The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Based on the graph, the car requires___gallons of fuel to travel 100 miles.
A. 1.0
B. 2.5
C. 4.0
D. 5.5
Answers
100=40x
x=2.5
Related Questions
At a restaurant, Mr. Jones orders food that costs $26. The sales tax on the bill is 9%. After taxes, he gives the waiter an additional 15% tip.
What is the total amount Mr. Jones spends on dinner?
O $32.59
$32.24
$27.56
$27.13
Answers
Answer:
thank for the points hsushajwhshbsjsbsjs
Marcus bought r movie posters for $6 each. Write an algebraic expression for total amount Marcus spent.
Answers
Answer:
6*R
Step-by-step explanation:
because if R is the amount of posters you can do the 6 multiplied by the R to help
Hey can anybody help with this question please
Answers
PLEASE i need help
Select all of the expressions that are equivalent to: 8 x 8 x 8 x 8 x 8
8 x 8^4
8^3 x 8^2
5(2^3)
(2^3)^5
8^5
8^3 / 8^2
8^4 / 8^2
Select all the expressions that are equivalent to
6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6 ⋅ 6
6^9
216 + 6^6
216 x 6^6
6^5 + 6^4
6^7 + 6^2
6^5 x 6^4
9^6
Answers
2. 6^9, and 6^5 x 6^4
The straight line L1 passes through the points with coordinates (6, 5) and (10, 3)
The straight line L2 passes through the origin and has gradient -3
The lines L1 and L2 intersect at point P
Find the coordinates of P.
Answers
Answer:
The coordinates of point p are:
x = -3.2
y = 9.6
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:
a = (3 - 5)/(10 - 6) = -0.5
Then this line will be something like:
y = -0.5*x + b
To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:
x = 6
y = 5
Then we get:
5 = -0.5*6 + b
5 = -3 + b
5 + 3 = b
8 = b
Then the equation for line L1 is:
y = -0.5*x + 8
Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)
Then line L2 has a slope equal to -3
y = -3*x + b
And we know that this line passes through the origin, (0, 0)
Then if we replace the values of that point in our equation, we get:
0 = -3*0 + b
0 = b
Then line L2 is:
y = -3*x
Then our two lines are:
y = -0.5*x + 8
y = -3*x
Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:
-0.5*x + 8 = y = -3*x
-0.5*x + 8 = -3*x
now we can solve this for x.
-0.5*x + 8 = -3*x
8 = -3*x + 0.5*x
8 = -2.5*x
8/-2.5 = x = -3.2
Now we need to evaluate one of the lines on this value, i will use line L2
y = -3*(-3.2) = 9.6
Then we can conclude that the lines do intersect in the point:
x = -3.2
y = 9.6
this point is written as: (-3.2, 9.6)
help me fast please
lskrwe
Answers
Answer: c = 1.59 * a
Step-by-step explanation:
You got the answer correct.
Answer:
You are correct, it is c = 1.59 * a
Step-by-step explanation:
A car dealership pays $8,550 for a car. They markup the price by 20.4% to get the retail price. What is the retail price of the car at this dealership?
Answers
Answer:
$10294.20
Step-by-step explanation:
8550 increase 20.4% =
8550 × (1 + 20.4%) = 8550 × (1 + 0.204) = 10294.2
Hurry please!!!!
Which type of transformation is described by (x, y) + (x+2, y+3)?
(А)
a translation 2 units to the right and 3 units down
(В
a translation 2 units to the left and 3 units down
a translation 2 units to the right and 3 units up
D
a translation 2 units to the left and 3 units up
Answers
(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
here, we have,
Given the rule of transformation:
(x, y) → (x+2, y+3)
If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.
In other words,
(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.
For example,
Let say if we have the point A(4, 5)
Using the translation rule:
(x, y) → (x+2, y+3)
A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)
Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).
Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.
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Everything we see and touch is made of ______.
Answers
Answer:
chemicals
Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals
Find the y-intercept of the line on the graph.
Enter the correct answer
HELP PLEASE!!! i’ll give brianliest
Answers
Answer:
(0,4)
Step-by-step explanation:The y intercept is where the line passes through the y-axis.
