\(\large\underline{\underline{\red{\rm\blue{\longmapsto} Step-by-step\: Explanation:-}}}\)
Here , the given data is :
Principal = Rs 4400 . ( P )Time = 3 years . ( T ) Rate of Internet = 8% . ( R )We can calculate Simple Interest using ,
\(\boxed{\purple{\bf Simple\: Interest=\dfrac{P\times\:R\:\times\:T}{100}}}\)
On substituting the respective values ,
⇒ SI = P × R × T / 100.
⇒ SI = Rs 4400 × 8 × 3 / 100 .
⇒ SI = Rs 44 × 8 × 3 .
⇒ SI = Rs 1,056 .
Hence the required Interest is Rs 1,056.
a projectile was projected into the air off a rooftop with an initial velocity at 32 feet per second. the quadratic equation h= -16^2+32t+240 represents the height h of the projectile t seconds after it was projected into the air. according to the equation, how many seconds should it take for the projectile to hit the ground?
Given that, h= -16t^2+32t+240 represents the height h of the projectile t seconds after it was projected into the air. So, it takes 5 seconds for the projectile to hit the ground.
\In order to find how long the projectile will take to hit the ground, we need to find the time when h = 0
Substitute h = 0 in the given equation0 = -16t^2+32t+240
Solve the above quadratic equation to get the value of t.
If a quadratic equation is given in the form of ax^2+bx+c = 0, then its roots can be calculated using the formula:
x = \frac{-b±\sqrt{b^2-4ac}}{2a}
Substitute a = -16, b = 32 and c = 240, we get t = \frac{-32±\sqrt{(32)^2-4(-16)(240)}}{2(-16)}
Simplifying the above expression, we get, t = \frac{-32±\sqrt{1024+15360}}{-32}
t = \frac{-32±\sqrt{16384}}{-32}
t = \frac{-32±128}{-32}. Now, we need to choose the negative root because the height is 0 when the projectile hits the ground
t = \frac{-32-128}{-32}$$ $$t = \frac{-160}{-32}
t = 5. Therefore, it takes 5 seconds for the projectile to hit the ground.
For more questions on: projectile
https://brainly.com/question/27474184
#SPJ8
Rosa believes she can use a division expression to find the cost per pound of ground beef when 1 pound sells for $4. Which statement best explains why Rosa is correct or incorrect? Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word. Rosa is correct in using a division expression because the cost per pound should be less than $4. Rosa is incorrect in using a division expression because "cost per pound" refers to the product of the price and weight. Rosa is incorrect in using a division expression because the cost per pound must be an integer.
Answer:
Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.
Step-by-step explanation:
Given that
1 pound of ground beef sells for $4.
To find the cost per pound:
We need to divide the cost with the number of pounds.
i.e.
\(\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}\)
If 'Number of pounds' = 1, then cost per pound = Total Cost
Therefore, the above division expression can be used to find the Cost pound.
Putting the values given to find the 'Cost per pound':
\(\text{Cost per pound = }\dfrac{\$4}{1} = \$4\)
Therefore, Rosa's belief is correct that, a division expression can be used.
The correct answer is:
Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.
Answer:
A
Step-by-step explanation:
I got a 100
find the product of (4x+1)(5x-2)
Answer:
20x²-3x-2
Step-by-step explanation:
(4x+1)(5x-2)
20x²-8x+5x-2
20x²-3x-2
Which of the following titles is most likely a compare-and-contrast essay?
A. Living on the West Coast and Why I Like It
B. East Meets West: Natives’ Perspectives
C. Traveling on the West Coast
D. Problems with Living on the East Coast
B. East Meets West: Natives’ Perspectives is most likely a compare-and-contrast essay because it is directly comparing the perspectives of people from the East and West coasts. The other titles are more descriptive or subjective in nature, rather than focused on comparing and contrasting two different things.
If f(x) = V7x+5, find f(0).
*
Answer:
f (x) = 0
Step-by-step explanation:
since f of x is equal to 0 then when times by 7 and 5 it will be 0
hii can someone help me find the area of this square
Answer:6.76 cm2
Step-by-step explanation:
You have multiply 2.6 by 2.6 and then you have to square the cm so it will be 6.76 cm2
Answer: A. 6.76 \(cm^2\)
Step-by-step explanation:
Area is just length times width.
