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Inessa [10]
3 years ago
11

A truck can be rented from Company A for ​$100 a day plus ​$0.20 per mile. Company B charges ​$60 a day plus ​$0.70 per mile to

rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Mathematics
1 answer:
denis23 [38]3 years ago
4 0

Answer:

Step-by-step explanation:

First, we write the rental cost with each company:

Company A Pa = 100 + 0.2*m

Company B Pb = 60 + 0.7*m

Where m: miles travelled

Now, we need to find "number of miles in a day at which the rental costs for Company A and Company B are the same". This means Pa = Pb. Then:

100 + 0.2*m = 60 + 0.7*m

Solving the equation for m by taking 0.2m and 60 on both sides:

100 + 0.2*m - 0.2*m - 60 = 60 + 0.7*m - 0.2*m - 60

40 = 0.5*m

Finally, dividing 0.5 on both sides:

m = 80

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Answer:

Un teorema tematico o un teorema matematico?

Step-by-step explanation:

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3 years ago
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Vikki [24]

Answer:

angle b is 62 degrees. This is because if we solve for x, by putting the 2 equations equal to each other(because they are vertical angles), than we figure out that x=6. Now plug that into angle b's equation, and you get 62 degrees.

Step-by-step explanation:

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3 years ago
Simplify: 3d + 4 + 9d – 8 A. 12d + 4 B. 12d – 4 C. 6d + 12 D. 6d – 12
SVEN [57.7K]

Answer:

B) 12d-4

Step-by-step explanation:

3d+4+9d-8

3d+9d+4-8

12d+4-8

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4 0
3 years ago
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Hi! I need help with the attached question in calc. Thank you:)
Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

\displaystyle V=\pi \int_a^b [R(y)]^2\, dy

So:

\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy

Simplify:

\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy

Integrate:

\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]

Evaluate (I ignored the 0):

\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi

We acquire the exact same answer.

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2 years ago
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deff fn [24]

Answer:

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You can't prove it with SSS or ASA without more info

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