For the given width length ratio and perimeter of rectangle, the length of rectangle is 80 cm.
The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.
Let the width of the rectangle be 3x, and the length be 4x (since the ratio of the width to the length is 3:4).
The perimeter of a rectangle is the sum of the lengths of all four sides, so we have:
Perimeter = 2(length + width)
Substituting the expressions for the length and width, we get:
280cm = 2(4x + 3x)
Simplifying the right-hand side, we get:
280cm = 14x
Dividing both sides by 14, we get:
x = 20
Therefore, the length of the rectangle is 4x = 4(20) = 80 cm
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A man brought some glasses at 12 each and 5 broke so he sold remaining at 16 each and made profit of rupees 160. Find number of glasses he bought
Answer:160
Step-by-step explanation:
A man brought some glasses at 12 each and 5 broke so he sold remaining at 16 each and made profit of rupees 160. Find number of glasses he bought
Choose the correct simplification of m to the seventh power times n to the fourth power all over m to the fourth power times n to the third power. a. m11n7 b. m11n c. m3n d. m to third power all over n to the seventh power
The expression [tex]m^{7} * n^{4}[/tex] divided by [tex]m^{4} * n^{3}[/tex] simplifies to [tex]m^{3} * n[/tex], meaning m raised to the power of 3 times n. This is found by subtracting the exponents in the denominator from the exponents in the numerator.
To simplify the expression [tex]\frac{m^{7} * n^{4}}{m^{4} * n^{3}}[/tex] , we need to divide the exponents of m and n. To do this, we subtract the exponents of m and n in the denominator from the exponents of m and n in the numerator.
Starting with m, we have:
[tex]\frac{m^{7}}{m^{4}}[/tex] = [tex]m^{(7-4)}[/tex] = [tex]m^{3}[/tex]
This means that we divided the exponent of m in the numerator (7) by the exponent of m in the denominator (4), and the result is m raised to the power of 3.
Next, we do the same thing with n:
[tex]\frac{n^{4} }{n^{3} }[/tex] = [tex]n^{(4-3)}[/tex] = [tex]n^{1}[/tex] = n
This means that we divided the exponent of n in the numerator (4) by the exponent of n in the denominator (3), and the result is n raised to the power of 1, which is just n.
Finally, we can combine the results:
[tex]m^{3}*n[/tex] = [tex]m^{3}*n[/tex]
So, the simplified form of the expression [tex]\frac {m^{7 }* n^{4}} { m^{4} * n^{3}}[/tex] is [tex]m^{3}*n[/tex].
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Answer:
m^3n
Step-by-step explanation:
m3n
You want to carpet your 12 ft. by 16 ft room. If the carpet you have chosen cost $10 per square foot, how much will it cost to carpet your room?
At a price of $10 per square foot, it will cost $1920 to carpet the 12 by 16-foot space.
What are the parameter for determining square foot?The rectangle's area in square meters The area's width and length should be measured in feet. To calculate area, multiply your length by your width. Use our length converter to convert your measures if they aren't already in feet.
Area is length times breadth, or 12 feet by 16 feet, or 192 square feet. The cost of the carpet is $10 per square foot. By dividing the square footage of the room by the price per square foot, we can get the overall cost to carpet it.
Total cost is equal to Area. Cost per square foot is $1920 or 192 square feet (around 18 m2) times $10 per square foot.
Therefore, at a price of $10 per square foot, it will cost $1920 to carpet the 12 by 16-foot space.
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43. given a standard deck of 52 playing cards, where half (clubs and spades) are black and half (hearts and diamonds) are red, what is the probability of picking three black cards in a row if the cards are not replaced?
The probability of picking three black cards in a row, without replacement, from a standard deck of 52 playing cards is 2/17, or approximately 0.1176 (rounded to four decimal places).
