Let
x = first integer
y = second integer
z = third integer
First equation: x + y + z = 194
Second equation: x + y = z + 80
Third equation: z = x - 45
Let's find the values of x, y and z.
Substitute 3rd eq to 1st eq:
x + y + x - 45 = 194
2x + y = 45 + 194
y = -2x + 239
Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x
x + (-2x + 239) = (x - 45) + 80
x - 2x - x = -45 + 80 - 239
-2x = -204
x = -204/-2
x = 102
Solving for y,
y = -2(102) + 239
y = 35
Solving for z,
z = 102 - 45
z = 57
Answer:
The answer is 45600 as 621 is less than 650 and should be rounded down.
This question was posted almost a week ago, and I am not sure if you still need the answer, but I'll explain it.
The total number of all of the shapes were placed in the bag are equal to 100. The number comes from adding 32+20+48=100.
This is our total number and will be the denominator.
There are a total of 32 cards which have a hexagon, this number will be our numerator.
So far we have 32/100 , but this is not simplest form.
Next to reduce the fraction, the GCF must be found.
32: 1, 2, 4, 8, 32
100: :
Answer:
(a) 83% of the scores were at or below her score.
(b) 17% was above her score.
Step-by-step explanation:
Given that:
Percentile score of Angela in the general aptitude test = 83rd percentile
To find:
a) Percentage of scores which were at or below her score?
b) Percentage of score which were above her score?
Solution:
First of all, let us learn about the term "<em>Percentile</em>"
Percentile is the value below which the certain percent of people/marks fall.
Therefore, when we say percentile of someone's score is 
, then there are 
of scores are at the same level or below.
And 
of the scores are above this level.
Therefore, we can say that:
83% of the scores were at the same level or below the score of Angela.
And 
of the scores were above the score of Angela.
Answer:
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