Answer:
(_1,_7),(_2,_6),(_3,_5),(_4,_4)(_5,_3)
A school allots £3000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £40 each and are on offer for 1 5 off. A train ticket for the day will cost £20 each. If 3 teachers and the maximum number of students attend, how much money will the school have left over?
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
solve question 20 (a) and (b)
Answer:
You first have to read on the coordinates where the curve and the straight line meet or cuts across
a.) 53
b.) 13
A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity after 4 years, to the nearest hundredth?
Answer:
410.32
Step-by-step explanation:
Given that the initial quantity, Q= 6200
Decay rate, r = 5.5% per month
So, the value of quantity after 1 month, [tex]q_1 = Q- r \times Q[/tex]
[tex]q_1 = Q(1-r)\cdots(i)[/tex]
The value of quantity after 2 months, [tex]q_2 = q_1- r \times q_1[/tex]
[tex]q_2 = q_1(1-r)[/tex]
From equation (i)
[tex]q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)[/tex]
The value of quantity after 3 months, [tex]q_3 = q_2- r \times q_2[/tex]
[tex]q_3 = q_2(1-r)[/tex]
From equation (ii)
[tex]q_3=Q(1-r)^2(1-r)[/tex]
[tex]q_3=Q(1-r)^3[/tex]
Similarly, the value of quantity after n months,
[tex]q_n= Q(1- r)^n[/tex]
As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,
[tex]q_{48}=Q(1-r)^{48}[/tex]
Putting Q=6200 and r=5.5%=0.055, we have
[tex]q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32[/tex]
Hence, the value of quantity after 4 years is 410.32.
Answer:
442.44
Step-by-step explanation:
how to find the trigonometric ratio
Answer:
tanZ° = 3/4
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Identify Variables
Angle θ = Z
Opposite Leg XY = 21
Adjacent Leg YZ = 28
Step 2: Find Trig Ratio
Substitute [tangent]: tanZ° = 21/28Simplify: tanZ° = 3/4select the correct solution for 12x = 60
(A) X = 1/5
(B) X = 48
(C) X = 5
(D) X = 72
is 1 +4(3x -10) -12 equivalent to -9?
If f(1) = 8 and f(n) = 2f(n − 1) then find the value of f(5).
2f(2Answer:
Step-by-step explanation:
f(1)=8
f(2)= 2(8) = 16
f(3) = 2(16) = 32
f(4) = 2(32) = 64
f(5) = 2(64) =128
How do I solve this guys or girls
Answer:
Naruto usamaki is the greatest hokagey in the leaf village
Step-by-step explanation:
I took the test on edge
HELP ASAP PLEASE
List the coordinates for the plotted points A, B, C, and D.
Answer:
Use Desmos
Step-by-step explanation:
Suppose you have 4 purple marbles, 3 green marbles, and 5 red marbles.
If 4 marbles are selected at random, what is the probability you will get exactly 1 purple?
*Note, write your answer as the most reduced fraction possible.
For example 1/3 NOT 6/18.
Answer:
3/4
Step-by-step explanation:
Represent
31/42
as a decimal. Round to 2 decimal places.
Answer: 0. 74
Step-by-step explanation: 31/42= 0.738095238095= 0.74
A marching band sold 350 tins of popcorn for $8 each. Each tin cost the
band $4. How much money did the band make?
$ 1.400
$700
$350
$4.200
Answer:
The band made $1,400
Step-by-step explanation:
8-4=4
350*4=1,400
Helpppp meeeeee pleaseeeee
Answer:
x+3=5 is the answer you're looking for.
Answer:
x+3=5
Step-by-step explanation:
x-2y = 12
15x + 3y = -44
Elemination
Answer:
x - 2y = 12--------------eq(1)15x + 3y =-44--------------eq(2)multiply the 1st equation by 15 therefore we get a new equation..and we mark it as 3rd eq15x - 30y = 180-------eq(3)15x + 3y =-44--------------eq(2)now you can see (x) term in both the equations are the same...sothere is a law in elimination methodif the terms are equal we subtract the rest without the equaled termif the terms are different we add the rest without the different term so here term are equal so we subtracteq(3)-eq(2)-30y -3y = 180 -(-44)-33y = 224y = -224/33then let's get the answer for (x) term by substitute the answer we got for y to any of the above equation without our new equation (3)x - 2y = 12--------------eq(1)x - 2 (-224/33) = 12x = -52/33answers x = -52/33y = -224/331/3 squared 4= pls I need help on this it’s a quiz :(
Answer:
1/3^4= 0.01 or 1/81
Step-by-step explanation:
prove me wrong
Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?
Answer:Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?
Step-by-step explanation:
Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?
Are the ratios 5:4 and 17:12 equivalent?
Answer:
yes
Step-by-step explanation:
These fractions are equivalent because they can be divided by the same number... i think
Mitch made 12 out of 40 shots during the championship game. What percent of his shot did Mitch make
Answer:
30%
Step-by-step explanation:
1) Divide how many shots Mitch made by the total amount of shots
12/40 = 0.3
2) Move the decimal place to places to the right to get the percentage.
0.3 --> 30%
help please need this answer quickly!!
Answer:
m<4 = 83
m<1 = 97
Step-by-step explanation:
bduruhrie
What is the square root of 2 times the square root of 3
Answer:
square root of 2 times square root of 3
2.44
Please Help :(
Evaluate the expression when x = 9:
5|6−x|
A)−30
B)10
C)15
D)75
Answer:
it is C
Step-by-step explanation:
Its c because i had the exact same problem
What are the coordinates of point K?
Answer:
i think its b
Step-by-step explanation:
im not sure but i hope this helps
Answer:
the answer is the last one or D
Step-by-step explanation:
0.47 ÷100
with process
Answer:
0.0047
Step-by-step explanation:
Find the area of the polygon.
Please help me with this
9514 1404 393
Answer:
98°
Step-by-step explanation:
Inscribed angle FGH is half the measure of the intercepted arc FH. The measure of arc FH is identical to the measure of central angle FIH. So, angle FIH has twice the measure of inscribed angle FGH:
∠I = 2×∠G = 2×49°
∠I = 98°
Can someone please help me with this
a middle school cafeteria found out that 10 out of every 35 students pick low-fat milk to drink for lunch. Based on this information, if 1,190 students go through the cafeteria line each day, how many students will pick low-fat milk?
Your answer choices:
340
440
500
Answer:
340
Step-by-step explanation:
x = number students who choose low-fat milk
set up a proportion: [tex]\frac{10}{35}[/tex] = [tex]\frac{x}{1190}[/tex]
cross-multiply: 35x = 11900
divide each side by 35
Five sisters each bought matching scarves and two pairs of socks. The scarves were priced at $12.00. If the total bill for all 5 sisters was $125.00. What was the price for one pair of socks?
Answer:
$6.50/per pair of socks
Step-by-step explanation:
12*5=60
125-60=65
65/10=6.50
Smart ppl will find this math problem in the screenshot provided very easy.
Answer:
its 155
Step-by-step explanation:
125 + 10 + 10 + 10 i had answered before but it got deleted
19. (9x - 4)(x-6)
21. (-5x + 6)(x + 5)
23. (x2 - 8)(x + 4)
25. (x2 + 10x)(x - 3)
Help please!!