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Step-by-step explanation:
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Answer:
im guessing you wanted me tho find the common denominator of 7 8/10 and 1 1/4 the LCD would be 20.
Step-by-step explanation:
Solution:
Rewriting input as fractions if necessary:
78/10, 5/4
For the denominators (10, 4) the least common multiple (LCM) is 20.
LCM(10, 4)
Therefore, the least common denominator (LCD) is 20.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
78/10 = 78/10 × 2/2 = 156/20
5/4 = 5/4 × 5/5 = 25/20
$32,750.00 + $375.00 = $33,125.00
6% of that is $1,987.50 (33,125 x 0.06)
$1,987,50 + $33,125 + $50=
$35,162.50
3/5 ÷ 9/10
...becomes
3/5 * 10/9 = 30/45
...simplify by dividing by 15/15
2/3
You have to use carefully Venn Diagram to solve this problem:
n, here below means number of students
GIVEN
----------
n(Cigarettes) = 645
n(Alcohol) = 859
n(Drugs) = 207
n(Alcohol ∩ Cigarettes) = 397
n(Alcohol ∩ Drugs) = 109
n(Alcohol ∩ Cigarettes ∩ Drugs) = 85
And 274 Students "Clean from any of the above"
Let x be the unknown number, that is n(Cigarettes ∩ Drugs)
Start by drawing 3 intersecting circles, one for Alcohol, another for Cigarettes and the 3rd for Drugs:
1) n( Alcohol ONLY) =859-397-109-85 = 268 (only Alcohol)
2) n( Cigarettes ONLY) =645-397-85 - x= 163 - x (only Cigarettes)
3) n( Drugs ONLY) =207- 109 -85 - x = 13 - x (only Drugs).
(Remember that there are 274 Students clean, not shown in Venn)
Total of students (we need it to solve):
TOTAL n(STUDENT) = Alcohol Alone+ Cigarette Alone+ Drug Alone + 274
TOTAL n(STUDENT) = 268 + (163-x) + (13-x) + 274
TOTAL n(STUDENT) = 718 -2x
(hope you can get the TOTAL n(STUDENT) to be able to find x, which is the
n(Drugs ∩ Cigarettes)