A catering company charges a $300 set up fee and $10 per person for a lunch buffet. Approximately how many people must attend the lunch so that the total cost per person is $14?
Answers
Answer:
Let x be the number of person and y be the total cost per person.
As per the statement:
A catering company charges a $300 set up fee and $10 per person for a lunch buffet.
"$10 per person" translated to 10x
then;
Total cost per person = 10x+300
It is also given that: total cost per person is $14.
⇒
Subtract 10x from both sides we have;
Divide both sides by 4 we have;
x = 75
Therefore, 75 number of people must attend the lunch so that the total cost per person is $14
CATERING TOTAL COST F(X) = 10X + 300
TOTAL REQUIRED 14X
10X + 300 = 14X
10X - 14X = -300
-4X = -300
4X = 300
X= 300/4
X=75 <------------------SOLUTION
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T multiplied 3/4 for t= 8/9
Answers
t or f
Answers
The marks that have to be scored in 6th test to make the average 85 is 105 .
What is Average ?
Average of a data set is the ratio of sum of all the data to the number of data in the set.
It is given that the average score = 81
Total tests up till now = 5
Total tests overall = 6
New Average = 85
Let the sum of the score for 5 tests is x
Then by the formula of average
x / 5 = 81
x = 405
Now let the marks scored in the 6th test is y
then ( 405 +y) / 6 = 85
405 + y = 510
y = 105
Therefore , the marks that have to be scored in 6th test to make the average 85 is 105 .
To know more about Average
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false... even if you got 100 on the next test, you would only have an 84 average
Hope this helped!!! :) (comment if you don't understand)
Y=-2/3x+1
Y=3/2x+7
Y=-3/2x+7
Answers
The line that is perpendicular to the given line, is:
y = (-3/2)*x + 7
How to get the perpendicular line?
Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.
Here we start with the line:
y = (2/3)*x + 3
So the slope is 2/3.
The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:
Y = -(3/2)x+7
If you want to learn more about perpendicular lines:
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Answers
Answer:
The answer is c.) 27 unit cubes.
Step-by-step explanation:
I just took the usatestprep assignment.
Answers
At 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.
What is least common multiple?
" Least common multiple is defined as the smallest number which is a multiple of given set of numbers."
According to the question,
Given,
Time to start regime = 10am
Time to take antibiotic =Every 6hours
Time to take pain reliever =Every 4hours
Time to drink a glass of water =Every 3hours
Least common multiple of ( 6, 4, 3) = 12
After 12 hours Jack is taking both medicines and a glass of water.
Start regime at 10am
Time after 12hours is 10pm.
Hence, at 10p.m that is after 12 hours of time gap he be taking both medicines and a glass of water.
Learn more about least common multiple here
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went to the cafeteria?
Answers
Answer:
53.85%
Step-by-step explanation:
14 of the 26 went to the cafeteria
14/26
7/13
Change to decimal form
.538461538
Change to percent form from decimal form
53.85%
Answer:
54% went to the cafeteria
Step-by-step explanation:
14/26= 0.53846153846 or .54
.54*100= 54%
I hope this helps!!!