Final answer:
The area of a kitchen measuring 3.75 meters by 4.2 meters is calculated by multiplying these dimensions, resulting in an area of 15.75 square meters.
Explanation:
The question asks for the area of a kitchen with dimensions 3.75 meters by 4.2 meters. To find the area of a rectangle, you multiply its length by its width. Therefore, the calculation for the area of the kitchen is as follows:
Area = Length × Width= 3.75 m × 4.2 m
= 15.75 square meters
Thus, the area of the kitchen is 15.75 square meters. This calculation is a basic application of geometry, specifically dealing with areas of rectangles.
Estimate the quotient of 239.63 ÷ 7.51
Convert 1 3/4 feet into inches
It is 21 inches because it is
How can I find the Slope intercept
Khafre was a son of Khufu. He also had a pyramid built, but it was not as big as his father’s. The volume of the Pyramid of Khafre is about 2,115,072 cubic meters, and its height is about 136 meters. Approximate the length of each side of the base.
Could you work it out also!
Arlene Frank is saving money for her college
PLEASE HELP WITH 4,5,6
Find the value of x in the solution to the system of equations shown.
A. x = 2.33
B. x = 3
C. x = 4.2
D. x = 5.4
The value of x in the solution to the system of equations will be 3. Then the correct option is B.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The system of linear equations is given below.
y = 14x - 6 ...1
y = -4x + 48 ...2
From equations 1 and 2, then the value of the variable 'x' will be given as,
14x - 6 = -4x + 48
14x + 4x = 48 + 6
18x = 54
x = 3
The value of x in the solution to the system of equations will be 3. Then the correct option is B.
More about the solution of the equation link is given below.
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Triangle ABC, with coordinates A(2, 3), B(3, 5), C(7, 4), is dilated by a scale factor of 2. What are the coordinates of the dilated figure, triangle A′B′C′? A′(4, 6), B′(6, 10), C′(7, 4) A′(2, 3), B′(3, 5), C′(7, 4) A′(4, 6), B′(6, 10), C′(14, 8) A′(4, 6), B′(3, 5), C′(14, 8)
The Answer is C for plato
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimensions of the sculpture:
Here, a is the side length of the pyramid’s square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x3 +
x2 +
= 0 can be used to find that the length of the sculpture’s base is
centimeters.
The student needs to apply the formula for the volume of a pyramid, V = 1/3 * a² * h. Since the height is 3 cm less than the side length, this introduces a variable in the equation, (x - 3), to solve for x.
Explanation:The question relates to pyramid volume and the formulation of mathematical equations. First, it requires understanding that the volume of a pyramid is derived using the formula V = 1/3 * a² * h, where V is the volume, a is the length of the side of the square base, and h is the height of the pyramid. Since the height is stated as 3 cm less than the base (x), we can interpret this in the formula as h = x - 3.
Replacing these values in the volume formula gives us V = 1/3 * x² * (x-3). As the volume given is 162 cubic centimeters, this forms the equation: 162 = 1/3 * x² * (x-3). Simplifying this equation would provide the base length x in cm.
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Use equal intervals to make a frequency table for the average number of movies per person. You do not need to show tally marks.
Country Average Number of Movies
Turkey 0.5
Japan 1.2
UK 1.3
Finland 1.3
Austria 1.5
Germany 1.8
Spain 2.2
Sweden 2.2
Denmark 2.2
Switzerland 2.5
France 2.5
Norway 3.0
Canada 3.0
US 4.5
0-0.7 | 1
0.8-1.5 | 4
1.6-2.3 | 4
2.4-3.1 | 4
3.2-3.9 | 0
4-4.7 | 1
A passenger train and a freight train leave San Jose at 3 p.m., traveling in the same direction. The passenger train is going three times as fast as the freight train. At 6 p.m. they are 240 miles apart. How fast is each travelling?
PLEASE HELP!!!
Answer:
passenger was 120 and freight was 40
Step-by-step explanation:
What is the median of the data set represented by the dot plot?
Enter the answer in the box.
Answer:
The median is 14.
Step-by-step explanation:
You count 4 dots on both side and in the middle is 14 so 14 is the median.
Answer: 14
Step-by-step explanation: count 4 dots on both side and in the middle is 14
how to graph a function p(t)=t^4+12t^2-9t^2+108t^2
Anna completed 40% of her homework . Her homework has 30 question how many problems does she still need to complete
The points (j, - 8) and (1, - 2) fall on a line with a slope of - 6. What is the value of j?
Where does A and B go HURRY ASAP
Draw 6 circle make 3 groups shade 1 group
Find the sum. 13(9−6m)+14(12m−8)
Final answer:
To solve the expression 13(9−6m)+14(12m−8), distribute the numbers and combine like terms to get the sum, which is 90m + 5.
Explanation:
To find the sum of the expression 13(9−6m)+14(12m−8), we need to distribute the numbers outside the parentheses across the terms inside the parentheses and then combine like terms.
Distribute the numbers:
13 × 9 = 117
13 × (−6m) = −78m
14 × 12m = 168m
14 × (−8) = −112
Now we combine like terms:
117 (−78m) + (168m − 112)
Simplifying this we get:
−78m + 168m = 90m
−112 + 117 = 5
So the sum is 90m + 5.
