What is the side length of a cube with a volume of 8000 in3?
Answers
Volume = s³
s³ = 8000 in³
So, s = ³√8000 = 20 in
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The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x f(x) = 90(1.013)x f(x) = 91.2(2.2)x f(x) = 90(2.2)x
HELP ASAPP!!!!!!The bill at dinner was $145.67. I gave the waiter a 20% tip. How much tip did i give the Waiter?
Answers
Answer:
Step-by-step explanation:
School allots £1500 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off
therefore 4/5*35 = 28 for the tickets
:
A train ticket for the day will cost £15 each.
therefore total cost for each: 28 + 15 = 43 pounds each
:
If 2 teachers and the maximum number of students attend, how much money will the school have left over?
:
let s = no. of students
43(s+2) =< 1500
43s + 86 =< 1500
43s =< 1500 - 86
43s =< 1414
s =< 1414/43
s =< 32.88, 32 students max
:
find how much left over. plus 2 teachers = 34 people
1500 - 43(34) =
1500 - 1462 = 38 pounds left over
Final answer:
After taking into account the reduced ticket price and transportation costs for two teachers and the maximum number of students (32) that can attend, the school will have £34 left over.
Explanation:
The question involves a calculation of total spending on a school trip to the theatre including train tickets and theatre tickets for teachers and students. The regular cost of each theatre ticket is £35 but there is a 1/5 off, making each ticket cost £28. For train tickets, each costs £15. If we calculate for the 2 teachers first, it will be £28 (theatre ticket per teacher) x 2 (total teachers) + £15 (train ticket per teacher) x 2 (total teachers) = £86. We then subtract this from the total money spent to find out the available budget for the students which is £1500 - £86 = £1414. To find out maximum students that can attend, we need to divide this available budget for students with total cost per student (theatre ticket + train ticket), i.e., £1414 / (£28 (theatre ticket per student) + £15 (train ticket per student)) = £1414 / £43 = 32 students (in case of a fractional number, the number of students is always rounded down because we can't have a fraction of a student). So, the money left over will be the remaining of the £1414 after taking out the expense for the 32 students: £1414 - 32 students * £43 = £34.
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Answers
f(x)=-x+4
f(-3)=-(-3)+4=3+4=7
f(-2)=-(-2)+4=2+4=6
f(-1)=-(-1)+4=1+4=5
f(1)=-1+4=-1+4=3
So the range is Option B : {7, 6, 5, 3}
Answers
Answers
Final answer:
The statement 'Half of j minus 5 is the sum of k and 13' represents an algebraic equation and it can be written in the mathematical form as j/2 - 5 = k + 13. To solve for j, the equation can be rearranged to j = 2*(k + 13 + 5).
Explanation:
The question seems to involve solving an algebraic equation. First, let's convert the statement, 'Half of j minus 5 is the sum of k and 13', into its mathematical form.
Here 'half of j' can be written as j/2, 'minus 5' as '- 5', and 'the sum of k and 13' can be written as k + 13.
So the mathematical equation is: j/2 - 5 = k + 13.
If you need to solve this for j, you can rearrange the equation like so: j = 2*(k + 13 + 5). This formula will give you the variable j with respect to variable k.
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Answers
Answer:
increases
Step-by-step explanation:
A patient receives 150 cc of medication in an IV drip over 4 hours. What is the rate per hour of this dose?