Answer:
Width of the rectangular prism
It is given to us that the volume of the rectangular prism is calculated by the given formula :-
v = lwh
Where,
v = volume
l = length
w = width
h = height
Now,
In the question we are given :-
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
Substitute these values in the volume formula given :-
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ The width of the rectangular prism is 4.5 inches.
Since 1 and 2 are used at least once in half of the apartments, and no other number is used this often, either 1 or 2 will be the most frequent digit used.
<span>Since all of the numbers of the form </span><span> appear but only 6 of the numbers </span><span> appear, 2 will be used less often than 1 and we should count the number of 1s to find the number of packages needed.</span>
100 through 125 requires 26 ones just for the hundreds place. 100 through 125 and 200 through 225 require the same number of ones for the tens and units places; that is, thirteen.
<span>So, there are </span><span> ones used. Therefore, the landlord must purchase </span><span> 52 packages.</span>
<h2>(1, 4)</h2><h2 />
To solve this system by addition, notice that if we add these two equations together, neither one of our variables will cancel out.
In this situation, we need to set things up so that when we do add our two equations together, one of the variables will cancel out.
Notice that we have a 10x in our second equation. if we had a -10x in our first equation, then the x's would cancel out.
To create a -10x, we can multiply the top equation by -2 to get a -10x.
From there, rewriting our equation gives us -10x - 2y = -18.
Now the x's cancel. Just add the equations together
now to get the two-step equation -9y = -36.
Solving from here, <em>y = 4</em>.
Now plug y into either one of the equations
to find that x =1.
So our solution is (1,4).
Answer:
After 11 weeks, Darnell′s savings account will have a total of $8,360.
Step-by-step explanation:
The data provided is as follows:
n: 1 2 3 4
f (n): 260 360 460 560
Consider the data for f (n).
The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.
The nth term of an arithmetic sequence is:
Compute the value of f (11) as follows:
Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.
Answer:
5/6
Step-by-step explanation:
1 1/3 - 1/2
Convert 1 1/3 into an improper fraction: 4/3.
4/3 - 1/2 = 5/6
Hope this helped buddy!