A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and width 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%
Answer
46% is the answer. :)
Katie Fulton, a food supplements Representative, had sales of 5859 with allowances of $422. If her commission rate is 5%, find her gross earnings.
Katie Fulton's gross earnings would be $271.85 as calculated deducting allowances from total sales and then applying the 5% commission rate.
Explanation:In this problem, Katie Fulton, the food supplements Representative, had total sales of 5859 dollars and the allowance has to be deducted from the total sales making the correct value for calculation 5437 dollars ($5859 - $422 = $5437).
Given that she earns a commission of 5%, we can calculate her gross earnings by multiplying her sales after allowance with this commission rate:
Gross Earnings = Commission rate * Sales after allowance = 0.05 * 5437 = $271.85.
So, Katie Fulton's gross earnings would be $271.85.
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nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain
The circumference of circle is given by :
[tex] C =2\pi r [/tex]
where r is radius of circle and pi =3.14
Radius = half of diameter
Radius = (1/2) *4.9 = 2.45 in.
Now let us plug the value of radius in the formula for circumference.
[tex] C =2(3.14)(2.45) [/tex]
C = 15.386 inches
But circumference found by Nadiyah is 20 inches.
So the circumference found by Nadiyah is incorrect as correct one is 15.386 inches.
find the zeros x^2+5x-24
What algebraic expressions are equivalent to “seven subtracted from a number”?
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six pack of juice cans
To find the total volume of a six-pack of juice cans, calculate the volume of one can using the cylinder volume formula, [tex]V = \pi r^2h[/tex], and multiply by six. One can's volume, with a diameter of 6.6 cm and a height of 12.1 cm, is approximately 414.18 [tex]cm^3[/tex]. Multiplying by six gives a total volume of approximately 2485.08 [tex]cm^3[/tex] for the six-pack.
To calculate the total volume of a six-pack of juice cans, we first need to find the volume of a single can and then multiply that by six, since a six-pack contains six identical cans.
First, let's find the volume of one can using the formula for the volume of a cylinder [tex]V = \pi r^2h[/tex], where r is the radius and h is the height.
Given the diameter of a juice can is 6.6 centimeters, the radius r is half of that, which is 3.3 centimeters. The height h is 12.1 centimeters. Therefore, the volume of one can is:
[tex]V = \pi (3.3 cm)^2(12.1 cm) = \pi (10.89 cm^2)(12.1 cm) = \pi (131.769 cm^3) = 414.18 cm^3[/tex]
Now, to find the total volume for a six-pack, we multiply the volume of one can by six:
Total volume = 6 × 414.18 [tex]cm^3[/tex] ≈ 2485.08 [tex]cm^3[/tex]
Thus, the total volume of a six-pack of juice cans is approximately 2485.08 cubic centimeters.
1. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.30 m?
2. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 0.10 m?
3. What is the frequency of a wave that has a wave speed of 20 m/s and a wavelength of 0.50 m?
4. What is the frequency of a wave that has a wave speed of 80 m/s and a wavelength of 0.20 m?
5. What is the frequency of a wave that has a wave speed of 120 m/s and a wavelength of 0.40 m?
6. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 440 Hz?
7. What is the wavelength of a sound wave that has a speed of 340 m/s and a frequency of 880 Hz?
8. What is the wavelength of a sound wave that has a speed of 250 m/s and a frequency of 400 Hz?
9. What is the wave speed of a wave that has a frequency of 50 Hz and a wavelength of 2.0 m?
10. What is the wave speed of a wave that has a frequency of 100 Hz and a wavelength of 0.50 m?
please answer fast
Answer:
For 1: The wave speed of the wave is 30 m/s
For 2: The wave speed of the wave is 5 m/s
For 3: The frequency of the wave is 40 Hz
For 4: The frequency of the wave is 400 Hz
For 5: The frequency of the wave is 300 Hz
For 6: The wavelength of the wave is 0.773 m
For 7: The wavelength of the wave is 0.386 m
For 8: The wavelength of the wave is 0.625 m
For 9: The wave speed of the wave is 100 m/s
For 10: The wave speed of the wave is 50 m/s
Step-by-step explanation:
Wave speed is defined as the product of its wavelength and frequency.
