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.
Learn more about fractions here:
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19 = 4x + 3 *
Plz, help me with this!
Answer:
x=4
Step-by-step explanation:
19 = 4x+3
Subtract 3 from each side
19 -3 =4x+3-3
16 = 4x
Divide each side by 4
16/4 = 4x/4
4 =x
Answer:
x=4
Step-by-step explanation:
19= 4x+3
19-3= 4x
16= 4x
x= 16/4= 4
x= 4
hope it helps! please mark me brainliest
thank you!! have a good day ahead
(4, 2); slope = 3
write the equation of the line
Answer:
y=3x-10
Step-by-step explanation:
1. An initial population of 10 cats triples every year. How many cats will there be in 5 years? Make a table and
graph your results.
Answer:
150
Step-by-step explanation:
file is graph
Evaluate 6x - 4y when x = 5, y = 2
Answer:
22 i think :-) but I'm not sure because it was really easy so I'm not sure if understood this right
Step-by-step explanation:
6.x=
6.5=30
4.y=
4.2=8
6.5=30 4.2=8
30-8=22
Please help me I'm really confused on how you figure these out
Answer:
i think it is not related
Step-by-step explanation:
hope this helps <3
The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
7 units
7 StartRoot 2 EndRoot units
14 units
14 StartRoot 2 EndRoot units
Answer:
7 units
Step-by-step explanation:
Given is a 45°-45°-90° triangle.
Measure of Hypotenuse = 7 StartRoot 2 EndRoot units.
In a 45°-45°-90° triangle, measures of perpendicular legs is one upon square root 2 times of the measure of Hypotenuse.
[tex] \therefore \: measure \: of \: one \: leg \\ \\ = \frac{1}{ \sqrt{2} } \times 7 \sqrt{2} \\ \\ = 7 \: units[/tex]
Answer:
A. 7 units 2021 edg
Step-by-step explanation:
–7 y = –28
Answer:
y = ?
Answer the ? Mark pls
Answer:
y=4
Step-by-step explanation:
-28 divided by -7 equals to 4
Hope this helps!!
Answer: y = 4
Step-by-step explanation:
-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.
If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?
Answer:
$3.04 (rounded to nearest cent)
Step-by-step explanation:
Total cost without tax = $18 + $9.99 × 2
= $37.98
Tax = [tex]\frac{8}{100}[/tex] × $37.98
= $3.04 (rounded to nearest cent)
Group of answer choices
24
25.7
28.1
29.8
Answer:
b i think
Step-by-step explanation:
does the graph represent a function?
Please help it It is in photo
Answer:
its the second i hope that helped
Can i have some help please
Answer:
bababooey
Step-by-step explanation:
HELP PLS ill mark u brainliest
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
The population of a city is expected to decrease by 6% next year. If x represents the current population, write an expression that represents the expected population next year.
Given:
Current population = x
The population of a city is expected to decrease by 6% next year.
To find:
The expression that represents the expected population next year.
Solution:
We have,
Current population = x
Decrease rate = 6%.
Expected population next year = Current population - 6% of Current population
=[tex]x-\dfrac{6}{100}x[/tex]
=[tex]x-0.06x[/tex]
=[tex]0.94x[/tex]
Therefore, the expression for the expected population next year is 0.94x.
9 ,6 ,3, 0, -3, -6
b) Work out, in terms of n, the nth term of the sequence.
4 months to 8 years in ratio
Answer:
4:96
Step-by-step explanation:
It has to be the same kind of thing so...
1 year is 12 months
8 * 12 = 96
Answer:
4 months : 8 years
reduced...
1 month : 2 years
Step-by-step explanation:
HELP ILY A tree is 4 1/2 feet tall. It is expected to grow by 1 3/4
feet per year.
At this growth rate, how many years will it take for the tree to have a height greater than 40 feet? Enter the answer in the box.
years
Answer:
It will take 21 years.
Step-by-step explanation:
First, find what x would be for it to equal 40 feet. This can be done with the equation 4.5 + 1.75x = 40.
4.5 + 1.75x = 40
Subtract 4.5 from both sides. This cancels out the +4.5.
