Answer:
10
Explanation:
36 cards can fit onto 9 pages, but that leaves one card out. To fit all 37, he would need 10 pages.
1) Try plugging in the values you have already been given into the equation L=mT+b.
2) After plugging this in, you should get 9982=m(5)+b and 10016=m(34)+b. (Remember, L equals the millimeters in this equation, and T equals the temperature.)
3) Now we use substitution to solve the rest. With the equation 9982=m(5)+b, we can change this to 9982/m(5)=b.
4) Now that we know the value for be, we can insert this into the second equation, in replacement of b: 10016=m(34)+(9982/m(5)) = 34/29. Now we know that the value m equals 34/29.
5) Replace the m values in the first equation with your newfound value: 9982=(34/29)(5)+b = 289308/29.
Answer:
m=35/29
b=289308/29
Answer:
91.80
Step-by-step explanation:
You can get this simple answer by finding the number value of 3.5%, which would be .035. Since you are trying to go up by 3.5%, you can take the .035 and add a 1 onto it to signify that you are not losing any money, you are gaining it or staying the same at least. If you want to see how much money he will have after 4 years, just multiply 80 by 1.035, then take the answer and multiply it by 1.035 again. Then take the answer and do it again to signify the third year, and then take that answer and multiply it by 1.035 to signify the fourth and final year. You will see that he gets about $91.80 after 4 years.
Answer:
f(g(2)) = 1
Step-by-step explanation:
Another way to write this composite is f(g(2)). We first have to compute g(2), then fit that value into f.
.
g(2) = 4. Now we have to find f(4):
f(4) = 4 - 3 = 1
The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Step-by-step explanation:
The given is,
A cylinder and a cone have the same volume
Cylinder has a radius 2 inches and height of 3 inches.
Cone has a radius of 3 inches
Step:1
For Cylinder'
Formula to calculate the volume of cylinder is,
..................................................(1)
where,
r - 2 inches
h - 3 inches
From the equation (1)
= 
× 
× 3
= 37.70
V = 37.70 cubic inches
Step:2
For cone,
Formula to calculate the volume of cone is,
..................................................(2)
From the statement,
cylinder and a cone have the same volume
= 
37.70 = × 
× 
37.70 = 9.42478 × h
Height of the cone, h = 4 inches
Result:
Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
