Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total
Part A
Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.
The amount that each person would get after the sub is divided in 5 people equally is lesser than the amount of sub that they were getting when there were 4 people.
How to interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Thus, if 10 mangoes are there, and 2 people, then 10 ÷ 2 is the number of mangoes each person would get, which is 5.
Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b = a[/tex] divided in b equal parts.
Also, we can write: [tex]a \div b = a \times \dfrac{1}{b}[/tex]
(it is since a = a times 1 so [tex]a/b = 1 \times (a/b) = (1/b) \times a[/tex] )
Firstly the sub was divided in 4 parts,
and when 5 people came, so it was decided to share the sub in 5 equal parts.
The more we increase the number in which the considered thing (here sub) is to be divided, the lesser each part would be.
Let the sub is measured as 'a' units.
Case 1: Previously when 4 people were there:Each person would get: [tex]\dfrac{a}{4}[/tex]
Case 2: When there got 5 people:Each person would get: [tex]\dfrac{a}{5}[/tex]
We know that:
[tex]4 < 5[/tex]
Multiply both the sides by 'a', assuming 'a' is positive, we get:
[tex]4a < 5a[/tex]
Divide both the sides by 20:
[tex]\dfrac{4a}{20} < \dfrac{5a}{20}\\\\\dfrac{a}{5} < \dfrac{a}{4}[/tex]
Thus, the amount that each person would get after the sub is divided in 5 people equally is lesser than the amount of sub that they were getting when there were 4 people.
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Derrico is building a holding pen for his dogs. The rectangular holding pen is 14.8 feet wide by 8.9 feet long. About how many feet of fencing will he need to build the sides of this holding pen?
Answer:
11
Step-by-step explanation:
HELP NOW PLZ WILL GIVE BRAINLIEST PLUS 15 POINTS
When answer choices are in different measurements
At a restaurant, Trevor decides to tip the server 16% of the bill. If he leaves a $4.00 tip, which proportion could be used to find how much the bill was for?
16/100 = x/4
16/100 = 4/x
4/100 = x/16
4/100 = 16/x
The answer is: 16/100 =4/x
16 divided by 100 is 0.16
And 4x4 is 16
x is the varible of how much so it goes 4/x
So your answer is 16/100 =4/x
Hope this helps.
Mark brainliest
Answer:
5x
Step-by-step explanation:
Sara buys 2 1/8 pounds of grapes every week for 12 weeks. How many pounds of grapes did Sara buy over the 12 week period?
can u help due in 12 min please
Answer:
6 4/5
Step-by-step explanation:
What is the value of x given the following image?
The school store has 1500 pencils in stock and sells an average of 20
pencils per day. The manager reorders when the number of pencils in stock is 460.
Write an equation that can be used to determine in how many days the manager will have to reorder pencils.
Answer:
7th day
Step-by-step explanation:
because after that day the pencils will be no more
Answer:
52 day
Step-by-step explanation:
1500 - 460/20 = 52
(/ = divide)
Your cousin wrote this in her maths book: 10^5. What does this mean?
The number 10⁵ means that 10 is multiplied to itself 5 times.
What are Exponents?Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.
The given exponent is 10⁵.
A number of exponent xᵃ means that x is multiplied to itself 'a' times.
So in the same way,
10⁵ = 10 × 10 × 10 × 10 × 10
That is, 10 is multiplied to itself 5 times.
Hence the number 10⁵ means that 10 is multiplied to itself 5 times.
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x − 10 > 4x + 20 < x + 10
Answer: Do you have any more information you can include? This question is unsolvable otherwise
Step-by-step explanation:
Lesson 4-4 Homework
The question is attached below :)
Answer:
493.2 · 10⁸
Step-by-step explanation:
1 person = 180 bars
274,000,000 people · 180 bars per person
274,000,000 can be simplified to 274 · 10⁶
274 · 180 = 49320 · 10⁶
Now transferring this to scientific notation by moving the decimal two spaces to the left
493.2 · 10⁶ + 10² The 10² is for the two spaces to the left
493.2 · 10⁸
please help, i will mark brainliest
fr im desperate at this point
Answer:
These are correct: 5u and 3u are like terms, 9v is a term, 4 is a constant
Step-by-step explanation:
Answer: 1, 2 and 4
Step-by-step explanation:
pls hurry on the bottom i9s what web its on pls pls hurry
i need help with part c
Answer:
I cant see it its too small. Try and make it bigger.
Step-by-step explanation:
How can you express (15 + 30) as a multiple of a sum of whole numbers with no common factor?
A.
2 × (7.5 + 15)
B.
3 × (5 + 10)
C.
5 × (3 + 6)
D.
15 × (1 + 2)
The table shows the numbers of snare drum backbeats and bass guitar notes in a disco tune.
Snare Drum Backbeats Bass Guitar Notes
3 2
90 60
120 80
Are the two quantities proportional? Explain.
Use the drop-down menu to show and explain your answer.
The quantities Answer choices: are or are not)
proportional. All the ratios of notes to backbeats are
equivlant or not equivelant (multiple choice question so ill throw in 20 points)
Are, Equivalent
Step-by-step explanation:
Two quantities are proportional and All the ratios of notes to backbeats are equivalent.
