Mr. Rao's gas tank holds up to 1718 gallons of gas. It took 12.65 gallons of gas to fill his tank.
How many gallons of gas did Mr. Rao have in his tank before he filled it?
Enter your answer as a decimal or as a mixed number in simplest form in the box.
gal
Answers
4.475 or 4 19/40 gallons
How?
12.65=253/20
253/20= 12 13/20
////////
I need a similar denominator of 12 13/20 and 17 1/8.
12 13/20×2/1= 12 26/40
17 1/8×5= 17 5/40
17 5/40-12 26/40= 4 19/40
Therefore,
the answer is 4 18/40 gals
Answer:
4 19/20
Step-by-step explanation:
17 1/8 - 12 13/20 = 4 19/20
Related Questions
Two systems of equations are shown: System A System B 6x + y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 Which of the following statements is correct about the two systems of equations? The value of x for System B will be 4 less than the value of x for System A because the coefficient of x in the first equation of System B is 4 less than the coefficient of x in the first equation of System A. They will have the same solution because the first equations of both the systems have the same graph. They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 4 times the second equation of System A. The value of x for System A will be equal to the value of y for System B because the first equation of System B is obtained by adding −4 to the first equation of System A and the second equations are identical.
Answers
Answer:
well i dont know this sorry
Step-by-step explanation:
STUDY TIP 1
Don't do all your studying the night before. Instead spread it out, review class materials several times a week, and focus on one topic at a time.
FOLLOW FOR MORE TIPS !!!
Answers
Answer:
THANK U!
FOR THE TIP.
HAVE A GREAT DAY!
Here you go. 29-28+28+11-11=?
Answers
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
29-28=1
1+28=29
29+11=40
40-11=29
Thank you for this challenge that was half the challenge of a challenge........
Better hope you stay up long enough to see the animatronics. :)
Anu and Aji solve an equation. In solving Anu commits a mistake in constant term and finds the roots 8 and 2. Aji commits a mistake in the coefficient of x. The correct roots are (a) 9,1 (b)-9,1 (c) 9, -1 (d) -9.-1
Answers
The correct roots of the equation are (a) 9 and 1
From the complete question, their mistakes are:
Anu
Roots: 8 and 2Wrong constant termAji
Roots: -9 and -1Wrong coefficientA quadratic equation is represented as:
[tex]ax^2 + bx + c = 0[/tex]
Where:
[tex]\alpha\beta = \frac ca[/tex] --- product of roots
[tex]\alpha + \beta = -\frac ba[/tex] --- sum of roots
Anu made a mistake in the constant term, so we consider the sum of roots
[tex]Sum = 8 + 2[/tex]
[tex]Sum = 10[/tex]
Aji made a mistake in the coefficient, so we consider the product of roots
[tex]Product = -9 \times -1[/tex]
[tex]Product = 9[/tex]
The possible equations from the above sum and products are:
[tex]x^2 + 10x + 9 =0[/tex].[tex]x^2 - 10x + 9 =0[/tex].[tex]x^2 + 10x - 9 =0[/tex].[tex]x^2 - 10x - 9 =0[/tex]Of all the above equations, the most likely equation is [tex]x^2 - 10x + 9 =0[/tex], and it has a root of 9 and 1
Hence, the correct roots are (a) 9 and 1
Read more about roots of equations at:
https://brainly.com/question/3923172
HELP ASAP NO LINKS PLS (OR THEY WILL BE REPORTED) SIMPLE ANSWER PLS
Give two systems of equations that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
Answers
Answer:
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Step-by-step explanation:
Just to add a bit more information, "Elimination" Can have a variety of other interpretations. Elimination techniques typically refer to 'row reduction' to achieve 'row echelon form.' Do not worry if you have not heard of these terms. They are used in Linear Algebra when referring to "Elimination techniques"
Gaussian Elimination
Gauss-Jordan Elimination
LU-Decomposition
QR-Decomposition
These techniques for elimination are preferred for 3rd order systems and higher. They use "Row-Reduction" techniques/pivoting and many subtle math tricks to reduce a matrix to either a solvable form or perhaps provide an inverse of a matrix (A-1)of linear equation AX=b. Solving systems of linear equations (n>2) by elimination is a topic unto itself and is the preferred method. As the system of equations increases, the "condition" of a matrix becomes extremely important. Some of this may sound completely alien to you. Don't worry about these topics until Linear Algebra when systems of linear equations (Rank 'n') become larger than 2.
Substitution is the preferred method for 2 equations in 2 unknowns. The constants are unimportant other than having a non-zero determinant. It is always easy to find multiplicative factors using LCMs of one variable or the other to allow substitution into the other equation:
Example:
4X + 5Y = 9
5X - 4Y = 1
Notice that 20 is a LCM of either the X or Y variable. So multiply the first by 4 and the second by 5 and then adding the two (Y's will drop out allowing for substitution)
4(4X + 5Y = 9)
5(5X - 4Y = 1)
Multiplying to produce the LCM factors:
16X + 20Y = 36
25X - 20Y = 5
Adding the equations
41X = 41
X = 1
Substitution into either equation yields
Y = 1
Elimination techniques are preferred for Rank-n>3
Answer:
I like the view
how do i tell if an angel is comolentery, supplmentsry, or neither? I was not at school the day they showed me this?
