MATHEMATICS HIGH SCHOOL

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.If he can eat the whole pie in two minutes, how long does he have to eat each piece

Answers

Answer 1
Answer:

Answer:

He have to eat each piece in  (1)/(3) \ minute.

Step-by-step explanation:

Given:

Brian claims that he can eat a pie that is divided into six equal pieces In two minutes.

If he can eat the whole pie in two minutes.

Now, to find the time he have to eat for each piece.

So, to solve by using unitary method:

If Brian can eat 6 pieces in = 2 minutes.

Then, he can eat 1 piece in = (2)/(6)=(1)/(3) \ minute.

Therefore, he have to eat each piece in (1)/(3) \ minute.

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A mixture of 30 pounds of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of the $1.50 chocolate were used to make the mixture?If x represents the pounds of $1.50 chocolates used, then which of the following represents the pounds of 90¢ chocolates used?

x
30 - x
30

Answers

Answer:

10 pounds of the $1.50 chocolate were used.

30 - x represents the number of pounds of the 0.90 chocolate used.

Step-by-step explanation:

30 * 1.10 = 1.5x + 0.9 (30 - x)

33 = 1.5x + 27 - 0.9x

0.6x = 6

x = 10

Answer:

30 - x

Step-by-step explanation:

a bowling ball is dropped from a height of 24 feet. write a function that gives the height h (in feet) of the bowling ball after t seconds

Answers

Answer:

h=16t^2

Step-by-step explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration due to gravity = 32 ft/s²

s=ut+(1)/(2)at^2\n\Rightarrow h=ut+(1)/(2)32* t^2\n\Rightarrow h=ut+16t^2

Here, u = 0 so,

h=0t+16t^2\n\Rightarrow h=16t^2

The equation is h=16t^2

24=16t^2\n\Rightarrow t=\sqrt{(24)/(16)}\n\Rightarrow t=1.22\ s

Time taken by the ball to hit the ground is 1.22 seconds
gravity pulls at 32 feet per second so it would take .75sec to hit the ground now make an equation that can make this applicable so after .75 second T it would be at 0 feet H

Trig please helpLaw of Sines and the Ambiguous Case.

In ∆ ABC, a =10, c = 16, and m < A = 44*
How many distinct triangles can be drawn given these measurements?

Answers

Answer:

None (zero)

Step-by-step explanation:

10/sin(44) = 16/sinC

sinC = 1.111453392

Not possible

Answer:

Answer:

None (zero)

Step-by-step explanation:

10/sin(44) = 16/sinC

sinC = 1.111453392

Which expressions are equivalent to the expression −6x + 8? Select all that apply. 1. −2(3x + 4) 2. 2(−3x + 4) 3. 5(x + 1) − 11x + 3 4. x + 2 − 7x + 6 5. 8 − 6x

Answers

1)
-2(3x+4)=-6x-8≠-6x+8

2)
2(-3x+4)=-6x+8

3)
5(x+1)-11x+3=5x+5-11x+3=-6x+8

4)
x+2-7x+6=-6x+8

5)
8-6x=-6x+8

Answer: The expressions 2,3,4 and 5 are equivalents.

Find slope of a line (1,7) (3,6)

Answers

Answer:

-1/2

Step-by-step explanation:

Use the slope formula.

y2-y1/x2-x1

Plug in the values and solve.

6-7/3-1 = -1/2

Answer:

m=-1/2

Step-by-step explanation:

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

(6-7)/(3-1)=m

m=-1/2

m is slope

Kelly and 23 friends go roller skating.They pay a total of 186 dollars. About how much does it cost  for one person to skate?

Answers

You need to figure out the unit rate so you need to:
1. divide 186 by 23= 8.08695....
2. You only need to figure out the answer to the hundredth of a percent so you would round and get $8.09
3. The answer is $8.09
To do this first you must find the total number of people 23+1=24 so there are 24 people they paid 186 total divide this by 24 and you get 7.75 so each skate cost $7.75
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