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.
Learn more about division here:
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The ratio of centimeters to inches is 3 centimeters to
1.18
inches.
Answer:
FALSO
Step-by-step explanation:
bc im genius
What is the product of 8 Over 9 and 2 Over 7 ?
10 Over 63
16 Over 63
9 Over 28
11 Over 15
8/9*2/7=16/63
That is the answer.
I bought 6 packs of gummy bears. There were 25 gummy bears in each bag and 20% were yellow. Another 10% were white. How many more yellow gummy bears were there than white gummy bears?
Answer:
15 (I think)
Step-by-step explanation
6 x 25 = 150
20% of 150 = 30
10% of 150 = 15
30 - 15 = 15
Sorry if this is wrong.
Bye, have a great day/night.
Answer: 15
Step-by-step explanation:
Facts
6 packs
25 per pack
20% are yellow
10% are white
How many more yellow than white?
Step 1: Find total gummy bears
25x6=150
Step 2: Find how many are yellow
20% of 150= 30
Step 3: Find how many are white
10% of 150=15
Step 4: Find the difference
30-15=15
Which of the following statements is TRUE?
A. The best deal always has the cheapest retail price.
B. You should always purchase the item with the cheapest unit price even if it means
buying a larger item that you won't use all of.
C. Sometimes the best deal is the item with a higher retail price.
D. All the of the above
Answer:
C
Step-by-step explanation:
at times when you buy items with the cheapest price some of them are fake
you can't buy a large item thats cheap and you won't use it
2.4.4 Journal: measurement and units answers because it’s a waist of time part 1 (this is just a test to see how to fix the pictures)
Angelica used 64 yards of fencing to enclose a circular play area for her golden retriever, Matt. What is the approximate radius of her dog’s play area?
Edna has a new step counter that keeps track of how far she walks each day. By lunchtime today, she had already walked 1.5 miles! Let m be the number of miles she walks the rest of the day, and let t be the total number of miles Edna walks today.
The equation t=m+1.5 represents this situation. Graph the equation. PLEASE HELP ME FAST!!!!!
Answer:
The below graph should model t = m + 1.5. I'm pretty sure this is correct. I just replaced t with y and m with x.
Hi, can someone help me please ?
Answer:
The answer is d
Step-by-step explanation:
Solve for BRAINLIEST
Answers:
1. 12m^2 and 8m^3
2. a=v+3, l=v-2
3. No
4. 4.5mm^2
Step-by-step explanation:
1. Surface area:
2m^2 (area of face) * 6 (# of faces)
=12m^2 or 12 square meters.
Volume: (2m)^3=8m^3 or 8 cubic meters.
2. a=v+3, l=v-2
because if we rewrote exactly what the problem says, "Anna is 3 years older than Vickie" that is mathematically a=v+3. Do the same with the other equation.
3. 5.275+8.36g when g=120 is 5.275+1003.2, or 6.278.2, which is more than 6000, so the bridge would not hold Melinda's truck and 120 gallons of water.
4. 2s^2 + 4sh when s=0.5mm and h=2mm:
2*0.25mm^2+4*0.5mm*2mm
=0.5mm^2+4mm^2
=4.5mm^2
I hope I explained these problems well enough. Happy mathing!
Math problems, yay PLS HELP-
Answer:
235.62
Step-by-step explanation:
First you need to find the area of the big circle as a whole the equation is
A = pir^2
you need to plug in the radius of the big circle which would be
A = pi(10)^2
which equals
314.16
Then you need to find the area of the unshaded circle in the middle using the same formula but replacing the 10 with a 5
which equals
78.54
We then subtract the 78.54 from the 314.16 and we get 235.62 which is the area of the shaded circle to the right
What is the sum of −45 and 23?
Answer:
-22
Step-by-step explanation:
-45 + 23 = -22
Mike can read 15 pages of a book in 24 minutes.
At this rate, how many minutes will it take Mike
to read 45 pages of the book?
Answer:
72
Step-by-step explanation:
Answer: It will take Mike 72 minutes to read 45 pages.
Plz mark brainliest:)
What is the equation of this line?
A. y=4/3x−3
B. y=−3x−3/4
C. y=3/4x−3
D. y=−3x−4/3
Answer: Y= 3x-4 And Y= -3x+2 i think
Step-by-step explanation: but anyway go to my page then click on questions go to the first on type and answer and get free points and hearts :)
Answer:
C. y=3/4x-3
Slope: 3/4
y-intercept: -3
Equation: y=3/4x-3
Make a table with x and y just like the one shown below
X:Y
0:-3
4:0
As you can see when x is 0 y equals (-3)
That (-3) is your y-intercept
Now we're going to save that for later
Then you do 0-(-3) and 4-0
You should get positive numbers of 3 and 4
Now you do y/x and that will be 3/4
That 3/4 is your slope
We're going to bring back that (-3) we got earlier and make the equation
The equation is y=3/4x-3
Make sure that you check your work as well
I hope you understand what I'm saying here :)
can someone please help me solve these problems? Or at least just one of them please? if you solve one of them, please lmk which one so I know. thank you!!
