MATHEMATICS HIGH SCHOOL

Ben is 4 times as old as Ishaan and is also 6 years older than Ishaan.
How old is Ben?

Answers

Answer 1
Answer:

Given :-

  • Ben is 4 times as old as Ishaan.

  • Ben is 6 years older than Ishaan.

To find :-

  • age of Ben

Let :-

  • Ishaan age be x
  • Ben age be 4x

Solution :-

✪According to question:-

Ben is 6 years older than Ishaan

So :-

  • Ben age - Ishaan age = 6 years

put supposed values

  • 4x - x = 6
  • 3x = 6
  • x = 6 ÷ 3
  • x = 6/3
  • x = (2 × 3)/3
  • x = 2/1
  • x = 2

Original Ages :-

  • Ishaan age = x
  • Ishaan age = 2 years

  • Ben age = 4x
  • Ben age = 4(2)
  • Ben age 4 × 2
  • Ben age = 8 years

✪Verification :

1st condition:-

  • Ben age - Ishaan age = 6 years

put original ages

  • 8 - 2 = 6
  • 6 = 6

LHS=RHS

Hence verified !

Required answer :-

Ben's age =8years

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If the area of a circle is 58 square feet, find the circumference. A. 26.99 ft. B. 22.35 ft. C. 42.5 ft. D. 4.25 ft.

Answers

It's answer is option A. As the area of circle is given which is 58 square feet, we are to find circumference of the circle. We know that area = π r^2 Where π = 3.14 and r is radius of the circle So it will become 3.14 x r^2 = 58 r^2 = 58/3.14 r^2 = 18.4713375796 If we take square root of both sides, we get r = 4.297829403268585 feet By using this value of r we can find circumference of the circle, As, Circumference = 2 π r It will become 2 x 3.14 x 4.297829403268585 26.99036 Which is very close to the option A.

The answer is A. 26.99

Mr. Chong deposits RM5 000 into a fixed deposit account with 4% interest rate compounded every 3 months for a period of 3 years. Calculate the amount of interest accrued after the third year。 fast please tq
​

Answers

Answer:

The interest is 634.13.

Step-by-step explanation:

Amount deposit , P = 5000

Interest, R = 4 % so, R = 4/4 = 1 %

Time, T = 3 years quarterly

n = 3 x 4 = 12

Let the amount is A.

Use the formula of the compound interest

A = P \left ( 1 + (R)/(100) \right )^n\n\nA = 5000 \left ( 1 + (1)/(100) \right )^(12)\n\nA = 5634.13

So, the interest is

I = A - P = 5634.13 - 5000 = 634.13

How many meters are in 50 kilometers

Answers

Answer:

1000

Step-by-step explanation:

Kilo means 1000 so we would have 1000 meters.

50,000. “Kilo” means one thousand. 50x1000 is 50,000.

3^x - 3^(x-1) = 18 then 4^x is equal to

Answers

3^x-3^(x-1)=18\n\n3^x-3^x\cdot3^(-1)=18\n\n3^x-(1)/(3)\cdot3^x=18\n\n(2)/(3)\cdot3^x=18\ \ \ /\cdot(3)/(2)\n\n3^x=27\n\n3^x=3^3\iff x=3\n------------------\n4^x=4^3=64\leftarrow answer
3^x - 3^(x-1) = 18\n 3^x-3^x\cdot3^(-1)=18\n 3^x(1-(1)/(3))=18\n 3^x\cdot(2)/(3)=18\n 3^x=27\n x=3\n\n 4^x=4^3=64

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. What is the smallest possible perimeter of the triangle, round to the nearest hundredth?

Answers

Are you doing Pythagory and theorem
 

The weight of male Americans between the ages of 18 and 25 is normally distributed, with a mean of 164.5 lb and a standard deviation of 26 lb. One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.What is the obesity threshold weight for a young adult American male? Round your answer to the nearest tenth.

Answers

Z- score equal to 2 means 2 standard deviations greater than the mean.
Mean + 2 z = 164.5 + 2 * 26 = 164.5 + 52 = 216.5
Answer: the obesity threshold weight  for a young adult American male is 216.5 lb. 

Answer:

216 is correct!

Step-by-step explanation:
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