Answers
Answer:
supplementary angles - two angles are supplementary when they add up to 180 degrees (a straight line)
complementary angles - two angles are complementary when they add up to 90 degrees (a right angle)
hopefully this helps! :)
Answer:
1. complementary
2. neither
3. supplementary
4. complementary (x = 6)
10x + 30 = 90 x + 3 = 9 x = 6
5. supplementary (x = 20)
4x + 40 + 3x = 180 7x = 140 x = 20
6. x = 50.5
2x + 79 = 180 2x = 101 x = 50.5
Step-by-step explanation:
When the measurement of the angles adds up to 90 degrees, the angles are complementary. When the sum of the angles is 180 degrees, then they are supplementary.
Given the function f(x)=|x|, if the function is shifted 0.5 units down, then shifted 3 units left, and reflected over the y-axis, what is the equation of the new function
Answers
Answer:
f(x) = |x - 3| - 0.5.
Step-by-step explanation:
).5 units down gives |x| - 0.5
3 units to the left gives |x + 3| - 0.5
Reflection over the y-axis gives |x - 3| - 0.5.
What’s the slope of a line that goes through (0,2)(7,5)
Answers
Answer:
slope = 3/7 or 0.43
Step-by-step explanation:
use the slope(gradient) formula
evaluate f*ds where f = <3xy^2,3x^2y,z^3> and m is the surface of the sphere of radius 5 centered at the origin
Answers
The value of f.ds = 20π.
What is Flux?The quantity of electric or magnetic field lines that flow across a surface in a specific period of time is known as flux. Field lines offer a way to visualise the size and direction of the field under study.
Given:
f = <3xy²,3x²y,z³>
Using Divergence Theorem
P= 3xy²
Q= 3x²y
R = z³
So, dP/ dx= 3y²
dQ/ dy = 3x²
dQ/ dz = 3z²
So, [tex]\int\limits\int\limits\int\limits dV[/tex]= [tex]\int\limits\int\limits\int\limits (dP/ dx + dQ/dy+ dR/dz)[/tex]
= [tex]\int\limits\int\limits\int\limits[/tex] (3y² + 3x² + 3z²)
= [tex]\int\limits\int\limits\int\limits[/tex] 3 (y² + x² + z²)
Since the radius is 5.
= [tex]\int\limits\int\limits\int\limits[/tex] 3(5)
= 15 [tex]\int\limits\int\limits\int\limits[/tex] dV
= 15 (4/3)π
= 20π
Learn more about flux here:
https://brainly.com/question/14527109
#SPJ5
Use long division to find the quotient below.
(10x^3 - 19^2 - 2x + 12) / (2x-3)
Answers
answer:
B
Graph the image of the polygon after a reflection in the line y= −x.
Answers
Answer:
If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).
Step-by-step explanation:
Since you didn't provide an image of the polygon I can't give you a direct answer but this is how you do it.
C= 5 by 9 (F − 32)where F is the temperature in °F and C is the temperature in °C. Convert the temperature −10℉ into ℃ .Give your answer to 2 d.p.
Answers
Answer:
-23.33 °C
Step-by-step explanation:
C = 5/9 (-10 - 32)
C = 5/9 (-42)
C = -23.3333 ≈ -23.33 °C
hope it helps :)
mark brainliest!
what is 7.5% as a fraction
Answers
Answer:
15/2
Step-by-step explanation:
hope it helps (•‿•)
Need help ppl keep givin me links
Answers
Answer:
∠DAB=140
∠BAC=60
∠EBF=40
∠ACB=80
∠BCG=100
Step-by-step explanation:
Solve for x:
7 |x - 2| + 7 = -2 |x - 2| + 2
Answers
Answer:
It is a fraction -5/9
Step-by-step explanation:
Simplify
4^33 8^37
—————-
4^15 8^21
A. 4^18 8^58
B. 4^18 8^16
C. 8^48 16^58
D. 16^18 64^16
Answers
Answer:
A
Step-by-step explanation:
Write the following expression as a sum and/or difference of logarithms. Express powers as factors.
log_b (u^9v^4) u>0, v> 0
Answers
Answer:
9log_b(u)+4log_b(v)
should be like that. let me know if iam wrong
Please help me !!
Nine more than eight times a number (x) is at least forty-nine
What’s the inequality & the solution to the inequality is ..
Answers
Answer:
x = 5.
Sorry if you didn't mean find x and I have no idea about the inequality stuff.
Step-by-step explanation:
We can do a reverse equation in steps. So the first thing we'll do is..
49 - 9 which equals 40.
Then we should do a division since the opposite of multiplication is division.
40 divided by 8 = 5.
To check that we do 5 x 8 = 40 + 9.
Hope that helps. x
Answer:
See below
Step-by-step explanation:
9 + 8x [tex]\geq[/tex] 49
Subtract 9 from both sides
8x [tex]\geq[/tex] 40
Divide by 8
x [tex]\geq[/tex] 5
what's the difference between (F(x))^2 and F^2(x) ?
Answers
Answer:
f^2(x) means f(f(x)). [f(x)]^2 means the square of the function.
Step-by-step explanation:
I am sorry to say so, but the other answer is rubbish.
there is no difference.
both mean the same thing : f(x) × f(x).
f(f(x)) is exactly what that expresses (f of f(x)).
another way of writing for this would be (f○f)(x).
but never ever f²(x).
please ignore the other answer.
Please help guys this is just domain and range
Answers
Answer:
domain: x>=0
range: y>=1
Step-by-step explanation:
domain: x>=0
range: y>=1
Which theorem would be used to prove the triangles below as congruent?
A: HL
B: SSS
C: ASA
D: AAA
Answers
Answer:
A: HL
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Answer:
A
Step-by-step explanation:
The hypotenuses of these right triangles are marked congruent.
One leg of these right triangles is marked congruent.
The HL theorem applies.
Maya’s bird feeder holds 1/2 of a cup of bird seed. Maya is filling the feeder with a scoop that hold 1/6 of a cup of birdseed how many scoops will maya put into the feeder
Answers
Answer:
3 scoops
Step-by-step explanation:
If the bird feeder holds 1/2 cup, and Maya is filling it with a scoop that holds 1/6 cup of birdseed, then Maya will need 3 scoops of the 1/6 cup scoop.
1/6 + 1/6 + 1/6
= 3/6
= 1/2
When Bill bought a marigold plant, it was 1 1/4
inch tall. After the first week, it measured 2 inches tall. After the second week, it was 2 3/4
inches. After week 3, it was 3 1/2 inches tall.
Answers
don't worry i help you now
Step-by-step explanation: Let's come up with points that would be on the graph of a str. line:
(0, 1/4), (1, 1 1/12), (2, 1 11/12), (and so on).
Assume that this is a line, a str. line, and not a curve.
The slope of this line is
1 11/12 - 1 1/12
m = ------------------------ = 10/12, or 5/6.
2 - 1
We now have the slope and y-intercept: slope = m = 5/6; intercept = 1/4.
The line is then y = (5/6)x + 1/4.
To answer this question, substitute 4 for x and calculate y:
y = (5/6)(4) + 1/4 = 20/6 + 1/4 = 40/12 + 3/12 = 43/12 inches.
That's 3 7/12 inches.
i think that may help you
Sam currently 100 followers on TikTok, and gains 8 subscribers a week. Alex currently has 220 followers, and gains 3 followers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Sam and Alex have the same number of subscribers? (1 point)
Part C: How many subscribers will Sam and Alex have when their subscriber count is equal? (1 point)
Answers
Part A: The system of equations to shows each person's subscribers is:
S = 100 + 8x
A = 220 + 3x
Part B: Sam and Alex will have the same number of subscribers after 24 weeks
Part C: Sam and Alex will have 292 subscribers when their subscriber count is equal
Let the number of weeks be x
The initial number of followers that Sam has = 100
Sam gains 8 subscribers every week
Let the total number of subscribers that Sam has be S
The equation that represents Sam's total subscribers is:
S = 100 + 8x..................(1)
The initial number of followers that Alex has = 220
Alex gains 8 subscribers every week
Let the total number of Alex's subscribers be A
A = 220 + 3x....................(2)
If Sam and Alex have the same number of subscribers:
S = A
100 + 8x = 220 + 3x
8x - 3x = 220 - 100
5x = 120
x = 120/5
x = 24
Sam and Alex will have the same number of subscribers after 24 weeks
To find the number of subscribers that Sam and Alex will have when their subscriber count is equal, substitute x = 24 into equation (1)
S = 100 + 8x
S = 100 + 8(24)
S = 292
Sam and Alex will have 292 subscribers when their subscriber count is equal
Learn more here: https://brainly.com/question/25898415
PLEASE HELP SOON!!!!!!!!!!!!!!!
Answers
Answer:
35
Step-by-step explanation:
10 - (-20) turns into 10+20 and 8+(-3) is just 8-3
Answer:
Step-by-step explanation:
remove brackets
8-3+10+20=35
PLEASE HELP ME ASAP this is very important to me IT WILL RAISE MY GRADE and if you help me god bless you
Answers
Answer:
option 4
Step-by-step explanation:
(y intercept and negative slope)
SOLVE
x + 3y = -1
y = x - 7
Write the solution below.
Answers
Answer:
x= 5 ........................ .......
please help me asappp :D
ty :)
Answers
Answer:
5x + 8y = 24
Step-by-step explanation:
Multiply the equation 8
8 ( y = -5x/8 + 3 )
8y = -5x + 24
5x + 8y = 24
Please help!!
I have to find the slope of the blue line on the graph
Answers
Answer:
2
Step-by-step explanation:
Using points (0,0) and (2,4)
slope= (y2 - y1)/(x2 - x1)
= (4-0)/(2-0)
= 4/2
= 2
Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.
The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.
a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.
b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.
Answers
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n