how to solve christina used 2 1 3 gallons of gas to drive her car 64 1 6 miles. what was the fuel efficiency of her car, in miles per gallon, for the trip? miles per gallon
The efficiency of car is 55/2 MPG
• Fuel efficiency is a measure of how much energy in terms of fuel will be converted to kinetic energy to travel by a car. Most nations use miles per gallon to measure fuel efficiency (mpg).
• A good rule for fuel efficiency is that at least you are getting 23 miles per gallon combined city and highway.
• We calculate fuel efficiency by the formula MPG = (No of miles drove since last fill) / Gallons Based on the given conditions, Formula for MPG = (64 1/6 ) / (2 1/3)
Solving this we get= (64 + 1/6 ) / ( 2 + 1/3)= ((384 + 1)/6) / (7/3) = (385/6) / (7/3)= 55/2
Therefore, the vehicle's efficiency is 55/2 MPG.
Learn more about efficiency here https://brainly.com/question/11278661
#SPJ4
9x-7=-25
whats the variable?
Answer:
the variable is 9x
Step-by-step explanation:
Anna is training to run a marathon. She ran `x`miles on Monday and Tuesday, `x+3`miles on Wednesday, and twice as far on Thursday as she did on Wednesday. Write an expression that represents the total distance Anna ran.
Answer:
y= 4x+6
Step-by-step explanation:
Step one:
given
distances in miles
Monday= x
Wednesday= x+3 miles
Thursday= 2(x+3) miles
Required
The total distance covered
Step two:
let the total be y
y= x+(x+3)+2(x+3)
open bracket
y= x+x+3+2x+6
y= 4x+6
The sum of ages of father amd his son is 60 years. After 14 years, father's age will be three times the age of his son. Find their present ages.
Answer:
Father age= 52 years
Son age =8 years
Step-by-step explanation:
Given:
⇒ Sum of ages of father and his son = 60 years
⇒ After 14 years - father's age will be 3 times the age of his Son
⇒ Find their present ages
Solution:
According to the given,
The total = 60
Father age = "x " ( unknown)
Son age = 60 - x
In additionally,
Father age = ( x + 14 ) years
Son age = ( 60 - x + 14 )
= ( 74 - x ) years
Setting up the problem:
x + 14 = 3 ( 74 - x )
Removing parentheses:
x + 14 = 3 × 74 - x
Multiply:
x + 14 = 222 - 3x
variable on one side and the other on other side:
x + 3x = 222 - 14
Add/Subtract:
4x = 208
Divide:
4x/4 = 208/4
x = 52
Hence, at present:
Father age = 52
Son age = 60 - 52
→ 8
As a result,
Their present ages:
Father = 52
Son = 8
Kavinsky~
#Learnwithbrainly
How is speed similar to solving for time?
To get the speed of something you would have to sole for s=d/t (speed equals distance over time)
4y-28 pls help find y value
Answer:
4y-28 = 0
4y = 28
y=28/4
y = 7
Which fractions are equivalent to 8/20 ?
Answer:
2/5. 4/10. 6/15. 8/20. 10/25. 12/30
Step-by-step explanation:
Answer:
There are infinity equivalent fractions to 8 /20
Examples: 2/5, 4/10, 6/15, 8/20, 10/25 and so on.
A community garden offers two different square-shaped plots of growing space. The larger plot measures one square meter greater than the smaller one. The combined lengths of the two gardens is 3+2 radical 2 meters. What is the area of garden 1?
Answer:
3 + 2√(2)
Step-by-step explanation:
Since the larger plot is 1²m greater than the smaller one.
Let x denote the length of the smaller one, this implies that the larger would be x + 1.
Since the combined length is 3 + 2√(2) we have:
x + (x + 1) = 3 + 2√(2)
2x + 1 = 3 + 2√(2)
2x = 2 + 2√(2)
x = 1 + √(2)
This is the length of the smaller plot. It's area would therefore be:
x² = [1 + √(2)]² = 1 + 2√(2) + 2 = 3 + 2√(2)
7p2-3-3p3 in standard form
Answer:
-3p^3+7p^2-3
Step-by-step explanation:
Another employee's hourly wage increased from $12.40 to $13.65 per hour. What is the percent increase to the nearest tenth?
Answer:
This is an increase of 1.25 or 10.08%
Step-by-step explanation:
1st) You must Subtract, Original number-New Number or 13.65-12.40
2) Then divide the increase of 1.25÷12.40Then multiply by 100 to get 10.08%
Answer:
10.18 I think
Step-by-step explanation:
I took 13.65 and divided it by 12.40 and got 1.10080645 well taking the first three numbers which is 1.10 I rounded it to the nearest 10nth and that's 10.18
P(x)=2x ³+ x ²-7x-6
Answer:
x = -1.5, -1, 2.
Step-by-step explanation:
I am assuming you want to solve this>
Solve 2x ³ + x ² -7x - 6 = 0
It looks like x = -1 is a solution so we try it:
2*(-1)^3 + (-1)^2 -7(-1) - 6
= -2 + 1 + 7 - 6
= -1 + 1 = 0
So x = -1 is one root.
