The advance tickets were 35 in number and the same day ticket will be 30 in number.
What will be the number of tickets?To find out the number of the tickets sold we will give some notations so the notations are as follows:-
A= Cost of advance tickets=$30
S= cost of same-day ticket-=15
[tex]N_A=[/tex] Number of the advance tickets
[tex]N_S=[/tex]Number of same-day tickets.
The equations made by the given data will be:-
[tex]30N_A+15N_S=1500\\\\\\N_A+N_S=65[/tex]
By solving the above equations:-
[tex]N_S=30\ \ \ \ \ \ N_A=35[/tex]
Hence the advance tickets were 35 in number and the same day ticket will be 30 in number.
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What is value of m in the equation 3 (2x - 4) = x +3
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
x = 3Step-by-step explanation:
What is value of m in the equation
3 (2x - 4) = x +3?
3 (2x - 4) = x + 3
6x - 12 = x + 3
5x = 15
x = 15 : 5
x = 3
The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.
They are 2 and 3, since 2 + 3 = 5
Let x be the smaller number. Then
x + (x + 1) = 5
2x + 1 = 5
2x = 4
x = 2
x + 1 = 3
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars. Calculate the following. (Round your answer to two decimal places.)
sample mean = x
If Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Then the mean of the sample is 3.75.
What is Mean?The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency.
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week.
Fourteen people answered that they generally sell two cars; nineteen generally sell three cars; twelve generally sell four cars; nine generally sell five cars; eleven generally sell six cars.
Then the mean of the sample will be
[tex]\rm Mean = \dfrac{1}{N} \times \Sigma _{i} \ \ x_if_i[/tex]
Then the table is given below.
Then we have
[tex]\rm Mean = \dfrac{1}{65} \times (244)\\\\\\Mean = 3.7538\\\\Mean \approx 3.75[/tex]
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If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55
16/10= 96/60=8x/55=8/5
8x*5=55*8
40x=440
x=11
Solve the following equation algebraically:
3x²=12
A. +3
b. ±2
C.+3.5
d. ±1.5
Answer:x = ± 2
Step-by-step explanation:3x² = 12
x² = 12/3
x² = 4
x = √4
x = ± 2
Answer: x = ± 2 hopes that helps you out bud
Answer
x = 2 or x = -2
Brainliest?
Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer
Step-by-step explanation:
the united set of A and B contains every element of both sets without listing any element twice.
so, it is
{1, 2, 4, 5, 7, 8, 11}
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?
Use the the limit of sin of x all over x as x approaches 0 equals 1 to determine the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0.
The limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
Limit of the function
The limit of the function is determined as follows;
[tex]\lim_{x \to 0} \ \frac{sinx}{x} = 1\\\\ \lim_{x \to 0} \ \frac{x(cos5x)}{sin5x}[/tex]
The derivative of the function;
[tex]\frac{xcos(5x)}{sin5x} = \frac{-5x(sin(5x)) + cos(5x)}{5cos(5x)}\\\\= \frac{-5x(sin(5x))}{5cos(5x)} + \frac{cos(5x)}{5cos(5x)} \\\\ \lim_{x \to 0} \\\\= 0 + \frac{1}{5} = \frac{1}{5}[/tex]
Thus, the limit of x times cosine of the quantity 5 times x all over sine of the quantity 5 times x as x approaches 0 is determined as ¹/₅.
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7. Given the following Balance Sheet
extract, calculate the net profit on the
Income Statement. (Assuming tax rate
= 10% of operating profit)
Balance Sheet Extract:
Shareholders Equity
Common Stock
200
25
Retained Earnings
Revenues
170
Cost of Sales
(103)
Salaries
(30)
Interest
(12)
The net profit on the Income Statement based on the balance sheet given will be 21.
How to calculate the net profit?The net profit will be calculated thus:
Revenue = 170
Less coat of sales = 103
Less salaries= 30
Operating income = 30
Less interest = 12
Income before tax = 25
Less Income tax = (10% × 37) = 3.7
Net profit = 21.3 = 21
Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.
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Curtis threw 15 darts at a dartboard. 40% of his darts hit the bullseye. How many darts did not hit the bullseye?
Answer:
9
Step-by-step explanation:
Because 40% hit the bullseye, we can subtract 40% from 100% meaning 60% did not hit the bullseye.
We can then convert 60% into the decimal .6 and multiply it by 15.
15 x .6 = 9
A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.
I need help in this question
Answer:
I am not entirely sure but The maximum is 500 and b $0.50
Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)
Answer:
left one on 3rd row
Step-by-step explanation:
using the rules of exponents/ radicals
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
given
[tex]12^{-\frac{4}{7} }[/tex]
= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]
= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]
A budget splits the money available each month between departments A, B and C in the ratio 4:2:3. 1.1 If the total amount available in the budget is R 450 000 for the upcoming month, how much will department B have available?
