Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
What is Y=2x+1 I can’t find it
Y=2x+1 is an equation used in mathematics to calculate the relationship between two variables, X and Y.
What is equation?An equation is a physical and mathematical statement that describing physical phenomena are describe the relationship between different physical quantities it typically consists of two or more variable which are simple representing physical quantity and then equal sign the variable may be quantity such as force velocity or energy.
This equation is a linear equation, meaning it is a straight line when graphed. It is a very basic equation and one of the most commonly used equations.
To use this equation, you will need to know the value of X. Once you have determined the value of X, you can plug it into the equation to calculate the value of Y. For example, if X=3, then the equation would look like this: Y=2(3)+1, which equals 7. Therefore, when X=3, Y=7.
The equation Y=2x+1 is often used in a variety of math problems, such as determining the slope of a line, calculating the area of a triangle, and finding the equation of a circle. It is also used in physics to calculate velocity or acceleration. As you can see, this equation is quite versatile and can be used in a variety of situations.
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How is (8÷ 2) + (4 x 7) written as a verbal description?
When my wife and I drove to Boston from Chicago (a trip of about 1170 miles), the trip took a total of 20 hours. The first part of the trip, I drove at an average speed of 55 mph. The second part of the trip was driven by my wife, who drove at an average speed of 65 mph. For how many hours did each of us drive?
Let's call the time you drove "x" and the time your wife drove "y". We know that the sum of the two times is 20 hours:
x + y = 20
We also know the distance traveled during each part of the trip. The first part of the trip was 55x miles, and the second part of the trip was 65y miles. The total distance of the trip was 1170 miles:
55x + 65y = 1170
We can use the first equation to solve for x in terms of y:
x = 20 - y
We can then substitute this expression for x in the second equation:
55(20 - y) + 65y = 1170
Simplifying and solving for y:
1100 - 55y + 65y = 1170
10y = 70
y = 7
So your wife drove for 7 hours. We can use the first equation to find your driving time:
x + 7 = 20
x = 13
So you drove for 13 hours.
Answer:
13 hours
Step-by-step explanation:
Equations with variable on both sides
Answer:
n = -3
Step-by-step explanation:
3n - 15 = 7n + n
3n - 15 = 8n
3n - 8n = 15
-5n = 15
n = -3
Pls po i really need this help. I'll mark brainliest who answered po.
The table is filled as follows
x P(x) x P(x) (x - μ)²
3 3 9 961
4 7 28 900
5 22 110 841
6 60 360 784
7 85 595 729
8 32 256 676
9 8 72 625
mean, μ = 34.05
variance = 919.33
standard deviation = 30.32
How to solve for the meanThe mean is calculated using the information provided as follows
= summation of (x P(x) ) / summation of x
= 1430 / 42
=34
The variance is solved by the formula
= summation of (x - μ)² / (n - 1), where n = 7
= 5516 / (7 - 1)
= 5516 / 6
= 919.33
the standard deviation is solved using the formula
= √variance
= √919.33
= 30.32
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if a triangle is other side is 7m and other side is 12m what is the other side going to be
The value of the other side is 9. 7 m
How to determine the length of the sideUsing the Pythagorean theorem stating that the square of the hypotenuse side is equal or equivalent to the sum of the squares of the other two sides.
From the information given, we have that;
One side is 7mThe other side is 12mThis is represented as;
12² = 7² + x²
Find the value of the squares, we get;
144 = 49 + x²
collect like terms. we get;
x² = 144 - 49
subtract the values, we have;
x² = 95
Find the square root of both sides
x = 9. 7 m
Hence, the value is 9. 7 m
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Susan Marciano invested part of her $32,000 bonus in a fund that paid a 9% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each
investment if her overall net profit was $2,040.
The amount invested at 9% is $.
The amount invested in stock is $
Let x be the amount of money invested in the 9% fund. Then the amount invested in the stock is $32,000 - x. The profit from the 9% investment is 0.09x and the loss from the stock investment is -0.03(32000 - x).
What exactly does compounding mean?
Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid. Thus, compounding can be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."
The overall net profit was $2,040, so we can set up the following equation to solve for x:
0.09x - 0.03(32000 - x) = 2040
Expanding the second term,
0.09x - 9600 + 0.03x = 2040
Combining like terms,
0.12x - 9600 = 2040
Adding 9600 to both sides,
0.12x = 1640 + 9600
Simplifying,
0.12x = 11240
Dividing both sides by 0.12,
x = 93, 666.67
So, the amount invested in the 9% fund is $93,666.67 and the amount invested in the stock is $32,000 - $93,666.67 = $-61,666.67.
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8 − 1 − (18 − 2) ÷ 8
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
First do 18-2 which is 16
Then do 16 divided by 8 which is 2
Right now the equation is 8 - 1 - 2
Then we minus 8 by 1 which is 7
and then 7 - 2 which is 5
So then our final answer is 5
i need help please :o
Answer:
10.8s
Step-by-step explanation:
120÷11.1= 10.8s (to 3 s.f.)
Oleg is training for a triathlon. One day, he jogged for 2 hours at x miles per hour. Then he bicycled for 2 hours at y miles per hour. Finally, he swam a distance of 2 miles. The total number of miles did not exceed 30 miles.
What is the greatest possible speed that Oleg could have bicycled that day?
The greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.
How did we get the value?Let's call the total distance that Oleg jogged z. Then z = 2x.
The total distance that Oleg bicycled was 30 - z - 2. Let's call this distance w. Then w = 30 - 2x - 2.
Since Oleg bicycled for 2 hours, the speed that he bicycled was w / 2. So, w / 2 = y.
Substituting the expressions for z and w, we have:
y = (30 - 2x - 2) / 2.
Since y must be the greatest possible speed that Oleg could have bicycled that day, x must be the smallest possible value.
Since Oleg jogged for 2 hours, the minimum value of x is 2 / 2 = 1.
Substituting x = 1 into the expression for y, we have:
y = (30 - 2 * 1 - 2) / 2 = (26) / 2 = 13.
So, the greatest possible speed that Oleg could have bicycled that day is 13 miles per hour.
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A family wants to rent a car to go on vacation. Company A charges $35.50 and 9¢ per mile. Company B charges $55.50 and 13¢ per mile. How much more does Company B charge for x miles than Company A?
The amount of money company B charges more for x miles than company A is 4¢
How much more does Company B charge for x miles than Company A?let
Number of miles= x
Company A:
35.50 + 9x
This means company A charges 9¢ per mile
Company B:
55.50 + 13x
This means company B charges 13¢ per mile
The amount of money company B charges more for x miles than Company A = 13¢ - 9¢
= 4¢
Therefore, company B charges 4¢ more than company A for x miles.
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ple Interes How much simple interest would be earned on a savings account of $4,500 at 5.5% interest per year after 24 months? I=(4,500)(055)(2)
4500(1+0.055)^24
4500(1.055)^24
= 16,265.65456755
17 Problem-solving Orla drove 155 km in 2 hours. Then she drove 48 km at a speed of 60 km/h. 48 Work out Orla's average speed for the whole journey.
The average speed for the whole journey is 72.5 km/h. The result is obtained by using the formula for the average speed.
What is average speed?Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as
Avg speed = Total distance covered / Total time taken
The speed itself is
v = s/t
Where
v = speeds = distancet = time takenOrla drove 155 km in 2 hours. Then, she drove 48 km at a speed of 60 km/h. Find the average speed for the whole journey!
We have
s₁ = 155 kmt₁ = 2 hourss₂ = 48 kmv₂ = 60 km/hThe time taken in the second journey is
v₂ = s₂/t₂
60 = 48/t₂
t₂ = 48/60
t₂ = 0.8 h
The average speed will be
= total distance covered / total time taken
= (s₁ + s₂)/(t₁ + t₂)
= (155 + 48)/(2 + 0.8)
= (203)/(2.8)
= 72.5 km/h
Hence, the whole journey will have the average speed of 72.5 km/h.
