Answer:
(a)

(b)

(c)

Step-by-step explanation:
we are given
length is x+1

width is x+3

height is x-3

(a)
we can use volume formula

now, we can plug it

now, we can simplify it

(b)
we are given volume =1001
so, we can set V=1001
and then we can solve for x

now, we can factor it



(b)
we are given volume
so, we can set


and then we can solve for x

now, we can factor it




Answer:
Step-by-step explanation:
Given:
Length = 27/4 in
Width = 27/2 in
5.55% of the cake = 5.55/100
= 1/18
Therefore, 18 equal squares of cake where 1 piece is 5.55 % of the cake
Since, the cake is twice as long as it is wide, so that means cut half the cake (27/4 × 27/4) into 9 pieces.
Therefore, each has a side of 1/3 * 27/4
= 9/4 inches.
Answer:
Step-by-step explanation:
Tear this apart piece by piece
15 - 8 = 7
7 * 3 = 21
11 + 21 = 32
Now so far this much is correct. The problem is the next sign. Is it add or is it divide. The only way to resolve it is to do it both ways.
Add 4
32 + 4 = 36
Divide 4
32 / 4 = 8 1/4 = 8
First, a bit of housekeeping:
<span>The meaning of four consecutive even numbers is 15. Wouldn't that be "mean," not meaning? Very different concepts!
The greatest of these numbers is _______ a^1
"a^1" means "a to the first power. There are no powers in this problem statement. Perhaps you meant just "a" or "a_1" or a(1).
The least of these numbers is ______a^2.
No powers in this problem statement. Perhaps you meant a_2 or a(2)
In this problem you have four numbers. All are even, and there's a spacing of 2 units between each pair of numbers (consecutive even).
The mean, or arithmetic average, of these numbers is (a+b+c+d) / 4, where a, b, c and d represent the four consecutive even numbers. Here this mean is 15. The mean is most likely positioned between b anc c.
So here's what we have: a+b+c+d
------------- = 15
4
This is equivalent to a+b+c+d = 60.
Since the numbers a, b, c and d are consecutive even integers, let's try this:
a + (a+2) + (a+4) + (a+6) = 60. Then 4a+2+4+6=60, or 4a = 48, or a=12.
Then a=12, b=14, c=16 and d=18. Note how (12+14+16+18) / 4 = 15, which is the given mean.
We could also type, "a(1)=12, a(2)=14, a(3) = 16, and a(4) = 18.
</span>
Answer:
1 9/10
Step-by-step explanation:
3 1/10 = 3.10
1 1/5 = 1.2
3.1 - 1.2 = 1.9
1.9 = 1 9/10
Hope this helped!