<span>3/5p(1+5/3)=3 1/2
3/5p(1) + 3/5p*5/3 = 3 1/2
3/5p + p = 3 1/2
</span>3/5p + 5/5*p = 3 1/2
8/5p = 3 1/2
now multiply both sides by 5/8 (to get p by itself) which gives:
p = 5/8 * 3 1/2 = 5/8 * 7/2 = 35/16
The amount of time required to travel a certain distance is equal to quotient of distance and speed. We let x be the speed of Terry and Mark's will be x+2. The equation that would best represent the scenario is,
15/x = 21/(x+2)
The value of x is 5. Thus, Mark's speed is 7 mph.
<span>How does the volume of an oblique cylinder change if the radius is reduced to 2/9 of its original size & the height is quadrupled?
Volume of an oblique cylinder = </span>π * r² * h
radius is reduced to 2/9 of its original size = r * 2/9 = (2r/9)
height is quadrupled = h * 4 = 4h
Volume of an oblique cylinder = π * (2r/9)² * 4h
Assume: r = 9 ; h = 10
V = π * 9² * 10 = 3.14 * 81 * 10 = 2,543.40
V = π * (2²) * (10*4) = 3.14 * 4 * 40 = 502.4
The new volume decrease and is almost equivalent to 20% of the original volume.
16 to 18 simplifies down to 8 to 9 because you divide 2 to both terms
24 to 27 simplifies down to 8 to 9 because you divide 3 to both terms
So yes
A
The quotient of the given fraction 45/9 is 5.
<h3>
What is division?</h3>
- The division is one of the four basic operations of arithmetic, which are the methods by which numbers are combined to form new numbers.
- Addition, subtraction, and multiplication are the other operations.
- At the most basic level, the division of two natural numbers is the process of calculating the number of times one number is contained within another.
Quotient:
- A quotient is a quantity produced by the division of two numbers in arithmetic.
- The quotient is widely used in mathematics and is also known as the integer part of a division, a fraction, or a ratio.
So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5
(Refer to the picture given below for working)
Therefore, the quotient of the given fraction is 5.
Know more about division here:
brainly.com/question/25289437
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