Answers
Related Questions
The average mass of a kernel of popcorn is 0.125 g. if 1 pound = 16 ounces, and 1 ounce = 28.3 g, then how many kernels of popcorn are there in 0.500 pounds of popcorn?
Answers
1 pound = 16 ounces, and 1 ounce = 28.3 g
how many kernels of popcorn are there in 0.500 pounds of popcorn = ?
0.500 pound = 16 x 0.500 ounces = 8 ounces
8 ounces = 8 x 28.3g = 226.4 g
Now divide this quantity by average mass;
226.4 / 0.125
= 811.2 kernels of popcorn
Final answer:
To find the number of kernels of popcorn in 0.500 pounds, first convert the weight to grams and then divide by the average mass of a kernel. The calculation gives an approximate result of 1811 kernels.
Explanation:
To determine the number of kernels of popcorn in 0.500 pounds, we need to convert the weight from pounds to grams and then divide by the average mass of a kernel.
First, let's convert pounds to ounces. Since 1 pound is equal to 16 ounces, we have:
0.500 pounds = 0.500 x 16 = 8 ounces.
Next, let's convert ounces to grams. Since 1 ounce is equal to 28.3 grams, we have:
8 ounces = 8 x 28.3 = 226.4 grams.
Finally, divide the total grams by the average mass of a kernel:
226.4 grams / 0.125 grams = 1811.2 kernels.
Therefore, there are approximately 1811 kernels of popcorn in 0.500 pounds.
4=3/4m-6
find the value of m
Answers
4 = 3/4m -6
add 6 to both sides
10 = 3/4m
divide both sides by 3/4
m = 10 / 3/4 = 10 *4 = 40 /3 = 13 1/3
Write an equation of the line in slope-intercept form of the line that passes through the point (-5, 1) and is parallel to the line x – 5y = 8. show your work.
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y=1/5x-8/5
y-1=-5(x+5)
y-1=-5x-25
y=-5x-24
Fencing costs $10.15/ft. A customer purchases 8 3/8 ft of fencing for his yard. How much did the customer pay for the fencing? Round to the nearest cent.
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If an open box has a square base and a volume of 115 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction. (round your answers to two decimal places.)
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x = side length of the base.
Volume of the box is [tex]V=x^{2} h = 115 [/tex].
So [tex]h = \frac{115}{ x^{2} } [/tex]
Surface area of a box is S = 2(Width • Length + Length • Height + Height • Width).
So surface area of the box is
[tex]S = 2( x^{2} + hx + hx) \\ = 2 x^{2} + 4hx \\ = 2 x^{2} + 4( \frac{115}{ x^{2} } )x[/tex]
[tex]= 2 x^{2} + \frac{460}{x} [/tex]
The surface are is supposed to be the minimum. So we'll need to find the first derivative of the surface area function and set it to zero.
[tex]S' = 4x- \frac{460}{ x^{2} } = 0[/tex]
[tex] 4x = \frac{460}{ x^{2} } \\ 4x^{3} = 460 \\ x^{3} = 115 \\ x = \sqrt[3]{115} = 4.86 [/tex]
Then [tex]h= \frac{115}{4.86^{2}} = 4.87 [/tex]
So the box is 4.86 in. wide and 4.87 in. high.
What is the product of 3x(x^2+4)
Answers
Answer:
[tex]3x^3+12x[/tex]
Step-by-step explanation:
[tex]3x(x^2+4) = 3x\cdot x^2 + 3x\cdot 4 = 3x^3+12x[/tex]
A regular 40-sided polygon is rotated with its center of rotation at its center. What is the smallest degree of rotation needed to map the polygon back on to itself?
Answers
(40 - 2) (180) /40 = 171 degrees
The interior angle is also the smallest angle that is needed to rotate the polygon and map it unto itself. So, the smallest degree of rotation needed to map the polygon back to itself is 171 degrees.
Answer:
9 degrees
Step-by-step explanation:
i dont know what the other guy is talking about, its 360/40=9
How much is 1200 pounds of corn plus 25% more?
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We can substitute the variables, so we only have to solve for one, per eqaution
[tex]x=4y[/tex]
Therefore...
[tex]3x-2y=20[/tex]
Is also equal to..
[tex]3(4y)-2y=20[/tex]
Solve for y.
Combine Like terms.
[tex]12y-2y=20[/tex]
[tex]10y=20[/tex]
Divide both sides by 10.
[tex](10y)/10=(20)/10[/tex]
Simplify.
[tex]y=2[/tex]
Now we can use the value of y to solve the other equation.
[tex]x=4y[/tex]
Is also equal to...
[tex]x=4(2)[/tex]
Solve for x.
Combine like terms.
[tex]x=8[/tex]
The answer would be 8,2
Hope this helps.
-Benjamin
What plane contains points D, G, and H?
a. The plane that passes at a slant through the figure.
b. The plane on the bottom of the figure.
c. The plane on the top of the figure.
d. The plane on the front of the figure.
