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:
https://brainly.com/question/24370499
#SPJ2
write a linear equation to model the situation. you have walked 4 miles on a trail. you continue to walk at a rate of 3 miles per hour for h hours.
Answer:
[tex]y= 4 + 3h[/tex]
Step-by-step explanation:
Step one:
Given data
We are given that the initial distance walked is 4 miles
Also, the rate/ speed with which you are currently walking is 3 miles per hour
let the time taken be hours
and let the total distance be y
Step two:
We want to write an expression for the total distance
The total distance is given as
[tex]y= 4 + 3h[/tex]
6x + 10 = - 2y
y=mx+b
Answer:
y = -3x - 5
Step-by-step explanation:
-2y = 6x + 10
divide both sides by -2
y = -3x - 5
Solve 3(5x-4) < 15x
O. X < 4
O no solution
O x > -4
O all real numbers
Answer:
All real numbers
Step-by-step explanation:
3(5x - 4) < 15x
~Distribute left side
15x - 12 < 15x
~Subtract 15x to both sides
-12 < 0
Best of Luck!
Can someone help me with this question. Will mark brainliest.
Answer:
Choice 2
Step-by-step explanation:
Ask a friend or older sibling, they always have the answer (Not really)
Are the ratios 5:4 and 17:12 equivalent?
Answer:
yes
Step-by-step explanation:
These fractions are equivalent because they can be divided by the same number... i think
Kwan has determined that he can use the expression 2(n+1)−3 to find the number of squares for any step number n. Find an equivalent expression that Kwan can also use. I need help
Answer:
the answer is 2n-1
Step-by-step explanation:
Answer: 2n-1
Step-by-step explanation:
1)-9+6h > 39
solve each inequality
Answer:
H < 8
Step-by-step explanation:
-9+6h>39
Add 9 to the -9 and the 39
6h>48
Divide the 6 and the 48 by 6, then flip the > to a <
h = 8
I hope this helps you out!
.
Charlie has 6 more quarters than dimes in a jar and a total of $9.20. Which system of
equations can be used to determine the number of each type of coin Charlie has if
q=the number of quarters and d = the number of dimes?
Answer:
Addition.
Step-by-step explanation:
you can just use that to figure out how many coins he has. he has a 1.75 add 9.20 and i think thats your answer
Alicia, Quentin, and Rosalyn are siblings. Alicia is the oldest sibling. Quentin is four years younger than Alicia. Rosalyn is two years older than Quentin. The sum of the siblings’ ages, in years, is 48. How old is Alicia?
Answer:
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Step-by-step explanation:
Let the age of Alicia be x
Let the age of Quentin be y
Let the age of Rosalyn be z
If the sum of the siblings’ ages, in years, is 48 then;
x+y+z = 48.... 1
If Rosalyn is two years older than Quentin then;
z =y+2 ..... 2
Also if Quentin is four years younger than Alicia then;
y = x-4 ... 3
From 3:
x = y+4 ... 4
Substitute 2 and 4 into 1 to have:
y+4+y+y+2 = 48
3y + 6= 48
3y = 48-6
3y= 42
y = 14
Since x= y+4
x = 14+4
x = 18
Since z = y+2
z = 14+2
z = 16year
This means that;
Alicia is 18years
Quentin is 14years
Rosalyn is 16years
Term of the arithmetic sequence 12, 10, 8
Answer:
[tex]\mathtt{\huge\star{\pink{\underline{ 12,\: 10,\: 8,\: 6,\:4,\:2,\:-1,/:-3........ infinite }}}}\huge\star[/tex]
Jessica is packing books for her move She has 93 books. Each box can fit 6 books. How many boxes does she need to move all of her books? (Long division please)
Answer:
16
Step-by-step explanation:
93:6=15.5 As the box can't be half so 16 boxes. In 15 she will pack in each 6 books and in other box 3 books
Answer:
She will need 16 boxes with space for 3 more books
Step-by-step explanation:
Which expression uses the associative property to make it easier to evaluate 14(1/7x2/5)?
A. (14x1/7)2/5
B.7(1/14x2/5)
C.(14x5/2)1/7.