The probability of picking a black card on the first draw = 26/52 = 1/2
(since there are 26 black cards in the deck)
The probability of picking a black card on the second draw, given that a one was picked on the first draw and the card is not replaced = 25/51,
(since there are now only 25 black cards left out)
The probability of picking a black card on the third draw, given that the ones picked on the first two draws are not replaced = 24/50 = 12/25,
(since there are now only 24 black cards left out)
To pick three black cards in a row, we need to multiply the probabilities of each individual draw = (1/2) * (25/51) * (12/25) = 6/51
Simplifying this fraction, we get = 6/51 = 2/17
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In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of​ center?
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.
The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.
For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.
To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.
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Find the sum. Give your answer as a
simplified mixed number
Answer:
22/7 or 3 1/14
Step-by-step explanation:
the most common denominator is 28 for both so the denominator is 28
then added them and simplified them in mixed and normal form because I forgot which was which. Hopefully this is correct, if not I am sorry.
Susan bought 2/5 as many boxes of butter cookies as chocolate cookies. She spent $156 altogether. Each box of butter cookies cost $2 less than each box of chocolate cookies. The total cost of the chocolate cookies was $84 more than the total cost of the butter cookies. How many boxes of cookies did Susan buy?
Susan bought 6 boxes of chocolate cookies, and 2/5(6) = 2.4 or 2 boxes of butter cookies.
How to find number of boxes of cookies did Susan buy?Let's call the number of boxes of chocolate cookies that Susan bought "C". Then, she bought 2/5 as many boxes of butter cookies, which is 2/5C.
Let's call the cost of each box of chocolate cookies "x". Then, the cost of each box of butter cookies is x-2, since each box of butter cookies costs $2 less.
We know that the total cost of the chocolate cookies was $84 more than the total cost of the butter cookies. This can be expressed as:
Cx = 2C/5(x-2) + 84
Simplifying this equation, we get:
3/5Cx = 84 + 2/5C(2)
Multiplying both sides by 5/3, we get:
Cx = 140 + 4C/3
We also know that the total cost of all the cookies was $156, which can be expressed as:
Cx(x) + (2/5C)(x-2) = 156
Substituting Cx from the previous equation, we get:
(140 + 4/3C)(C) + (2/5C)(C-2) = 156
Simplifying and solving for C, we get:
C = 6
So Susan bought 6 boxes of chocolate cookies, and 2/5(6) = 2.4 or 2 boxes of butter cookies.
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Can anyone help me with this?
I just don't get it much
That would be much appreciated Ty
Convert 2000 feet per minute to miles per hour. Round to the nearest tenth.
A. 17600 miles per hour
B. 22.7 miles per hour
C. 154.8 miles per hour
D. 1363.6 miles per hour
Answer:
Step-by-step explanation:
You are currently converting speed units from foot per minute to miles per hour 1 ft/min = 0.011363636 mph foot per minute ft
so 0.011363636 times 2000 equals 27.727272
so your answer is [B]
The area of a circular swimming pool is 154m2. Its radius will be:
Area of a circular swimming pool is 154m², So radius of the circular swimming pool is approximately 7.88 meters
The area of a circle is given by the formula:
A = πr²
where A is the area, r is the radius, and π is a mathematical constant approximately equal to 3.14.
We are given the area of the circular swimming pool as 154m². So we can set up the equation:
154 = πr²
Solving for r, we get:
r = √(154/π) ≈ 7.88 m
Hence,
The radius of the circular swimming pool is approximately 7.88 meters.
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Cayley says that the equation p=1. 5 and 2/3p =q both represent the same proportional relationship moriah says that cannot be true because the constant of proportionality are different with wich student do you agree with
Answer: I agree with Moriah. If two equations represent the same proportional relationship, then they should have the same constant of proportionality. In this case, the constant of proportionality in p = 1.5 and 2/3p = q is different, so the two equations cannot represent the same proportional relationship.
It's possible that the two equations represent two different proportional relationships, but without more information it's impossible to determine if that is the case.