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A rental car service charges $25 to rent a car, plus $2 per mile. If x represents the number of miles driven, then the expression for the total cost to rent the car is 2x + 25. Which table shows the total cost to rent a car?
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Compare the two ratios by entering >, < , or = in the box. 18 320
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plz mark brainliest.
Answer:
1/8 is greated than 3/20
Step-by-step explanation:i took test
WILL MARK BRAINLIEST ANSWER THIS QUESTION K
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For the second question, the two equations that represent the system of inequalities are y < 1- 3x and y ≥ 0.5x - 1
If the product of two numbers is positive then the two numbers must both be positive true or false
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Where is the x-intercept(s) in the graph of y = (x-1)(x+8)/(x+8)(x-6)?
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The x-intercepts are where the graph crosses the x-axis, in other words what x is when y = 0. This is only when the numerator is zero. After simplifying and factoring out the (x+8), y = 0 only when x = 1.
* When x = 6 the denominator is zero and the function is undefined. x = 6 would then be a vertical asymptote.
Answer:
B: 1
Step-by-step explanation:
Edge 2021
Lyle shot three times as many baskets as cliff, while kyle shot 12 more baskets than cliff. if lyle and kyle shot the same number of baskets, how many baskets did each of them shoot?
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Cliff shot 6 baskets, Lyle shot 18 baskets, and Kyle also shot 18 baskets.
Explanation:Let's represent the number of baskets Cliff shot as C.
Lyle shot three times as many baskets as Cliff, so Lyle shot 3C baskets.
Kyle shot 12 more baskets than Cliff, so Kyle shot C + 12 baskets.
Since Lyle and Kyle shot the same number of baskets, we can set their expressions equal to each other: 3C = C + 12.
Solving this equation, we find that C = 6.
Therefore, Cliff shot 6 baskets, Lyle shot 3C = 3(6) = 18 baskets, and Kyle shot C + 12 = 6 + 12 = 18 baskets.
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HELP
IMPORTANT 20 POINTS
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volume of tub = 20 *10*10 = 2000cm^3
2000*1/16 = 2000/16 = 125 cubic cm of ice scream left
volume of sphere = 4/3*3.14*3^2 = 37.68 / 2 = 18.84
volume of cone = 18.84
18.84 = 1/3 *3.14*r^2*h
18.84 = 9.42*h
h = 18.84 / 9.42 = 2.00 inches tall
Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.
Answers
Part A:
The truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:
From the scenario, the truth value of the individual statements are as follows:
Roman has a date with Malou is True
Jeff is sleeping is True
Hadji is eating is True
Thus, the truth value of "True" or "True" or "True" is True.
Therefore, the truth value of "Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.
Part B:
The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:
From the scenario, the truth value of the individual statements are as follows:
Jeff is sleeping is True
Hadji is not eating is False
Thus, the truth value of "True" or "False" is True.
Therefore, the truth value of "Either Jeff is sleeping or Hadji is not eating" is True.
Part C:
The truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is obtained as follows:
From the scenario, the truth value of the individual statements are as follows:
Roman and Malou are on a date is True
Jeff is sleeping is True
Hadji is not eating is False
The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.
Thus, the truth value of ("True" and "True") or "False" is True.
Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
Find the measure of angle e.
A. 70°
B. 130°
C. 100°
D. 110°
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The sum of the measures of the angles d and g is equal to 180°. Or in other words, they are supplementary.
Knowing this, we can use algebra to build an equation and solve for g.
70° + m∠g = 180°
m∠g = 110°
And finally, using the knowledge of vertical lines, ∠g is complementary to ∠e.
So, m∠e is equal to 110°.
Need help please
What is the result of dividing 2x^3−3x^2−17x+30 by x + 3?
2x^2+3x−8
2x^2−9x−44
2x^2+3x−26
2x^2−9x+10
What is the result of dividing x^3−7 by x + 2?
x^2−2x+4+15/x+2
x^2−2x+4+1/x+2
x^2−2x+4−1/x+2
x^2−2x+4−15/x+2
What is the remainder when the polynomial 6x^2+11x−3 is divided by 2x−1?
What is the remainder when the polynomial 5x^2+10x−15 is divided by x + 5?
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Answers:
1. 2x^2−9x+10
2. x^2−2x+4+15/x+2 (don't forget to put 0's in for the coefficients of [tex] x^{2} [/tex] as well as [tex]x[/tex])
3. The remainder is 4. (In the new equation this would be written as [tex] \frac{4}{2x-1} [/tex])
4.The remainder is 60.
I included my last page of work in case it helps, but it is not step-by-step so if you have questions, please ask!
The quotient and remainder for the provided polynomial divisions are as follows: 1) 2x^2−9x−44, 2) x^2−2x+4+1/x+2, 3) Remainder 1, 4) Remainder 0.
Explanation:The process of dividing polynomials is similar to the long division method used in arithmetic. For your first question, the result of dividing 2x^3−3x^2−17x+30 by x + 3 comes out to be 2x^2−9x−44.
