Forty tickets are sold for a raffle with two prizes. You buy two tickets. What is the probability that you will win both prizes?

Answers

Answer 1
Answer: Well, the first one is 2/40=1/20. The 2nd one is 1/39. You multiply these to get 1/780.

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Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric, plus 20% extra fabric. Derek bought 3 yards of fabric, plus 25% extra. Who bought more fabric? How much more?

Answers

Answer:

Jessica bought 2.25 yards more material than Derek.

Step-by-step explanation:

Jessica bought 5 yards of fabric.

20% extra fabric = 20% of 5

                            = (20×5)/100

                            = 1 yard

Total fabric bought by Jessica = 5+1 = 6 yards

Derek bought 3 yards of fabric.

20% extra fabric = 25% of

                            = (25×3)/100

                            = 0.75 yard

Total fabric bought by Derek = 3 + 0.75 = 3.75 yards

So,

Difference = 6 - 3.75 = 2.25 yards

Answer: Jessica bought 2.25 yards more material than Derek.

For more information:

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20% = 0.2
(5 * 0.2) + 5
5 * 0.2 = 1
5 + 1 = 6

25% = 0.25
(3 * 0.25) + 3
3 * 0.25 = 0.75
3 + 0.75 = 3.75

6 - 3.75 = 2.25

Jessica bought 2.25 yards more material than Derek.

How many combinations of 3 students can a teacher choose from 32 students?   A. 96   B. 4960   C. 29,760   D. 32,768

Answers

(32*31*30)/(3*2*1)

The answer is:(29760)/(6) or 4960 


{32\choose3}=(32!)/(3!*(32-3)!)=(30*31*32)/(6)=4960

How do you graph 1/3x-1/6y=-2/3

Answers

-1/3x from both sides

Divide -1/6 from both sides

Then graph

Final answer:

To graph the equation 1/3x - 1/6y = -2/3, rearrange it into slope-intercept form (y=mx+b), plot the y-intercept at (0, 4), and use the slope (2) to find additional points on the line.

Explanation:

To graph the equation 1/3x - 1/6y = -2/3, we can rearrange it into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Start by isolating y variable by adding 1/6y to both sides of the equation:

1/6y = 1/3x + 2/3

Then, multiply both sides of the equation by 6 to eliminate the fraction:

y = 2x + 4

Now, we can see that the slope (m) is 2 and the y-intercept (b) is 4. To graph this equation, plot the y-intercept at (0, 4) and then use the slope (2) to find additional points on the line.

Learn more about Graphing Linear Equations here:

brainly.com/question/14240165

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You are paid $82.50 for 71212 hours of work. What is your rate of pay?

Answers

If you would like to know what is your rate of pay, you can calculate this using the following steps:

$82.50 ... 7.5 hours
$x = ? ... 1 hour

82.50 * 1 = 7.5 * x
82.50 = 7.5 * x     /7.5
x = 82.50 / 7.5
x = $11

The correct result would be $11 per hour.

A bottlenose dolphin can swim 2.68 meters per second. Find the dolphin speed in miles per hour

Answers

Answer:

The dolphin speed in miles per hour is 6

Step-by-step explanation:

we know that

1 mi=1,609.34 m ------> 1 m=1/ 1,609.34 mi

1 h= 3,600 sec ----> 1 sec=1/3,600 h

we have

2.68(m)/(sec)

Convert to mi/h

2.68(m)/(sec)=2.68((1/1,609.34))/((1/3,600))=6(mi)/(h)

Answer:

6

Step-by-step explanation:

1. What is the volume of the cube?( 15 mm )
A.
1350 mm3
B.
225 mm3
C.
45 mm3
D.
3375 mm3

Answers

I'm guessing 15 mm is the side length.

V = a^3

Where 'a' is the side length.

V = 15^3

V = 3375

So the volume of the cube is 3375 mm^3.
a cube volume is side legnth=x    x^3
so assuming that 15 is the side legnth then
15^3=15 times 15 times 15=3375mm^3 which is D