Mathematically,
[tex]\text{Wave speed}=\lambda\times \nu[/tex]
where,
[tex]\lambda [/tex] = wavelength of the wave
[tex]\nu [/tex] = frequency of the wave
For 1:We are given:
[tex]\lambda =0.30m\\\\\nu=100Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.30\times 100=30m/s[/tex]
Hence, the wave speed of the wave is 30 m/s
For 2:We are given:
[tex]\lambda =0.10m\\\\\nu=50Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.10\times 50=5m/s[/tex]
Hence, the wave speed of the wave is 5 m/s
For 3:We are given:
[tex]\lambda =0.50m\\\\\text{Wave speed}=20m/s[/tex]
Putting values in above equation, we get:
[tex]20/s=0.50m\times \nu\\\\\nu=\frac{20}{0.50}=40s^{-1}[/tex]
Hence, the frequency of the wave is 40 Hz
For 4:We are given:
[tex]\lambda =0.20m\\\\\text{Wave speed}=80m/s[/tex]
Putting values in above equation, we get:
[tex]80/s=0.20m\times \nu\\\\\nu=\frac{80}{0.20}=400s^{-1}[/tex]
Hence, the frequency of the wave is 400 Hz
For 5:We are given:
[tex]\lambda =0.40m\\\\\text{Wave speed}=120m/s[/tex]
Putting values in above equation, we get:
[tex]80/s=0.20m\times \nu\\\\\nu=\frac{120}{0.40}=300s^{-1}[/tex]
Hence, the frequency of the wave is 300 Hz
For 6:We are given:
[tex]\nu =440Hz\\\\\text{Wave speed}=340m/s[/tex]
Putting values in above equation, we get:
[tex]340/s=\lambda\times 440\\\\\lambda=\frac{340}{440}=0.773m[/tex]
Hence, the wavelength of the wave is 0.773 m
For 7:We are given:
[tex]\nu =880Hz\\\\\text{Wave speed}=340m/s[/tex]
Putting values in above equation, we get:
[tex]340/s=\lambda\times 880\\\\\lambda=\frac{340}{880}=0.386m[/tex]
Hence, the wavelength of the wave is 0.386 m
For 8:We are given:
[tex]\nu =400Hz\\\\\text{Wave speed}=250m/s[/tex]
Putting values in above equation, we get:
[tex]250/s=\lambda\times 400\\\\\lambda=\frac{250}{400}=0.625m[/tex]
Hence, the wavelength of the wave is 0.625 m
For 9:We are given:
[tex]\lambda =2.0m\\\\\nu=50Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=2.0\times 50=100m/s[/tex]
Hence, the wave speed of the wave is 100 m/s
For 10:We are given:
[tex]\lambda =0.50m\\\\\nu=100Hz[/tex]
Putting values in above equation, we get:
[tex]\text{Wave speed}=0.50\times 100=50m/s[/tex]
Hence, the wave speed of the wave is 50 m/s
If five people share three cartons of Chow mein, what is each person sharing
Which is C= 100w/l solved for w?
A.)W=100CL
B.)W= LC/100
C.)W= 100C/L
D.)W= 100/LC
Final answer:
To solve for 'w' in the equation C = 100w/l, multiply both sides by 'l' and then divide by 100, resulting in 'w = Cl/100', which is option B.
Explanation:
To solve the equation C = 100w/l for w, we need to isolate w on one side of the equation:
Multiply both sides by l to get Cl = 100w.
Divide both sides by 100 to isolate w, which gives us w = Cl/100.
Therefore, the equation solved for w is w = Cl/100, which corresponds to option B.) W = LC/100.
An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.
Overnight 2-Day Standard Total
Group 1 27 20 53 100
Group 2 32 17 51 100
Group 3 34 19 47 100
The online store has 2755 customers one day.
Based on the samples, what is a reasonable estimate of the number of people who will use overnight delivery?
Enter your answer rounded to the nearest whole number in the box.
The answer is 854 for sure. I did the test and got it all right.
Answer:
854 customers.
Step-by-step explanation:
An online store randomly samples three groups of 100 customers on which delivery method they use. The data shows the results of the three samples.
Overnight 2-day Standard Total
Group (1) 27 20 53 100
Group (2) 32 17 51 100
Group (3) 34 19 47 100
Total customers 93 56 151 300
We have to calculate the number of people who will use overnight delivery.
Out of 300 customer there are 93 people who would use overnight delivery, so the percentage = [tex]\frac{93}{300}[/tex] × 100 = 31%
The online store has 2755 customers one day.
Therefore, 31% of the 2755 customers = [tex]\frac{31}{2755}[/tex] × 100 = 854.05 ≈ 854 customers.
854 customers would use overnight delivery.
You have 4/6 cup of cornmeal in your cupboard. A recipe for 2/5 muffins calls for cup of cornmeal. How much cornmeal would you have left if you made the muffins?
John has 8/9 of a gallon of apple cider vinegar. If it takes 1/7 of a gallon of vinegar to make a batch of collard greens, how many batches can john make?
John can make 6 whole batches of collard greens with 8/9 of a gallon of apple cider vinegar, accounting for each batch requiring 1/7 of a gallon of vinegar.
The question asks how many batches of collard greens John can make with 8/9 of a gallon of apple cider vinegar, considering that each batch takes 1/7 of a gallon.
To find the answer, divide the total amount of vinegar John has by the amount of vinegar required for one batch:
Total amount of vinegar John has: 8/9 gallon
Amount of vinegar required for one batch: 1/7 gallon
Now, we use division to find out how many batches can be made:
(8/9), (1/7)
Multiply the first fraction by the reciprocal of the second fraction: (8/9) * (7/1)
Simplify the multiplication: (8 * 7) / (9 * 1)
Calculate the result: 56/9
Finally, we determine how many whole batches John can make, since partial batches are generally not considered. As 56/9 is equal to 6 with a remainder, John can make 6 whole batches of collard greens.