Answer:
r = -29/20 or r = -1.45
Step-by-step explanation:
I believe you are saying that the equation is -2 1/4 = r - 4/5. If so, then I would solve it in this way:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-9/4 (20) = r (20) - 4/5 (20)
-45 = 20r - 16
20r = -29
r = -29/20
r = -1.45
Check:
-2 1/4 = r - 4/5
-9/4 = r - 4/5
-2.25 = r - 0.8
-2.25 = -1.45 - 0.8
-2.25 = -2.25
-9/4 = -9/4
Answer:
8/13
Step-by-step explanation:
There are total 26 red cards in the deck of 52 cards.
There are also 12 face cards in the deck ( which is 6 of them are red, while 6 of them are black)
Since we only need either one of them, 26 + 6 = 32
The probability of drawn a card that either red or a face card is 32/52
The simplest form of this fraction is 8/13.
This is a very poorly written question. im assuming the house wall is at least 130 ft since there is no information given about it.
each set of side lengths has three elements, the long side and the two short sides. we're asked to list all whole number possibilities so start anywhere, the two short sides being 1ft
(1 1 130). the long side has to be the difference of 132 and the length of both short sides.
the area is one of the short sides times the ling side, in the first case 1*130=130 sqft
continuing the list
(2 2 128) area=256
(3 3 126) area=378
(4 4 124) area=496
(5 5 122) area=610
the short sides increase by 1, the long side decreases by 2, the area gets bigger, but the difference between the areas are 4 less each time. dividing the first difference, 122, by 4 will give us a number to make a better guess from.
122÷4=30.5
so lets try
(30 30 72) area=2160
lets try 31 and see if that gives a smaller area
(31 31 70) area = 2170
(32 32 68) area =2176
(33 33 66) area = 2178
(34 34 64) area = 2176
so the area is decreasing now which means the maximum area is found when thw long side is 66 feet and the short sides are 33 feet.
as far as listing all possibilities, you see the pattern i started, i leave the rest to you
Answer:
<h2>45, 46, 47</h2>
Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
138 - n = (n + 1) + (n + 2)
138 - n = n + 1 + n + 2 <em>combile like terms</em>
138 - n = 2n + 3 <em>subtract 138 from both sides</em>
-n = 2n - 135 <em>subtract 2n from both sides</em>
-3n = -135 <em>divide both sides by (-3)</em>
n = 45
n + 1 = 46
n + 2 = 47
132 children + 61 children = 193 children
Unless some of the children who went on Sunday also went on saturday.
