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
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
A project will take 720 person-days to complete. How many days will it take to complete the project if 5 people work on it?
Emir is ordering theater tickets online for up to four of his classmates for an upcoming show. The ordering fee is $4 and the cost per ticket is $8.
Answer:
y=8x+4
Step-by-step explanation:
I am assuming you are asking for an equation.
Total cost = $8*(number of people) + $4
tyson is 6 feet 2 inches tall. there are 2.54cm in 1 inch. what is tysons height in centimeters?
Answer: Tyson is 188 centimetres tall.
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
Learn more about proportion here:
https://brainly.com/question/1496357
#SPJ3
Prove the following:
1 + cos^2 A = 2 ( cos^4A + sin^4A)
The 2 sides of the equation are not equal; hence, I cannot prove them to be true.
is this a function
Find the domain and range
Answer:
Yes
Domain: 1, -1, 0, -3, 3
Range: 1, -1, 6
Step-by-step explanation:
The domain is in the left oval, the range is in the right oval. To find if its a function you have to make sure the domain (left side) doesn't "cheat". One number in the domain cant have more than one number in the range (right side), BUT (for future reference) the range can cheat. As shown, the right side numbers 1 and 6 have two different arrow pointed at them. As long as the domain doesnt "cheat" it is a function
The table shows the population of a small town over time. The function P = 10,550(1. 1)x models the population x years after the year 2000. A 2-column table with 5 rows. The first column is labeled years after 2000, x with entries 0, 3, 4, 7, 10. The second column is labeled population, P with entries 10,5000; 14,000; 15,500; 20,500; 27,000. For which year would this model most likely be sufficient to make a prediction of the population? 1950 2005 2025 2050.
The population model is most sufficient for 2005 because 2005 is the closest to 2000
The population function is given as:
[tex]P(x) = 10550(1.1)^x[/tex]
From the question, we understand that the population model is for years after 2000.
This means that the model cannot be used for the year 1950; because 1950 is before 2000.
The model can be used for years 2005, 2025 and 2050.
However, it is most sufficient for 2005 because 2005 is the closest to 2000, and the population model can change with time
Read more about population functions at:
https://brainly.com/question/15680851
Answer:
B!
Step-by-step explanation:
f(x) = -3x – 1
g(x) = x2 + 6x – 12
Find: g(f(x))
Find g(f(x)) f(x)=3x^2+6x-4 g(x)=-3x+4. f(x)=3x2+6x−4 f ( x ) = 3 x 2 + 6 x - 4 g(x)=−3x+4 g ( x ) = - 3 x + 4. Set up the composite result function.
What is the scale factor of the
dilation shown?
Answer:
2
Step-by-step explanation:
Which inequality is graphed below
50 POINTS PLEASE HELP FILL IN BLANKS!!!!
An ______ is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. ______ are groups of points that are all graphed close together. A ____ occurs when there are points clustered at two different spots on a scatter plot.
Answer:
Outlier, clusters, and gap in your value.
Step-by-step explanation:
An OUTLIER is a data point that falls away from the rest of the points in a scatter plot. It doesn't seem to fit with the rest of the points. DATA CLUSTERS are groups of points that are all graphed close together. A GAP IN VALUE occurs when there are points clustered at two different spots on a scatter plot.
WILL GIVE BRAINLIEST
y = 2x - 9
y = 1/2x + 3
These two lines are:
parallel
perpendicular
neither
Answer:
neither
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 9 ← is in slope- intercept form
with slope m = 2
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
2 ≠ [tex]\frac{1}{2}[/tex] , then lines are not parallel
2 × [tex]\frac{1}{2}[/tex] = 1 ≠ - 1, then lines are not perpendicular
ITS DUE TMRW!! PLS HELP
What is the value of x in the solution to this system of equations?
5x − 5y = 120
y= −7x + 8
Enter your answer in the box.
Answer:
x = 24 + y
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
Answer:
Step-by-step explanation:
5x − 5y = 120
y= −7x + 8
Use the second equation in the first (eliminates y)
5x − 5(−7x + 8) = 120
5x (+35x -40) = 120
40x -40 = 120
40x = 160
x = 4
----
If x = 4:
y= −7x + 8
y= −7*(4) + 8
y= -28 + 8
y = -20
====
The solution is (4,-20)
can someone help me out plz
Answers:
A = 3
B = -7
C = 3
D = -7
======================================================
Explanation:
You could use the AC method to factor, but I think the method described below is a more efficient way of factoring.
