Answer:
Step-by-step explanation:
<u>Pythagoras Theorem</u>
where:
- a and b are the <em>legs</em> of the right triangle
- c is the <em>hypotenuse </em>(longest side) of the right triangle
Given values:
Substitute the given values into Pythagoras Theorem formula and <u>solve for c</u>:
Therefore, the measure of the third side of the given right triangle is
Learn more about Pythagoras Theorem here:
brainly.com/question/26954703
brainly.com/question/27988757
This is a mixture problem.
mass1 * karat1 + mass2*karat = total mass * total carat
Total mass = 200g.
Total karat = 14.
Let the 9 karat gold to be mixed be x. The 18 karat would weight (200 - x). Since the total = 200g.
9*x + 18*(200 -x) = 14*200
9x + 18*200 - 18*x = 14*200
18*200 + 9x - 18x = 14*200
3600 - 9x = 2800
3600 - 2800 = 9x
800 = 9x
9x = 800
x = 800/9
x ≈ 88.89
Therefore 88.89 grams of 9 karat gold must be mixed.
Answer:
Step-by-step explanation:
y=3x
6=x
9=6y
8=12x
10y=15x
To multiply fractions, first we simplify the fractions if they are not in lowest terms. Then we multiply the numerators of the fractions to get the new numerator, and multiply the denominators of the fractions to get the new denominator. Simplify the resulting fraction if possible.
Answer:
Benny would have 1/3y CDs.
Step-by-step explanation:
In order to find this, we know that Richard has 3 times the amount of CDs Benny does. Therefore, conversely, we must know that Benny has 1/3 of the CDs that Richard does. Knowing that Richard has y CDs allows us to model the amount for Benny as 1/3y.
branlist please