As per the concept of unitary method, Aaron collected 7 shells.
Let's assume that Aaron initially collected "A" shells, and Maria initially collected "M" shells.
According to the first piece of information, Maria had three times as many shells as Aaron: M = 3A.
Now, according to the second piece of information, if Aaron had found 8 more shells and Maria had found 6 fewer shells, their final shell counts would have been the same. So, Aaron's final count would be A + 8, and Maria's final count would be M - 6.
Given that the final counts are equal, we can set up an equation:
A + 8 = M - 6.
Now, we can substitute the value of M from the first piece of information (M = 3A) into the equation above:
A + 8 = 3A - 6.
Next, let's solve for A:
8 + 6 = 3A - A,
14 = 2A.
Finally, we can find the value of A by dividing both sides of the equation by 2:
A = 14/2,
A = 7.
So, Aaron collected 7 shells.
To know more about unitary method here
#SPJ2
The amount of concrete that will be required for the driveway is 151200 cubic inches.
Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write volume as -
V = ∫∫∫ F(x, y, z) dx dy dz
Given is that a driveway is 10 feet long, 15 feet wide, and 7 inches deep.
The amount of concrete that will be required for the driveway will be equal to the volume of the driveway.
V = 10 x 12 x 15 x 12 x 7
V = 120 x 180 x 7
V = 21600 x 7
V = 151200 cubic inches
Therefore, the amount of concrete that will be required for the driveway is 151200 cubic inches.
To solve more questions on Volumes, visit the link-
#SPJ2
Answer:
88
Step-by-step explanation:
V=l x w x h
(10) (15) (.58) = 87.5. Rounding=88
remember it's 7 inches not feet. 7/12=.58
Answer:
36 is the answer i was counting middle line oft triangle abc and it was throwing me off
Step-by-step explanation:
a. 1438
b. 1638
c. 1836
d. 1783
Answer:
The sum of first eighteen terms of the arithmetic sequence is
Option B is correct option.
Step-by-step explanation:
We need to find the sum of the first eighteen terms of the arithmetic sequence whose nth term is an = 15 + 8n
The formula used to calculate sum of arithmetic sequence is:
Finding a₁ by putting n=1
We have
Finding 18th term n=18
So, the sum of first eighteen terms of the arithmetic sequence is:
So, the sum of first eighteen terms of the arithmetic sequence is
Option B is correct option.