Answer:
The black car
Step-by-step explanation:
First, we need to fin the mile to gallon ratio.
To get this we would divide the number of miles by the gallon for each car
Green Car:
18.4/0.8
23 miles per gallon
Black car:
17.4/0.75
23.2 miles per gallon
In conclusion, The black car would travel further on one gallon of gas than the green car would.
Hope this helps!!
Please tell me if I have messed up!!
I enjoy learning from my mistakes:)
Graph the solution to this inequality on the number line. 1/3x−3<−1 5/6
Answer:
x < 3 1/2
Step-by-step explanation:
first solve the inequality for x
1/3 x - 3 < -1 5/6
add 3 to both sides
1/3x < 1 1/6
multiply both sides by 3
x < 3 1/2
then just graph x < 3 1/2 on a number line
Answer: Open arrow pointing left on 3.5
Step-by-step explanation: Got correct answer from test review
A linear function that represents the number of video games purchased at an electronics store is compared to a different linear function that represents the amount of money the store made that day. Describe the key features of the functions that are needed to determine if these lines intersect.
Answer:
See there y-intersept and if slope is negative or positive to see if they intersect
The sum of two numbers is 58.25. The second number is 14 less than 2 times the first number. What are the two numbers?
plz fast
Answer:
The first number is 24.08 and the second number is 34.17
The sum of n terms of the AP √3, √8, √18, √32,.... is
S = √2+√8+√18+√32+……………… n terms.
or, S = √2 + 2√2 +3√2 +4√2.+………………….+ n terms.
This is an A.P. in which a = √2. , d = √2.
Sn = n/2.[2.a +(n-1).d].
or, Sn = n/2.[ 2√2 +(n-1).√2].
or, Sn = (n/2).√2.[ 2 +n-1].
or, Sn = n.(n+1)/√2. Answer.
Given AP :√2,√8,√18,√32,...
First term = √2
Common difference = √8-√2
⇛ √(2×2×2)-√2
⇛ 2√2-√2
⇛√2
We know that
Sum of first n terms of an AP
⇛ Sn = (n/2)[2a+(n-1)d]
⇛ Sn = (n/2)[2√2+(n-1)(√2)]
⇛ Sn = (n/2)[2√2+√2 n -√2]
⇛ Sn = (n/2)[√2 n +√2)
⇛ Sn = (n/2)×(√2)(n+1)
⇛Sn = (n/√2)(n+1)
⇛ Sn = n(n+1)/√2
Additional comment:
nth term of an AP = a+(n-1)d
Sum of first n terms of an AP
Sn = (n/2)[2a+(n-1)d]
Sum of the first n terms = Sn =
(n/2)(a+an)
If a,b,c are the three consecutive terms in an AP then b = (a+c)/2
also read similar questions: Find the sum of last ten terms of the AP : 8, 10, 12,...., 126.
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The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap
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0.5 + (-1.5) - (-5.5) =
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
0.5 + ( -1.5 ) = -1
-1 - (-5.5) = 4.5
Hopefully this helped you. :)
PLEASE HELP I WILL MARK BRAINLIST
What is the polynomial function in standard form with zeros -10,0,2?
a) x^3 + 8x^2 + 20x
b) x^3 + 8x^2 - 20x
c) x^2 +8x -20
d) x^2 + 8x + 20
Answer:
x³ - 8x² - 20x
Step-by-step explanation:
Zeroes: 10, 0, -2
Factors are: (x - 10), (x - 0), (x + 2)
Multiply all factors to get expression:
(x - 10)x(x + 2) = x(x - 10)(x + 2)
= x(x² - 10x + 2x - 20)
= x(x² - 8x - 20)
= x³ - 8x² - 20x
The American Opportunity Credit is?
Write an equation of the line passing through (-2,1) and (3,2). Give the answer in standard form
how do i delete my answer because apparently my answer is wrong so yes i don't know how to delete it so i'm just editing it and have a good day people
Answer:
y=[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
y=m-+x so y=slope+or-y-intercept
Pls help I’ll brainlest ASAP
Answer:
Slope = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
rise over run = slope
Let f(x)=5(3)x−4. Evaluate f(6).
Given that:
f(x) = 5(3)x-4
f(6) = 5(3)(6) - 4 ⇛15(6) - 4 ⇛90-4 ⇛86Ans.
