The square cake can be distributed in such a way that each person out of 15 guest may get 8 [tex]inch^{3}[/tex], with the least amount left over .
The Correct option is (1).
What is Volume of any shape?The volume of an object is the amount of space occupied by the object or shape, which is in three-dimensional space. It is usually measured in terms of cubic units.
First find the volume of square cake,
Volume = l x b x h= 8 x 8 x 2
=128 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{128}{15}[/tex]
= 8.533 [tex]inch^{3}[/tex]
2.Volume of round cake (d= 6 inch, r=3 inch, h= 3 inch)
Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} *3.14 *3^{2}* 3[/tex]
=[tex]3.14*9[/tex]
=28.26 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{28.26}{15}[/tex]
= 1.884[tex]inch^{3}[/tex]
3.Volume of round cake (d= 8 inch, r=4inch, h= 3 inch)
Volume= [tex]\frac{1}{3} \pi r^{2} h[/tex]
= [tex]\frac{1}{3} *3.14 *4^{2}* 3[/tex]
=[tex]3.14*16[/tex]
=50.24 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{50.24}{15}[/tex]
= 3.349 [tex]inch^{3}[/tex]
4. Volume = l x b x h
= 6 x 9 x 2
=108 [tex]inch^{3}[/tex]
Now there are total 15 guests, Each of get
=[tex]\frac{108}{15}[/tex]
= 7.2[tex]inch^{3}[/tex]
According to question each person may get 8 [tex]inch^{3}[/tex].
Only the square cake can be distributed in such a way that each person may get 8 [tex]inch^{3}[/tex], with the least amount left over .
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My brother insists that my answer is wrong so can anyone please answer this so I can show him
Answer:
30
Step-by-step explanation:
6/1 x 5/6 = 30/6 or 5.
5/1 divided by 1/6 is 5/1 x 6/1 or 30.
Therefore, the answer is 30.
Answer:
It's C. 30
Multiply 30 by 1/630 goes into 1/6, 5 timesThe first equation's value is 5, therefore the equation is complete, both equations now match.__________________________________________________________
Questions?Ask in comments
pls help i give lots of points
Answer:
A. trapezoid
Step-by-step explanation:
edge 2022
The three angles inside of a triangle add up to HOW MANY degrees?
180
90
360
120
Answer:
180
Step-by-step explanation:
This is 180 because the specific angles in a triangle will unless an irregularly shaped triangle will equal up to 180.
39-42 Differentiate [tex]f[/tex] and find the domain of [tex]f\text{.}[/tex]
39. [tex]f(x)=\frac{x}{1-\ln (x-1)}[/tex]
[tex]\text{Given that,}\\\\f(x) = \dfrac x{1- \ln (x-1)}\\\\\\f'(x)=\dfrac{(1- \ln(x-1))-x\cdot \left(0-\dfrac 1{x-1} \right)}{(1- \ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{(x-1)(1- \ln(x-1))+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{x-x\ln(x-1)-1+\ln(x-1)+x}{(x-1)(1-\ln(x-1))^2}\\\\\\~~~~~~~~= \dfrac{2x-1-(x-1)\ln(x-1)}{(x-1)(1-\ln(x-1))^2}\\[/tex]
[tex]\text{domain f(x):} ~\{x|x > 1, x\neq e+1 \}[/tex]
Given two independent events A and B, the probability of both event A and event B occurring is equal to the probability of A plus the probability of B. Please Explain.
Answer:
Step-by-step explanation:
You would add probabilities if you want to find out if one event or another could happen. For example, if you roll a die, and you wanted to know the probability of rolling a 1 or a 6, then you would add the probabilities:
Probability of rolling a 1: 1/6
Probability of rolling a 6: 1/6
So the probability of rolling a 1 or a 6 is 1/6 + 1/6 = 2/6 = 1/3.
Q.
(5sin 87° + tan 72° - sec 5°) / (cot 18° - cosec 85°+ 5cos 3°)
[tex]\dfrac{5 \sin 87^{\circ} + \tan 72^{\circ} - \sec 5^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\sin\left(90^{\circ}-3^{\circ} \right) + \tan\left(90^{\circ}-18^{\circ} \right)-\sec\left(90^{\circ}-85^{\circ} \right)}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=\dfrac{5\cos 3^{\circ} + \cot 18^{\circ}-\csc 85^{\circ}}{\cot 18^{\circ}-\csc 85^{\circ}+5\cos 3^{\circ}}\\\\\\=1[/tex]
Translate the sentence into an inequality.