Step-by-step explanation:
Quadratic-reflection over x-axis, horizontal shift left 3, down 2
The transformed function is y = -f(x + 3) - 2, obtained by reflecting the quadratic function over the x-axis, shifting it left by 3 units, and down by 2 units.
To reflect a quadratic function over the x-axis, we need to multiply the function by -1. Let's assume that our original quadratic function is f(x).
After reflecting the function over the x-axis, we get the new function g(x) = -f(x).
To perform a horizontal shift left 3 units, we need to replace x with (x + 3) in the function g(x). This gives us the new function h(x) = g(x + 3) = -f(x + 3).
Finally, to shift the function down 2 units, we need to subtract 2 from the entire function h(x).
Note that the order of the transformations is important. We first reflect the function over the x-axis, then shift it horizontally, and finally shift it vertically.
Hence,
The transformed function is y = -f(x + 3) - 2, obtained by reflecting the quadratic function
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PLEASE ANSWER IMAGINE BELOW I NEED THE ANSWER IN 5 MINS PLEASEE
PROBLEM SOLVING
Question 8
Three sets of traffic lights (A, B and C) all turn red at 9 a.m. exactly. Light set A turns red every 2 minutes, light
set B turns red every 3 minutes and light set C turns red every 5 minutes. How long does it take for all three
lights to turn red again at the same time?
Mrs. Thapa wishes to grow flowers on the hanging bowls at her home. She brings 16 hemispherical bowls from the market having internal diameter 21 cm and uniform thickness 0.5 cm each and fills the bowls with compost completely. (i) If 1 cm³ of compost weighs 2.31 gm, find the total weight of required compost. (ii) If she covers outer curved surface of each bowl with polythene sheet, find the total amount of polythene
Answer:
(i) The volume of each hemispherical bowl can be calculated as follows:
Volume of a hemispherical bowl = (2/3) x pi x (d/2)^3, where d is the internal diameter of the bowl.
Substituting d = 21 cm, we get:
Volume of a hemispherical bowl = (2/3) x pi x (21/2)^3 = 4851.97 cubic centimeters
The total volume of compost required to fill all 16 bowls is therefore:
Total volume of compost = 16 x 4851.97 = 77631.52 cubic centimeters
If 1 cm³ of compost weighs 2.31 gm, then the total weight of required compost is:
Total weight of compost = 77631.52 x 2.31 = 179231.83 grams or 179.23 kilograms
Therefore, Mrs. Thapa would need 179.23 kilograms of compost to fill all 16 hemispherical bowls.
(ii) The outer curved surface area of each hemispherical bowl can be calculated as follows:
Outer curved surface area of a hemispherical bowl = 2 x pi x (d/2)^2, where d is the internal diameter of the bowl.
Substituting d = 21 cm, we get:
Outer curved surface area of a hemispherical bowl = 2 x pi x (21/2)^2 = 693.84 square centimeters
The total outer curved surface area of all 16 bowls is therefore:
Total outer curved surface area = 16 x 693.84 = 11101.44 square centimeters
If Mrs. Thapa covers the outer curved surface of each bowl with polythene sheet, then the total amount of polythene required would be equal to the total outer curved surface area of all 16 bowls.
Therefore, the total amount of polythene required would be 11101.44 square centimeters.
Step-by-step explanation:
Consider the original coordinates of the vertices of a parallelogram.
A (-2, 4)
B (4,4)
C (2,-2)
D(-4,-2)
According to the information, the area of the parallelogram plotted from the points would be: 36 cm²
How to find the area of the parallelogram?To find the area of the parallelogram we must divide the parallelogram into a quadrilateral section and another triangular section and find the area of these segments.
According to the above, we can infer that the area of the quadrilateral zone would be
a = b*ha = 4*6a = 24On the other hand, the area of the triangular section would be:
a = b*h/2a = 2 * 6 / 2a = 12 / 2a = 6Additionally, we must multiply the area of the triangular segment by two because there are two triangular sections in the parallelogram. Finally we have to add the area of the quadrilateral and triangle segments to get the total area.