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John had 72 flyers supposed around town last week he posted 1/3of them this week he posted 5/6 of the remaining flyers how many flyers has he still not posted
Answer:
8 posters
Explanation:
first you need to find how many he posted the first week. You do this by multiplying 72 by 1/3, or 72/3. That is 24. Then, you need to subtract that amount, 72-24 is 48. Then, you need to figure out how many he posted the second week. To do that, you need to figure out what 1/6 of 48 is first. So you would need to divide 48 by 6, which equals 8. So if John posted 5/6 of 48, you then need to multiply 8 by 5, equaling 40. If john posted 40 of his 48, then 48-40 is 8, meaning he has 8 posters to post.
The shortest side of a triangle similar to XYZ is 20 units long. Find the other side lengths of the triangle. The sides to XYZ is 13,12,10
The other side lengths of the triangle will be 24 and 26 units.
How to calculate the side?
It should be noted that based on the information, it's important to write a proportion for the side length.The sides of a triangle are straight lines that are joined by the three vertices of the triangle. In other words, we can say that the sides of a triangle are line segments that meet each other at the vertices of the triangle.The shortest side of a triangle similar to triangle XYZ is 20 units long and the shortest side on the other. triangle is 10. This means the proportion is [tex]\frac{20}{10}[/tex]=2
The other sides will be:
⇒12 × 2 = 24
⇒13 × 2 = 26
Therefore, the sides are 24 and 26 respectively.
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I need help with getting an answer for these
Answer:
Step-by-step explanation:
(-1, 6/5) = logbase4(5x^2) etc
only 5 = ln(x+5) = ln (x-1) + ln(x+1)
only 3 = log(x-1) etc.
(-1, 5) = e^x^2 = e^4x+5
The Smith family will drive 240 miles round-trip to visit a relative. Mr. Smith, Mrs. Smith, and their 20 -year old son, James, will share the driving. Determine whether each statement is correct by selecting True or False. A If Mrs. Smith and Mr. Smith drive 80 miles each, then James will drive for 13 of the round-trip distance. True False B If Mrs. Smith and Mr. Smith drive 90 miles each, then James will drive for 12 of the round-trip distance. True False C If Mrs. Smith drives 90 miles and Mr. Smith drives 50 miles, then James will drive for 512 of the round-trip distance. True False D If Mrs. Smith drives 60 miles and Mr. Smith drives 120 miles, then James will drive for 712 of the round-trip distance. True False
Answer:
Your answer should be: TRUE FALSE TRUE FALSE
The ratio of the number of fiction books to the number of non-fiction books is 5:2 if there are 1421 book fiction and non-fiction books altogether how many fiction books more than nonfiction books are there in the library
Answer:
306
Step-by-step explanation:
Let's call the number of fiction books "f" and the number of non-fiction books "n". From the given information, we know that the ratio of fiction books to non-fiction books is 5:2 and the total number of books is 1421, so we can write the following equation:
f + n = 1421
Since the ratio of fiction books to non-fiction books is 5:2, we can write:
f/n = 5/2
We can cross-multiply to solve for f:
f = (5/2) * n
Substituting this expression for f into the first equation:
(5/2) * n + n = 1421
Expanding the left side:
(5/2 + 2/2) * n = 1421
Simplifying the left side:
(5 + 2)/2 * n = 1421
(7/2) * n = 1421
Dividing both sides by (7/2):
n = 1421 * 2/7
n = 204
So there are 204 non-fiction books and 5/2 * 204 = 204 * 5/2 = 102 * 5 = 510 fiction books.
The difference between the number of fiction books and non-fiction books is 510 - 204 = 306. So there are 306 more fiction books than non-fiction books in the library.
Step-by-step explanation:
If the ratio of fiction and non-fiction books are 5:2. Therefore that means that the total books were divided into 7 parts and the fiction books took 5 parts while the non-fiction books took two parts.