So (x + 1) must be a factor of P(x)
Now we divide by x + 1:
x + 1)2x ³ + x ² -7x - 6( 2x^2 - x - 6 <--- quotient
2x^3 + 2x^2
-x^2 - 7x
-x^2 - x
-6x - 6
-6x - 6
----------
2x^2 - x - 6 = 0
(2x + 3)(x - 2) = 0
x = -1.5, 2.
Leslie bought 6 sections of fence. Each section is 4 feet long. Leslie put all the sections together in a line.
What is the total length of all 6 sections?
OA. 16 feet
OB. 24 feet
OC. 30 feet
OD. 36 feet
OE. 40 feet
Answer:
b
Step-by-step explanation:
6×4=24 i believe so if not ask for help
Can someone help me? Its pretty easy but i'm having a hard time...
Order the numbers from least to greatest. |6|, |0|, |−9|, |−4.2|
Answer:
0, 4.2, 6, 9
Step-by-step explanation:
what is this answer? I have no idea. pls help :( will give brainliest
y = x + 3
find slope and y intersect
Answer:
Slope m = 1
y-intercept b = 3 or (0, 3)
General Formulas and Concepts;
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = x + 3
Step 2: Break
Identify Parts
Slope m = 1
y-intercept b = 3
A line has slope m=3/4 and passes through the point (0,-5) what is the equation of the line?
A theater has three eight four seats each row has 16 seats how many rows of seats are there
Answer:
24 rows
Step-by-step explanation:
348 divided by 16 is 24. Hope this helps!
Answer:
24
Step-by-step explanation:
You divide 384 seats and 16 rows. (348/16=24)
I'll trade you a gun for a brainiest! Lol
⌐╦╦═─
so for 8.75 to a percent. do i just put a zero their
Answer:
No, it is 875%
Step-by-step explanation:
Percent means per cent, as in one cent in a dollar kind of thing, or 1/100.
You find 8.75 as a percent by multiplying it by 100 and adding the % after it.
guys pls i post two more questions that i dont kno and i want to pass my test sorry ,but they are important
y+6=1/3(x-3) into standard form
Answer:
[tex]x-3y=21[/tex]
Step-by-step explanation:
The standard form of a linear equation is [tex]Ax+By=C[/tex]
STEP 1: Multiply both sides by [tex]3[/tex].
STEP 2: Simplify [tex]3(y+6).[/tex]
STEP 3: Simplify again.
STEP 4: Rewrite the equation with the sides flipped.
STEP 5: Move all terms containing variables to the left side of the equation.
STEP 6: Move all terms not containing a variable to the right side of the equation.
Rearranging the equation given to conform with the standard form of an equation, the expression becomes -x + 3y = - 21
The standard form of expression a linear equation is given as :
Ax + By = CGiven the expression : y + 6 = 1/3(x - 3)
Multiply both sides by 3
3(y + 6) = x - 3
3y + 18 = x - 3
Move x and y to the same side and the constant to the other.
3y - x = - 3 - 18
-x + 3y = - 21
Hence, the standard form of the equation is - x + 3y = - 21
Learn more : https://brainly.com/question/18405415
I NEED HELP PLEASEEEE
LOOK AT THE ATTACHMENT
T-T
Answer:
how you doing
Step-by-step explanation:
PLEASEEEE HELPP ME IM TIRED AND TAKING A TEST
Answer: 7 batches of cookies
Step-by-step explanation:
On the top, put the numbers 2,3,4,5,6, and 7
On the bottom, put the numbers 24, 36, 48, 60, 72, and 84
Answer:
7 batches
Step-by-step explanation:
7 times 12 equals 84
Find the area. Simplify your answer.
3x
4
Help
Answer:
The area is 12x^2
Step-by-step explanation:
pls help oooooooooo
Answer:
None of the above
Step-by-step explanation:
They are all incorrect answers because the properties are interceptionaly rational.
The population density of a square platform must be less
than 4 people per square yard to meet safety requirements.
The expected attendance at the event is 150 people. What is the minimum side
length, in whole yards, of the platform that meets safety requirements?
Answer:
For me, I really like corn
What do you like about corn?
It's corn
A big lump with knobs
It has the juice (it has the juice)
I can't imagine a more beautiful thing (woo)
It's corn
I can tell you all about it
I mean, look at this thing
When I tried it with butter, everything changed
I hope u have a corntastic day
Write the slope intercept form of the equation of each line given the slope and y intercept
Answer:
11) y= -1x-2
12) y= 3/2x+3
13) y= 3x-2
14) y= 3/4x+1
15) y= 1/2x+1
16) y= -2/5x+0
17) y=7x+2
18) y= 4/3x-4
Step-by-step explanation:
y=mx+b
m is slope and b is y intercept
in FGH the measure of
A cell phone plan costs `\$200` to start. Then there is a `\$50` charge each month.
What is the total cost (startup fee and monthly charge) to use the cell phone plan for `1` month?
point e is located at (-5.2) point m is the reflection of point e across the y-axis what is the distance between e and m
Answer:
10 units
Step-by-step explanation:
Helppppppppppppp pleaseeeeeeee
Circle theorems. Please help me solve for x.
Brainliest, thanks, points and 5 stars for whoever gets this correct and has the right working out.
Please Do not reply if you don’t know the answer
the whole explanation is in the pic