For the second question, when x^3−7 is divided by x + 2, the result is x^2−2x+4+1/x+2.
Coming to your third question, when the polynomial 6x^2+11x−3 is divided by 2x−1, the remainder is 1.
Lastly, when the polynomial 5x^2+10x−15 is divided by x + 5, the remainder is 0.
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He _______ tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
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You randomly select 7 students from a class with 15 male and 20 female students. what is the probability that you will choose exactly 4 females?
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To find the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution.
Explanation:To determine the probability of selecting exactly 4 females out of 7 students, we need to use the hypergeometric distribution. In this scenario, we have a population of 35 students (15 males + 20 females) and we want to select a sample of 7 students. The group of interest is the females, which consist of 20 students. Since we are selecting without replacement, we need to use the hypergeometric distribution formula:
P(X = k) = (C(K, k) * C(N-K, n-k)) / C(N, n)
where:
N = total population sizen = sample sizeK = number of successes in the populationk = number of successes in the samplePlugging in the values, we get:
P(X = 4) = (C(20, 4) * C(15, 7-4)) / C(35, 7)
Calculating the combinations, we find that P(X = 4) = 0.416
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Simplify:
(3-4i)(1+5i)-(2-i)
Show all of your work please
Answers
(3-4i)*(1+5i)
So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.
Or,
3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i
Or,
3 + 15i + -4i - 20i
Then,
3 + -9i
3 - 9i - (2 - i)
Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.
3 - 9i - 2 + i
Or,
1 - 8i
A rectangle that has an area of 357 square inches is 17 inches wide. Using the formula for area (4072-01-01-03-00_files/i0260000.jpg), how long is the rectangle? a. 21 inches b. 340 inches c. 20 inches d. 15 inches
Answers
A = 357
W = 17
357 = 17L
357 / 17 = L
21 = L <== length is 21 inches
Answer:
The correct option is: a. 21 inches
Step-by-step explanation:
The area of the rectangle is 357 square inches and width is 17 inches.
Formula for the area of rectangle is: [tex]Area= Length\times Width[/tex]
Suppose, the length of the rectangle [tex]=x[/tex] inches.
So, the equation will be.....
[tex]357=x\times 17\\ \\ \frac{357}{17}=\frac{x\times 17}{17}\ [Dividing\ both\ sides\ by\ 17]\\ \\ 21=x[/tex]
So, the rectangle is 21 inches long.
What is the total displacement of a student who walks 3 blocks east, 2 blocks north, 1 block west and then 2 blocks south?
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The total displacement of the student is 2 block east.
We know that displacement refers to less distance that shows the difference between the starting & the final position.Based on this,
y = 2 -2 = 0
x = 3 - 1 = 2
So, we can conclude that the total displacement of the student is 2 block east.
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Which of the following lines goes downwards from left to right?
A. Y=2x+5 b. Y=2x-6
C. Y=2x d. Y=-2x+20
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y = 2x+5 has a positive slope because m = 2 is the slope (b = 5 is the y intercept)
So choice A is out
Similarly choice B is eliminated as well because the slope is also m = 2
Choice C is false as well. The slope here is m = 2 (think of y = 2x as y = 2x+0)
The only choice with a negative slope is choice D. The slope is m = -2
This is why the answer is choice D
Side Note: I'm using slope intercept form y = mx+b where m is the slope and b is the y intercept
Find the product of 20 x 9 x 5 tell which property you used
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You first multiply 20 x 9, which equals 180, then you multiply 180 x 5, which equals 900.
I used associative property and the product of 20 x 9 x 5 is 900.
What is associative property?"The associative property states that when an expression has three terms, they can be grouped in any way to solve that expression. The grouping of numbers will never change the result of their operation. The associative property is true for the cases of addition and multiplication. Neither the sum nor the product of the expression changes."
For the given product of 20 x 9 x 5
I am using the associative property.
(20 x 9) x 5 = 900
First multiply 20 x 9, which gives 180
(180) x 5 = 900
Next multiply 180 x 5, which gives 900.
Hence, I used associative property and the product of 20 x 9 x 5 is 900.
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One canned juice drink is 30 percent orange juice, another is 10 percent orange juice. how many liters of each should be mixed together in order to get 20l, that is 12 perfect orange juice
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0.30x+0.10(20-x)=20*0.12
0.3x+2-0.1x=2.4
0.2x=0.4
x=2
20-x=20-2=18
mix 2 litters of 30 percent juice and 18 litters of 10 percent juice.
Are the following equations parallel, perpendicular, the same line, or none of these -4x = -5y + 30
5y = -4x + 30
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Answer:
parallel
Step-by-step explanation:
A measurement is given as the length of an onion cell is 0.4mm to the nearest tenth of a millimeter. Find the minimum & maximum possible measurements
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Therefore, the minimum & maximum possible measurements are 0.35 and 0.449 respectively.