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pashok25 [27]
3 years ago
7

One card is randomly selected from a deck of cards. Find the odds: in favor of getting a spade.

Mathematics
2 answers:
n200080 [17]3 years ago
6 0

Answer:

1/4

Step-by-step explanation:

In a deck of cards, there are 52 cards (not including jokers)

and there are 13 cards that are spades, so it's simply just 13/52 which simplifies to 1/4

Monica [59]3 years ago
3 0

Answer:

1/4 chance or 0.25 or 25%

Step-by-step explanation:

One forth of cards in a deck are spades

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The cost, in dollars, of a one-day car rental, is given by C (x) = 31 + 0.18x, where x is the number of miles driven. In this fu
julia-pushkina [17]

Answer:

hi

Step-by-step explanation:

the function is c(x) = 31 + 0.18*x

where $31 is a fixed cost, and $0.18 is the cost per mile drive (where the number of miles driven)

So the fixed cost, $31, is the cost per day of rent (this price does not depend on the number x), and the linear cost, $0.18, is the cost per mile driven (because this number is multiplied by x in the function), then the right answer is B: "$31 is the cost per day to rent the car and $0.18 is the cost per mile."

5 0
3 years ago
Prove the following statement.
gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form 2k+1 where k\in \mathbb{Z}. Consider the following cases.

Case 1. If k is even we have: (2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1.

If we denote by m=2s^2+2 we have that (2k+1)^{2}=8m+1.

Case 2. if k is odd we have: (2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1.

If we denote by m=2s^{2}+24s+1 we have that (2k+1)^{2}=8m+1

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0
3 years ago
The distance between two stations A and B is 100km.If the average speed of a train is increased by 5km/h , the time taken by the
hoa [83]

Answer:

I also occupy it they pass it to me

6 0
2 years ago
Subtract 37/55-32/55
lana66690 [7]
The answer would be 5/55 because if you subtract 32 from 37 you would end up with 5 and because the denominator was the same you keep the denominator the same.
5 0
3 years ago
Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
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