What are the proportional quantities?When two quantities are proportional, it means that as one quantity increases the other will also increase and the ratio of the quantities is the same for all values.
[tex]\frac{3}{2} =\frac{3}{2}[/tex]
[tex]\frac{90}{60} =\frac{3}{2}[/tex]
[tex]\frac{120}{80} =\frac{3}{2}[/tex]
Since all the quantities are equal to 3/2.
So, two quantities are proportional and All the ratios of notes to backbeats are equivalent.
Thus, two quantities are proportional and All the ratios of notes to backbeats are equivalent.
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The side lengths of two triangles are shown. Represent the perimeter of each triangle with an expression in simplest form. Which triangle has a greater perimeter if x = 3? Will this be true for any positive value of x? Justify your response.
Answer:
Triange 1
Step-by-step explanation:
Replace x with 3 in each, and then add all the sides up. Im not sure about the second question, "Will this be true for any positive value of x? Justify your response".
Im hoping that someone else could answer that for you
Cheers!
if sally purchases a car for $22,000 with a 5 year loan having a 2.5% interest rate, how much simple interest will she have to pay on the loan
Answer:
11K
Step-by-step explanation:
22,000/5=4.4
4.4x2.5=11
I apologize if it is incorrect....I tried my hardest to make sense of this question
Answer:
1650
Step-by-step explanation:
-94%, -8/9, -925, -9/10
DIRECTIONS: list the values of the ascending order
please help DUE TODAY
Answer:
I think it's -94%, -8/9, -9/10, -925
This figure represents a platform in a park. The grounds crew needs to paint it yellow. One quart of paint will cover 100 square feet.
How many full quarts of paint does the crew need to buy in order to paint the entire platform?
Enter your answer in the box.
quarts
Answer:
Ik I'm late but the Answer is 3
Step-by-step explanation:
I took the test
There are 3 full quarts of paint does the crew need to buy in order to paint the entire platform
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
This figure represents a platform in a park. The grounds crew needs to paint it yellow.
And, One quart of paint will cover 100 square feet.
Now, Total are of the platform in a park is,
⇒ 2 (7 × 4) + 2 (8 × 8) + 2 (8 × 2) + 2 (7 × 2)
⇒ 56 + 128 + 32 + 28
⇒ 244 square feet.
Here, One quart of paint will cover 100 square feet.
Hence, For 244 square feet area;
Amount of paint = 244 / 100
= 2.44
≈ 3
Thus, There are 3 full quarts of paint does the crew need to buy in order to paint the entire platform
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Want to help me out here? (Please answer all 3)
Answer:
where the picture?
Step-by-step explanation:
Answer:
Step-by-step explanation:
1. There must be fewer than 5 (< 5) fish in the small quadrium. There are already 3 fish in the aquarium.
f + 3 < 5
2. r + 6 ≥ 11 {4, 5, 6, 7}
4 + 6 ≥ 11
10 ≥ 11
false
5 + 6 ≥ 11
11 ≥ 11
true
6 + 6 ≥ 11
12 ≥ 11
true
7 + 6 ≥ 11
13 ≥ 11
true
3. Jordan: burns 250 calories each hour that he walks. he wants to burn at least 375 (≥ 375) calories walking at the same rate.
h = hours
250h ≥ 375
/250 /250
h ≥ 1.5
This means that it will take him at least 1.5 (one and a half) hours to burn at least 375 calories.
Hope this helps!
One kilometer is 1000 meters. 1 meter equals how many kilometers?
Answer:
A meter, or metre, is the fundamental unit of length in the metric system, from which all other length units are based. It is equal to 100 centimeters, 1/1000th of a kilometer, or about 39.37 inches. A kilometer, or kilometre, is a unit of length equal to 1,000 meters, or about 0.621 miles
Step-by-step explanation:
Answer:
0.001
Step-by-step explanation:
Bc you are dividing by 1000
what is the radius of the cone
Answer:
Step-by-step explanation:
You can use calculus to derive the equation for the volume of a cone.
if we take an circle at the tip of the cone the radius is 0 but what we want to do is integrate along the x axis from 0 up to the height of the cone H.
So, the equation becomes
[tex]\int\limits^H_0 {\pi r^{2} } \, dx[/tex]
r is related to x by the formula for a line; r = m*x+b
m is the rise over the run which is given by the maximum height H divided by the maximum radius R. So m = H/R and the intercept b = 0
now we have a formula for r in terms of x and with a little variable manipulation we can get a formula for x in terms of r
r = (R/H)*x
If we replace r by this formula in our integral we get:
[tex]\int\limits^H_0 {\pi ((R/H)*x)^{2} } \, dx[/tex]
since [tex]\pi[/tex], R, and H are constants we can move them outside the integral:
[tex]\pi (R^{2} /H^{2} )*\int\limits^H_0 {x^{2} } \, dx[/tex]
the integral is easy. It is [tex]\frac{x^{3}}{3}\left \{{{x=H}\atop{x=0}} \right.[/tex] which is equal to [tex]H^{3} /3[/tex]
substituting back into the original formula we get the equation for the volume of a cone.
