Read and imagine what is happening in this problem. Hannah mixed 6. 83 lb of pretzels with 3. 57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0. 35 lb left.
Answers
Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn to make 10.4 lb of mixture. She then filled up 6 bags with an average of 1.68 lb of mixture per bag, leaving her with 0.35 lb of mixture left over.
In this problem, Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. This means that she had a total of 10.4 lb of mixture. She then filled up 6 bags that were the same size with the mixture, which means that each bag had approximately 1.73 lb of mixture (10.4 lb / 6 bags).
After filling up all 6 bags, Hannah had 0.35 lb of the mixture left over. This means that she used a total of 10.05 lb of mixture for the bags (10.4 lb - 0.35 lb).
To find out how much mixture was used per bag, we can divide the total amount of mixture used (10.05 lb) by the number of bags (6). This gives us an average of approximately 1.68 lb per bag.
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Related Questions
Help!!
I think I got these wrong, so please help!! Thank you!
Answers
Answer:
(x+3)(x+4)(x-4)
x+2 and x-3 are not factors but x-4 is
Step-by-step explanation:
let's factor it :)
x^3 + 3x^2 - 16x -48
first we will factor this:
x^3 + 3x^2
x^2(x + 3)
then factor the second part :
- 16x - 48
-16(x + 3)
so now,
x^2(x + 3) - 16(x + 3)
factor out x+3
(x+3)(x^2 - 16)
factor x^2 - 16
(x+3)(x+4)(x-4)
what is 500x250x530x55 no calclater
Answers
Answer:
3643750000
Step-by-step explanation:
Antonio earns $5 an hour for raking leaves. He also has $35 in savings. Which
equation shows the amount of money, m, Antonio will have after raking leaves for a
number of hours, h?
Answers
Answer:
$35 + $5h = m
A 12-ounce box of fruit loops is on sale for $2.88, What is the unit cost (what is the price per ounce)
Answers
Answer:
$0.24
Step-by-step explanation:
the working out would look something like this:
ounces dollars
12 : 2.88
duvide both by 12 to find 1 ounce
1 : 0.24
the price per ounce would be $0.24
hopefully this helps :)
A bottle holds exactly 2/3 pint of liquid. How many 2/3-pint bottles can be filled from a 24-pint container
Answers
Answer:
36 number of 2/3-pint bottles can be filled from a 24-pint container
Step-by-step explanation:
Volume of the container is 24 pint
Volume of the bottle is 2/3 pint
Number of 2/3 pint bottles that can be filled from 24 pint container is
\(\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36\)
36 number of 2/3-pint bottles can be filled from a 24-pint container
what is the range and mode for 7,4,7,4,2,7,8,7
Answers
Answer:
Range: 6
Mode: 7
Step-by-step explanation:
The range is the largest number in the set subtracted by the smallest number in the set.
What is the largest number in the set?
8
What is the smallest number in the set?
2
8-2 = 6
The mode is the number that appears the most in the set of data.
Lets count how many times each number appears.
2: 1 time
4: 2 times
7: 4 times
8: 1 time
Because 7 appears most frequently, it is the mode.
How do we do this?
X Y
-2 -5
0. -1
2. 3
4. 7
Answers
Answer:
(-2, -5) (0, -1) (2, 3) (4, 7)
Step-by-step explanation:
When we have the X and Y coordinates, we graph the coordinates according to the order of the X across from the Y. When we do this, we start at (0, 0) and we move left or right on the coordinate plane. When we graph the coordinates (-2, -5), we start at (0, 0) and we move to the left 2. This is where we will find -2. Then we go down 5. There we will find -5. We then do the same for the rest of the coordinates.
In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]
Answers
We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:
Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.
Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.
Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).
Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.
Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).
Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.
Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.
Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.
Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.
Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
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Given: Quadrilateral \(\displaystyle\sf ABCD\)
To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)
Proof:
1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).
2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).
3. In triangle \(\displaystyle\sf ACD\):
- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).4. In triangle \(\displaystyle\sf BCE\):
- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):
- \(\displaystyle\sf \angle BCE = \angle BCD\).6. Combining the equations from steps 3 and 4:
- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Your Stats teacher tells you your test score was the 3rd quartile for the class. Which is true?
I. You got 75% on the test.
II. Youcan'treallytellwhatthismeanswithoutknowingthestandarddeviation.
III. You can't really tell what this means unless the class distribution is nearly Normal.
Answers
Please help >.<
Which right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?
A right triangular prism is shown. The triangle has side lengths of 6 meters and 3 meters. The height of the prism is 2 meters.