The length is 2.6 cm and the width is 2.6 cm, so just multiply the two.
2.6 x 2.6 = 6.76 \(cm^2\)
Make sure you don't forget the squared in questions that ask for area.
I need to know the answer I got cancer and I fell tired and I need to do this and no one is helping me
Find the next two terms. 2, 10, 50, ?, ?
Hi there!
The next 2 terms are 250 and 1,250.
We have a geometric sequence, which means we use multiplication or division to get to the next term.
Here, we multiply by 5 to get to the next term.
So we multiply 50 by 5:
50*5=250
We multiply 250 by 5 to get to the next term:
250*5=1,250
And we're done!
Therefore, the next two terms are: 250 and 1,250.Hope this helps!
~Just a felicitous girlie
#HaveASplendidDay
\(SilentNature :)\)
Answer:
250, 1250
Step-by-step explanation:
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 5 gives the next term.
Hope that helps!
7 + 2n = 8n - 5
Help please
Answer:
7 + 2n = 8n - 5
n = 2
Answer:
7 + 2n = 8n - 5
N = 2
Step-by-step explanation:
hope that work
what is the percent of change from 25 to 29
well, clearly is 4 :).
now, if we take 25 to be the 100%, what is 4 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 25 & 100\\ 4& x \end{array} \implies \cfrac{25}{4}~~=~~\cfrac{100}{x} \implies 25x=400\implies x=\cfrac{400}{25}\implies x=16\)
The system px +qy =r; fx + gy = h has solution(3,-1), where f,g,h,p,q, and r are nonzero real numbers.
select all the systems that are also guaranteed to have the solution (3,-1). (select all that applies)
a. (p+f)x+(q+g)y= r+h and fx+gy=h
b. (p+f)x+qy= r+h and fx+(g+q)y=h
c.px+qy=r and (3p+f)x+(3q+g)y=3h+r
d. px+qy=r and (f-2p)x+(g-2q)y=h-2r
e. px+qy+r and 5fx+ 5gy
The equivalent system of equations that would guarantee a solution of (3,-1) are
a. (p+f)x+(q+g)y= r+h and fx+gy=hd. px+qy=r and (f-2p)x+(g-2q)y=h-2re. px+qy+r and 5fx+ 5gy = 5hHow to determine the system of equations?The system of equations is given as:
px +qy =r
fx + gy = h
Add both equations
(p + f)x + (q + g)y = r + h
Multiply the second equation by a constant (say 5)
5fx + 5gy = 5h
Multiply the first equation by a constant (say 2)
2px + 2qy = 2r
The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)
Hence, the equivalent system of equations are (a), (d) and (e)
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
Ray XP is the angle bisector of Angle RXQ. Given the measure of Angle RXP 12x and Angle PXQ = 8x +12, What is the measure of Angle PXQ?
Question given
Ray XP is the angle bisector of Angle RXQ. Given the measure of Angle RXP 12x and Angle PXQ = 8x +12, What is the measure of Angle PXQ?
Solution
Since XP is the angle bisector of the angle RXQ then we can conclude that the angle RXP is equal to PXQ so we can do the following operation:
\(12x=8x+12\)And we can solve for the value of x and we got:
\(4x=12\)\(x=\frac{12}{4}=3\)And then we can solve for the value of the angle PXQ and we got:
\(\text{PXQ}=8(3)+12=36\)
Mhanifa please help i will mark brainliest :)
Answer:
If figures are similar, corresponding sides have same ratio.
Similar polygonsSide IJ x is corresponding with QR, and side HK with PS:
x/6.5 = 25.5/8.5x = 6.5*3x = 19.5 Similar trianglesRatio of corresponding sides:
x/7 = 18/6x = 7*3x = 218) Let R be a relation that is reflexive and transitive. Prove that R2 = R for any R with these two properties. 9) Suppose that the relation R is anti-reflexive. Is R2 necessarily anti-reflexive? Give a reason for your answer.
Even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.
Let R be a relation that is reflexive and transitive. We want to prove that R2 = R for any relation R with these two properties.
To prove this, we need to show that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R.
