Answer:
18 litresStep-by-step explanation:
The formula for the remaining volume of fuel in a car's tank is expressed as;
V = I - E.D
where;
I is the initial volume of fuel,
E is the fuel efficiency, and;
D is the distance traveled.
Given
I = 30 litres
1m³ = 1000L
x = 30L
x = 30/1000
x = 0.03m³
I = 0.03m³
E = 100cm³/km
E = 100*10^-6m³/km
E = 10^-4m³/km
E = 10^-4m³/1000m
E = 10^-7m²
D = 120km
Convert km to metres
D = 120km = 120,000m
Substitute the results into the formula;
V = I - E.D
V = 0.03 - (10^-7)(120,000)
V = 0.03 - 0.012
V= 0.018 m³
Convert 0.018 m³ to litres
Since 1 m³ = 1000L
0.018 m³ = y
cross multiply;
y = 1000 * 0.018
y = 18 litres
Hence volume of fuel that remains in Carson's tank by the end of the drive is 18 litres
Given the function y=(0.84)t, determine whether the function represents growth or decay and identify the rate of change
Answer:
This function is a decay function and the rate of change is 0.16.
Step-by-step explanation:
We can tell this a decay function because the number in the parentheses is less than 1.
The "parent" function of a decay function is [tex]y = (1-b)^{x}[/tex], where x represents the t and b is the rate of change.
So that means 0.16 is b and 1 - 0.16 resulted in 0.84.
#teamtrees #WAP (Water And Plant)
what is the remainder of 2,445 ÷ 8
305 R 5
-----------------------------------------------
What is the solution set for |x/2|=8?
Answer:
D) x=16 and x=-16
Step-by-step explanation:
D) x=16 and x=-16
If you replace x with either one of them and then take the absolute value, you would have 8.
On a certain day, the temperature
changed at a rate of -3°F per
hour. How long did it take for the
change in temperature to be
-33°F?
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
Marneshia walked of a mile in of an hour. What equation can be used to calculate her unit rate in miles per hour?
time divided by distance. She was going 1 miles an hour
Determine whether the following graph represents a function,
Not a Function
Function
Submit answer
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
someone help. i’m bad at math.
Step-by-step explanation:
when perpendicular, u must use m1m2=-1
so , (⅓)(m2)=-1
m2= -3
y-y1=m2(x-x2)
y-1=-3(x-0)
y=-3x+1
Answer:
y = -3x + 1
Step-by-step explanation:
to be perpendicular the multiplication of the gradiens should be -1
m1 × m2 = -1 , m1 = 1/3
1/3 × m2 = -1
m2 = -3
and required equation passes through the point.( 0,1)
y = m2 x + c2
1 = -3 (0) + c2
c2 = 1
so the equation
y = -3x + 1
How many solutions are in the following system? x + y = 9 2x + 2y = 18
Answer:
3
Step-by-step explanation:
Students were asked whether they wanted chicken or pasta served at their
awards banquet. There were 10 students who chose chicken and 12
students who chose pasta. What is the ratio of students who prefer
chicken to students who prefer pasta?
Answer:
10:12
Step-by-step explanation:
hope it helped!!
xxx me!
Answer:
5:6
Step-by-step explanation:
Chicken : Pasta
10 : 12 (Both divide by 2)
5 : 6 (Simplest form)
my mom just grounded me for a year bc my sister dropped her vap3 on the floor and i tried to pick it up fast so my mom didnt see. she saw tho and my sister didnt even tell the truth the whole time i was getting yelled at. what do i do
Answer:
Explain
Step-by-step explanation:
Tell her what happened, be honest and calm
Answer:
is this answer look
Step-by-step explanation:
Original Price = $ 20, % Markup = 15%
Answer:
23 dollars
Step-by-step explanation:
so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23
I need help pleaseee ASAP!
Will give brainliest to the correct answer :)
Answer:
7 rate of change. If right consider brainlist:)
Step-by-step explanation:
What is the slope of a line containing (4,6) and (0,8)?
Answer:
[tex]m=\frac{-1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (4, 6)
Point (0, 8)
Step 2: Find slope m
Substitute: [tex]m=\frac{8-6}{0-4}[/tex]Subtract: [tex]m=\frac{2}{-4}[/tex]Simplify: [tex]m=\frac{-1}{2}[/tex]Answer:
Slope is -1/2
Step-by-step explanation:
y2 - y1/x2 - x1
8 - 6/0 - 4
2/-4
-1/2
The following information is known about a savings account. What amount of simple interest will be earned?
Answer:
what is you exact question?
An airplane traveled 108 miles in 20 minutes? How long will it take to fly 162 miles?
a
30 min
b
25 min
c
8.1min
d
35 min
omg pls help me im giving like all my points out for this
Answer:
poopy
Step-by-step explanation:
Tee Hee
Answer:
a, 30 minutes
Step-by-step explanation:
108 divided by 20 is 54
162 divided by 54 is 30
What is the domain of this relation?
