Answer:the total amount of water used by the two households on that Saturday is 360 gallons
Step-by-step explanation:
Let x represent the total amount of water used by the two households on that Saturday. On that Saturday, the ratio of the amount of water used by household A to the amount of water use by household B was 13 : 5. The total ratio is 13 + 5 = 18
The amount of water used by household A would be
13/18 × total amount of water.
The amount of water used by household B would be
5/18 × total amount of water.
Since household A used 260 gallons of water for that day, it means that
13/18 × x = 260
13x = 260×18 = 4680
x = 4680/13 = 360
Step-by-step explanation:
this is my answer I guess this will help
Step-by-step explanation:
You have given a point (1, -5), a slope of 5, and the line passes through the point (-1, -3). You can use this information to find the equation of the line.
The equation of a line in point-slope form is:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, and m is the slope.
Using the given point (1, -5) and the slope m = 5, you can plug these values into the equation:
y - (-5) = 5(x - 1)
Now, simplify:
y + 5 = 5(x - 1)
To put it in slope-intercept form (y = mx + b), expand and solve for y:
y + 5 = 5x - 5
Subtract 5 from both sides:
y = 5x - 5 - 5
y = 5x - 10
So, the equation of the line with a slope of 5 that passes through the point (1, -5) is:
y = 5x - 10
Answer: It is an isometry.
The transformation is done over a line of reflection.
Step-by-step explanation:
A reflection is a transformation that flips a figure on the coordinate plane across a given line without changing the shape or size of the figure.
From the definition of reflection, the figure and its image are congruent ,thus it is an isometry.
It does not slides a plane or flips a plane and does not changes the size of the figure.
It is an isometry and the transformation is done over a line of reflection. Option (a) and option (c) is correct.
Further explanation:
Given:
The statements about reflection are as follows,
(a). It is an isometry.
(b). It slides a plane.
(c). The transformation is done over a line of reflection.
(d). It flips a plane about a fixed line.
(e). It changes the size of the figure being reflected.
Explanation:
Isometryis a mapping of space to another space so that the length between the points is same as the length in the original space. Translation and the rotation are the isometries of plane.
Reflection is a transformation. The preimage is just flipped along a line of reflection to get a new image.
It is an isometry and the transformation is done over a line of reflection.
Option (a) is correct.
Option (b) is not correct.
Option (c) is correct.
Option (d) is not correct.
Option (e) is not correct.
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: statements, true, reflection, isometry, slides, plane, transformation, done, over, line of reflection, flips, plane, fixed line, changes, the size, reflected, translation.
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Given:
The system of equations is:
Line A:
Line B:
To find:
The solution of given system of equations.
Solution:
We have,
...(i)
...(ii)
Equating (i) and (ii), we get
Divide both sides by 2.
Substituting in (i), we get
The solution of system of equations is (-4,-8).
Now verify the solution by substituting in the given equations.
This statement is true.
Similarly,
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
Answer: she should use 5/8 cups i think
Step-by-step explanation:
b-$3,500
c-$1,500
d+$1,500
I would appreciate it anyone willing to help me asap I'm am stuck on the question :)
Answer:
C:$-1,500
Step-by-step explanation: