Answer:
The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]
Step-by-step explanation:
Rena spent 6 days reading her book completing the same fraction of the book every day and you want to know the fraction of the book she read each day. Knowing that Rena had a total of 8/9 of her book read after 6 days, then you simply divide the total amount of the book read during those days by 6, the number of days:
[tex]\frac{8}{9}[/tex]÷6
To divide a fraction by a whole number, you must convert the whole number into a fraction, finding the reciprocal of that fraction, and multiply it by the first fraction. That is, you must find the reciprocal of the number that is after the division symbol; and then you multiply the first number (the one before the division symbol) by the reciprocal of the second number (the one after the division symbol). Remember that to find the reciprocal of a number, you simply have to change the numerator and denominator of the number.
Since 6 can be considered to be a fraction equal to [tex]\frac{6}{1}[/tex], by inverting the number, then you get [tex]\frac{1}{6}[/tex]
Then:
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}[/tex]
Now you multiply the numerators and denominators of the fraction to get the new numerator and denominator of the final solution.
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}[/tex]
Finally, simplifying the fraction:
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{8}{9} *\frac{1}{6}=\frac{8*1}{9*6} =\frac{8}{54}=\frac{4}{27}[/tex]
So:
[tex]\frac{8}{9}[/tex]÷6= [tex]\frac{4}{27}[/tex]
The fraction of the book that Rena read every day is [tex]\frac{4}{27}[/tex]
11 points Please answer quick.
Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
show your calculation
If you don't know don't answer.
If you do it I will report the answer.
Answer:
[tex]\boxed{x^4 + x^2 + x}[/tex]
Step-by-step explanation:
[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]
[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]
[tex]= x^4 + x^2 + x[/tex]
.
Happy to help :)
The length of the day in Lagos, Nigeria (in minutes), t days since the beginning of the year can be estimated by
this formula:
L(t) = 727+22 sin
26(t - 80.75)
365
When is the longest day of the year? Give an exact answer.
days since the beginning of the year
Answer:172 days
Step-by-step explanation:
what is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x +3.8?
A. y=1.2x-6
B. y=-1.2x+6
C. y=1.2x+5
D. y= -1.2x-5
Given:
Equation of line is
[tex]y=1.2x+3.8[/tex]
To find:
The equation of line that passes through the point (5, 0) and parallel to the given line.
Solution:
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
On comparing the given equation [tex]y=1.2x+3.8[/tex] with the slope intercept form, we get
[tex]m=1.2[/tex]
So, slope of given line is 1.2.
Slope of parallel lines are same. So, slope of required line is 1.2.
The required line passes through (5,0) having slope 1.2. So, the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope of the line.
[tex]y-0=1.2(x-5)[/tex]
[tex]y=1.2x-1.2(5)[/tex]
[tex]y=1.2x-6[/tex]
Therefore, the correct option is A.
Which is the solution to the inequality?
25 <0-
8
15
O b<2
15
o b>216
b <3 77
o b<
06-377
Answer:
cccccccc ccccccccccccc
What percent is represented by the shaded area khan academy
Answer:
32%
Step-by-step explanation:
For example, 32% is equal to 32÷100. As a decimal, this number is 0.32
in the figure lines l and m are parallel lines cut by transverse p
Answer:
The correct answer is:
Option C: Corresponding angles are congruent.
Step-by-step explanation:
Given that l and m are two parallel lines and the transversal p intersects them. When a transversal intersects two parallel lines, 8 angles are formed which are named based on their positions.
The angles which are on one side of the transversal and are in matching corners are called corresponding angles.
In the given diagram, ∠2 and ∠3 are in the matching corner so they are corresponding angles.
In case of parallel lines, corresponding angles are congruent.
So,
If Andrea is saying that ∠2 and ∠3 have same measurement then its correct because they are corresponding angles.
So,
The correct answer is:
Option C: Corresponding angles are congruent.
Answer:
m∠2 = m∠3 because Corresponding angles are congruent ⇒ C
Step-by-step explanation:
In the given figure
∵ Line l and line m are parallel
∵ Line p is the transversal
∵ ∠2 is over the line l
∵ ∠3 is over the line m
∵ ∠2 and ∠3 are on the same side of the transversal p
∴ ∠2 and ∠3 are corresponding angles
∵ Corresponding angles are equal in measures
∴ m∠2 = m∠3
∵ m∠2 = 40°
∴ m∠3 = 40°
∴ m∠2 = m∠3 because corresponding angles are congruent
the volume of the sphere is 36000. whats the radius
Answer:
r= 20.48
Step-by-step explanation:
To find the radius of you know the volume, divide both sides of the equation and then evaluate the right side, then take the cube root to find r
(pleaseee tell me if I'm wrong)
Amelia has $2.15 in coins. All of her coins are either quarters or nickels and she has 15 coins in her pile. How many of each coin does she have?
8 quarters and 3 nickels
Step-by-step explanation:
Answer:
7 quarters 8 nickels
Step-by-step explanation:
Last month we had twelve days of either corn or carrots in the cafeteria for lunch. There were six more days of corn than carrots. How many days did we have corn?
Answer:
9 days
Step-by-step explanation:
Given that:
Days whereby there was either corn or carrot = 12 days
There are 6 more days of corn than carrot.
How many days did we have corn?
Let Number of days we had carrot = x
Hence,
Number of days we had corn = x + 6
Total number of days we had either of the two = 12
Hence,
x + (x + 6) = 12
2x + 6 = 12
2x = 12 - 6
2x = 6
x = 6/2
x = 3
Number of days we had corn = x + 6 ;
Hence,
3 + 6 = 9
hey can someone please help me or help me understand
This will sound stupid search up identifying corresponding angles calculator it should help i use one all the time.
What is the least common denominator of the equation 3/4(x-3)-1/2=2/3
О2
9
12
36
Answer:
C: 12
Step-by-step explanation:
Edge 2020
What answer is correct? The audio is just reading the question.
Answer:
its 7
Step-by-step explanation:
Answer:
The answer is A) 2.
Step-by-step explanation:
9 = -2x + 5
4 = -2x (subtracted 5 from both sides.)
2 (add -2 to both sides.)
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!
Answer:
D
Step-by-step explanation:
Since it’s asking for numbers between -1 and 8 the equation cannot contain a equal symbol therefore it must be D
Help me pleaseeeeeeeeeeeee
Answer:
i think it is b but I can be wrong
Answer:
Its B sorry if im wrong im 75% sure its b tho
Step-by-step explanation:
<3
How many solutions does the equation -3(2x+5)=-15 have?
Answer:
Step-by-step explanation:
-3(2x+5)=-15
-6x-15= -15
-6x=0
No solutions
Solve for m:
5m - 3= 7m - 13
Answer:
The answer is m = 5
Answer:
m = 5
Step-by-step explanation:
5m - 3= 7m - 13
-2m-3=-13 ........ subtract 7m from both sides
-2m = -10 ......... add 3 to both sides
m = 5 ........ divide both sides by 2 and you get 5
Hope that helps! :)
can you help me answer these questions
you don't have to do them all!
1 > n + 4
b − 2 ≥ −2
e/2< −1
t + 2 ≥ 3
C/-2< −2
Answer:
answers are shown below
A company rents out 18 food booths and 22 game booths at the county fair. The fee for a food booth is $100 plus $5 per day. The fee for a game booth is $80 plus $9 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answer:
(100+5d) + (80+9d)
14d+180
Step-by-step explanation:
I hate doing word problems.
I'm sorry if this was not the answer your looking for.
75 is what percentage of 50?
Answer:
it should be %37.5
Step-by-step explanation:
Homework plug ( who can help me with my homework for 2 weeks) ?
How would you describe
The Riemann Hypothesis
Answer:
One of the hardest math problems ever.
Step-by-step explanation:
In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part. Many consider it to be the most important unsolved problem in pure mathematics.
I need help please..
Answer:
Hi i think its 4 :)
Step-by-step explanation:
Answer: 3 is 39, 4 and 2 are 141.
Step-by-step explanation: since 3 is directly opposite to angle 1, they are equal. same goes for 3 and 4. Also, 3 and 2 create a straight line meaning they ALWAYS will add up to 180. subtract 39 from 180 and you get 141. Hope this helps :)
what is the answer for this equation? 1+5/67-87
Answer:
-86.9
Step-by-step explanation
Hope its right
Answer: -85
Step-by-step explanation:
A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at a basketball game was 30% of attendance at the concert. How many people attended the concert?
Answer:
250 people
Step-by-step explanation:
Since it is mentioned in the question that the number of people who attend the music concert is 250 people
And, the attendance in a basketball game is 30% of concert attendance
Now based on the above information
The people who attended the concert is 250 people as it is already given in the question that 250 people attended the music concert
What is the decimal equivalent of 13/16
Answer:
0.8125
Step-by-step explanation:
To convert a fraction to a decimal, divide the numerator by the denominator.
~theLocoCoco
please help out i would appreciate it
Answer:
The answer is D! trust
Step-by-step explanation:
The length of a rectangle is (x+3) inches long,and the width is 3⅖ inches.If the area is 15 3/10 square inches,write an equation to find the lenght of rectangle
Answer:
(x + 3) = 9/2
Step-by-step explanation:
Here, we want to write an equation to find the length of the rectangle
Mathematically;
Area of rectangle = length * breadth
15 3/10 = (x + 3) * 3 2/5
(x + 3) = 15 3/10 divided by 3 2/5
(x + 3) = 153/10 * 5/17
(x + 3) = 9/2
The outside temperature decreases by 7F in 3 1 2hours. Part A How would you represent the temperature change as a unit rate? Express your answer as an integer. Part B If the temperature continues to decrease at this rate, what will be the change in temperature after 5 hours?, i got park a just need part b part a is 7°/3.5 hrs = 2°/hr
Answer:
A) 2f / hour
B) 10 f
Step-by-step explanation:
outside temperature decreases by ; 7 F in 3 1/2 hours
a ) represent temperature change as a unit rate
To do this you will need to represent the temperature change per hour
7 f / 3.5 hours
= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour
b) Temperature change after 5 hours
Δ temperature in 5 hours = temperature change per hour * 5
= 2 F * 5 = 10 F
salma is saving money to buy a gamefar she has saved 16which is one-fourth of the total cost of the gameHow much does the game cost?
Answer:
64
Step-by-step explanation:
if she has 16$ and that's only 1/4 of the money to get that game you wanna multiply 16x4
16x4= 64
What is the value of x in the following equation?
2 (x - 4) + 15 = 21