MATHEMATICS HIGH SCHOOL

A public aquarium is being built to contain neon tetras. Each neon tetra needs 1.25 gallons of water. The aquarium will contain 1×10^5 gallons of water. How many tetras can it house? Write the answer in scientific notation.

Answers

Answer 1
Answer:

Step-by-step explanation:

Firstsimplify1x10⁵whichis100,000then divideitby1.25

thenyouwillfindthenumberoftetras

So100000/1.25whichis:-

Answer:80,000tetrapacks

Standardformwillbe8x10⁴

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What's the reciprocal of 7/9? a.48/15 b.16/15 c.9/7 d.14/18 ?

Answers

The reciprocal of a/b is b/a

The reciprocal of 7/9 is 9/7

If you are given a mixed number like 1 2/3, then first convert it to an improper fraction using:
a (b)/(c) = ((a* c) + b)/(c)

And then you find the reciprocal of it.

Your answer is C. 9/7.
9/7 is the reciprocal of 7/9

3 sinx + 4 cosx = 5

Answers

3sinx+4cosx=5
     => 3/5 sinx +4/5 cosx = 1
     let cosA=3/5   => sinA=4/5
     =>  cosAsinx + sinAcosx = 1
     =>  sin(x+A) = 1
Now,
       4sinx - 3cosx
  =   5(4/5sinx - 3/5 cosx)     [multipying numerator and denominator by 5]
  =   5(sinAsinx - cosAcosx)
  =   -5{cos(x+A)} = -5[root{1-(sin(x+A)^2)}] = -5 x 0 = 0          Ans 0
 
TRICK: if asinx+bcosx is given then multiply numerator and denominator by root(a^2 +b^2)
            this method is useful  in many questions 

The mean temperature for the first 7 days in January was 9 °C. The temperature on the 8th day was 8 °C. What is the mean temperature for the first 8 days in January

Answers

Answer:

8.875\°C

Step-by-step explanation:

Let

x ----> the mean temperature for the first 8 days in January

we know that

The mean temperature for the first 7 days in January multiplied by 7 is equal to the sum of the temperatures for the first 7 days

9(7)=63°C

so

The sum of the temperatures for the first 7 days plus the temperature on the 8th day, all divided by 8 is equal to the mean temperature for the first 8 days in January

x=(63+8)/(8)=8.875\°C

Answer:

8.875 degrees Celsius

Step-by-step explanation:

What is 12minus 2 multiply 6 plus 2 divide by 2

Answers

12-2*6+2/2 \n PEMDAS \n 12-(2*6)+(2/2) \n 12-12+1 \n 1
12-2*6+ (2)/(2) \n \n =12-12+1 \n \n =1

11. A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds?Round your answer to the nearest hundredth.A. 112.49 pounds
B. 12.24 pounds
C. 53.44 pounds
D. 78.92 pounds

12. Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?
A. $16.57
B. $8.29
C. $7.25
D. $12.89

Answers

11. 375x0.1425 = 53.475 (53.44 to 2 d.p.)

12. 116 / (9+7) = $7.25
      Total payment / Hours spent working = Money per hour
Theresa worked 9 hours on Monday and 7 hours on Wednesday. Her total pay was $116.00. What is her rate per hour?    $12.89

In the data set below, what is the mean absolute deviation?4,9,2,9,2,2,7

If the answer is a decimal, round it to the nearest tenth.

Answers

Answer:

2.9 (2.85)

Step-by-step explanation:
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