breakfast at the local cafe costs harry 38.70 without taxes. he wants to leave 15 percent tip how much should he tip

Answers

Answer 1
Answer: Turn 15% into a decimal.  0.15 is the same as 15%
Now multiply 38.70 by 0.15
You get 5.81 rounded.
He should leave $5.81 as the tip.

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A statement we accept as true without proof is a?

Answers

Its called a postulate. Hope this helped!
Theorem which means a statement without a proof. 

Find dy/dx
2x+3y=sinx

Answers

2x+3y=sinx\n\n3y=sinx-2x\ \ \ \ /:3\n\ny=(1)/(3)(sinx-2x)\n\n(\delta y)/(\delta x)=\left[(1)/(3)(sinx-2x)\right]'=(1)/(3)\left[(sinx)'-(2x)'\right]=(1)/(3)(cosx-2)

Which of the following items is the most likely to have a mass of 3 mg?A : Cat

B : Pumpkin

C : Ant

D : Piano

Answers

C.the ant would be the most likely thing to have a mass of three grams.

Of the 1,000 students in a local college, 420 own brand X mobile phones and 580 own brand Y mobile phones. Of these students, 80 own both brands of mobile phones. Find the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.2/14

5/21

3/28

4/29

Answers

Answer: The probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone is 4/29.

Step-by-step explanation:

Since, the total number of students, n(s) = 1,000

The number of students who have X mobile phones, n(X) = 420,

And, number of students who have Y mobile phones, n(Y) = 580,

Thus, the probability of the student that has Y phones,

P(Y)=(n(Y))/(n(S))=(580)/(1000)=0.58

While, the number of students who have both phones, n(X∩Y) = 80

Thus, the probability of the student who has both phones,

P(X\cap Y)=(n(X\cap Y))/(n(S))=(80)/(1000)=0.08

Hence, the probability that a student chosen at random has a brand X mobile phone given that he has a brand Y mobile phone.

P((X)/(Y))=(P(X\cap Y))/(P(Y))

=(0.08)/(0.58)

=(8)/(58)=(4)/(29)

Hence, the required probability is 4/29.

If we were to put this in terms of a venn diagram, we would have 360 owning only brand X, 500 owning only brand Y, and 80 in between, owning both. Therefore, 80 out of the 580 owners of brand Y may have X as well, which we put into fraction form 80/580, and reduce to 4/29.

Students had to pick their favorite sport from basketball, football, and hockey. 35% chose basketball and 28% chose hockey. What percentage chose football ?

Answers

Answer:

37%

Step-by-step explanation:

Add up the percentages and subtract them by 1.00:

  1. 35% & 28% = 0.35 & 0.28
  2. 0.35 + 0.28 = 0.63
  3. 1.00 - 0.63 = 0.37
  4. 0.37 = 37%

Good luck! :)

37% is the answer and no problem

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function .How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. h=-16t^2+112t+30
A. 7 s; 30 ft
B. 3.5 s; 366 ft
C. 3.5 s; 618 ft
D. 3.5 s; 226 ft

Answers

To determine the time it takes for boulder to reach its maximum height, derive the equation and equate to zero.
                                 h = -16t² + 112t + 30
                   dh / dt = 0 = -32t + 112
The value of t from the equation above is 3.5 s. Substitute this value of t to the original question, 
                                 h = -16(3.5 s)² + 112(3.5 s) + 30 = 226 ft
Thus, the answer is letter D.