6 * 2 = 1212 + 24 = 36Note: This question is incomplete. Here is the complete information:
TASK
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In physics lab, you measure three quantities: x, y, and z. Suppose that x=2.5 kg, y=0.8 m, and z=4.9 kg/m. Which of the mathematical combinations might be meaningful?(x/y) - z(x/z) - yx+y+z(xz) + yxyzx - (y/z)xy/z(x-y)/z
In physics lab, when you measure three quantities of x, y, and z, you can use these mathematical combinations to find meaningful relationships between these quantities:
(x/y) - z(x/z) - yx - (yz)In this case, x=2.5 kg, y=0.8 m, and z=4.9 kg/m.
Based on the given quantities' scale, we know that x, y, and z have a relationship where:
z = x/y
Then, the mathematical combinations that might be meaningful are:
- (x/y) - z: This combination gives you the difference between the ratio of x and y, and z. This could be meaningful if you are trying to find the difference between two quantities that have different units.
- (x/z) - y: This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.
- x - (yz): This combination gives you the difference between the ratio of x and z, and y. This could be meaningful if you are trying to find the difference between two quantities that have different units.
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1. Write a linear equation based off the word
problem.
On Your Own 3
Chili's is running a special where you can buy a basket
of fries for $5, and each refill basket of fries is only $1.
Write an equation that shows the total bill y for x
baskets of fries.
PAMAY
2
Submit
2. Click the calculator icon at the top to open the
graphing calculator. Graph the equation.
How many times did you get a refill of fries if your bill
was $9?
E
Submit
The equation of the total bill with x number of refills is y = 5 + x and the refills if the bill is $9 is 4.
What is an equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.
Let us consider the number of times we refill = x.
For every refill the cost will be = 1(x) = x.
Then, a basket of fries for $5, and each refill basket of fries is only $1 is:
y = 5 + x
The equation of the total bill with x number of refills is y = 5 + x.
The graph of the equation is obtained by substituting different values of x.
For x = 1:
y = 5 + 1 = 6
Similarly, x = 2:
y = 5 + 2 = 7
If the bill is $9 then,
y = 5 + x
9 = 5 + x
9 - 5 = x
x = 4
Hence, the equation of the total bill with x number of refills is y = 5 + x and the refills if the bill is $9 is 4.
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Write a letter to the editor of a newspaper, making the public aware of rising air and noise pollution in your area. (rdmcoyvtvs meat for fuñ)mention the bad air quality index that appears in the newspaper daily and write about the bad effects of air and noise pollution and suggest some measures to curb it.
Follow=Follow
like
don't forget to make brainalist and keep smiling
Answer: Dear Editor,
I am writing to bring to your attention the serious issue of rising air and noise pollution in our area. The daily air quality index that appears in the newspaper highlights the extent of the problem, and I believe it is important for the public to be aware of its effects.
Air pollution has been linked to a number of health problems, including respiratory issues, heart disease, and even cancer. The presence of harmful pollutants in the air we breathe is cause for concern and demands immediate attention. Similarly, noise pollution can lead to hearing loss, sleep disturbance, and increased stress levels.
It is imperative that we take action to curb the effects of air and noise pollution. There are several measures that can be taken, both by individuals and by the government. On an individual level, we can reduce our carbon footprint by using public transportation, carpooling, or biking instead of driving alone. We can also plant trees and install air purifiers in our homes.
The government, on the other hand, can take steps to regulate industrial emissions, enforce stricter penalties for violators, and promote the use of clean energy sources. Additionally, they can create green spaces and establish noise-free zones in residential areas.
In conclusion, the rise in air and noise pollution is a pressing issue that affects the health and well-being of everyone in our community. I urge the public to take this matter seriously and support efforts to reduce its impact. Together, we can work towards a cleaner and healthier future.