Answer:
B = R 100 000
Step-by-step explanation:
B will be 2 out of 4 + 3 + 2 = 2/9 of the total
2/9 * 450 000 = 100 000
I need help asap please
Answer:
17.5
Step-by-step explanation:
Two points which lie on the line are : (0, 0) and (4, 70)
Constant of proportionality :
y₂ - y₁ / x₂ - x₁70 - 0 / 4 - 070/417.5The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate
Answer is 5
Slope is found by finding change in y over change in x
First I solved for Y, -15-3= -18
So I knew x had to be -9 for the slope to be 2
See picture for detailed math
pretend this is a 20 letter question please help me
Answer:
1.64+0.94v
Step-by-step explanation:
0.2(8.2+4.7v)
0.2(8.2)+0.2(4.7v)
1.64+0.94v
I'm not very confident with this answer but I hope this helps
These are similar
figures. Solve for x
Answer:
x= the second one I hope I helped
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.
The amount liters of liquid needed for 2 servings of pudding.
Solution:1 serving:[tex]600 + 120[/tex]
[tex] = 720 \: ml[/tex]
2 serving:[tex]720 \times 2[/tex]
[tex] = 1440 \: ml[/tex]
Let's solve[tex]\boxed{\sf{Formula: 1 \: L = 1000 \: ml}}[/tex]
[tex] \frac{1440}{1000} [/tex]
[tex]\large\boxed{\sf{= 1.44 \: L}}[/tex]
Therefore, 1.44 litres of liquid are required for 2 servings.
Translate into an equation.
The sum of seven and a number, x, is five.
Answer:
x + 7 = 5
Step-by-step explanation:
I think this should be an equation I’m in 7th and I am learning these again so it should be an equation.
If ABCD and MNPQ are squares, where M is the center of the first. Calculate x
Answer:
x=48º
Step-by-step explanation:
The expression 12.66d + 11.12c can be used to find the total cost of d pounds of almonds and c pounds of cashews. How much does it cost to buy pounds of almonds and pounds of cashews?
Pls help
Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove:
E
D
F
חד
C
The proof of the given statements is shown below:
What is tangent to a circle?A line segment which touches a circle specified to only one point is called a tangent to that circle.
1. given
2. A line is a tangent to a circle if and only if the line is perpendicular to the radius drawn to the point of tangency.
3. Since the tangent is perpendicular to radius i.e., EFC is right angle then,
angle EFC =90
4. Sum of interior angles of a triangle is 180°.
5. proved above: angle EFC= 90
6. FEC + ECF= 180-90=90
7. As proved above
FEC + ECF=90, its shows that angle FEC and ECF are complementary angle.
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Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?
Answer:
y=0.5x + 4
..............
Answer:
The answer is C y=0.5x+4
Step-by-step explanation:
Which figure could Jose have constructed?
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
?
can anyone tell me what points I plot these two at ? ty
Answer:
Both graphs in 2 separate attachments--placed in order
Hope it helps.
Hello ~
My name is Sxnnysoul, and I will be answering your question today! :D
Let's solve for x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 4}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 4 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 4}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 4} \: or \: = - \sqrt{-y^2 \: + \: 4}[/tex]
P.S here's the graph that might help you!
Let's solve of x ~
⇢ [tex]\sf{x^2 \: + \: y^2 \: = \: 32}[/tex]
⇢ [tex]\sf{Step \: 1: \: Add \: -y^2 \: to \: both \: sides.}[/tex]
⇢ [tex]\sf{x^2 \: + \: y^2 \: + \: -y^2 \: + \: = \: 32 \: + \: -y^2}[/tex]
⇢ [tex]\sf{x^2 \: + \: -y^2 \: + \: 32}[/tex]
⇢ [tex]\sf{Step \: 2: \: Take \: square \: root.}[/tex]
⇢ [tex]\sf{x \: = \sqrt{-y^2 \: + \: 32} \: or \: x \: = - \sqrt{-y^2 \: + \: 32}[/tex]
P.S here's the second image of the graph. so, you won't get confused.
Hope It Helps! ~
~ Learn With Sxnnysoul ~
[tex]\underline{Answer :}[/tex]
ꜱ x ɴ ɴ ʏ ꜱ ᴏ ᴜ ʟ
The radius, R, of a sphere is 7.8 m. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
1986.8m³
Step-by-step explanation:
Radius=7.8m
Volume of sphere =4/3pi r³
=4/3×3.14×7.8³=1986.8m³
Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]
Answer:
-2/5
Step-by-step explanation:
I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!
Answer:
-2/5
Step-by-step explanation:
+ × - = -
10/5-12/5
apply the fraction rule a/c-b/c =a-b/c
10-12/5
substract 10-12 =-2
-2/5
HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?
What do you know about the sides of a cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Step-by-step explanation:
1 15625 m
2 13824 m
3 343 m
4 14167 m
5 cube with 25 m