A 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 A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?
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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Read the picture above to answer. Thanks
Answers
Answer:
60 yds
Step-by-step explanation:
10 + 15 + 4 + (10 - 4) + 20 + (20 - 15) = 60
Answer: 60 Yards
In this model, we have all sides except for two. In order to find the perimeter of this, you would need all sides.
To find the missing sides you can see that the lenght of the side on the left is 10 yards. And the entire right side is equal to that left side. So, to find the missing side x you would need to solve: x+10-4. So, x is 6.
Do the same for the top and bottom to get the other missing side that is perpendicular to the side that is 4 yards is 5 yards.
Now that you have the lengths of all of the sides, you can solve for the perimeter. You would do,
Please mark brainliest if correct :)
Answers
Final answer:
To find the height of the cone, we can use the formula for the lateral area of a cone and the Pythagorean theorem. The height of the cone is approximately 11.3 cm.
Explanation:
To find the height of the cone, we need to use the formula for the lateral area of a cone, which is given by:
Lateral Area = πrL
where r is the radius of the base and L is the slant height of the cone. Since the diameter of the cone is 10.2 cm, the radius is half of that, which is 5.1 cm. We can rearrange the formula and solve for L:
L = Lateral Area / (πr) = 198.6 cm² / (3.14 x 5.1 cm) ≈ 12.4 cm
Now that we have the slant height, we can use the Pythagorean theorem to find the height of the cone. The height (h) and the slant height (L) form a right triangle with the radius (r) as the hypotenuse. Applying the Pythagorean theorem:
h² + r² = L² = h² + (5.1 cm)² = (12.4 cm)²
From this equation, we can solve for h:
h² = (12.4 cm)² - (5.1 cm)²
After evaluating this equation, we find that h ≈ 11.3 cm, so the height of the cone is approximately 11.3 cm to the nearest tenth of a centimetre.
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Answers
please help
Answers
Answer:
∠ ACD = 70°
Step-by-step explanation:
The angle on the circle subtended by arc AB is half the angle at the centre subtended on the same arc, that is
∠ ACD = ∠ AOB =
× 140° = 70°
B. 21.743.
C. 5.217.
D. 6.815.
Answers
The answer is C.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.
Please select the best answer from the choices provided
A
B
C
D
Answers
4000/12 = 333
333+80 = 413
413*20= 8260 they have enough
400/12=333
333*22= 7326 not enough