A rectangular prism is shown. The rectangle has side lengths of 18 meters and 2 meters. The height of the prism is 3 meters.
A triangular prism is shown. The triangle has a base length of meters and a height of 3 meters. The height of the prism is 4 meters.
Answers
B. 2 18 3
Step-by-step explanation:
on edg
a candle maker sells sets of candles in the shape of square pyramids. the volume of a smaller candle is 125 cubic centimeters. the larger candle has a side length that is five-fourths as long as the side length of the smaller candle. what is the approximate volume of the larger candle to the nearest cubic centimeter?
Answers
The approximate volume of the larger candle is 244 cubic centimeters.
To find the volume of the larger candle, we need to compare the side lengths of the smaller and larger candles. Let's denote the side length of the smaller candle as "s."
According to the information given, the side length of the larger candle is five-fourths (5/4) as long as the side length of the smaller candle. Therefore, the side length of the larger candle can be calculated as (5/4) * s.
The volume of a square pyramid is given by the formula V = (1/3) * s^2 * h, where s is the side length of the base and h is the height.
Since both the smaller and larger candles have the same shape, their volume ratios will be equal to the ratios of their side lengths cubed.
Let's substitute the values into the volume ratio equation:
(125 / V_larger) = (s_larger / s_smaller)^3
Given that V_smaller = 125 cubic centimeters, we can rewrite the equation as:
(125 / V_larger) = ((5/4) * s_smaller / s_smaller)^3
Simplifying the equation:
(125 / V_larger) = (5/4)^3
Calculating (5/4)^3:
(125 / V_larger) = (125 / 64)
Cross-multiplying the equation:
125 * 64 = V_larger * 125
Solving for V_larger:
V_larger = (125 * 64) / 125
Approximating the value:
V_larger ≈ 64 cubic centimeters
The approximate volume of the larger candle is 244 cubic centimeters, rounded to the nearest cubic centimeter
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10 ft
8 ft
8.9 ft
4 ft
Calculate the perimeter of this figure
to the nearest tenth.
P = [? ] ft
Answers
Rounded to the nearest tenth is 30ft
you roll three colored dice the random variable x we are interested in is the average of the numbers on the dice. what is the value of the random variable for this particular outcome of three colored dice?.
Answers
The value of the random variable for this particular outcome of three colored dice are 1, 1.33, 1.667, 2, 2.33, 2.6667.
Let's assume the three colored dice are fair, meaning that each face has an equal probability of appearing when rolled. The dice have six faces numbered from 1 to 6.
Since we are interested in the average of the numbers on the dice, we need to find the sum of the numbers and divide it by 3 (the number of dice).
Now, let's consider all possible outcomes of the three dice rolls and calculate the average for each outcome:
When the outcome is (1, 1, 1):
The sum of the numbers on the dice is 1 + 1 + 1 = 3.
Therefore, the average is 3/3 = 1.
When the outcome is (1, 1, 2):
The sum of the numbers on the dice is 1 + 1 + 2 = 4.
Therefore, the average is 4/3 ≈ 1.3333.
When the outcome is (1, 1, 3):
The sum of the numbers on the dice is 1 + 1 + 3 = 5.
Therefore, the average is 5/3 ≈ 1.6667.
When the outcome is (1, 1, 4):
The sum of the numbers on the dice is 1 + 1 + 4 = 6.
Therefore, the average is 6/3 = 2.
When the outcome is (1, 1, 5):
The sum of the numbers on the dice is 1 + 1 + 5 = 7.
Therefore, the average is 7/3 ≈ 2.3333.
When the outcome is (1, 1, 6):
The sum of the numbers on the dice is 1 + 1 + 6 = 8.
Therefore, the average is 8/3 ≈ 2.6667.
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Find the values of a,b such that the function f(x)= 4x+b/ax+7
has the line x=5 as a vertical asymptote and the line y=6 as a horizontal asymptote.
Answers
The values of a and b for the function f(x) = (4x+b)/(ax+7) to have x=5 as a vertical asymptote and y=6 as a horizontal asymptote are a=1/6 and b=24.
For the function to have x=5 as a vertical asymptote, the denominator ax+7 must approach 0 as x approaches 5. This means that a must be equal to 1/6 to make ax+7 equal to 0 when x=5.
For the function to have y=6 as a horizontal asymptote, the limit of f(x) as x approaches infinity should be equal to 6. Therefore, we can use the fact that f(x) approaches b/a as x approaches infinity.
If we set b/a = 6, we can solve for b to get b = 6a.
Substituting the value of a we found earlier, we get b = 4.
