Hello,
<em>3/4 is a rational number because it can be written as a fraction.</em>
Thanks,
<em>Deku ❤</em>
Answer:
46.95 in.²
Step-by-step explanation:
Surface area of the kaleidoscope = surface area of a triangular prism = 2(BA) + P*H
Base area (B) = 2(½*bh) = 2(½*1.5*1.3) = 1.95 in.²
Perimeter of base (P) = 1.5 + 1.5 + 1.5 = 4.5 in.
Height of prism (H) = 10 in.
Plug in the values
Surface area = 1.95 + 4.5*10 = 46.95 in.²
SOLUTION:
As an equation it is:
y - 3x = 5y + 2x
If you are asking for it as a sentence ( I will do it as a written sentence as I unfortunately can't show you the sentence verbally as you had asked ), then it is as you had written in your question so:
Three times x less than y is five times y plus two times x
Or you could write is as:
y subtracted by three times x is equivalent to the sum of five times y and two times x.
Essentially, even with the small alterations that you can make to the phrasing and sentence structure, the concepts are the same so you can use one of the above answers or alter it as you please.
Hope this helps! :)
Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
