The amount $180.00 is what percent greater than $135.00? A. 33.33% B. 25% C. 133.33% D. 35%

Answers

Answer 1

Answer: the answer is A. 33.33%

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Suppose the auction house from the preceding problem sold 200 tickets at $1 each, and had 16 prizes of $10 each. What is the new expected value?A) $0 B) $0.2 C) –$0.2 D) $0.8
2 (x-4)=8 help me solve step by step

I am a number greater than 40,000 and less than 60,000. My ones digit and tens digit are the same. My ten-thousands digit is 1 less than 3 times the sum of my ones digit and tens digit. My thousands digit is half my hundreds digit, and the sum of those two digits is 9. What number am I?

Answers

I am a number greater than 40,000 and less than 60,000:

40,000 < n < 60,000

This means that:

n = 10,000n₁ + 1,000n₂ + 100n₃ + 11n₄

And also:

4 ≤ n₁ < 6

0 ≤ n₂ ≤ 9

0 ≤ n₃ ≤ 9

0 ≤ n₄ ≤ 9

My ten thousands digit is 1 less than 3 times the sum of my ones digit and tens digit:

n₁ = 3*2n₄ - 1

n₁ = 6n₄ - 1

This means that:

n = 10,000*(6n₄-1) + 1,000n₂ + 100n₃ + 11n₄

n = 60,000n₄ - 10,000 + 1,000n₂ + 100n₃ + 11n₄

n = 60,011n₄ - 10,000 + 1,000n₂ + 100n₃

My thousands digit is half my hundreds digit, and the sum of those two digits is 9:

n₂ = 1/2 * n₃

n₂ + n₃ = 9

Therefore:

n₂ = 9 - n₃

Therefore:

9 - n₃ = 1/2 * n₃

9 = 1/2 * n₃ + n₃

9 = 1.5 * n₃

Therefore:

n₃ = 6

If n₃=6, n₂=3.

This means that:

n = 60,011n₄ - 10,000 + 1,000*3 + 100*6

n = 60,011n₄ - 10,000 + 3,000 + 600

n = 60,011n₄ - 6,400

Therefore:

0<n₄<2, so n₄=1.

If n₄=1:

n = 60,011 - 6,400

n = 53,611

Answer:

53,611

Tara's player for cds the length of the cds are 45 minutes 52 minutes 38 minutes and 47 minutes if it takes her 2 minutes to change each cd how long will it take to play all four cds

Answers

To determine the amount of time she will need to play all the cd's, we add up the time in minutes.
45 minutes + 52 minutes + 38 minutes + 47 minutes
which is equal to 182 minutes. Then, Tara needs to shift from one cd to another for 3 times and this will take her a total of 6 minutes. Thus, the total number of minutes she will need in order to play all four cds is 188 minutes.

Erika and Bradley want to hike the Big Cypress Trail. They will hike a total of 72 milles FErika and Bradley want to hike 16 miles each day, how many days will they hike exadty 16 miles? They will hike exactly 16 miles each day for days.

Answers

Answer: They will hike exactly 16 miles each day for 4 days.

Step-by-step explanation:

Given: Total distance to hike = 72 miles

They hike 16 miles per day.

Total days they will take to complete the distance = $\frac{\text{Total distance to hike}}{\text{Distance hiked each day}}$

$=(72)/(16)\n\n=(9*8)/(2*8)=\frac92\n\n=4\frac12$

It will take 4 complete days and a half day to complete the journey.

i.e. They will hike exactly 16 miles each day for 4 days.

Please solve equation
-3x2+243=0

Answers

Answer is 9.

-3x^2 + 243 = 0
Bring 243 to the right.
-3x^2 = -243
Divide by -3.
x^2 = 243/3 = 81
Tak the square root of both sides.
x = 81^1/2 = 9.

$-3x^2+243=0\n \n -3x^2=-243\n \n x^2=(-243)/(-3)\n \n x^2=81\n \n x=\pm√(81)\n \n \boxed{x=\pm9}$

(Geometry), homework please help

Answers

4.That first one sounds familiar; I think I did it yesterday.

The sides don't matter (except that they're equal) so the base angle b satisfies

b + b + 38 = 180

2b = 142

b = 71

Choice a

42 + 42 + v = 180

v = 180 - 84 = 96

choice d

6. That's three acute angles, an acute triangle

7. We need to satisfy the triangle inequality which means the sum of the two smaller sides needs to be bigger than the largest

10+15>24 so choice b

SRT = RTS = 180 - STU

3x - 50 = 180 - 7x

10 x = 230

x = 23

choice a

Jim goes canoeing on a local stream that has been measured to flow at 2 mph. If he can go 9 miles upstream in the same time it takes him to go 15 miles downstream, find how fast he can go in still waters.

Answers

Answer: This is a problem of solving a system of linear equations. Let x be the speed of Jim in still waters, and y be the speed of the stream. Then we have:

{x+y=15/tx−y=9/t

where t is the time it takes Jim to go upstream or downstream. We can solve this system by adding the two equations and eliminating y:

2x=24/tx=12/t

Then we can substitute x into one of the equations and solve for y:

y=15/t−12/ty=3/t

Since we know that the speed of the stream is 2 mph, we can equate y to 2 and solve for t:

3/t=2t=3/2

Finally, we can plug in t into the expression for x and find the speed of Jim in still waters:

x=12/tx=12/(3/2)x=8

Therefore, Jim can go 8 mph in still waters.

Answer:

Time taken to go downstream = 4 / ( 2 + S) where S is the speed of the river