Answer:
19 birds
Step-by-step explanation:
First, I wrote my two equations:
5.5x +8.5y = 291.5
x + y = 41
Next, I got the variable y by itself in the second equation. Subtract x to get y = -x + 41. Then, I substituted what y equaled into the first equation. It should look like this: 5.5x + 8.5(-x+41) = 291.5. Distribute 8.5 to get 5.5x -8.5x + 348.5 = 291.5. Subtract 5.5x and 8.5x to get -3x. It should look like this: -3x + 348.5= 291.5. Subtract 348.5 from 291.5 to get -57. Now, you should have -3x = -57. Divide -3 from both sides, to get x = 19. So, there are 19 birds. If you want to go even further, 41-19= 22, which means there are 22 cats. Hope this helped!
Answer:
304(pi) g
Step-by-step explanation:
First we find the volume of the hollow ball. Then we find the mass using the volume and density.
Let R = exterior radius = 3 cm
Let r = interior radius = 2 cm
volume = exterior volume - interior volume
volume = (4/3)(pi)R^3 - (4/3)(pi)r^3
volume = (4/3)(pi)(R^3 - r^3)
volume = (4/3)(pi)(3^3 - 2^3) cm^3
volume = (4/3)(pi)(27 - 8) cm^3
volume = (76/3)pi cm^3
Now we use the density and the volume to find the mass.
density = mass/volume
mass = density * volume
mass = 12 g/cm^3 * (76/3)pi cm^3
mass = 304(pi) g
Answer: 304(pi) g
It’s an incomplete question, but if the chart goes on with the same pattern, then use my chart to find the blank space, or Y.
24,4
30,5
36,6
42,7
48,8
54,9
60,10
66,11
72,12
Hope this helps!
Answer: 112-15i
Step-by-step explanation:
(7)(8)+(7)(7i)+(-8i)(8)+(-8i)(7i)
56+49i-64i(-56(-1))
56+49i-64i+56
112-15i
Answer:
The original cost was 20 dollars.
Step-by-step explanation:
$12 represents 60% of the original price.
Set up a proportion
Cross multiply Reduce 100/100 to 1
60/100 * x = 12 * 100/100
Multiply by 100
60/ 100 * x = 12
Divide by 60
60x = 12*100
60x = 1200
60x/60 = 1200/60
x = 20 dollars.