First, let's consider (a, b) ∈ R2. By definition, (a, b) ∈ R2 means that there exists an element c such that (a, c) ∈ R and (c, b) ∈ R.
Since R is reflexive, we know that (a, a) ∈ R and (b, b) ∈ R.
By the transitivity of R, if (a, c) ∈ R and (c, b) ∈ R, then (a, b) ∈ R.
Therefore, (a, b) ∈ R2 implies (a, b) ∈ R.
Now, let's consider (a, b) ∈ R. Since R is reflexive, we have (a, a) ∈ R and (b, b) ∈ R.
By the definition of R2, (a, a) ∈ R2 and (b, b) ∈ R2.
Since R is transitive, if (a, a) ∈ R2 and (a, b) ∈ R2, then (a, b) ∈ R2.
Therefore, (a, b) ∈ R implies (a, b) ∈ R2.
We have shown that for any ordered pair (a, b), (a, b) ∈ R2 if and only if (a, b) ∈ R. Hence, R2 = R.
If the relation R is anti-reflexive, it is not necessarily true that R2 is anti-reflexive.
To understand why, let's consider an example. Let R be a relation defined on the set of integers such that R contains the ordered pairs (a, b) where a < b.
In this case, R is anti-reflexive because for any integer a, (a, a) is not in R.
Now, let's consider R2. R2 is the composition of R with itself. If (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R2.
In our example, if we take a = 1, b = 2, and c = 3, we have (1, 2) ∈ R and (2, 3) ∈ R. Therefore, (1, 3) ∈ R2.
However, (1, 1) is not in R2 because (1, 1) is not in R. Therefore, R2 is not anti-reflexive in this case.
This example demonstrates that even if R is anti-reflexive, R2 may not necessarily be anti-reflexive. It depends on the specific properties and composition of the relation R.
learn more about anti-reflexive here
https://brainly.com/question/33443083
#SPJ11
The graph of the function y= \(\frac{k}{x^2}\) goes through A(10, -2.4). For each given point, determine if the graph of the function also goes through that point.
B (1,-24)
The graph of the function y = k/x² did not go through the point B
How to determine if the graph of the function also goes through the point BFrom the question, we have the following parameters that can be used in our computation:
y = k/x²
We understand that it passes through the point (10, -2.4)
So, we have
-2.4 = k/10²
Evaluate
-2.4 = k/100
Solving for k, we have
k = -2.4 * 100
So, we have
k = -240
This means that the equation is
y = -240/x²
For the point (1, -24), we have
y = -240/1²
Evaluate
y = -240
y = -240 is not the y-coordinate of (1, -24)
Hence, the graph of the function did not go through the point B
Read more about functions at
https://brainly.com/question/27915724
#SPJ1
13% of 160 is 16% of
A. 13
B. 130
C. 1300
D. 13,000
Answer:
B. 130
Step-by-step explanation:
_______________
Answer:
B - 130
both values are equal to 20.8
Step-by-step explanation:
the first step is figuring out what they want you to compare the multiple choice answers to- 13% of 160, which is equal to 20.8 (160*.13)!
so next, we need to take 16% of each of our answers. we can guess at what our answer isn't going to be, specifically that it cannot be 13 since 20.8 is more than 13. We can also guess its not going to be 13,000, since even ten percent of that is about 130. The same logic can be applied to 1300, ten percent of 1300 (ie dividing 1300 by ten) is 130, again too large.
Therefore, by process of elimination we can guess that its likely B.
As for checking: we have our 20.8 to compare to, and 16% of 130 (.16*130) is in fact 20.8.
calculate the value its asking you to compare to- 13% of 160 (or .13 * 160) is 20.8use process of elimination to eliminate a few answers:the answer cannot be A because A is already smaller than 20.8the answer cannot be D because even 10% of D is 1300 (much more than 20.8the answer cannot be C because 10% of C is 130, more than 20.8that leaves B as our answer- and lets check16% of 130, or .16*130 is equal to 20.8
A common at-home workout that features high-intensity cardio, strength-building exercises, and focuses on total body fitness might be:____.
A common at-home workout that features high-intensity cardio, and strength-building exercises, and focuses on total body fitness might be a 21-day or 60-day "challenge". Thus, the correct option is C.
Body fitness may be defined as an ability of a person to perform daily physical activities with normal performance, endurance, and strength. This fitness assists the individual in the regulation of disease, fatigue, and stress and reduced inactive behavior.
People who performed high-intensity cardio, and strength-building exercises, in their home and focus on total body fitness must be actively involved in the 21-day or 60-day "challenge".
A 21-day or 60-day "challenge" would be self-selected by an individual in order to maintain their overall physical fitness.
Therefore, the correct option for this question is C.
To learn more about Body fitness, refer to the link:
https://brainly.com/question/3524635
#SPJ4
Sally has 3:4 as many beads as Kelly. Kelly has 18 more beads than Sally. Find the average number of beads the girl have
The average number of beads that the girls have is 63
Let's start by using algebra to represent the given information:
Let b be the number of beads that Sally has.
Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.
Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).
Putting these together, we can write the equation:
(3/4)b = b + 18
Solving for b, we get:
b = 72
So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.
The average number of beads that the girls have is (72 + 54)/2 = 63 beads
Learn more about average here
brainly.com/question/16956746
#SPJ4
How many bows could Shira make if she worked for 10 hours?
50 bows
60 bows
25 bows
40 bows
Answer: 60
Step-by-step explanation: if it takes her 5 hours to make 30 bows, then in 10 hours it will taker 60
Step-by-step explanation:
people to have the hospital and they will have to give her 60bowls
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
i took a sample of the grade point averages for students in my class. for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89. the standard error for the sample was:
The standard error for the sample was 0.13 when "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89."
What is standard error?The standard deviation of a statistic's sampling distribution, or an estimate of that standard deviation, is the statistic's standard error. The term "standard error of the mean" is used when referring to a statistic that is the sample mean. By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.
Here,
The standard error=standard deviation/√number of samples
=0.65/√25
=0.65/5
=0.13
When "for the 25 students, the standard deviation of grade points was 0.65 and the mean was 2.89," the standard error for the sample was 0.13.
To know more about standard error,
https://brainly.com/question/13905583?referrer=searchResults
#SPJ4
Given the pre-image ABCD and the image after a dilation, A'B'C'D', what is true about the polygons? Check all that apply.
The length AB is 2.
The length A'B' is 3.
The image is smaller than the pre-image.
The scale factor is Three-halves.
The scale factor is Two-thirds.
For the given dilation of the polygons the correct answer are The length AB is 2. The length A'B' is 3. The scale factor is Three-halves.
What is dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. Yet, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.
The distance formula for the coordinates is given as:
d(A, B) = |x1 - x2|
From the figure we observe that,
d(A, B) = |2 - 4|
d(A, B) = |-2|
d(A, B) = 2 units.
Hence, option A is correct.
Also, the length of A'B' is:
d(A', B') = |3 - 6| = |-3| = 3 units.
Hence, option B is correct.
The original shape is called the pre-image in a transformation (in this example, a dilation), and the transformed shape is called the image.
The third response is untrue since the picture is larger than the pre-image.
The scale factor of the images is:
2k = 3
k = 3/2.
Hence, option 4 is correct.
The last option is also false, as the scale factor is already determined.
Hence, for the given dilation of the polygons the correct answer are The length AB is 2. The length A'B' is 3. The scale factor is Three-halves.
Learn more about dilation here:
https://brainly.com/question/29138420
#SPJ9
The complete question is:
Builtrite has calculated the average cash flow to be $14,000 with a standard deviation of $5000. What is the probability of a cash flow being between than $16,000 and $19,000 ? (Assume a normal distribution.) 16.25% 18.13% 23.90% 2120%
The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To learn more about probability click here:
brainly.com/question/31828911
#SPJ11
The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.
To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.
We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.
The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.
First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.
z1 = 2,000 / 5,000 = 0.4.
Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.
z2 = 5,000 / 5,000 = 1.
Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.
Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.
Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.
Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.
So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.
To learn more about probability click here:
brainly.com/question/31828911
#SPJ11
How to add subtract multiply and divide radical expressions
Heres some info i learend
s but its not complete maybe i guess
Terms. We combine em by adding. The numbers or subtracting the numbers that are multiplied times the radicals.
