HELP ME PLEASE! 30 POINTS
2 answers:
Answer:
C=14
Step-by-step explanation:
To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.
(14,0) (0,17.5) (3.08,3.64)
C=14+3(0) C=0+3(17.5) C=3.08 + 3(3.64)
C=14 C=52.5 C=14
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The greatest number of sandwiches that Olivia can make is 12.
3 slices of cheese will be on each sandwich
<u>Solution:</u>
Given that, Olivia has 48 slices of ham and 36 slices of cheese to make sandwiches.
We have to find what is the greatest number of sandwiches that Olivia can make? And how many slices of cheese will be on each sandwich?
Let the number of sandwiches be "n"
Then, number of slices of ham per sandwich
And, number of slices of cheese per sandwich
As slices can’t be fractions, "n" should be a factor of 48 and 36. So now let us find H.C.F of 48 and 36 as we want greatest number of sandwiches that Olivia can make.
The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, and 36
The common factors are those which appear on both factors of 48 and 36 are 1, 2, 4, 6, and 12.
Out of these common factors, 12 is the greatest
So, H.C.F of 48 and 36 is 12, which means n = 12
Then, number of cheese slices per sandwich
Hence, 12 sandwiches can be made with 3 slices of cheese per sandwich.
Answer:
75600
Step-by-step explanation:
We are given that a word MATHEMATICS
Total letters =11
M repeated 2 times
T repeated 2 times
A repeated 2 times
Total vowels=4
Let MTHMTCS=P
Total number of ways in which MTHMTCS can be arranged=
PAEAI
Total number of ways in which PAEAI can arranged=
Total number of arrangements when all consonant appear together=
Total number of arrangements when all consonant appear together=
By using formula ;