(Putting this in for the points) Pythagorean theorem is calculated with x²+y², so the first is 12, the second is 17, the third is 33.5, and 20 for the fourth.
A coat cost $39.99 at Walmart. The sales tax is 4.5%. What is the total amount of the sales tax?
Options:
1. $1.80
2. $38.19
3. $41.79
4. $44.49
PLEASE HELP I NEED THIS NOW ILL GIVE BRAINLIEST
A student spins a spinner that has 3 equal sections labeled A, B, and C and then tosses a six-sided number cube.
What is the sample space for this compound event?
A: {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}
B: {A, B, C, 1, 2, 3, 4, 5, 6}
C: {ABC1, ABC2, ABC3, ABC4, ABC5, ABC6}
D: {A6, B6, C6}
Answer:
{A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}
Step-by-step explanation:
I took the test
The sample space of the compound event of spinning a spinner and tossing a six-sided number cube is {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}, the cartesian product of the sample spaces of the two events. Hence, option A is the right choice.
What is a cartesian product?An ordered set of sets is used to define a Cartesian Product. It's the collection of all conceivable ordered combinations made up of one member from each of the sets.
The set containing all ordered pairs (p, q), where p is an element of P and q is an element of Q, is the Cartesian product of two sets, P and Q, represented as P*Q.
How do we solve the given question?We are given that a student spins a spinner that has 3 equal sections labeled A, B, and C and then tosses a six-sided number cube.
Let the event of getting something on spinner be X.
∴ Sample space of X = {A, B, C}
Let the event of getting something on the number cube be Y.
∴ Sample space of Y = {1, 2, 3, 4, 5, 6}
The sample space of the compound event is the cartesian product of sample space of X with sample space of Y.
∴ Sample space of compound event = {A, B, C}*{1, 2, 3, 4, 5, 6}
or, Sample space = {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}.
∴ The sample space of the compound event of spinning a spinner and tossing a six-sided number cube is {A1, B1, C1, A2, B2, C2, A3, B3, C3, A4, B4, C4, A5, B5, C5, A6, B6, C6}, the cartesian product of the sample spaces of the two events. Hence, option A is the right choice.
Learn more about the Cartesian Product at
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i have a math dba at 10:00 am today for module 6 grade 6 segment 2 flvs. what should i know
Answer:light rays expand thu lends or any type of object that light can pass thu
Step-by-step explanation:
(y - 2) ÷6 =1
What is y?
Answer:
[tex]y=8[/tex]
Step-by-step explanation:
Given the following question:
[tex](y-2)\div6=1[/tex]
To find the answer we must remember we need to isolate the variable and get it by itself, first we need to rewrite the expression and solve by using inverse of operations.
[tex](y-2)\div6=1[/tex]
[tex]\frac{(y-2)}{6} =1[/tex]
[tex]6\times0=0[/tex]
[tex]1\times6=6[/tex]
[tex](y-2)=6[/tex]
[tex]-2+2=0[/tex]
[tex]6+2=8[/tex]
[tex]y=8[/tex]
Your answer is "y = 8."
Hope this helps.
renee used the values in the table to calculate simple interest
00.5
0.5
5%
50%
Answer:
i believe it might be 50%
Step-by-step explanation:
You guys please help!! 8th grade math
Which expression is equivalent to the equation below.
2x - 1/3 (12x - 30)
A. 2 ( x + 5)
B. -2 ( x + 5)
C. -2 ( x - 5)
D. 2 ( x - 5)
Answer:
C. -2 ( x - 5)
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then combine like terms. Factor the greatest common factor from the result.
[tex]2x -\dfrac{1}{3}(12x -30)=2x-\dfrac{12}{3}x+\dfrac{30}{3}=2x-4x+10\\\\=-2x+10=\boxed{-2(x-5)}[/tex]
Answer:
c) -2 (x - 5)
Step-by-step explanation:
2x - 1/3 (12x - 30)
2x - 4x + 10
-2x + 10
-2x + 10 can be written as:
-2x + 10
-2 (x - 5)
Check your answer:
-2 (x - 5)
-2x + 10
Hope this helps!
help please I need to find the area but I don't know how
Answer:
Let's find the area of the rectangle below since we are given lengths.
Formula for area of a rectangle:
a = w * l, where "w" is the width and "l" is the length
The width is 24 and the length is 8 yards, so let's multiply those;
a = 24 x 8
a = 192 square yards
Now that we have found one of the areas, let's find the triangle above.
Though we are not given the base of the triangle, we can find the triangle's base by adding the other two side lengths beside it and subtract it by the total width.
The other two side lengths are 6 and 6, the total width is 24 as shown under the rectangle.