Ten increased by the product of a number and 5 is less than -15.
Answer:
10 + 5x ≤ -15Step-by-step explanation:
sentence —————————-——————> math expression
Ten increased by —————————————> 10 +
the product of a number ‘x’ and 5 —————> 5x
less than -15 —————————-——————> ...... ≤ -15
Conclusion:
10 + 5x ≤ -15
Use the addition property of equality to complete the statement
If 4x-3=10, then
4x=13
Step-by-step
add 3 to both sides making 10=13
4x=13
Approximate 4/9 as a percent?
On a motor trip, Mr. Williams covered 2/6 of his total trip distance by driving 388 miles. The total distance to be covered in miles
is:
A. 1,438
B. 1,164
C. 1,382
D. 1,218
Answer:
B
Step-by-step explanation:
2/6 x d = 388
d = 388 x 6/2 = 1164 m
Answer:
The total distance covered in miles is B, 1164 miles.
Step-by-step explanation:
Since we know that 2/6 of his total trip distance is 388 miles we can do 388 / 2/6 = 1164. Therefore, his total trip distance is 1164 miles.
Let's say we have a sample of 57 participants in a study, what would the degrees of
freedom be for the study with one sample
Answer:
56
Step-by-step explanation:
degree of freedom is n - 1, n being the sample size
One sample of 57 participants in a study (given)
For this study, n = 57
Using the degree of freedom formula, 57 - 1 = 56
Hope it helps, Let me know if yoy have any more questions/concerns !
Have a nice rest of your day :)
Question
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
m² + 5m.
Answer:
m^2+5m+25/4
perfect square trinomial^^
Pls help me
Pls show your answer pls and thank you
Answer:
Step-by-step explanation:
Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the y-axis and time on the x-axis. The slope will be 2.2 at every point along her bike ride.
Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5
Answer:
B. Every 5 minutes 11 ft. traveled
2.2ft.= every 1 minute
C. Steeper. this is because her rate of change is much higher than before
If you deposit $50 in checks in your account with $100 cash amount, what is your total deposit?
2. Calculate the mean of the following
sample:
20, 15, 22, 13, 14, 18, 19, 11, 23, 17
Answer choices:
16.8
17.2
17.6
Answer:
what is mean: mean is the "average" of a set of numbers and it is calculated by adding up the values given and dividing by the total number of values given.
Step-by-step explanation:
formula: addition of all values divided by the number of values given.
total number of values given = 10 ( count each number as one )
so ..
20+15+22+13+14+18+19+11+23+17 = 172
divided by 10
= 17.2 ( decimal)
or 17 whole number 1/5 ( mixed fraction )
or 86/5 ( improper fraction ).
Hope this helps.
Good luck .
Please help I’m not really good at math
Answer:the answer would be equal to.
Step-by-step explanation:
Richard has completed 24 problems in a math review packet. He has finished 60% of the packet.
Answer:
40 problems.
Step-by-step explanation:
I am assuming you are asking what the total number of problems is.
24*100 is 2400
2400/60 is 40
Write the following equation symbolically
7 divided by x is less than 8 times y
Answer:
7/x < 8y
Step-by-step explanation:
7/x < 8y
This is what the new and original figures are when a dilation occurs. This is for a crossword puzzle with 14 spaces. please answer this correctly. 20 points worth
Answer:
the 6th option is yore answer! hope this helps:))
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.
A hotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. The remainder of the guests were at the hotel on business.
Use the table of randomly generated letters to answer the questions about this scenario. The letter P represents personal reasons, and B represents business reasons.
BBB PBB BPB PPB BBP
BBP PBB PPB PBB BBP
BBP BPB BBB BBB BBB
PPB BPB PBP BPB BBP
BPB PBP PPB PBB BBB
Based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is _____
The estimated probability that it takes at least four guests to find one who is staying for personal reasons is _____
Answer:
8
Step-by-step explanation:
which matrix is equal to ( -6 -6.5 1.7 2 -8.5 19.3 )
The matrix that is equal to the considered matrix [-6,-6.5,1.7; 2, -8..5, 19.3 ] is given by: Option D: [-6,-6.5,1.7; 2, -8..5, 19.3 ]
When are two matrices called being equal?Two matrices are equal if and only if their shapes are same, and they've got the same elements for each corresponding row and column positions.