1.75x = 40 - 4.5
Subtract 4.5 from 40 to get 35.5.
1.75x = 35.5
Divide both sides by 1.75. This cancels out the *1.75.
x = 35.5/1.75
Expand 35.5/1.75 by multiply both the numerator and denominator by 100.
x = 3550/175
Reduce 3550/175 by canceling out 25.
x = 142/7 = 20 2/7
Go up by one from 20 to get the answer of 21 years.
Express in the form n : 1
9:3
Answer:
n =3
hope it helps
Answer:
3:1
Step-by-step explanation:
cut by 3
..............
yall please help me with this math question :/
Find X.
Math it’s.com
Answer:
value of x = 8
Step-by-step explanation:
well here,
line x is parallel to the line measuring 18
so the two triangles are similar to each other
hence ratio of their sides are equal
so 6/ 12 = x/ 16
=》1/2 = x/16
=》 x = 16 / 2
=》 x = 8
i hope u got it
have a nice day
Answer:
x = [tex]\frac{16}{3}[/tex]
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{x}{16}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{x}{16}[/tex] ( cross- multiply )
18x = 96 ( divide both sides by 18 )
x = [tex]\frac{96}{18}[/tex] = [tex]\frac{16}{3}[/tex]
pls help you i’ll give brainliest
The answer is 6+(-4) = 2
Answer:
2
Step-by-step explanation:
it's just like saying 6-4 is two a negative is like a positiveThe height of the roof will be 9 feet instead of 5 feet. Determine the length, in feet of the diagonal wood beams on the new roof. Find the leg. a^2 + 9^2=13^2
Answer:
√88
Step-by-step explanation:
a^2 + 9^2=13^2
a² = 13² - 9²
a² = 169 - 81
a² = 88
Take square root of both sides
a = √88
how do you differentiate more and more than? can these terms be used in mathematics? how?
Answer:
The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.
Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.
5x-3 =2x+15
Someone pls help for geometry
Answer:
x = 6
Step-by-step explanation:
5x-3 = 2x+15
i) move 2x to the left-hand side and change its sign5x-2x-3 = 15
ii) move -3 to the right-hand side and change its sign5x-2x = 15+3
iii) collect like terms3x = 15+3
iv) add the numbers3x = 18
v) divide both sides of the equation by 3[tex] \frac{3x}{3} = \frac{18}{ 3} [/tex]
[tex]x = 6[/tex]
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
Multiple Choice
Which of the following represents a unit rate?
A. four dollars over twelve books
B. five pages over two minutes
C. eighty beats over one minute
D. seventy two inches over two yards
Answer:
c
Step-by-step explanation:
unit rate is a rate with one in the denominator
What is true about 3×9, guys can you help I a little confused
Answer:
27
Step-by-step explanation
have a great day
Answer:
3*9=27
Step-by-step explanation:
The thing that is true about 3*9 is that it is also equal to 9*3.
Hope this helped!! :)
3x+18=3(x+6)please help
Answer: X = 4
Step-by-step explanation: Move all the terms besides X to the right side, from there you will divide each term by 3 then simplify.
15 divided by 1/9 please i just need 15 divided by 1/9
Answer:
135 :)
Step-by-step explanation:
15 divided by 1/9 is equal to 135.
We have,
When dividing fractions, we can invert the second fraction (1/9) and multiply it by the first fraction (15).
This concept is known as "invert and multiply."
By multiplying 15 by the reciprocal of 1/9, which is 9/1, we effectively perform the division operation and obtain the result.
Now,
To divide 15 by 1/9, we can rewrite the division as a multiplication by the reciprocal of the second fraction.
15 ÷ (1/9) is the same as 15 * (9/1).
Multiplying these fractions, we get:
15 * (9/1) = 135/1 = 135.
Therefore,
15 divided by 1/9 is equal to 135.
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Determine whether or not the function is linear or nonlinear.
Answer:
Nonlinear
Step-by-step explanation:
This line is not straight so it's not linear.
Linear is a straight line.
nonlinear is any line that's not straight.
Ace Carlos
