Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
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1. The cheerleading squad is selling hot dogs and cookies for a fundraiser. The cost of each hot dog is $1.50 and the cost of each cookie is $0.75. How many hot dogs and cookies can a person buy with less than $15?
Answer:
5 hot dogs and 9 cookies
Step-by-step explanation:
1.5(5)+0.75(9)<15
7.5+6.75=14.25
Ms. Reynold's sprinkler system has 5 stations that water all parts of her front and back lawn. Each station runs for an equal amount of time. If it takes 16 minutes for the first 2 stations to water, how long does it take to water all parts of her lawn?
Answer: 40 minutes
Step-by-step explanation:
It takes 16 minutes for the first 2 stations to water their sections which means that the time taken per station is:
= 16/2
= 8 minutes per station
Ms. Reynolds has 5 stations.
Total time taken will therefore be:
= 8 * 5
= 40 minutes
Terry sees this offer refurbished phone 35% off now only £78 how much was the phone before the discounted price
Answer:
the price before the discounted price is £120
Step-by-step explanation:
The computation of the price before the discounted price is shown below:
After giving 35% off the price is £78 that means it is 65% value
So we have to determine the 100% value
So,
= £78 × 1 ÷ 0.65
= £120
Hence, the price before the discounted price is £120
You are printing out information packets for your company. You will need a total of 6,400 pages to complete all of the packets. How many reams of 500 pages each will you need in order to print out all of these packets?
Answer:
13 reamsStep-by-step explanation
Given
Total number of pages to complete the packet = 6400 pages
If each ream contains 500pages, then:
Total number of reams needed = Total pages/number of pages per ream
Total number of reams needed = 6400/500
Total number of reams needed = 12.8
Hence you will need about 13 reams for all the packets
Find the value of y....?
Answer:
B) 12
Step-by-step explanation:
(9y + 7)° + (7y - 19)° = 180° (interior angles in the same side of transversal)
(9y + 7 + 7y - 19)° = 180°
(16y - 12)° = 180°
16y - 12 = 180
16y = 180 + 12
16y = 192
y = 192/16
y = 12
Answer:
9y+7=7y-19
7+19=7y-9y
26=-2y
26/-2=-2y/-2
y=-13
I hope this helps:
Ryan drinks 1 1/2 liters of water every 3/4 of an hour at a constant rate.
How many liters of water does he drink in 3 hours?
Answer:
6
Step-by-step explanation:
Translate this sentence into an algebraic inequality.
3 more than the product of x and 12 is less than 25.
Select one:
a. 12x + 3 < 25
b. 3 > 12x – 25
c. 3 > 12(x - 25)
Answer:
Option A
Step-by-step explanation:
Lets convert each sentence into algebric inequality.
3 more than product of x & 12 :-[tex] = > 12x + 3[/tex]
Now , 12x + 3 is less than 25 :-[tex] = > 12x + 3 < 25[/tex]
7th grade work help please
will give brainliest:)
Answer: 67.27
Step-by-step explanation:
7.1 x 7.1 for the square = 50.41
7.1 divided by 2 = 3.55
3.55 x 4.75= 16.86
Normally here you would divide by 2, but you don’t need two because there is 2 triangles that are the same
Add the 50.41 and the 16.86 and you have your answer!
When buying a car, Esther can choose a 2-door or 4-door car with leather or cloth interiors in black, silver, or white. How many different combinations can be made with the car options?
Answer value
Answer: I think 12
Step-by-step explanation: all the posibilitys-
1. 2 doors
2. 4 doors
3. silver
4. black
5. white
6. cloth
7. leather
Can someone help me please
The ratio of boys to girls in a group is 7:2. If there are 60 more boys than girls, work out how many girls there are.
Answer:
Step-by-step explanation:
So, kids are divided into 8 total parts.
7 - 1 = 6 more parts that are boys. The 48 extra boys are those 6 parts.
48/6 = 8 boys per part
All parts have the equal number of kids, so one part girls also has 8.
There are 8 girls (and 56 boys. 8:56 = 1:7).
Solve the equation: 3(x + 2) = 40.2 *
please help
Answer: x=11.4
Step-by-step explanation: 3(x+2)=40.2
(3)(x)+(3)(2)=40.2
3x+6=40.2
3x+6−6=40.2−6
3x=34.2
3x /3 = 34.2 /3
x=11.4
What is the measure of
Answer:
148°!
Step-by-step explanation:
By taking 180° (The degree of a striaght line) and subract by the other angle (32°) you'll get the answer!!
Pls tell me what I put under m and +b
this qeustion cannot be solved! never seen it before andusally there is a number instead of a y
Nicholas bought 24feet of fabric at afabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholaspaid with a $50bill, how much change should he have received?
Answer:
24x1.35=32.4
He should have recieved $32.40 in change.
What is the ratio of the calories Robyn
burned on Wednesday to the calories she
burned on Monday?
A. 4:3
B. 3:2
C. 5:3
D. 5:4
Answer:
Step-by-step explanation:
7
A jar contains 21 marbles: 8 white, 3 green, and 10 red. Write the described ratio in simplest form.
A. number of white marbles to number of green marbles.
Answer:
The question you posted was a bit confusing for me, but I'm assuming that you want the simplified ratio of the number of white marbles to the number of green marbles.