V = [tex](\pi R^{2}H)/3[/tex]
Use this formula with the values given in the question to solve for R.
183.17 = [tex]\pi[/tex][tex]R^{2}[/tex]*7/3
rearranging we get
[tex]\sqrt{183.17*3/(7\pi ) }[/tex] = R
R ≅ 5
pls helpp 3/4 + 4/5 - 7/10 =?
Answer:
3/4=0.75
4/5=0.8
7/10=0.7
0.75+0.8=1.55
1.55-0.7=0.85
Step-by-step explanation:
Answer:
17/20 or 0.85
Step-by-step explanation:
3/4+4/5-7/10=x
convert to have common denominators
15/20+16/20-14/20=x
17/20=x
1 5/12 x 6 1/3 =
please do it write this is my last and only chance to bring up my grade
Answer:
8 35/36
Step-by-step explanation:
1 5/12 * 6 1/3= 8 35/36
Answer:
8 [tex]\frac{35}{36}[/tex] (or 8 35/36)
Step-by-step explanation:
[tex]\frac{17}{12}[/tex] x [tex]\frac{19}{3}[/tex]
17 x 19 | 12 x 3 = [tex]\frac{323}{36}[/tex]
-(simplified): 8 [tex]\frac{35}{36}[/tex] (or 8 35/36)
After [tex]\frac{323}{36}[/tex] simplified, the answer should be 8 [tex]\frac{35}{36}[/tex] (or 8 35/36)
Sorry if this answer is wrong.
Bye, have a great day/night.
use the distributive property to fill in the blanks
( 9 x 3 ) + ( 9 x 7 ) = _ x ( 3 + 7 )
Answer:
[tex](9*3) + (9*7) = 9 *(3 + 7)[/tex]
if ur look for x its 9
PLEASE HELP ME !!!!!
Answer:
x = 50°
Step-by-step explanation:
The sum of angles on a line is equal to 180°.
Therefore,
x + 130° = 180°
x = 50°
Answer:
answer is 50 u add x plus 130 equals to 180
help pls thanksjhbjhbh
with what let me know what you need help with
A cylinder has a volume of 78cm3 What is the volume of a cone with the same radius and height?
Answer:Volume of cylinder V= bh= 78 cm^3,
where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3Upvote•0Downvote Add comment
Answer :D
The volume of the cone is [tex]26^{}[/tex] [tex]cm^{3}[/tex]
Question explanation:
Okay, so, we know that.
The volume of a cylinder is equal to:
[tex]V^{}[/tex] [tex]=[/tex] [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex]
In this problem, we have that:
[tex]V[/tex] [tex]=[/tex] [tex]78[/tex] [tex]cm^{3}[/tex]
So:
[tex]78 =[/tex] [tex]\pi[/tex][tex]r^{2}[/tex] [tex]h[/tex] [tex]=[/tex] [tex]equation[/tex] [tex]A[/tex]
The volume of a cone with the same radius and height is equal to
[tex]V =[/tex] [tex]\frac{1}{3}[/tex] [tex](\pi r^{2} h)[/tex] [tex]= equation[/tex] [tex]B[/tex]
Substitute equation A in equation B
[tex]V = \frac{1}{3} (78)[/tex]
[tex]V = 26^{}[/tex] [tex]cm^{3}[/tex]
Sorry if this answer is incorrect - Answered by Lilo
Using the equation 5 divided by 1/4 as an example, describe how to solve a fraction division problem using reciprocals.
Hey there!
First, let's solve this problem.
We have
5×1/4
First, let's write 5 as a fraction:
[tex]\bold{\displaystyle\frac{5}{1} }[/tex]
Now, divide:
[tex]\bold{\displaystyle\frac{5}{1} :\frac{1}4}[/tex]
Flop the second fraction over:
[tex]\bold{\displaystyle\frac{5}{1} :\frac{4}{1} }[/tex]
And now multiply the first fraction times the second one:
[tex]\bold{20}[/tex]
Now, how to solve fraction problems using reciprocals?
We use reciprocals when dividing fractions.What is a Reciprocal?
It's simply a number flopped over (like 1/4 is the reciprocal of 4 (4/1)How to Divide Fractions?
Simply multiply the first fraction times the reciprocal of the second one.Basically, dividing by 1/2 is the same as multiplying times 2 (or 2/1, which is the exact same thing)
Hope everything is clear.
Let me know if you have any other questions; if so, please comment.
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[tex]\rule{250}{2}[/tex]
5 divided by 1/4 is 20.
What is multiplication?A mathematical arithmetic operation is a multiplication. Moreover, it is the practice of repeatedly adding the same expression kinds.
Example: 2 + 3 means that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Given:
A phrase: 5 divided by 1/4.
To solve a fraction division problem using reciprocals:
Let n be the required value of the quotient.
n = 5 ÷ 1/4
n = [tex]\frac{5}{1/4}[/tex]
To convert the division to multiplication:
Reverse the number in the denominator,
n = 5 x 4/1
n = 20
Therefore, the value of the quotient is 20.
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