Answer:
Step-by-step explanation:
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
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%
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:
What is the measure of
Answer:
The measure of ∠G is 59°
Step-by-step explanation:
When two secants, intersect at a point outside a circle then the measure of the angle formed between them is one-half the positive difference of the measures of the intercepted arcs.
In the given figure
∵ GT is a secant that intersects the circle at points H and T
∵ GE is a secant that intersects the circle at points F and E
∴ The intercepted arcs are HF and TE
∵ GT ∩ GE at G
∵ Point G is outside the circle
→ By using the rule above
∴ m∠G = [tex]\frac{1}{2}[/tex] (m arc TE - m arc HF)
∵ m arc TE = 175°
∵ m arc HF = 57°
→ Substitute them in the rule above
∵ m∠G = [tex]\frac{1}{2}[/tex] (175 - 57) = [tex]\frac{1}{2}[/tex] (118)
∴ m∠G = 59
∴ The measure of ∠G is 59°
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
select the correct solution for 12x = 60
(A) X = 1/5
(B) X = 48
(C) X = 5
(D) X = 72
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
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
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
Find the area of the polygon.
Divide. Express each answer as a decimal. 5÷4 4÷5 30÷12 12÷30
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Answer:
5÷4 = 1.25
4÷5 = 0.8
30÷12 = 2.5
12÷30= 0.4
Step-by-step explanation:
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
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°
19. (9x - 4)(x-6)
21. (-5x + 6)(x + 5)
23. (x2 - 8)(x + 4)
25. (x2 + 10x)(x - 3)
Help please!!
Circle describe in your own words
is 1 +4(3x -10) -12 equivalent to -9?
Tickets to a school dance cost $5. Ninety tickets have already been sold. How many more tickets x must be sold to earn at least $700? Write your answer as an inequality.
Step-by-step explanation:
5x90=450
700-450=250
250/5=50
50 more tickets.
i don't know if that's in an inequality form or not. but that's how many tickets
Represent
31/42
as a decimal. Round to 2 decimal places.
Answer: 0. 74
Step-by-step explanation: 31/42= 0.738095238095= 0.74
answers for both boxes please
What is the slope of the line that contains the points (-4, 2) and (6, -3)?
Answer:
-1/2 or [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
to find the slope, use the formula
(y₁ - y₂)/(x₁ - x₂)
(2 - -3)/(-4 - 6)
(2 + 3)/(- 4 - 6)
5/-10
1/-2
-1/2
The price of an iPod is reduced in a sale from £200 to £145. The price of the iPod is further decreased by 22% two months later. Find the new price.
Answer:
£113.1
Step-by-step explanation:
The price of an iPod is reduced in a sale from £200 to £145.
The price of the iPod is further decreased by 22% two months later. Find the new price.
The above question is solved below:
We are to find the new price.
The percentage decrease = 22%
Hence:
£ 145 × 22% = £31.9
The new price is:
£145 − £31.9 = £113.1
Karla's jewelry box is shaped like a rectangular prism. The bottom surface of the box has an area of 65 square inches. The height of the box is 12 inches. What is the volume, in cubic inches, of Karla's jewelry box? *
Answer:
780 cubic inches
Step-by-step explanation:
Step one:
Given data
The bottom surface of the box has an area of 65 square inches.
Already given an area and a height of 12 in
we proceed to find the volume by multiplying Area and height
Required
The volume of the box
Volume= Area* height
Step two:
Volume= 65*12
Volume = 780 cubic inches
Marcie likes to collect stickers, but she also likes to give them away. Currently, Marcie has 87 stickers in her collection. If Marcie collects 5 new stickers each week and gives away 3 stickers each week, how many stickers will Marcie have in her collection after 5 weeks?
Answer: 97 stickers
Step-by-step explanation:
Marie has 87 stickers in her collection.
Each week she collects 5 and gives away 3.
The total number of stickers she gains per week is therefore:
= 5 - 3
= 2 stickers per week
In 5 weeks therefore, she would have collected:
= 2 * 5
= 10 stickers
Add that to the original number:
= 87 + 10
= 97 stickers
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
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° = 3/4Five numbers are shown on the number line. 7.5% 7 5 0.75 0 0.5 5 The point representing 5/9 is located between which two numbers
Answer: it’s G i had the same question on my test
Answer:
there is no G...........
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 = -224/33−7×7+9× −1/−1 = ?
evaluate?
Answer:
-40
Step-by-step explanation:
-7 x 7 + 9 x (-1) / (-1)
-49 + 9 x (-1) / (-1)
-49 - 9 / (-1)
-49 + 9
= -40
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