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Sonbull [250]
3 years ago
13

3. In his collection, Marco has 5 large gold coins, 12 large silver coins, 15 small gold coins, and 3 small silver coins. If he

randomly picks a coin, what is the
probability that it is gold, given that it is small?

3/4
5/6
3/7
18/35
Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

5/6

Since it is given that it is small, only worry about the small coins.

There are 18 total small coins and 15 of them are gold so 15/18 is the probability or when simplified = 5/6

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Write an equation in slope-intercept form of the line that passes through (-5, 19) and (5.13).
ruslelena [56]

Answer:

y=-3/5x+16

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(13-19)/(5-(-5))

m=-6/(5+5)

m=-6/10

simplify

m=-3/5

y-y1=m(x-x1)

y-19=-3/5(x-(-5))

y-19=-3/5(x+5)

y=-3/5x-15/5+19

y=-3/5x-3+19

y=-3/5x+16

3 0
3 years ago
The length of a rectangle is two more than twice the width. the perimeter is 58ft. what is the area of the rectangle?
goldenfox [79]

58/2 = 29

w +2w+2 = 29

3w+2 =29

3w = 27

w = 27/3 = 9

 width = 9

length = 2*9=18+2 = 20

20+20+9+9 = 58

Length = 20 feet

width = 9 feet


5 0
3 years ago
I need this on khan academy.
Alja [10]

9514 1404 393

Answer:

  A.  (1 2/3, 4 2/3)

Step-by-step explanation:

If you graph the equations, you see the lines intersect at the solution point:

  (x, y) = (1 2/3, 4 2/3)

7 0
3 years ago
Identify each function that has a remainder of -3 when divided x+6
Sergeu [11.5K]

Answer:

D

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

<em>So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.</em>

<em />

<em>For A:</em>

x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494

For B:

x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6

For C:

x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583

For D:

x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

5 0
3 years ago
If one zero of the following polynomial 8x^2-13x-4k is the reciprocal of the other, then find k
Lana71 [14]

Answer:

Step-by-step explanation:

hello :

if x1 and x2 this zero for ax²+bx+c  you have : x1 = 1 /x2  means :x1 × x2 =1

but : x1 × x2 = c /a

in this exercice : a =8  and b = -13  and c = - 4k

so : c/a =-4k/8

so : -4k/8 = 1

-4k = 8        k = 8/-4      k = -2  

this polynomial is : 8x²-13x +8

6 0
3 years ago
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