???Please be quick I need helpppp
Answer: b
Step-by-step explanation:
Kevin wants to buy an area rug for his living room. He would like the area rug to be no smaller that 48 square feet and no bigger than 80 square feet. If the length is 2 feet more than the width, what are the range of possible values for the length?
Answer:
8-10 feet
Step-by-step explanation:
If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.
Now we can solve for both the maximum and minimum cases:
x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.
x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.
Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.
A bus traveled on a straight road for 3 h at an average speed that was 12 mph faster than its average speed on a winding road. The time spent on the winding road was 3 h. Find the average speed on the winding road if the total trip was 210 mi.
The average speed on the winding road was 45 mph.
The bus traveled for 3 hours on the winding road, so the distance covered can be calculated using the formula: Distance = Speed × Time. Let's assume the average speed on the winding road as 'x' mph. Therefore, the distance covered on the winding road is 3x miles.
On the straight road, the bus traveled for 3 hours at an average speed that was 12 mph faster than its average speed on the winding road. So the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.
The total distance covered in the entire trip is given as 210 miles. Therefore, we can write the equation:
3x + 3(x + 12) = 210
Simplifying the equation:
3x + 3x + 36 = 210
6x + 36 = 210
6x = 174
x = 29
So the average speed on the winding road was 29 mph.
The problem states that the bus traveled for 3 hours on both the winding road and the straight road. Let's assume the average speed on the winding road as 'x' mph. Since the bus traveled for 3 hours on the winding road, the distance covered can be calculated as 3x miles.
On the straight road, the average speed was 12 mph faster than on the winding road. Therefore, the average speed on the straight road can be expressed as 'x + 12' mph. The distance covered on the straight road can be calculated as 3(x + 12) miles.
The total distance covered in the entire trip is given as 210 miles. This allows us to set up the equation 3x + 3(x + 12) = 210 to solve for 'x'. Simplifying the equation leads to 6x + 36 = 210. Solving for 'x', we find that the average speed on the winding road was 29 mph.
In summary, the average speed on the winding road was 29 mph.
Learn more about distance
brainly.com/question/13034462
#SPJ11
Which ordered pair is a solution of the equation?
y = 82 + 3
100 + 50% = ????? I KNOW ANSWER BUT I AM NOT SURE.
Answer:
\(100.5 = 100 \frac{1}{2} \)
Step-by-step explanation:
\(100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5\)
♨Rage♨
1. dividing a whole number by a fraction less than 1 whole results in a quotient that is _____ the original number.
2. Katie and Ellie split 1/4 of a chocolate cake. How much of the chocolate cake will each girl get?
3. Ben took 3 1/2 cups of marshmallows to share with 7 friends while camping. how many cups of marshmallows does each friend get?
4. Rick has 5 pieces of wood from a tree that he cut down for firewood. If he cuts each pieces of wood will he have to build a fire?
5. Ten watermelons weigh 16 1/2 pounds. What is the average weight of each watermelon?
6. Danny made 7 cups of hot chocolate for his family. His hot water pot only holds 3 1/2 cups at a time. How many pots hot water will he need to make to serve his family hot chocolate?
7. Mr. Benson has a rope that is 2 feet long. he needs to cut his rope into 1/4 foot sections. How many pieces of rope will he have after he cuts it?
The answers to all of the questions are:
quotient is the same as number.1/81/21.652 pots8 ropesHow to solve for the division of these words problems1. dividing a whole number by a fraction less than 1 whole results in a quotient that is same as the original number.
2. the quantity that both girls are splitting is 1/4
This would be 1/4 ÷ 2
= 1/4 * 1/2
= 1/8
each girl would get 1/8 of the cake
3. 3 1/2 ÷ 7
= 7/2 * 1/7
= 7/14
= 1/2
Each friend would get 1/2 of the marshmallow
5. weight = 16.5
n = 10
average weight would be
16.5/10
= 1.65
6. Total number of cups needed = 7
at a time = 3.5 of this 7
then 3.5 x 2 would give the exact number.
Danny has to use 2 pots of water.
7. 2 feet / 1/4
2 * 0.25
= 8, Danny would have 8 pieces of ropes after
Read more on divisions here
https://brainly.com/question/4721701
#SPJ1