This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.
Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.
1/4 + 1/4 = 2/4
Then, add with this the fraction part of 2 1/5.
2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.
2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20
14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>
Answer:
D
Step-by-step explanation:
12 square feet
Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
