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sammy [17]
2 years ago
14

You want to create a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. The c

osts at two studios are shown.
The cost in studio A is, Vase: 10 dollars and 49 cents; Studio fee: 8 dollars per hour. Cost in studio B is, Vase: 14 dollars and 99 cents; Studio fee: 6 dollars and 50 cents per hour.

a. After how many hours are the total costs the same at both studios?
Mathematics
1 answer:
nikdorinn [45]2 years ago
5 0

for 3 hours, both studios charge the same amount.

<h3>After how many hours are the total costs the same at both studios?</h3>

The cost equation for studio A is:

A(x) = 10.49 + 8*x

The cost equation for studio B is:

A(x) = 14.99 + 6.5*x

The cost will be the same when A(x) = B(x), then we just need to solve the linear equation:

10.49 + 8*x = 14.99 + 6.5*x

8x - 6.5x = 14.99 - 10.49

x = (14.99 - 10.49)/(8 - 6.5) = 3

This means that for 3 hours, both studios charge the same amount.

if you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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vampirchik [111]

Answer:

slope = -1.5

Step-by-step explanation:

A set of three or more points are said to be collinear if they all lie on the same straight line.

We have been given the following collinear set of points;

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This implies that P, Q, and R lie on the same line.

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Using the points P and Q, the slope of the line is calculated as;

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Hi there!

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Means that we have two triangles with 3 sides equal.

⇒ If 3 sides of one triangle are equal to 3 sides of another triangle, the triangles are congruent.

<u>2. SAS (Side, Angle, Side)</u>

Means that we have two triangles where we know 2 sides and the included angle are equal.

⇒ If 2 sides and the includent angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

<u>3. ASA (Angle, Side, Angle)</u>

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<u>4. AAS (Angle, Angle, Side)</u>

Means thant we have two triangles where we know 2 angles and the non-included side are equal.

⇒ If 2 angles and the non-included side of one triangle are equal to the coresponding angles and side of another triangle, the triangles are congruent.

<u>5. HL (Hypotenuse, leg)</u>

** This one only applies to <em><u>right-angled triangles</u></em>.**

Hypotenuse: The longest side of a right-angled triangle.

Legs: The other 2 sides of the right-angled triangle.

Means we have two right-angled triangles with the same length of hypotenuse and the same length for one of the other 2 legs (it doesn't matter which leg since the triangles could be rotated).

⇒ If the hypotenuse and one leg of one right-angled triangles are equal to the corresponding hypotenuse and leg of another right-angled triangles, the two triangles are congruent.


There you go! I really hope this helped, if there's anything just let me know! :)

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