To do this problem you must find the GCF or the greatest common factor of 36 and 42. For example 36 can be made by 1 and 36 2 and 18 3 and 12 4 and 9 and 6 and 6. 42 can be made by 1 and 42 2 and 21 3 and 14 and 6 and 7. The highest common factor is 6. So, if you put 6 berries on all of the desserts, you will put 6 strawberries on 6 tarts and 6 blueberries on 7 tarts. That’s a total of 13 desserts
Answer:
269
Step-by-step explanation:
6(3)+23+(7)(33)-3
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18 + 23 + 231 - 3 = 269
-30-6r=36
We move all terms to the left:
-30-6r-(36)=0
We add all the numbers together, and all the variables
-6r-66=0
We move all terms containing r to the left, all other terms to the right
-6r=66
r=66/-6
r=-11
Answer: $2 or $9
<u>Step-by-step explanation:</u>
Revenue (R) = $1800 , x = 1100 - 100p
R = xp
1800 = (1100 - 100p)p <em>substituted x with 1100 - 100p</em>
1800 = 1100p - 100p² <em>distributed p into 1100 - 100p</em>
100p² - 1100p + 1800 = 0 <em>added 100p² & subtracted 1100p</em> on both sides
p² - 11p + 18 = 0 <em>divided both sides by 100</em>
(p - 2) (p - 9) = 0 <em>factored quadratic equation</em>
p = 2 p = 9 <em>applied Zero Product Property to solve for p</em>
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The variance is the total of the squared distances of the given data from the mean.
This can be calculated through the equation,
σ² = summation of X² / N - μ²
where σ² is the variance X's are the data, N is the number of terms, and μ is the mean.
summation of X² = 100² + 100² + 120² + 120² + 180² = 81200
N = 5
μ = (100 + 100 + 120 + 120 + 180) / 5
μ = 124
Substituting these values to the equation for variance,
σ² = (81200/5) - 124² = 864
Thus, the variance is equal to 864.