Set the given expression equal to zero and solve for x using the quadratic formula. So the goal is to find the roots for [tex]9x^2-42x+49=0[/tex]
We'll plug in a = 9, b = -42, and c = 49.
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-42)\pm\sqrt{(-42)^2-4(9)(49)}}{2(9)}\\\\x = \frac{42\pm\sqrt{0}}{18}\\\\x = \frac{42+0}{18}\\\\x = \frac{42}{18}\\\\x = \frac{7}{3}\\\\[/tex]
Because the root is x = 7/3, it leads to the factor 3x-7 = 0
Note that we go from x = 7/3 to 3x = 7 after multiplying both sides by 3. Then we subtract 7 from both sides.
It turns out that we have two copies of the identical factor (3x-7) because x = 7/3 is a double root.
So in reality we have the factorization (3x-7)(3x-7) which we can shorten into (3x-7)^2 if we wanted.
Use the box method or FOIL method to expand (3x-7)(3x-7) and you should get 9x^2-21x-21x+49 which simplifies to 9x^2-42x+49. This confirms we have the correct factorization.
Therefore, A and C are both 3, while B and D are both -7.
solve similar triangles (advanced)
Answer:
x = 9/4
Step-by-step explanation:
Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.
AB/BC = CG/GE
x/1 = 9/4
x = 9/4
_____
Additional comment
Using the given triangles, you can write the proportion statement as ...
(9+x)/x = 5/1
We judge this to take more steps to solve, so we prefer the method shown above.
NEED HELPPP ASAAPPPPPPP
Answer:
me too
Step-by-step explanation:
I really need help!!
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.
(2x + 23), (8x + 2) and (20x – 52) are three consecutive terms of an arithmetic sequence.
Prove that the common difference of the sequence is 12
Step-by-step explanation:
Given (2x + 23), (8x + 2) and (20x - 52) are three consecutive terms of an arithmetic sequence.
(8x + 2) - (2x + 23) = (20x - 52) - (8x + 2)
or, 6x - 21 = 12x - 54
or, 12x - 6x = - 21 + 54 = 33
or, 6x = 33
or, 2x = 11
∴ x = 11/2
∴2x + 23 = 2 × 11/2 + 23 = 34
8x + 2 = 8 × 11/2 + 2 = 46 and
20x - 52 = 20 × 11/2 - 52 = 110 - 52 = 58
34, 46 and 58 are three consecutive terms of an arithmetic sequence.
∴ Common difference(d) = 46 - 34 = 58 - 46 = 12, it is proved.
Hence, the common difference of the sequence is 12.
What is the coefficient of the term x°ys in the
expansion of the binomial expression
(2x - y)8?
Answer:
if it is (2x-y)8
then it is 16x - 8y
[tex]x^0[/tex]y = 1.y = y
so the co efficient of y is -8
Step-by-step explanation:
Carmen can make 9 bracelets each day. She needs to make at
least 120 bracelets to sell at a craft fair. She estimates she will need more
than 13 days to make enough bracelets. Is she correct? Explain.
Step-by-step explanation:
yes because If you divide 120 by 9 you get 13.333 so technically speaking she is correct
Write the equation of the line that passes through the point -3,4 and slope of 6
how to turn 18/48 into the power of 10 please tell the answer as soon as possible, it's for my semester
How many real roots does the quadratic function h (x) = 2x2 – 3x + 6 have?
If 3x = 21, find the value of 23 - 4x
Answer:
- 5
Step-by-step explanation:
Given
3x = 21 ( divide both sides by 3 )
x = 7
Then
23 - 4x = 23 - 4(7) = 23 - 28 = - 5
3\sqrt{ }528
please help
Answer:
8.08248
Step-by-step explanation:
Use a calculator
How do I Solve for 5x+2=180
A) by AA similarity
B) by sas similarity
C)Not enough information
D) by sss similarity
Please see the photo
Please don't answer randomly because if you answer randomly you are gonna lose points
Answer: b
Step-by-step explanation:
Answer: It's yes and (D) SSS because all the angles are side side side and all have the same angles but one's smaller while the other is bigger but that doesn't change anything. :)
Step-by-step explanation:
Would someone help me out?
A)56.6
B)58.4
C)53.5
Answer:
it is c
Step-by-step explanation:
6 divided by 4 write your answer in a decimal form
Answer:
1.5
Step-by-step explanation:
Four goes into six once, then four goes into 20 5 times