a) because the denominators are the same add the numerators:
1 1/5 + 3 2/5 = 4 3/5
b) rewrite the fractions to have a common denominator:
1/2 = 3/6
1/3 = 2/6
Now subtract:
4 3/6 - 1 2/6 = 3 1/6
Since no possible correct method is posted, I will suggest a couple.
Method 1: guess and check
Works well for simple problems involving integers like this one.
Victor's age must be zero or greater than one, say one.
Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.
we need to make v bigger
Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔
So v=2, m=8.
Method 2:
Solve the system of two equations.
since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.
5v-2=v+6
Solve for v
5v-v = 6+2
4v=8
v=2,
so again, v=2, m=v+6=2+6=8.
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
So
Given
Volume (v) = 57ft³
![r = \sqrt[3]{13.6}](https://tex.z-dn.net/?f=r%20%3D%20%20%5Csqrt%5B3%5D%7B13.6%7D%20)
Therefore r = 2.4 ft
I gave my answers by rounding off. so if you don't round off then it's answer is 2.3 ft
Answer:
The equation of the circle is (x - 2)² + (y + 5)² = 144 ⇒ A
Step-by-step explanation:
The form of the equation of the circle is (x - h)² + (y - k)² = r², where
- r is the radius of the circle
- h, k are the coordinates of the center of the circle
Let us solve the question
∵ The center of the circle is at (2, -5)
→ From the rule above
∴ h = 2 and k = -5
∵ The radius of the circle is 12
∴ r = 12
→ Substitute the values of r, h, and k in the form of the equation above
∵ (x - 2)² + (y - -5)² = (12)²
∴ (x - 2)² + (y + 5)² = 144
∴ The equation of the circle is (x - 2)² + (y + 5)² = 144
Answer:
So, exists 5527200 different leadership structures.
Step-by-step explanation:
We know that four members from a 50 person committee are to be randomly selected to serve as chairperson, vicechairperson, secretary, and treasurer. The first perosn to be selected is the chairperson, the second to be selected as vice chairperson, the third is secretary, and the fourth is treasurer.
Since the order of the people is important to us, we have the following:
50·49·48·47=5527200
So, exists 5527200 different leadership structures.
