Answer:
£36
Step-by-step explanation:
From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off
Then the cost of each ticket with 1/5 off= (4/5×40)= £32
From the question, A train ticket for the day will cost £20 each.
Then total cost for each of it = £32+£20
=£52
To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.
Let us denote the number of students as "x"
52(x+3)= < 3000
52x + 156 =< 3000
52x =< 3000 - 156
52x =< 2844
X =< 2844/52
s =< 54.69,
The max. Number of students is 54
Total number of people= Number of students + the 3 teachers
= 54+3= 57
Total cost for 57 people= (£52 × 57 people)= £2964
The amount of money the school will have as left over = (£3000 - £2964)
= £36
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
Answer: 6 5/7
Step-by-step explanation:
The scatter plot showing data gathered and line of best fit is attached below :
Answer:
69
Step-by-step explanation:
Given the regression model :
y = 1.73x + 0.0924
Where,
y = number of pink flowers
x = Red flowers
Slope = 1.73
Intercept = 0.0924
The number of pink flower that are predicted to bloom on a shrub of 40 red flowers :
Put x = 40 and calculate the value of y
y = 1.73(40) + 0.0924
y = 69.2 + 0.0924
y = 69.2924
Number of pink flowers = 69
Answer:
5x + 45
Step-by-step explanation:
distribute 5 to both x and 9 so multiply them both