Sincerely,
[Your Name]
Step-by-step explanation:
approximately how many acres are there in a lot 1/2 mile by 1/2 mile?
There are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
To find the number of acres in a lot, you can use the following formula:
Number of acres = (length in feet) x (width in feet) / 43,560
First, convert the length and width from miles to feet. There are 5,280 feet in a mile, so:
Length in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Width in feet = 1/2 mile x 5,280 feet/mile = 2,640 feet
Next, plug these values into the formula:
Number of acres = (2,640 feet) x (2,640 feet) / 43,560 = 174,240,000 / 43,560 = 160 acres
Therefore, there are approximately 160 acres in a lot that is 1/2 mile by 1/2 mile.
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Expand and simplify
(3x + 4)(2x + 3)
Answer:
6x^2 + 17x + 12
Step-by-step explanation:
(3x + 4)(2x + 3) - Distribute
6x^2 + 9x + 8x + 12
6x^2 + 17x + 12
#5
CONNECTING CONCEPTS You use 94 inches of plastic to frame the perimeter of a kite. One side of the kite has a
length of 18 inches. Find the length of each of the three remaining sides in order from least to greatest.
Length: in.,in., in
The length of each of the three remaining sides, in order from least to greatest, is x = 8, y = 18 and z = 3.
What is Perimeter?
Perimeter is the total length of the boundary of a two-dimensional shape or figure. It is the distance around the outside of a closed shape, such as a rectangle, triangle, circle, or any other polygon. To find the perimeter of a shape, you add up the lengths of all its sides. Perimeter is usually measured in units of length, such as centimeters, meters, feet, or inches. Perimeter is an important concept in geometry, and it is used to calculate the amount of material needed to surround a shape or to measure the distance around a path or track.
Let's denote the lengths of the three remaining sides of the kite as x, y, and z, where x is the shortest side.
The perimeter of the kite is the sum of the lengths of all four sides:
P = x + y + z + 18
We also know that the total length of plastic used to frame the perimeter is 94 inches:
94 = 2x + 2y + 2z + 36
Simplifying the equations by dividing both sides of the second equation by 2, we get:
47 = x + y + z + 18
47 = x + y + z + 18
Substituting the first equation into the second equation, we get:
x + y + z + 18 = 2x + 2y + 2z + 36
Simplifying this equation, we get:
x = 8
Substituting x = 8 into the first equation, we get:
y + z + 26 = 47
Simplifying this equation, we get:
y + z = 21
We want to find the values of y and z. Since we don't have enough information to solve for each of them individually, we'll use a bit of logic to determine their relative values.
The only combination that satisfies these conditions is:
y = 18
z = 3
Therefore, the length of each of the three remaining sides, in order from least to greatest, is:
x = 8
y = 18
z = 3
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% of $52 = $39 ?
Complete the following statement. Write your answer as a decimal or whole number.
Answer:
75%
Step-by-step explanation:
If you have a calculator, you can divide 39/52. If not,
39/52 = x/100
52x = 3900
x = 75
75/100 = 75%
Actividades de Apertura
a) Dos ángulos rectos.
b) Dos ángulos agudos.
c) Dos ángulos suplementarios.
d) Dos ángulos complementarios
e) Dos rectas paralelas.
f) Dos rectas perpendiculares
g) Una recta transversal.
Las actividades de apertura son descripciones de diferentes relaciones geométricas. Aquí está la explicación de cada una:
a) Dos ángulos rectos tienen una medida de 90 grados.
b) Dos ángulos agudos tienen una medida menor a 90 grados.
c) Dos ángulos suplementarios suman a 90 grados.
d) Dos ángulos complementarios suman a 90 grados.
e) Dos rectas paralelas no se cruzan.
f) Dos rectas perpendiculares se cruzan en un ángulo recto de 90 grados.
g) Una recta transversal corta a dos o más rectas, creando ángulos en los puntos de intersección.