To get the number of fiction and non-fiction books we first add the ratio
[tex]5 + 2 = 7[/tex]
So that means that 7 = 1421
After adding the ratio we now take
The total parts that the books took as the numerator and the total of the ratio as the denominator, and multiply the fraction by the total number of books which is 1421
[tex] \frac{5}{7} \times 1421 = number \: of \: fiction \: books[/tex]
[tex] \frac{2}{7} \times 1421 = number \: of \: non - fiction \: books[/tex]
let's work out each fraction separately
[tex] \frac{5}{7} \times 1421 = \frac{7105}{7} [/tex]
[tex] \frac{7105}{7} = 1015[/tex]
1015 = Number of fiction books[tex] \frac{2}{7} \times 1421 = \frac{2842}{7} [/tex]
[tex] \frac{2842}{7} = 406[/tex]
406 = number of non-fiction booksTo get the answer to the question we subtract the number of non-fiction books from the number of fiction books
[tex]1015 - 406 = 609[/tex]
Answer:609Write the slope-intercept form of the equation of the line satisfying the given conditions.
Through (-2,4); slope: -3/4
Write the equation in slope-intercept form.
(Simplify your answer. Type your answer in slope-intercept form.)
I’m pretty sure it’s y = 0x+4
Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation c -3/7x+3=y; A(...; 6), B(9; ...)
To find the missing coordinates of the points A and B [1], you can use the equation c -3/7x + 3 = y. Plugging in the given x-coordinates for A and B, you can solve for their y-coordinates.
A: x = -2, y = -3 B: x = 9, y = 6
To find the slope of the line, you can use the formula m = (y2 - y1)/(x2 - x1). Plugging in the coordinates for A and B, you can calculate the slope as m = (6 - (-3))/(9 - (-2)) = 9/11.
To further explore the topic, you can look into how to graph equations in slope-intercept form, as well as how to find equations of parallel and perpendicular lines. You can also learn how to use the equation of a line to calculate distances between points, and how to calculate the midpoint of a line segment.
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what is the domain and range
isaiah and juanita are picking apples to make an apple pie. isaiah picks 3 apples a minutes and janita picks 5 apples every two minutes, If they need 40 apples for a pie, how long will it take both of them to pick enough apples? round your answer to the nearest minute
The time it will take both of them to pick enough apples is 7.27 minutes.
What is the time taken for them to pick the apples?
The time it will take both of them to pick enough apples is calculated as follows;
Let the time = t ( minutes )
3t + (5/2)t = 40
3t + ( 5t / 2 ) = 40
multiply through by 2
6t + 5t = 80
11t = 80
divide through by 11
t = 80 / 11
t = 7.27 minutes
Thus, the time to pick enough apples depends on the rate at which they are picking the apples.
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A t-shirt printer can produce 40 tank tops with logos in 5 hours. At this rate, how many tank tops with logos can they printer produce in 7 hours?
Answer: It should be 56
Step-by-step explanation:
first we know for 40 tank-tops with logos can be finished in 5 hours, but we need to know how many shirts can be printed in 7 hours.
First we have x as 40 and y as 5. How many times can 5 go into 40?.. 8 times. So now we have 8. 8 x 7=56
X=56
Y=8
I hope this helps! Just to make sure it may not be correct, very sorry if it didn't work! Have a nice day/night!
-GreenteaStudys
the length of a rectangle is 4 times the width. if the length is decreased by 5cm and the width is increased by 2cm, the perimeter will be 74. Find the dimensions of the original rectangle.
Answer:
w=6, L=24
Step-by-step explanation:
let the width be x,
then, L=4x
Perimeter=2(l+w)
=2(4x+x)
the new dimensions,
perimeter=2(l+w)
74 =2(4x+5+x+2)
=2(5x+7)
=10x+14
10x=74-14
10x=60
x=60/10
x=6
Therefore, The width is 6 cm
L=4x
=4(6)
=24
Therefore the length is 24 cm
What is the product for 20x4=
Answer:80
Step-by-step explanation:
Twenty, four times is 80, turn the problem into different segments like 20+20+20+20=80
Two families attend a performance of the Circus Mage. The cost of a ticket for adult is
1.5 times higher than that of a child ticket. Clothilde buys a ticket for her, for her
husband and for her 2 children. She pays $90 in all, taxes included. Her friend Naomie
buys tickets for her 4 children and herself. Clothilde thinks that going to the circus
costs her less than Naomie. Is she right?