The missing options are specified in the image attached below.
The considered matrix is:
[tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\2&-8.5&19.3\end{array}\right][/tex]
It has 2 rows and 3 columns.
Evaluating each of the options:
Option A and B are wrong as they've got 3 rows and 2 columns, which makes their shape not matching with the shape of the considered matrix.
Option C although has got 2 rows and 3 colums, but its elements are not matching with corresponding elements of the considered matrix.
Option D has 2 rows and 3 colums and its each element matches with the corresponding element of the considered matrix. (ie, for example, element common in first row and first column in option D is -6, and so as for the considered matrix, and similarly, all correspoding elements for each row and column is same in both matrices.)
Thus, the matrix that is equal to the considered matrix [-6,-6.5,1.7; 2, -8..5, 19.3 ] is given by: Option D: [-6,-6.5,1.7; 2, -8..5, 19.3 ]
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Answer:
D hope u get good grade
Step-by-step explanation:
edge 2023
Which statement best describes the figure shown below?
A.
The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.
B.
The figure is not an example of perpendicular segments because they are not coplanar.
C.
The figure is not an example of perpendicular segments because do not intersect to form a right angle.
D.
The figure is an example of perpendicular segments because they are not coplanar and intersect to form a right angle.
Answer:
A. . The figure is an example of perpendicular segments because they are coplanar and intersect to form a right angle.Step-by-step explanation:
→the two segments are Coplanar because they are in the same plane
→The angle between the two segments is marked by a little square which indicates that it’s a right angle in other words the segments are perpendicular.
23 points see attachment below
Answer:
-3
Step-by-step explanation:
The top left box on the x axis is negitive 3
in a significance test of one population mean if vairance of population is unknown but the sample size is 30 or more we use z test why?
The student T distribution would be used since we don't know the population variance (by extension the population standard deviation).
However, if n > 30, then the student T distribution is going to look very similar to the standard normal Z distribution. It won't be a perfect match, but it'll be close enough that it's more simple to use the Z distribution. With the Z distribution, you only have one set of values and you don't have to worry about the degrees of freedom.
Find the measures of the angles 1 through 7.
John made a triangle with all three sides the same length, 1 \frac{2}{3} ft. What is the perimeter of the triangle?
Answer:
5 ft
Step-by-step explanation:
If all sides are of the same length, we can multiply the value of one side by 3, because a triangle has three sides (and the perimeter is all sides added together), to find the perimeter.
[tex]1\frac{2}{3}[/tex] × 3
[tex]1\frac{2}{3}[/tex] can be rewritten as [tex]\frac{5}{3}[/tex], so:
[tex]\frac{5}{3}[/tex] × [tex]\frac{3}{1}[/tex]
[tex]= \frac{15}{3}[/tex]
The numerator & denominator share a common factor of 3, so:
5 ft is the final answer/perimeter.
hope this helps!
A lot is 60 m by 38 m. A house 32 m by 9 m is built on the lot. How much area is left over?
Answer:
1992
Step-by-step explanation:
60x38=2280
32x9=288
2280-288=1992
Hope it helps!
Find the area of the circle.
Use 3.14 for π.
d = 10 cm
A = [?] cm²
A=TCr2
Answer:
78.5
Step-by-step explanation:
The diameter (d) is equal to the radius x 2, so take half of d to get r. Use r (5) in the equation to get your answer.
A= 3.12 x 5^2
A= 78.5
Find the next two terms in this sequence.
4,8,-16,-32,64, [??],[??]
Answer:
its actually just r=-2
On a video game Julie earns 150 points for each gold bars she captures if S represents Julie's total score and B represents the number of captured gold bars which statements are correct?
A. s = 150b
B. b = 150s
C. s/150 = b
D. The score (s) is the dependent variable, and the number of bars is the independent variable.
E. The score (s) is the independent variable, and the number of bars is the dependent variable.