Answer:
21x/20 or can be written as x + x/20 .
Step-by-step explanation:
The number is x
step 1
x is increased by 50%
value of 50% of x = 50/100 *x = x/2
New value after this change = x + 50% increase = x + x/2 = 3x/2
Step 2 The value obtained is decreased by 30%
value of 30% newly found number is = 30% of value found in step 1
value of 30% newly found number is = 30/100 * 3x/2 = 9x/20
This value (9x/2) is subtracted from value found in step 1(3x/2) as given that value obtained is decreased by 30%
new value found after 30% decrease = 3x/2 - 9x/20 = (3x*10 -9x)/20
new value found after 30% decrease = (30x-9x)/20 = 21x/20
Thus, the result of x is increased by 50% and decreased by 30% is 21x/20 = x + x/20
Answer:
<em>$1.50</em>
Step-by-step explanation:
Given the total weekly pay of Hector modeled by the equation;
y = 10(8.5 + x)
We are to find the amount of Hector's raise per hour x given the total oay y = $100
Substitute y = 100 into the equation and find x as shown;
y = 10(8.5 + x)
100 = 10(8.5+x)
100/10 = 8.5 + x
10 = 8.5 + x
x = 10 - 8.5
<em>x = 1.5</em>
<em>Hence the amount of Hector's raise per hour is $1.50</em>
Answer:
Step-by-step explanation:
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Depending whether you need to use the Pythagorean theorem or sine both answers are there, Pythagorean is 12.1 and sin=12
Answer:
13
Step-by-step explanation:
This problem is an example of pigeonhole principle which states that If n+ 1 objects are placed into n boxes, then some box contains at least 2 objects.
Here no. of months in a year are boxes n = 12.
Therefore number of objects( people) = n+1= 13.
Then,at least two people in the group whose birthdays fall in the same month.