(20, 16)
(3,7)
(20, -6)
Step-by-step explanation:
{20,3}
because it is the objects of function
PLZ HELP U WILL GET BRAINLIEST Solve for X:
Answer:
x=17
Step-by-step explanation:
7x+15=4x+66
3x=51
x=17
Answer:
17
Step-by-step explanation:
7x + 15° = 4x + 66° (vertically opposite angles are equal)
7x - 4x = 66 - 15
3x = 51
x = 51/3
x = 17
hope it helps you^^
triangle sum theorem
WILL MARK BRAINLIEST
Step-by-step explanation:
13) 4x-22+x+11+10x-4 =180
15x=195
x=13
<P=(10(13)-4)=126
<Q=(4(13)-22)=30
<R=13+11=24
What is the predecessor of 2,777
Answer:
2,776
Step-by-step explanation:
the name predecessor means before hence the number just before 2777.
plz help!! will give brainliest serious answers only
Answer:
6/8
pls brain me
Step-by-step explanation:
Which of the sets of ordered pairs represents a function?
P = {(3, 5), (−1, 5), (4, −6), (2, 9)}
Q = {(7, −2), (5, 9), (−1, 8), (5, −3)}
Answer:
P
Step-by-step explanation:
P tells us that the Domain: 3,-1,4,2 doesn't repeat
Q does repeat its Domain: 7,5,-1,5
Reminder that in order for a line of ordered pairs to be a function the domain number Shouldn't repeat, That doesn't mean that the range cant repeat.
Example: (5,-3), (5,9) Not a function
(-1,-6), (7,-6) Function
Out of the two set given, the set of ordered pairs that represents a function is: P = {(3, 5), (−1, 5), (4, −6), (2, 9)}.
What is a Function?A set of ordered pairs that has one exact y-value assigned to each x-value is considered a function.
In set P, all x-values has exactly one y-value, while in set P, the x-value, 5, has two different y-values, 9 and -3.
Therefore, the set of ordered pairs that represents a function is: set P.
Learn more about a function on:
https://brainly.com/question/10439235
#SPJ2
PLEASE GUYS IM DESPRATE
Answer:
Step-by-step explanation:
Putting values in the equation
-(-3)-(2)3+ (-2) (3)
3 - 8 + (- 6)
-5 - 6
= - 11
Answer:
-11
Step-by-step explanation:
-(-3)-(2^3)+(-3)2
3-8-6=-11
Topic : Composition of Functions - Worksheet 2 Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))
Answer:
[tex]f(g(6))=19[/tex][tex]g(f(-7))=-34[/tex][tex]f(f(8))=224[/tex][tex]g(f(x))=5x+1[/tex]Step-by-step explanation:
Considering the functions
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
Part 1)
Find
[tex]f(g(6))[/tex]We need to first dertermine [tex]g(6)[/tex]
[tex]g(x) = x - 3[/tex]
Putting x = 6
[tex]g(6) = 6-3=3[/tex]
Then
[tex]f(g(6))=f(3)=5(3)+4=15+4=19[/tex]
Hence,
[tex]f(g(6))=19[/tex]
Part 2)
Find
[tex]g(f(-7))[/tex]We need to first dertermine [tex]f(-7)[/tex]
[tex]f(x) = 5x + 4[/tex]
Putting x = -7
[tex]f(-7) = 5(-7)+4=-35+4=-31[/tex]
Then
[tex]g(f(-7))=g(-31)=(-31-3)=-34[/tex]
Hence,
[tex]g(f(-7))=-34[/tex]
Part 3)
Find
[tex]f(f(8))[/tex]We need to first dertermine [tex]f(8)[/tex]
Putting x = 8
[tex]f(8) = 5(8)+4=40+4=44[/tex]
Then
[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]
Hence,
[tex]f(f(8))=224[/tex]
Part 4)
Find
[tex]g(f(x))[/tex][tex]f(x) = 5x + 4[/tex]
[tex]g(f(x))=g(5x+4)[/tex]
[tex]=(5x+4)-3=5x+1[/tex]
Hence,
[tex]g(f(x))=5x+1[/tex]
Sara is multiplying two factors, one is a whole number and one has two decimal places She says the product could have one decimal place is she correct? Give an example your reasoning
Answer: i don't understand
Max and Evie are comparing the number of ride tickets they have for an amusement park. They notice that Evie has 4 less than three times the number of tickets that Max has. If the number of tickets Max has is represented by n, then which of the following represents the COMBINED number of tickets Max and Evie have in terms of n?
Answer:
3n - 4?
Step-by-step explanation:
E = 3M - 4
M = n
= 3n - 4
I think
a 1 16 -3
b 2 16 3
c 1 12 -3
d 1 -16 -2
Answer: Um, The answer is 1, 12, –3.
Step-by-step explanation:
Choose the expression equivalent to 2^ -2 x
2^5.
Answer:
2³
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , thus
[tex]2^{-2}[/tex] × [tex]2^{5}[/tex] = [tex]2^{(-2+5)}[/tex] = 2³ [ = 8 ]
Mary went to the local market to purchase some fruit. Each box of
oranges sold for $3 and each box of pears for $5. Mary purchased a total
of 18 boxes of fruit for $68. How many boxes of oranges did she
purchase?
Answer:
11
Step-by-step explanation:
11 BOXES OF ORANGES IS $33
7 BOXES OF PEARS IS $35
WHICH EQUALS $68
MEANING THERE IS 11 BOXES OF ORANGES
Yesterday, there were 10 problems assigned for math homework. Anna got 7 out of 10 problems correct. What percentage did Anna get correct
Answer:
70%
Step-by-step explanation:
7/10=70%
Answer:
70 percent
Step-by-step explanation:
if you multiply both factors by 10 you get 70/100 which is 70 percent