So we add the two side lengths (6 + 6) = 12, and subtract it from it's total, 24, (24 - 12) = 12
Now that we have found the base of the triangle, we must find the height of the triangle (the dotted line that runs vertically through the triangle).
The height of the rectangle is 8, the total of the dotted line that runs through both the triangle and the rectangle is 16.
Now we just subtract 8 from the total of the dotted line to get our height of the triangle, (16 - 8) = 8, finally we can find the area of the triangle.
Formula for area of triangle;
A = BH x 1/2, where "b" is the base and "h" is the height.
Replace b and h:
A = 12(8) x 1/2
A = 96 x 1/2
A = 96/2
A = 48 square yards
Since we found the area of the two shapes, we must add them to get the total area.
Area of rectangle: 192
Area of triangle: 48
We add;
192 + 48 = 240 square yards, is your answer.
w=3x+7y solve for y in doing a class paper and im super confused
To solve for y, we need to isolate it. Start by moving all of the values on the side the y is on that don't have y to the other side (kind of confusing the way I said it). By that, I mean subtract 3x from both sides:
W = 3x + 7y
W - 3x = 7y
Now, divide both sides by 7 to find the value of y:
W - 3x = 7y
(W - 3x)/7 = y
Hope this helps! :)
Find the simple interest.
$5,000, 5%, 3 years
Find the ending balance
$5,000, 5%, 3 years
Marking brainliest <3
But just give me the answer I need this ASAP
Answer:
The answer is $5,788.13
1# What is the side length of a square with an area of 1/16 square units?
2# What is the volume of a cube with edge lengths of 2/3 units?
3# What is the edge length of a cube with a volume of 27/64 cubic units?
Answer:
#1 1/4
#2. 8/27
#3 3/4
Step-by-step explanation:
let the side of the square be y
Area of a square = y x y = y^2
y^2 = 1/16
y = sqrt (1/16)
y = 1/4
volume of a cube = edge length x edge length x edge length
Volume of a cube = 2/3 * 2/3 * 2/3
Volume of a cube = 8/27
volume of a cube = (edge length)^3
Edge length = cube root (volume of a cube)
Edge length = cube root (27/64)
Edge length = 3/4
Coach Patrick is ordering football jerseys for his team. The table below shows the relationship between the number of jerseys ordered and the total cost of the jerseys.
Based on the information shown in the table, what is the total cost of ordering 52 jerseys?
Answer: Pretty sure it's 390$
Step-by-step explanation:
which way does a staircase go? up or down?
Answer: Both
Step-by-step explanation:
Chase a has locker that is 2 ft. wide, 2 ft. deep, and 5 ft. high. How many boxes of fundraising candy can he fit into his locker if each box is 1 ft.3 in volume?
Answer:
16 boxes of candy
Step-by-step explanation:
since 12 inches fit in one foot, 3 inches are basically 3/12 or 1/4
the volume of the locker = width x depth x height. 2x2x5=20
20 divided by 1 1/4=20 divided by 5/4=20*4/5=80/5=16
Answer:
20 boxes of fundraising candy can fit in his locker.
Step-by-step explanation:
because V= l x w x h. 2 x 2 x 5= 20, since you know that the volume is 1. Divide 1 and 20, you still get 20.
This figure represents a compartment in a container for storing craft supplies. Another compartment is identical except that it is 4 centimeters taller.
What is the difference in volume of the two compartments?
Enter your answer in the box.
cm³
Answer:
280cm^3
Step-by-step explanation:
Find the volume of the original container (490), and subtract that from the volume of the second container (770) to get 280cm^3.
The difference in the volume that the two compartments have:
280 [tex]cm^3[/tex]
Find the volume
Given that,
Sum of parallel sides = 15cm + 5cm
= 20 cm
Height = 7 cm
[tex]= 4 cm[/tex]
To find,
The volume of the compartment = Area of base × Height
= {(1/2) × 20} × 7} × 7
= 490 [tex]cm^2[/tex] ...(i)
Now,
The new compartment's height = 7 + 4
= 11 cm
Volume for the new compartment = Area of base × Height
= 70 × 11
= 770 [tex]cm^3[/tex] ...(ii)
Now,
To find the difference in the volumes,
(ii) - (i)
= 770 - 490
= 280 [tex]cm^3[/tex]
Thus, 280 [tex]cm^3[/tex] is the correct answer.
Learn more about "Volume" here:
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Asap, please help me
The measure of c is___.
Answer:
10
Step-by-step explanation:
it is because of Pythagoras's theorem: that the sum of the squares of the two lines that form a right angle, must add up to the square of the hypotenuse (c). So 6²+8² is 100, which is the square of 10.
Answer:
10
Step-by-step explanation:
Pythagorean Theorem tells us that (6)a^2 plus (8)b^2 = (10)c^2
6^2 = 36
8^2 = 64
36 + 64 = 100
sqrt of 100 = 10
c = 10