Answers
We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.
SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.
I hope this helps!
Related Questions
Which is C= 100w/l solved for w?
A.)W=100CL
B.)W= LC/100
C.)W= 100C/L
D.)W= 100/LC
Answers
w is on the right side multiplied by 100/L.
[tex] C = \dfrac{100}{L} \times w [/tex]
Now multiply both sides by the reciprocal of 100/L,
which is L/100, to isolate w.
[tex] C \times \dfrac{L}{100} = \dfrac{L}{100} \times \dfrac{100}{L} \times w [/tex]
[tex] \dfrac{CL}{100} = w [/tex]
[tex] w = \dfrac{CL}{100} [/tex]
[tex] w = \dfrac{LC}{100} [/tex]
Answer: choice B.
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.
List all subsets of the following set: {dog, cat, fish}
Answers
Then we have the set of items where we only pick two pets
{dog, cat}
{dog, fish}
{cat, fish}
the order for any given set does not matter
Then we have the set of just one pet only
{dog}
{cat}
{fish}
And finally, we have the empty set { } which is just curly braces with nothing inside.
In summary, we have these 8 subsets
{dog, cat, fish}
{dog, cat}, {dog, fish}, {cat, fish}
{dog}, {cat}, {fish}
{ }
Note how this is equal to 2^n = 2^3 = 8. The n = 3 indicates how many items are in the original set. The set of all possible subsets is known as the power set.
Dog , fish
Cat , fish
Dog, fish , cat
Fish, cat, dog
Cat, dog , fish
Fish , dog , cat
If five people share three cartons of Chow mein, what is each person sharing
Answers
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
Answers
y = 14x - 6
y = -4x + 48
14x - 6 = -4x + 48
add 6 to both sides
14x = -4x + 54
add 4x to both sides
18x = 54
divide both sides by 18
x = 3
The option is B.) x = 3
Hope this helps!
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.
https://brainly.com/question/545403
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Mrs. Bowen told Mr. Bowen that there is no way he is way he is spending that much money on golf clubs. instead she wants to buy a new flat screen television for the living room. Walmart has a 55 inch ultra slim HDTV flat screen that is normally $1099.99 but its on sale for 42% off. The sales tax on the TV will be 6.5%. How much will the final price of the TV be?
Can you please explain how to do it?
Answers
Sounds confusing, I know.
But let me try to explain.
First we need to subtract the discount from the total.
1099.99- 42%= 637.99
So, 637.99 is our new total, but wait!
We have to add the SALES TAX!! That’s kind of important. ; )
Okay so now let’s take our new total and then add the tax.
637.99+ 6.5%= 679.45
And... there we have it. $679.45 for that beautiful flat screen tv.
Looks like the Bowen’s are in for some big savings! Maybe they can buy those golf clubs after all...
Have a terrific day! I hope I have successfully helped you.
~Brooke❤️
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
Answers
2. 5 Hz
3. 40 m/s
4. 400 m/s
5. .48 m/s
6. .77 m/s
7. .39 m/s
8. .625 m/s
9. 100 Hz
10. 50 Hz
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
Find the sum. 13(9−6m)+14(12m−8)
Answers
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.
find the zeros x^2+5x-24
Answers
(x + 8)(x - 3) = 0
x + 8 = 0 or x - 3 = 0
x = -8 or x = 3
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.
Answers
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.
Learn more about Pyramid Volume here:https://brainly.com/question/17615619
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Beth created this design to cover a rip in her jacket. It took half an hour toplan the design and two and a quarter hours to cut and sew the frabric to the jacket. How much time did it take Beth to save her favorite jacket?
Answers
first you change 2 1/4 to an improper fraction.
4 x 2=8 +1=9 keep the denominator
9/4
and when adding to fractions you have to multiply.
(9 x 2) + (1 x 4)/4 x 2= 22/8
22 ÷ 2/22 ÷ 8= 11/4
or 2 3/4 hope it helped:D
Estimate the quotient of 239.63 ÷ 7.51
Answers
estimate
= 240 / 8
= 30
nadiyah found the circumference of a circle with a diameter of 4.9 in to be 20in. is her answer reasonable? explain
Answers
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.
Convert 1 3/4 feet into inches
Answers
It is 21 inches because it is
1.75 x 12 = 21 inches
answer
21 inches
Draw 6 circle make 3 groups shade 1 group
Answers
what next
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!
Answers
how to graph a function p(t)=t^4+12t^2-9t^2+108t^2
Answers
Please help and for number 2
The answers are
1.362.24mm
2.20.55mm
3.181.12mm
4.41.1mm
Answers
1/2 x 28.3 x 12.8 = 181.12
Answer is #3
What algebraic expressions are equivalent to “seven subtracted from a number”?
Answers
x-7
there is no like terms.
x-7 is answer.
Hopes it helped
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
Answers
When you create a frequency table, you have set intervals. In this case, our small number is close to 0 and our largest number is 4.5. We could create an interval for each number. Then, count the number of countries in each.
It would look like:
Interval Frequency
0-0.99 1
1-1.99 5
2-2.99 5
3-3.99 2
4-4.99 1
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
Anna completed 40% of her homework . Her homework has 30 question how many problems does she still need to complete
Answers
What is the median of the data set represented by the dot plot?
Enter the answer in the box.
Answers
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
PLEASE HELP WITH 4,5,6
Answers
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!!!
Answers
Then I tried 50 mph and 150 mph, and it was still too big(450-100).
When I did 40 mph it was 120 travel miles for the freight train, and 360 travel miles for the passenger train. This was the difference of 240 miles that was needed.
So the freight train traveled 40 mph and the passenger train traveled 120 mph.
Answer:
passenger was 120 and freight was 40
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
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.
Answers
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.
The points (j, - 8) and (1, - 2) fall on a line with a slope of - 6. What is the value of j?
Answers
j = 2
Explanation:
Slope of the line can be calculated using the following rule:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
We are given:
slope = -6
point (j,-8) representing (x1,y1)
point (1,-2) representing (x2,y2)
Substitute with the givens in the above equation and solve for j as follows:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]
-6 = [tex] \frac{-2-(-8)}{1-j} [/tex]
-6(1-j) = -2-(-8)
-6 + 6j = 6
6j = 6+6 = 12
j = 12/6
j = 2
Hope this helps :)
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?
Answers
:)
A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue. Lisa chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that the first marble is red and the second is blue? Write your answer as a fraction in simplest form.
Answers
Arlene Frank is saving money for her college
Answers
Katie Fulton, a food supplements Representative, had sales of 5859 with allowances of $422. If her commission rate is 5%, find her gross earnings.
Answers
Katie earned $271.85.
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.
Learn more about Gross Earnings Calculation here:https://brainly.com/question/33747840
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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)
Answers
When you dilate a shape by a scale factor of 2, you simply multiply the coordinates by 2.
Therefore, the points become:
A(2, 3) ===> A'(4, 6)
B(3, 5) ===> B'(6, 10)
C(7,4) ===> C'(14,8)
Good luck,
MrEQ
The Answer is C for plato