Riley and her roommate use the company Webmax for their Internet service. Webmax charges $0.03 per minute, plus a monthly flat fee for a modem. Last month for their total bill, Riley paid $31 and her roommate paid $20. If they used the Internet 1300 minutes, how much must the modem cost per month?

Answers

Answer 1

Answer:

Answer:

the modem is $8 per month

Step-by-step explanation:

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3x+y=53y-z=2X+z=5Solve for x,y,zSolve by Gaussian elimination

70 POINTS! ∆ABC is reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x to form ∆A′B′C′.The coordinates of vertex A′ are ____.
The coordinates of vertex B′ are ____ .
The coordinates of vertex C′ are ____.

Answers

Answer:

A'(1, 1); B'(3, 2); C'(1, 2)

Step-by-step explanation:

The original points are A(1,1 ), B(2, 3) and C(2, 1).

Reflecting the triangle across the x-axis will negate every y-coordinate; this maps

(1, 1)→(1, -1); (2, 3)→(2, -3); (2, 1)→(2, -1)

Rotating the figure 90° clockwise about the origin switches the x- and y-coordinates and negates the x-coordinate; this maps

(1, -1)→(-1 -1); (2, -3)→(-3, -2); (2, -1)→(-1, -2)

Reflecting across the line y=x will negate both the x- and y-coordinates; this maps

(-1, -1)→(1, 1); (-3, -2)→(3, 2); (-1, -2)→(1, 2)

Final answer:

To find the coordinates of ∆ABC after reflection across the x-axis, rotation by 90°, and reflection across y = x, we would apply these transformations to each point. Initially reflected across x-axis results in (x, -y), the 90° rotation gives (-y, x), and final reflection over y = x gives (x, -y). To find A′B′C′ we would need original coordinates, but general rule follows this pattern.

Explanation:

In this mathematics problem, we will find the coordinates for vertex A′, B′, and C′ of ∆A′B′C′. Given a triangle ∆ABC reflected across the x-axis, then rotated 90° clockwise about the origin, and finally reflected across the line y = x, we need the original coordinates of A, B, and C to find A′B′C′. However, if we take a generic point (x, y), we can assume the following:

The reflection about the x-axis would turn it into (x, -y).
The 90° clockwise rotation about the origin would give the new coordinates (-y, x).
Finally, the reflection over the line y = x would change (-y, x) to (x, -y).

Assuming these transformations, we can find the final coordinates for A′, B′, and C′.

Learn more about Coordinate Transformations here:

brainly.com/question/37212834

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Someone drove 20 miles in 24 minutes at this rate how many miles did they drive in 6 minutes

Answers

distance = rate * time (I will abbreviate as d = rt)
d = rt, so r = d/t
r = 20mi/24min
= 0.833333 mi/min.

d = rt again for the new time
d = 0.8333333 mi/min * 6 min = 5 miles

What are the value of the 5s in the number 5,508 ... Pls answer thank you

Answers

the value of the first 5 =5,000 which is equal to 5 thousand because it is in the thousands place
the value of the second 5=500 which is equal to 5 hundred because it is in the hundreds place

Hope this helps!! :D

What is 0.97333... as a fraction

Answers

$x=0.97\overline{3}\n100x=97.\overline{3}\n1000x=973.\overline{3}\n1000x-100x=973.\overline{3}-97.\overline{3}\n900x=876\nx=(876)/(900)=(73)/(75)$

the answer is 73/75 :)

Any nonzero integer divided by 0 equals 0

Answers

No division by zero with any number that you are dividing is undefined.

Ating a Line with a Positive SlopeA line passes through the point (0, –1) and has a positive slope. Which of these points could that line pass through? Check all that apply.

(12, 3)
(–2, –5)
(–3, 1)
(1, 15)
(5, –2)

Answers

Answer:

The points (12,3), (-2,-5) and (1,15) through which the line can pass.

Step-by-step explanation:

A line passes through the point (0, –1) and has a positive slope.

(i) The slope of the line passing through the points (0,-1) and (12,3) will be

$(- 1 - 3)/(0 - 12) = (1)/(3) > 0$

(ii) The slope of the line passing through the points (0,-1) and (-2,-5) will be

$(- 1 + 5)/(0 + 2) = 2 > 0$

(iii) The slope of the line passing through the points (0,-1) and (- 3,1) will be

$(- 1 - 1)/(0 + 3) = - (2)/(3) < 0$

(iv) The slope of the line passing through the points (0,-1) and (1,15) will be

$(- 1 - 15)/(0 - 1) = 16 > 0$

(v) The slope of the line passing through the points (0,-1) and (5,-2) will be

$(- 1 + 2)/(0 - 5) = - (1)/(5) < 0$

Therefore, the points (12,3), (-2,-5) and (1,15) through which the line can pass. (Answer)

Answer:

A, B, D

Step-by-step explanation:

just took it on edg

Other Questions

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $500,000. Two years ago, the value of the collection was $550,000 and last year, the collection was valued at $605,000.Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.Write an explicit rule which can be used to determine the value of her art collection n years after that. Use this to determine the value of her collection 10 years after she started tracking its worth rounded to the nearest dollar.

12/4+(5 power of 2 -6)

The diameter of a bicycle tire is 48 inches. What is the radius of the tire?

If 25% of the students in elementary algebra courses receive a grade of A, and there are 300 students enrolled in elementary algebra this year, how many students will receive an A.