Answer:
x=5
Step-by-step explanation:
We can write ratios to help us solve
4x 12 +3
---------- = ------------
3x+1 12
Using cross products
4x*12 = (3x+1) * (15)
48x = 45x +15
Subtract 45x from each side
3x =15
Divide by 3
3x/3 =15/3
x=5
Answer:
<h3>Figure 1</h3>
- Perimeter of base = 5 + 5 + 8 = 18 ft
- Base area = 1/2(8)(3) = 12 ft²
<u>Surface area:</u>
- S = 18*7 + 2*12 = 150 ft²
<h3>Figure 2</h3>
<u>Surface area of cube:</u>
- S = 6a² = 6(2.5)² = 37.5 m²
<u>Surface area of prism:</u>
- S = 2(11 + 9)(7) = 280 m²
<u>Overlapping area:</u>
<u>Surface area of composite figure:</u>
- S = 280 + 37.5 - 2(6.25) = 305 m²
Answer:
The required probability is 0.04411
Step-by-step explanation:
The number of female grey mice = 5.
The number of males grey mice = 4.
The number of female white mice = 2.
The number of male white mice = 6.
The number of mice = 17.
The probability of first mice be male grey = 
The probability of second mice be male grey = 
The probability of two mice be male grey = 
= 0.04411
60 percent because 3/5= 0.6 and multiply by 100 its 60
Answer:
1/27
Step-by-step explanation:
Ok this looks like a huge number but if you break it into smaller numbers its easier to work with
3^5=243 so we can write...
(3^5)^-3/5
Rule of exponents state that you can multiply powers
5*3/5=15/5=-3
Because its negative we would make it over 1
1/3^3
And simplify...
1/3*3*3
1/27