In a fifth-grade class, 3/4 of the students like to go to the movies. Of the students who like to go to the movies, 2/3 of them like action movies. What fraction of the students in the class like to go to action movies
Answers
Answer:
1/2 of the class
give brainliest if it helps
help please i will give you brainliest if you actually help me
Answers
subtract x^2 - 2x - 6 from -6x + 5
Answers
Answer:
x^2+4x-11
Step-by-step explanation:
x^2 - 2x - 6 - (-6x + 5)
x^2-2x-6 +6x - 5
x^2 +4x -11
2(2w+8)+2w=96 please help with steps
Answers
Answer:
w=[tex]\frac{40}{3}[/tex]
Step-by-step explanation:
2(2w+8)+2w=96
Distribute the 2.
4w+16+2w=96
Combine like terms.
6w+16=96
Subtract 16
6w=80
Divide 80 by 6.
w= 13.333333 or [tex]\frac{40}{3}[/tex]
Find the degree of the monomial.
4g
The degree is
Answers
Largest degree of monomial
ill marbrainlist plss help
Answers
Answer:
3:2
Step-by-step explanation:
If f(x) = -2x + 5 and g(x) = 5x - 5, what is the value of f(g(-4))?
Answers
Answer:
55
Step-by-step explanation:
g(-4)=-20-5 or -25
f(g(4)=-2(-25)+5 or 50+5
Hi! need help asap xx
Answers
Answer:
C
Step-by-step explanation:
The 3 triangles are all similar.
Using the 2 inside then the ratios of corresponding sides are equal, that is
[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 → C
Answer:
C) x = 6
because this is a right triangle
=> we have:
(12² + x²)(3² + x²) = (15x)²
<=> 1296 + 153x² + x⁴ = 225x²
<=> x⁴ - 72x² + 1296 = 0
<=> (x² - 36)² = 0
<=> x² = 36
=> x = 6
Hello I'm Chloe Can you Help me, Thank you :)
y varies proportionally with x. When x = 2, y = 18.
What is the constant of proportionality for this relationship?
Answers
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Step-by-step explanation:
There are 16 boys, and 14 girls in Mr. Smith's homeroom. If two students are absent, what is
the probability that both absent students are boys?
Answers
Answer:
2/16
simplest form:1/8
Step-by-step explanation:
2/16
simplest form:1/8
There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator
2/16
Then simplify by dividing 2/2
1/8
-2.75 + 8.25 shown work pls
Answers
Answer:
5.5
Step-by-step explanation:
Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.
A ticket for a seat at a school play costs £2.95
There are 21 rows of seats.
There are 39 seats in each row.
The school will sell all the tickets.
Work out an estimate for the total money the school will get.
Answers
Answer:
Answer vary :
2.95(21 times 39) = $2,416.05
Step-by-step explanation:
honestly in my opinion that the answer. so we’re trying to find out how much money the school will earn.
if each seat cost 2.95 we need to find out how many seats are their?
-21 times 39 = 819
we multiplied the rows and seats find out how many seats their are and the answer is 819.
after you do that now we have to find out how much money they will earn from selling all 819 seats.
-819 times 2.95 = 2,416.05
we then multiplie all of the seats wich is 819 seats by 2.95 wich is the cost of one seat and got 2,416.05, and that’s the answer we’ve been looking for.
and that’s how I got my answer.
The total money school will get is £2416.05 on a play.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
A ticket for a seat at a school play costs £2.95
There are 21 rows of seats.
There are 39 seats in each row.
That means,
there are total 21 x 39 = 819 seats.
So, the total money the school will get,
= 819 x £2.95
= £2416.05
Therefore, school makes £2416.05 on a play.
To learn more about the multiplication;
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2x - 2 = x-5
I’ll give 35 points plz help
Answers
Answer:
x = -3
Step-by-step explanation:
2x-x=-5+2
x = -3
Mr. Jackson decides to build a planter in the shape of a cube for his wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.
Answers
The question is incomplete. Here is the complete question.