Therefore, the values of a and b that satisfy the conditions are a=1/6 and b=24.
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Javier is 66 inches tall today. His little brother is 58 inches tall. If his
brother grows at an average rate of 2 inches per year, how long will
it take him to grow as tall as Javier is today?
Answers
Answer:
It will take him 4 years to catch up to Javier
Step-by-step explanation:
58 + 2x = 66
2x = 8
x = 4
4 years
A group of 5 people planned to spend $12 each to rent power tools to build playground equipment for a day camp. At the last minute, 1 person
could not participate. If the others then paid equally for the tools, how much did each pay?
Answers
Answer:
The answer would be 48 since it would be 4 x 12
Answer:
$15
Step-by-step explanation:
If the 5 people where each paying $12 to rent the equipment, that means the cost of the equipment can be found multiplying 5 and 12 to get 60. Now that we know that the cost of the equipment is $60, if one person bailed out, there are now 4 people to rent it. You can find how much each person pays if they each pay the same amount by dividing 60 by 4. Once you do $60 ÷ 4 people = 15. So each person pays $15.
I hope this helps :)
What is the value of v? Help, please
Answers
Answer:
v = 87
Step-by-step explanation:
the angle v+39 lies on a straight line. so substract v+39 from 180 to get the interior angle for that side.
afterwards, knowing that the sum of interior angles of a triangle = 180, form an equation with all the angles and solve for v
which number appears most in the first 6 billion decimal places of pi?
a. 2
b. 1
c. 0
d. 5
Answers
The digit that appears the most in the first 6 billion decimal places of pi is C. 0.
Pi is a mathematical constant that is approximately equal to 3.14159. It is an irrational number, meaning that its decimal representation goes on infinitely without repeating. As a result, it is impossible to determine the exact value of pi, but its value can be approximated using various methods, including the use of computer algorithms. One such algorithm involves calculating pi to billions or trillions of decimal places. The resulting sequence of digits can then be analyzed to determine which digit appears the most frequently. In the case of the first 6 billion decimal places of pi, the digit 0 appears the most frequently.
According to one study, the frequency of each digit in the first 6 billion decimal places of pi is as follows: 0: 599,963,005 1: 600,033,072 2: 599,968,761 3: 600,098,056 4: 599,916,636 5: 599,993,197 6: 600,019,293 7: 600,007,804 8: 599,946,928 9: 599,956,248 As can be seen from these figures, the digit 0 appears more frequently than any other digit in the first 6 billion decimal places of pi. Therefore the correct option is C
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help i’ll mark brainliest
Answers
Answer:
12
..... ....... ......
Is this a function? plz help me i need help
Answers
Answer:
yes it is
Step-by-step explanation:
I. Direction: Write the following statement as equations. Write your answers
on a sheet of paper.
1. Four times a number minus twenty-nine is eleven.
2. The product of four less than thrice a number and two will result to forty-
six.
be
3. Three-fifths of a number plus eight is fifty.
II. Direction: Translate the following Algebraic expressions to word phrases.
Write your answers on a sheet of paper.
4.) 51 - (x+5)
5.) 3(y-8)
Answers
Answer:
1. 4x - 29=11
2. (3x - 4) (2) = 46
3. 3/5x + 8 = 50
4. The difference of 51 and the sum of x and 5.
5. The product of 3 and y minus eight.
Step-by-step explanation:
shelly sews a square blanket that has an area of 144 square feet. it has 36 square blocks, each the same size. what is the approximate length of each side of a block? (1 point)
Answers
The side of the square of each block = 2 feet
Given,
Shelly sews a square blanket that has an area of 144 square feet.
and, it has 36 square blocks, each the same size.
To find the approximate length of each side of a block
Now, According to the question:
36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks
= 144/ 36
= 4
The area of each square = 4 square feet
We know that
Area of square = side ^2
Side ^2 = 4
side = \(\sqrt{4}\)
Side = 2
Hence, The side of the square of each block = 2 feet
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Find the inverse function of
y =x-5/6
Answers
\(f(x) = y = x - \frac{5}{6} \\ \)
Subtract the sides of the equation plus 5/6
\(y + \frac{5}{6} = x \\ \)
So ;
\( {f}^{ - 1}(x) = x + \frac{5}{6} \\ \)
_________________________________
And we're done.
Thanks for watching buddy good luck.
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The center is O. The circumference is 28. 6 centimeters. Use 3. 14 as an approximation for pi
Answers
The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.
The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.
Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:
28.6 = πd
d = 28.6/π
Using 3.14 as an approximation for π, we get:
d ≈ 28.6/3.14 ≈ 9.11
Therefore, the diameter of the circle is approximately 9.11 cm.
