Answer:
Ravi's age after 15 years = x+15
Ravi's age = 4 times his present age = 4x
According to question -
15 + x = 4x
=> 15 = 4x-x = 3x
=> 15 = 3x
=> x = 15/3
=> x = 5
Thus , Ravi's present age is 5 years.
Step-by-step explanation:
Answer:
#15) B. 30 mn^5
#17) B. 1/2
Step-by-step explanation:
<h2>#15:</h2>
The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.
All of these measurements are given so all that you need to do is to substitute these values into the formula.
Substitute 3 for a, 9 for b, and 5 for h.
Solve inside the parentheses first. Add 3 and 9.
Multiply 12 and 1/2 together.
Multiply 6 and 5.
We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.
After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.
Therefore the final answer is B. 30 mn^5.
<h2>#17:</h2>
When going down from 32 to 8 to 2, you can see that each number is being divided by 4.
32 / 4 = 8...
8 / 4 = 2...
So to find the next number in this sequence you would divide 2 by 4.
The answer is B. 1/2.
Answer:
g(x), because an increasing exponential function will eventually exceed an increasing quadratic function
Step-by-step explanation:
From data, we know that for greater x values, g(x) is greater than f(x).
It is also known that exponential function has greater values than quadratic function for large enough x values.
Answer:
Step-by-step explanation:
x=135
y=45 b/c 180-135 = 45 & the angles are supplementary
4 quarters is a dollar. So 25 divided by 4 is $6.25. A nickel is 5 cents, so multiply 3 by 5. Giving us $.15. And finally the one penny adds $.01. Add it all together and you get $6.41 for the decimal. Now for the fraction, since 100 cents is $1, the denominator is 100. And since there are $6, it would be 6_41/100 for the fraction.
