During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?

Answers

Answer 1
Answer:

Answer:

The caterer should bring 30 gallons of tea.

Step-by-step explanation:

During a catered lunch, an average of 4 cups of tea are poured per minute.

The lunch will last 2 hours.

1 hour = 60 minutes

2 hours = 60 × 2 = 120 minutes

in 120 minutes tea are poured = 4 × 120 = 480 cups

There are 16 cups = 1 gallon

480 cups = (480)/(16)

                = 30 gallons

The caterer should bring 30 gallons of tea.

Answer 2
Answer: There are 16 cups in a gallon. Which means that every 4 minutes, a gallon of tea is being poured. In an hour there is 60 minutes, so in an hour 15 gallons are being poured. Multiply that by 2 for the 2 hours the lunch will last and 30 gallons are going to be poured.

Answer: 30 gallons

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If 95% of the students are present in a school and the number of absent students is 25, find the total number of students in the school? (A) 500 (B) 400 (C) 600 (D) 450

What is the product of y4 x y6?

Answers

Multiplying exponents of the same base is basically adding up the exponents. Make sure the base the same which it is.

y^4 x y^6 = y^10

Prove that 1+cosA/sinA + sinA/1+cosA=2cosecA

Answers

(1+cos\alpha)/(sin\alpha)+(sin\alpha)/(1+cos\alpha)=2cosec\alpha\n\nL=((1+cos\alpha)(1+cos\alpha)+sin\alpha\cdot sin\alpha)/(sin\alpha(1+cos\alpha))=(1+2cos\alpha+cos^2\alpha+sin^2\alpha)/(sin\alpha(1+cos\alpha))\n\n=(1+2cos\alpha+1)/(sin\alpha(1+cos\alpha))=(2+2cos\alpha)/(sin\alpha(1+cos\alpha))=(2(1+cos\alpha))/(sin\alpha(1+cos\alpha))\n\n=(2)/(sin\alpha)=2\cdot(1)/(sin\alpha)=2cosec\alpha=R

Rashida was paid $720 for 30 hours of work.How much would she be paid for 40 hours of work?

A.
$750

B.
$760

C.
$960

D.
$2880

Answers

Answer:

Hence, Rashida will be paid $960 for 40 hour work.

Step-by-step explanation:

Rashida was paid $720 for 30 hours of work.

that means the amount she is being paid fro 1 hour of work is:

(720)/(30)=$24

Hence she is paid $24 for 1 hour work.

Now we have to find how much amount she is being paid for 40 hour of work:

Amount paid for 1 hour=$24

Amount paid for 40 hour=$ (24×40)=$960.

Hence, Rashida will be paid $960 for 40 hour work.

The awnser is c becuze 1 your she makes $24 and in 10 hours she makes $240 so 240+720=960

Charlie has 298/440 points in Math class. What is his grade as a percentage?

Answers

(298).(100)/(440) = 67.727272....
So the answer is about 68%
All you have to do for this is divide the two numbers then round

298 / 440 = 0.67727272727273

So, if you round you would get 68%
Hope this helps!

Mike's truck engine holds 1 and 1/4 gallons of oil if there are 3 quarts of oil in the engine now how many more quarts of oil does Mike need to fill the engine to capacity

Answers

Answer:

2 more quarts of oil is needed to fill

the engine to capacity

Step-by-step explanation:

Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity

We have to convert the capacity to quarts

Mathematically, 1 gallon = 4 quarts

So 1 1/4 gallon will be 5/4 * 4 = 5 quarts

So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts

Both the leftmost digit and the rightmost digit of a four-digit numberN are equal to 1. When these digits are removed, the two-digit number
thus obtained is N ÷ 21. Find N.

Answers

N=1000w+100x+10y+z\nw=z=1\nx,y\in\{0,1,2,\ldots,7,8,9\}\n10x+y=(N)/(21)\n10x+y=(1000w+100x+10y+z)/(21)\n10x+y=(1000+100x+10y+1)/(21)\n10x+y=(100x+10y+1001)/(21)\n210x+21y=100x+10y+1001\n110x+11y-1001=0\n10x+y-91=0\ny=-10x+91\n\n\hbox{The above equation meets the condition }x,y\in\{0,1,2,\ldots,7,8,9\}\n\hbox{only for } x=9:\ny=-10\cdot9+91\ny=-90+91\ny=1\n\n\hbox{Therefore:}\nN=1000\cdot1+100\cdot9+10\cdot1+1\nN=1000+900+10+1\nN=\boxed{1911}