 180 inches per second

reason: there are 12 inches in a foot so you multiply 12 times 15 and get 180:)
8 0
3 years ago
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