D.14(2/5x1/7)
Answer:
A
Step-by-step explanation:
Associative property:
(a+b)+c=a+(b+c)
(a*b)*c=a*(b*c)
3^(4x-5) = (1/27)^(2x+10) show your work
Answer:
3^4x-5=1/27^2x+10
We move all terms to the left:
3^4x-5-(1/27^2x+10)=0
Domain of the equation: 27^2x+10)!=0
x∈R
We get rid of parentheses
3^4x-1/27^2x-10-5=0
We multiply all the terms by the denominator
3^4x*27^2x-10*27^2x-5*27^2x-1=0
Wy multiply elements
81x^6-270x^2-135x^2-1=0
We do not support expression: x^6
Step-by-step explanation:
This year is snowed on five of the 12 Days of Christmas! The snowfall amounts were 2
inches, 5 inches, 3 inches, 1 foot and 9 inches. What was the mean amount of snow for
the 12 days? Round your answer to the nearest
Answer:
Itz 35 i tink
Step-by-step explanation:
umm i god at mafh
In the diagram if AE = AB, find the area shaded.
Answer:
Area shaded = 60 [tex]cm^{2}[/tex].
Step-by-step explanation:
From the given diagram,
Area shaded = Area of the trapezoid EBCD
Given that: AE = [tex]\frac{1}{3}[/tex]AB
= [tex]\frac{1}{3}[/tex] x 12 (∵ AB = CD = 12 cm)
= 4 cm
AE = 4 cm,
Thus,
EB = (12 - 4) cm
= 8 cm
EB = 8 cm
Area shaded = [tex]\frac{1}{2}[/tex] (EB + CD) x AD
= [tex]\frac{1}{2}[/tex] (8 + 12) x 6
= (20) x 3
= 60
Area shaded = 60 [tex]cm^{2}[/tex]
Missing numbers on the number line
The blue dot is at what value on the number line?
+
+
7
+
7
9
Delatedcantant
Answer: i can’t really see but if you count backwards from 9 by 1 the answer is 3
Step-by-step explanation:
Find the inverse of function f.
$() = 9x + 7
OA /--) = 7x + 9
OB. 1 (1) = = -1
Oc. 7-1() = -98
OD. () = gr - 1
7
Answer:
C) f-1(x) = -9x - 7 the inverse of multiplication is division
there is a proportional relationship between time in hours and time in days.
A) what is the constant of proportionality?
B) what equation describes this relationship?
Answer:
maybe B because this answer fits the question more for me
I can't help you because I'm also stuck on this question for mathematics in middle school, and it's hurting my brain just trying to figure it out :[
Find the x- and y-intercepts of
3x – 4y = 24
Will give brainliest to a good explanation and some strong evidence to back it up (i rlly need help)
please help me im so confused
Answer:
ijrrrrrrrrrrrrg to 19399
Step-by-step explanation:
Answer:
Its a because volume is equal to length times width time height and that answ choice is the only one that provides this correct statement
Please help me with question 4 thank you !!
Answer:
b) similar by SSS theorem
Step-by-step explanation:
A TV programme begins at 7:45 p.m. and ends 50 minutes later
At what time does it finish?
A TV programme begins at 7:45 p.m. and ends 50 minutes later.At 8:35 pm time it will finish.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that a TV programme begins at 7:45 p.m. and ends 50 minutes later.
Addition is one of the fundamental mathematical operations we utilize on a daily basis. We employ addition of numbers in a variety of contexts. Working with time or money, such as adding up bills and receipts, is one of the most frequent daily uses for adding numbers.
We have to apply the addition operation by splittiong the time as,
=7:45 p.m + 50 minute
=7:45 p.m + 15 minute + 35 minute
=8:00 pm + 35 minute
=8:35 pm
Thus, a TV programme begins at 7:45 p.m. and ends 50 minutes later.At 8:35 pm time it will finish.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Order from least to greatest.
0.387; 0.3; 0.783; 0.837
please help with this
Answer:
obtuse angles
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
b
A trumpet cost $234.36 after tax. The price was $217 before tax. What was the percent of sales tax charged?
Need this very badly giving 10 points
Answer:
A is your answer
Step-by-step explanation:
width= 9 cm
length= 5 cm
height= 20cm
formula: 2(lw+lh+hw)
2(5*9+ 5*20+ 20*9)
2(45+ 100+ 180)
2(325)= 650 cm
Simplify: −5(−4) + 13 =
Answer:
33
Step-by-step explanation:
-5(-4)= 20
20+13=33
BRAINLEST TO WHOEVER
X= ?
Answer:
11.4
Step-by-step explanation:
15 divided by 5= 3 so ABC is 3 times bigger than EFD. you times 3.8 by 3 to get your answer. I hope this helps!!