The answer would be 8:3.
Step-by-step explanation:
There are 8 white marbles and 3 green marbles, so you get 8:3. And since 8 and 3 are relatively prime, no simplifying is needed.
The answer is 8:3.
ASAP NOW AND YOULL GET 20 and ILL ANSWER ONE OF URS
Answer:
10/40=70/x
Step-by-step explanation:
mainly because the line is pointing at a
What is the solution to the equation 2(4-3x)+5(2x-3) = 20-5x9
Ox=-13
O x=
Ox=2
Ox=3
13
The solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 2(4-3x)+5(2x-3) = 20-5x+9
x is the variable in the equation.
Plus and minus are the operators
Apply distributive property.
8-12x+10x-15=20-5x+9
Take the variable terms on one side and constants on other side
5x-12x+10x=20-8-15+9
3x=6
Divide both sides by 3
x=2
Hence, the solution of the equation 2(4-3x)+5(2x-3) = 20-5x+9 is 3.
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PLS I HAVE JUST 20 MINS HELP
Answer:
a7 b8
Step-by-step explanation:
The length of a ship is 247 metres, correct to the nearest metre.
Write down the minimum length of the ship.
Answer:
246.50
Step-by-step explanation:
For the following right triangle, find the side length x.
Answer:
x = 17
Step-by-step explanation:
Since its a right triangle, you can use Pythagorean Theorem.
8² + 15² = x² (Given)
64 + 225 = x² (Simplify)
289 = x² (Add like terms)
17 = x (Square root both sides)
Select the correct answer.
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
B. y = 11x - 7 passes through the points (2 , 15) and (3 , 26)
Step-by-step explanation:
Write an integer that represents spending $40
Answer:
-40
Step-by-step explanation:
you are subtracting 40.
Please Help me! 15 Points!
Which expressions are equivalent to 2(b + 3c) ?
A: 3(b+2c)
B: (b + 3c) + (b + 3c)
C: 2(b) + 2(3c)
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step by Step instruction :)))
we have
2 (b+3c)
Distribute the number 2
2(b+3c) = 26 + 2(3c) = 26 + 6c
Verify each case
Case A) 3(b+2c)
distribute the number 3
3(b + 2c) = 36 + 3(2c) = 36 + 6c
3b + 6c is NOT equal to 2b + 6c
therefore
Choice A is not equivalent to the given expression
Case B) (b+3c)+(b+3c)
Combine like terms
b + 3c) + (b + 3c) = (b + b) = 3c + 3c = 26 + 6c
2b + 6c = 26 + 6c
therefore
Choice B is equivalent to the given expression
Case C) 2(b)+2(3c)
Multiply both terms by 2
2(b) + 2(3c) = 2b + 6c
2b + 6c = 26 + 6c
therefore
Choice C is equivalent to the given expression
♡Hope it helps♡
Answer:
B. (b+3c)+(b+3c)
C. 2(b)+2(3c)
Step by Step instructions:
we have
2 (b+3c)
Distribute the number 2
2(b+3c) = 26 + 2(3c) = 26 + 6c
Verify each case
Case A) 3(b+2c)
distribute the number 3
3(b + 2c) = 36 + 3(2c) = 36 + 6c
3b + 6c is NOT equal to 2b + 6c
therefore
Choice A is not equivalent to the given expression
Case B) (b+3c)+(b+3c)
Combine like terms
b + 3c) + (b + 3c) = (b + b) = 3c + 3c = 26 + 6c
2b + 6c = 26 + 6c
therefore
Choice B is equivalent to the given expression
Case C) 2(b)+2(3c)
Multiply both terms by 2
2(b) + 2(3c) = 2b + 6c
2b + 6c = 26 + 6c
therefore
Choice C is equivalent to the given expression
(GIVING BRAINLIEST!!!)
Solve one eighth divided by two equals blank by rewriting it as the multiplication equation one eighth times one half equals blank.
A) 16
B) 1/16
C) 1/10
D) 2/16
Answer:
B) [tex]\displaystyle \frac{1}{16}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{16} = \frac{\frac{1}{8}}{2} \\ \\ OR \\ \\ \frac{1}{8} \div 2 = \frac{1}{8} \times \frac{1}{2} = \frac{1}{16}[/tex]
I am joyous to assist you at any time.
Which component is missing from the process of photosynthesis?
Carbon Dioxide + ________ + Sunlight → Glucose + Oxygen
Light Energy
Sugar
Plants
Water
Answer:
Water i hope it is correct
find the probability of the compound event.
not spinning a 2 and flipping heads
there are 4 sections on the spinner.
Answer:
67
Step-by-step explanation:
Eugene had $24 to spend on three pencils.
After buying them he had $18. How
much did each pencil cost?
2 dollars for each pencil
Answer:
Two dollars each
Step-by-step explanation:
Answer:
6/3 is 2. That's the total cost of each pencil.
Step-by-step explanation:
Simplify. 11 3/4 - 8 1/2 A. 3 1/4 B. 3 1/3 C. 4 1/4
Answer:
A
Step-by-step explanation:
11 3/4 - 8 1/2 = 3 1/4