Clothilde thinks that going to the circus costs her less than Naomie and she is right
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
Let the cost of 1 child be "c"
Let the cost of 1 adult be "a"
Given a=1.5c
Clothilde buys a ticket for her, for her
husband and for her 2 children.
=> She buys for 2 adults and 2 children
price = 2a+2c
Substitute a=1.5c
price = 2(1.5c )+2c
= 3c+2c
= 5c
Naomie
buys tickets for her 4 children and herself.
=> She buys for 1 adult and 4 children
price = a+4c
Substitute a=1.5c
price = 1.5c +4c
= 5.5c
5c < 5.5c
So, Clothilde thinks that going to the circus costs her less than Naomie and she is right
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Help me please I really need this
Answer:
x = 56°
Step-by-step explanation:
x and 124° are a linear pair and sum to 180° , that is
x + 124° = 180° ( subtract 124° from both sides )
x = 56°
Answer:
56°
Step-by-step explanation:
angle on a straight line = 180°
124° + x =180°
x = 180° - 124
x = 56°
(2a^2 - 5a + 10) - (a^2 - 9)
How do you answer this?
Answer:
a^2 -5a + 19
Step-by-step explanation:
(2a^2 - 5a + 10) - (a^2 - 9)
= (2a^2 - 5a + 10) - a^2 + 9 [Distribution]
= a^2 -5a + 19
Part A
BOXES The diagram shows the dimensions of a box used by a manufacturing company to
ship products.
s+2
s+3
What is the volume of the box? Write the expression in standard form.
the difference of their volumes of the boxes is 2lh+2bh+2lb+4b+4l+4h+8.
What is cube?
The term "cube" refers to a solid three-dimensional shape in mathematics or geometry that has six square faces, eight vertices, and twelve edges. It is also asserted to be a conventional hexahedron. You must be familiar with the three-by-three Rubik's cube, which is the most prevalent example in daily life and can help to increase brain capacity. Similar to this, you'll run into a lot of real-world examples, like 6 sided dice, etc. Solid geometry is the study of three-dimensional objects with surface areas and volumes. Cube, cylinder, cone, and sphere are some of the other solid shapes. Here, we'll talk about its definition, attributes, and relevance to mathematics.
Let the 1st box have length l, width b and height h.
So the 2nd box will have l+2, b+2 and h+2.
volume of 1st box is l*b*h.
volume of 2nd box is (l+2)*(b+2)*(h+2)= (lb+2l+2b+4)(h+2)
=lbh+2lh + 2bh+4h+2lb+4l+4b+8
The difference of their volumes = 2lh+2bh+2lb+4b+4l+4h+8
Hence the difference of their volumes of the boxes is 2lh+2bh+2lb+4b+4l+4h+8.
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Cosec 2A + cot 4A = cot A - cosec 4A
The given trigonometric function Cosec 2A + cot 4A = cot A - cosec 4A can be proved using the properties of the trigonometric functions.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given that,
Cosec 2A + cot 4A = cot A - cosec 4A
Taking the LHS
= Cosec 2A + cot 4A
= 1 / sin 2A + cos 4A / sin 4A
To take the LCM we multiply and divide the first term by 2cos 2A:
= 2cos 2A / 2 sin 2A cos 2A + cos 4A/ sin4A
= 2cos 2A / sin 4A + cos 4A/ sin4A
= 2 cos 2A + 2 cos² A -1 / Sin 4A
= 2 cos 2A (1 + cos 2A) - 1 / sin 4A - 1/ sin 4A
= 2cos 2A 2cos² A / 2 sin 2A cos 2A - cosec 4A
= cos A / sin A - cosec 4A
= cot A - cosec 4A
Hence proved.
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