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.
64,16,4,…
This is a (geometric/arithmetic) sequence and the (common ratio/common difference) is equal to ____.
Step-by-step explanation:
this is clearly not a linear sequence (the terms don't have the same difference).
so, it has to be a geometric sequence.
the common ratio is r.
s2 = s1 × r
16 = 64 × r
r = 16/64 = 1/4
control :
s3 = s2×r
4 = 16 × 1/4 = 4
correct.
Common ratio is 1/4
What is geometric progression ?A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4
gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]
Hence, common ratio r = 1/4
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10(11a) what is the answer need help ASAP
[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]
Answer:
110a
Hope you could get an idea from here.
Doubt clarification - use comment section.
1) write the measurement 4009 mm into the place value table below
a) what is 4009 mm in cm
b) what is 4009 mm in m
2) how many millimeters is 6 liters
Answer:
a)400.9 cm
b)4.009 m
c) 181.71 mm
Step-by-step explanation:
a) First know that when you move from cm to mm you multiply by 10 and when you move from mm to cm you divide by 10 because 1mm= 0.1 cm
so 4009mm/10 = 400.9cm
b) when you move from m to mm you multiply by 1000 but when you move from mm to m you divide by 1000 ,so 4009/1000 = 4.009
c) 1litre= 1000000mm³
6litre= x
xlitre= 6000000 litre mm³
divide by litre
x= 6000000 mm³
but according to the question we are not looking for cubic mm but mm the fore remove cubic by insterting cube root
x= 181.71 mm
: . c)181.71 mm
witch expression an be placed on the right side of the equal sign to form an equation 5 + 2/3 ? K12 6 grade
72.18 into like fraction
Write 72.18 as=
[tex]Write 72.18 as = \frac {72.18}{1} [/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]
Reducing the fraction gives[tex] \frac{3609}{50} [/tex]
I just need help shouldn't be too hard if you understand it
Answer:
x =|y| x right = negative x left=+ y up = + y down = -
HELP PLSSSS ILL GIVE 5 STARS JUST ANSWER
Answer:
-1 (color bow red)
Step-by-step explanation:
first plug x=7
-12/2(7) - 2
-12/14-2
-12/12
-1
Please help!! markup and markdown word problems.
1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?
2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?
3. A painting is on sale at 50% off. The sale price is $320. What was the original price?
Answer:
Step-by-step explanation:
1. A boat is marked up 20% on the original price. The original price was $50. What is the sale price of the boat before sales tax?
$50(1+0.20) = $60
2. Fred buys a video game disk for $4. There was a discount of 20%. What is the sales price?
$4(1-0.2) = $3.20
3. A painting is on sale at 50% off. The sale price is $320. What was the original price?
X*(1-0.5) = $320
X = $320/0.5
X = $640
Which of the following is described below?
This object goes forever in opposite
directions. It is infinitely skinny, as it is a
set of points that are all lined up.
A. Point
B. Line
C. Ray
D. Segment
Answer:
B. line
Step-by-step explanation:
A line would fit this description best. A ray wouldnt work because it goes on infinitely in one direction. A point wouldnt work because it is a dot that marks a location, and a segment is bound by 2 points, and cannot go on forever.
The given description would be best fitting to a "line", which is the correct answer would be an option (B).
What is the line?A Line is formed by a set of points traveling in a straight line but in opposite directions. It has no breadth, no depth (curvature), and no termination, which implies 'it will not finish,' hence it moves in a straight line in opposing directions indefinitely.
This object goes forever in opposite directions. It is infinitely skinny, as it is a set of points that are all lined up.
This description would be best suited to a line.
A ray would not operate since it extends in one direction indefinitely. A point would not work since it is a dot that indicates a position, but a segment is constrained by two points and cannot continue indefinitely.
Hence, the correct answer would be an option (B).
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Solve x2 + 5x – 3 = 0 using the quadratic formula.
Solve (2x – 1)2 = 8 using the quadratic formula.
A) x = –1∕2 + , x = –1∕2 –
B) x = 1∕2 + , x = 1∕2 –
C) x = 1∕2
D) x = –1∕2
Answer:
d
Step-by-step explanation:
distribute two through the parentheses
=4x-2
move the constant to the right side and change its sign
=4x=8+2
=4x=10
divide both sides by 4
x=5/2
slope 1/4 y-intercept 3 step by step
For which value of x is inequality 3(1+x)<+6true?