Mr. Jackson decides to build a planter in the shape of a cube fo rhis wife. The top of the planter will be open so his wife can plant and water her flowers. The perimeter of the bottom of the planter is 12 feet.
How many square feet of material does Mr Jackson need to build the planter?
(a) 27 square feet
(b) 45 square feet
(c) 60 square feet
(d) 720 square feet
Answer: 45 square feet
Step-by-step explanation: A cube is a regular solid with six square faces.
Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.
Perimeter is the sum of all the sides. For a square, perimeter is given by
P = 4s
Then, side of the bottom is
[tex]s=\frac{P}{4}[/tex]
[tex]s=\frac{12}{4}[/tex]
s = 3
Area of a square is
[tex]A=s^{2}[/tex]
[tex]A=3^{2}[/tex]
A = 9
The planter is a cube with 5 faces, because the top is open. Then, total area is
[tex]A_{t}=9+9+9+9+9[/tex]
[tex]A_{t}=[/tex] 45
Mr Jackson will need 45 square feet of material to build the planter.
Answer:
45 feet
Step-by-step explanation: A cube is a regular solid with six square faces.
Square is a quadrilateral with 4 right angles and 4 equal sides. So a cube is solid formed by 6 squares.
Perimeter is the sum of all the sides. For a square, perimeter is given by
P = 4s
Then, side of the bottom is
s = 3
Area of a square is
A = 9
The planter is a cube with 5 faces, because the top is open. Then, total area is
45
Mr Jackson will need 45 square feet of material to build the planter.
x=3y
2x+4y=10
solve using substitution
Answers
Substitute the first equation into the second one
2(3y)+4y=10
6y+4y=10
10y=10
Y=1
Place the answer for Y into the first equation
X=3(1)
X=3
The solution of equations is x=3 ,y=1
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
x=3y
2x+4y=10
Substitute the first equation into the second one
2(3y)+4y=10
6y+4y=10
10y=10
Y=1
Place the answer for Y into the first equation
X=3(1)
X=3
Therefore; the value of x and y of equations will be 3 and 1
Learn more about equations here;
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Cuanto da la siguiente operación matemática : 5√225 ?
Answers
Answer:
75
Step-by-step explanation:
Which method is best to use to solve the equation 4x2−29=0?(1 point)
quadratic formula
completing the square
factoring
Square Root Property
2Is the quadratic formula the most efficient method for solving x2−x−42=0? Explain.(1 point)
No, completing the square is the most efficient method because the equation begins with x2.
No, factoring is the most efficient method because the expression on the left is factorable.
Yes, the quadratic formula is the most efficient method because it provides the fewest calculations.
Yes, the quadratic formula is the most efficient method because it provides the correct answer.
3.Which is the most efficient method to use when solving 3x2+5x+1=0?(1 point)
completing the square
quadratic formula
factoring
Square Root Property
4.Speculate which solution method is the most appropriate for solving the equation, then solve.
x2−3x−10=0
(1 point)
quadratic formula; x=2, −5
quadratic formula; x=−2, 5
factoring; x=−2, 5
factoring; x=2, −5
5.A quadratic equation has coefficients a=4, b=−8, and c=4. Which method is the most efficient way to solve for x?(1 point)
completing the square
factoring
Square Root Property
quadratic formula
Answers
Answer:
i think factoring
Step-by-step explanation:
Answer: for the first one its quadratic formula...
Step-by-step explanation:
im still doing the QC so ill keep you updated
Pls help find x in both
Answers
Answer:
Step-by-step explanation:
In similar triangles, corresponding sides are in same ratio
[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]
Cross multiply,
7*(x + 8) = 6*(3x -9 )
7x + 7*8 = 6*3x - 6*9
7x + 56 = 18x - 54
56 = 18x - 7x -54
56 = 11x - 54
11x - 54 = 56
11x = 56 +54
11x = 110
x = 110 /11
x = 10
PR = 3x -9
= 30 - 9
PR = 21
3x + 7 + -X - 13
plz help
Answers
Answer:
3x+7-x-13
3x-6-x
=2x
pls mark brilliance if im right
Help guys I really need it
Answers
Answer:
yes it does
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