Qué es Dos ángulos rectos?Dos ángulos rectos son dos ángulos que tienen una medida de 90 grados. En geometría, un ángulo recto es un ángulo que tiene una medida de 90 grados y se representa con una línea diagonal que forma cuatro cuartos iguales.
Los ángulos rectos son importantes en la construcción y el diseño, ya que permiten la creación de formas simples y precisas. Por ejemplo, dos ángulos rectos pueden ser utilizados para formar un cuadrado o un rectángulo, mientras que un ángulo recto y un ángulo agudo pueden ser utilizados para formar un triángulo rectángulo.
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Regis leans a 10-foot ladder against a wall. The base of the ladder makes a 65 angle with the ground.
A: What is the distance, In feet, from the base of the ladder to the base of the wall? Round to the nearest tenth of a foot.
B: Regis needs to move the ladder so that it reaches a window 9.6 feet above the ground.
How many feet closer to the building does he need to move the base of the ladder?
The distance from the base of the ladder to the wall is 4.23 feet. And the inclination angle will be 73.74°.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The length of the ladder is 10 feet. And the inclination angle is 65°. Then the distance from the bottom of ladder to the wall is given as,
cos 65° = x / 10
x = 4.23 feet
If the ladder reaches a window 9.6 feet above the ground, then the angle is given as,
sin θ = 9.6 / 10
sin θ = sin 73.74°
θ = 73.74°
The distance from the base of the ladder to the wall is 4.23 feet. And the inclination angle will be 73.74°.
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Garcia and Jim were shooting free throws. Garcia made 4 out of 15 free throws. Jim missed 6 out of 16 free throws. Who made the free throw a greater fraction of the time
If Jim missed 6 out of 16 free throws, then he made 10/16 free throws. At the same time Gracia made 4/15 free rows. The common denominator of those fractions (if we simplify 10/16 to 5/8) is 120, so:
Garcia made 4/15 = 32/120 free throws
Jim made 5/8 = 75/120 free throws
We can clearly see that Jim was more than two times better than Garcia
A car traveled at an average speed of 100 KM per hour for 5 hours and consumed fuel at a rate
of 13 KM per liter. What is the approximate cost of 5-hour trip if the price of fuel is R78 per liter?
The approximate cost of 5-hour trip if the price of fuel is R78 per liter by finding the average speed is R3000.68.
To find the the total distance travelled by the car in 5 hours at an average speed of 100 km/h is:
Distance = Speed x Time
Distance = 100 km/h x 5 h
Distance = 500 km
The total amount of fuel consumed during the trip is:
Fuel consumed = Distance / Fuel efficiency
Fuel consumed = 500 km / 13 km/l
Fuel consumed = 38.46 liters (rounded to two decimal places)
The cost of the fuel consumed during the trip is:
Cost of fuel = Fuel consumed x Price per liter
Cost of fuel = 38.46 liters x R78/liter
Cost of fuel = R3000.68 (rounded to two decimal places)
Therefore, the approximate cost of the 5-hour trip is R3000.68, assuming that the only cost incurred is for the fuel consumed during the trip.
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A plumbing company charges $50 for a house visit plus $35 per hour for the labor. Write an equation in slope-intercept form that models the situation
Find the volume of a rectangular prism with the following dimensions: V = lwh Length:
4m Width
: 0.3 m Height
: 1.5 m
Answer:
1.8 m³
Step-by-step explanation:
You want the volume of the rectangular prism with dimensions L=4 m, W = 0.3m, H = 1.5 m.
VolumeThe volume formula is given in the problem statement:
V = LWH
Substituting the given values of L, W, H, we find the volume to be ...
V = (4 m)(0.3 m)(1.5 m)
V = 1.8 m³
The volume of the rectangular prism is 1.8 cubic meters.
2
The area of a rectangular window is 3726 cm².
If the length of the window is 69 cm, what is its width?
Width of the window: cm