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Can I get help please
Answers
The amount of money that I will have at the end of 20 years would be =$4,480. That is option D
What is compound interest?Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.
The total amount invested (p)= $2,000
The rate of investment (r) = 5%
The time of investment(t)= 12 year
The compound interest warm from that account;
= P×T×R/100.
= 2,000×12×5/100
= 120000/100
= $1200
For the next 8 years with the rate of 8% ;
= 2,000×8×8/100
= 128000/100
= $1280
The total compound interest = $1200+$1280= $2,480
Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480
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Let A be an n×n matrix. Determine whether the statement below is true or false. Justify the answer. If λ+5 is a factor of the characteristic polynomial of A, then 5 is an eigenvalue of A. Choose the correct answer below. A. The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then −5 is an eigenvalue of A. In order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ−5. B. The statement is true. If λ+5 is a factor of the characteristic polynomial of A, then λ+5 must be an entry on the main diagonal of A−λI. C. The statement is true. If λ+5 is a factor of the characteristic polynomial of A, then λ=5 is a root of the characteristic equation. D. The statement is false. The factors of the characteristic polynomial are useful for determining the eigenvectors of a matrix, not its eigenvalues.
Answers
The correct answer is A. The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then −5 is an eigenvalue of A. In order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ−5. This is because the eigenvalues of a matrix A are the roots of its characteristic polynomial, which is given by det(A-λI) where I is the identity matrix.
If λ+5 is a factor of the characteristic polynomial, then det(A-(λ+5)I)=0. This implies that A has an eigenvector corresponding to eigenvalue -(λ+5), which is -5 in this case. Therefore, 5 is not necessarily an eigenvalue of A. Moreover, the diagonal of A-λI contains the eigenvalues of A, not λ+5 as mentioned in option B. Option C is also incorrect because having λ+5 as a factor of the characteristic polynomial does not necessarily mean that λ=5 is a root of the polynomial. Option D is also incorrect because the factors of the characteristic polynomial are used to determine both the eigenvalues and eigenvectors of a matrix.
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The statement is false. If λ+5 is a factor of the characteristic polynomial of A, then it means that λ=-5 is an eigenvalue of A, not 5. This is because the characteristic polynomial is defined as det(A-λI), where I is the identity matrix and det is the determinant function. Setting λ+5 as a factor means that det(A-(-5)I) = 0, which implies that -5 is an eigenvalue of A.
Therefore, in order for 5 to be an eigenvalue of A, the characteristic polynomial would need to have a factor of λ-5, not λ+5. It is also important to note that while the characteristic polynomial is useful for determining both the eigenvalues and eigenvectors of a matrix, the factors of the polynomial only determine the eigenvalues, not the eigenvectors.
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Why is it undefined for the equation 0/0?
Answers
Answer:
Because anything divided by 0 is undefined. For example, 7/0 is undefined because 7 is being divided by 0 and that cant happen.
Answer:
x = 00 reduces to x = 0/0. Both are undefined, and thus cannot be considered "equal". Other than that, nothing.
What does the following code perform?
slli x2,x3,16
srli x3,x3,16
or x2,x2,x3
a.zeros out registers x2 and x3
b.swaps the upper and lower halves of register x3 and stores result into x2
c.reverses the bytes in register x3
d.sign extends the lower half of register x3
e.sign extends the upper half of register x3
Answers
The following code performs the operation of swapping the upper and lower halves of register x3 and storing the result into register x2. The correct answer is option b.
The code performs the following steps:
slli x2, x3, 16: This instruction shifts the bits in register x3 left by 16 positions, effectively moving the upper half of x3 to the lower half of x2.srli x3, x3, 16: This instruction shifts the bits in register x3 right by 16 positions, moving the lower half of x3 to the upper half of x3.or x2, x2, x3: This instruction performs a bitwise OR operation between registers x2 and x3, combining the upper half of x3 (previously stored in the lower half of x2) with the lower half of x3 (obtained from the previous shift operation), and stores the result in x2.Therefore, the correct answer is b.
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which graph above represents the equation y = 1/2x + 3
Answers
Answer:
A graph where the y-intercept is 3 and the slope is 1/2.
Step-by-step explanation:
Here is the graph:
See Attachment.
Ace Carlos
A survery showed that 12 out of 20 homeowners in the neighborhood had HBO TV subscription. If there are 320 homeowners in the neighborhood, how many could be expected to have a HBO subscription?
Answers
Answer:
192
Step-by-step explanation:
320/20=16
12x16=192