Answer: For in the inequality to be true, X must be less than or equal to 1. That represented as an in equality is X < 1.
x<1 true
Step-by-step explanation:
3(1+x)<+6= 3×1+3×X<+6=3+3x<6 then3x=6-3 solution 3x=3 devide by 3 both sides the answer is x=1 hence x<1 verified
help me i really need it
Answer:
A (0, -4)
Step-by-step explanation:
i was doing this task in math and I came across this:
x-12x=0.88x
.
can someone plz explain why is this equal to this?
I understand it's simplified, but how?
Answer:
mx+b+a= x-12x=0.88x
Step-by-step explanation:
The perimeter of a square is 252 feet how long is each side
I’m not sure how to set up this problem
Answer:
63 feet
Step-by-step explanation:
perimeter is the sum of all four sides and, since it's a square then all sides are equal
to find how long each side is divide 252 by 4
252÷4 = 63
Answer:
It seems like you want to solve the question, so I'll not include the answer
Square has 4 sides and each sides are identical length so.
And Perimeter is just the total length of the sides of the shape. So...
Mathematically
Perimeter of square = 4s
where s is length of one side of square
HELP 40 POINTS!!!!!!
Answer:
x = -2
Step-by-step explanation:
the y value in slope intercept form, which is the slope, is undefined. there is no y intercept, so the only known value (the x in y=mx+b) is -2, meaning the equation is x=-2
Slope:-
[tex]\\ \sf\longmapsto m=\dfrac{-3-2}{-2+2}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{-5}{0}[/tex]
[tex]\\ \sf\longmapsto m=\infty[/tex]
Equation of line in point slope form
[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]
[tex]\\ \sf\longmapsto y-2/\infty=x+2[/tex]
[tex]\\ \sf\longmapsto x+2=0[/tex]
[tex]\\ \sf\longmapsto x=-2[/tex]
A tree that stands 75 feet tall, casts a
shadow of 30 feet at 11:00 am. What is
the ratio of the length of the shadow to the
height of the tree?
Answer:
30 to 75, 30/75, 30:75
Step-by-step explanation:
5. What is the correct expanded form for the number 84.76?
80 + 4 + 0.07 + 0.006
80 + 4 + 0.7 + 0.06
0 +
800 + 40 + 0.7 + 0.06
O 80 + 4 + 0.7 + 0.6
4
Answer:
80+4+0.7+0.06
There is no step by step.
Which triangle has vertices (–3, –5), (7, 4), (0, 4)?
Answer:
see attached
Step-by-step explanation:
The one that matches the triangle shown in the attachment has the given vertices.
2y = - 3x - 6
For the function provided below, you need to solve for slope intercept form, the x intercept and the y intercept. You must show all work for credit.
The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .
What is slope intercept form?The slope intercept form in math is one of the forms used to calculate the equation of a straight line, given the slope of the line and intercept it forms with the y-axis. The slope intercept form is given as, y = mx + b, where 'm' is the slope of the straight line and 'b' is the y-intercept.
What are intercepts?Using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0and a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0
According to the question
The equation : [tex]2y = - 3x - 6[/tex]
The x intercept of the equation :
as a x-intercept or horizontal intercept is a point where the graph of a function or relation intersects the x-axis of the coordinate system. As such, these points satisfy y = 0 .
Therefore,
at y= 0
[tex]0 = -3x -6[/tex]
[tex]6 = -3x[/tex]
[tex]x = -2[/tex]
So,
x intercept of the equation is (-2,0)
The y intercept of the equation :
As a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Therefore
at x= 0
[tex]2y = -3*0 - 6[/tex]
[tex]2y = -6 \\ y = -3[/tex]
y intercept of the equation is (0,-3)
Now, The slope intercept form of the equation [tex]2y = - 3x - 6[/tex]
As slope intercept form is given as
y = mx + b
We will convert equation to standard slope intercept form
i.e
Dividing equation by 2 both side
[tex]y = -1.5x -3[/tex]
So,
m = -1.5
Hence, The x intercept of the equation is (-2,0) , the y intercept of the equation is (0,-3) and The slope intercept form of the equation is [tex]y = -1.5x -3[/tex] .
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