Let's call their parts w,m and s
if will paid 1/3, then m+s=2w (they paid 2/3, which is twice as much as will did)
Now, we know that:
Micah and Sue paid in the ratio 2:3.
this means the 3m=2s
and m=2/3s
Again:
m+s=2w
and we substitute m:
2/3s+s=2w
5/3s=2w// multiply both sides by 3
5s=6w
we also know that s=w+6 (from the last sentence) so we substitute:
5(w+6)=6w
5w+30=6w
30=w
so, Will paid 30, Sue paid 36 (six more than him), Mike paid 24 (24:36 is the same ratio as 2:3, you can check this by dividing both 24 and 36 by 12: you have 2 and 3)
and the total was 30+36+24=90.
Hello there!
(5x - 2)(4x² - 3x - 2)
Use the distributive property
=(5x)(4x²) + (5x)(-3x) + (5x)(-2) + (-2)(4x²) + (-2)(-3x)² + (-2)(-2)
= 20x³ - 15x² - 10x - 8x² + 6x + 4
= 20x³ - 23x² -4x + 4
As always, it is my pleasure to help students like you. Let me know if you have any questions.
Step-by-step explanation:
Using pythagoras theorem
9^2 - 6^2 = x^2
Therefore X^2 = 81 - 36
= 45
Thus X = √45
X = 6.71
Answer: 1.2 grams
Step by step explanation : divide the mass value by 1000
The answer is 1 over 3(3.14)(5²)(8)
The volume of the cylinder (V1) is:
V1 = π · r² · h (r - radius, h - height)
The volume of the cone (V2) is:
V2 = 1/3 π · r² · h (r - radius, h - height)
It is given:
r = 5 feet
h = 8 feet
π = 3.14
Therefore, the volume of the cone is:
V2 = 1/3 · 3.14 · 5² · 8 which is the same as 1 over 3(3.14)(5²)(8).
