X+y=57
y=x+15
x+x+15=57
2x=42
x=21
y=21+15
y=36
Yes it is, since 1/5 + 1/5 + 1/5 = 3/5. If a pizza has 5 slices and you take three, that is more than just taking one.
To solve this problem, just use multiplication.
You can somewhat think of this situation as a sort of tree. You start with 7 large branches representing the pants, then for every one of those you have 3 medium-sized branches to represent the pairs of pants. Each one of those has 5 sticks for the ties, which in turn each have 6 leaves to represent the jackets and therefore a complete outfit. The solution is found by getting the total number of leaves on the tree.
The width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
<h3>How to determine the dimensions</h3>
The formula for determining the area of a rectangle is expressed as;
Area = width × length
Given that;
- Area = 84 square feet
- length = 2w
Let's substitute into the formula
84 = w(2w)
84 = 2w²
Divide both sides by 2
84/ 2 = w²
42 = w²
Take square root of both sides
w = √42
w = 6.4 feet
Length = 2w = 2 × 6. 4 = 12. 96 meters
Thus, the width and length of the rectangle are 6.4 feet and 12. 96 meters respectively.
Learn more about rectangles here:
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The number ab², where a and b are prime numbers, has 6 divisors.
<h3>How many divisors are for the given expression?</h3>
Remember that any number can be written as a product of primes, for example, 15 can be written as:
15 = 3*5
Where 3 and 5 are primes.
Such that the divisors of 15 are the factors made with the primes on the right side.
So for the number:
N = a*b^2 = a*b*b
The divisors are:
a, b, a*b, b*b
And trivially, itself and 1, so there are a total of 6 divisors.
If you want to learn more about divisors.
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