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Allisa [31]
4 years ago
15

A taxi driver charges an initial fee of $2.00 plus $0.30 per mile. What is the independent variable quantity in this situation?

Mathematics
1 answer:
Effectus [21]4 years ago
5 0

Answer: The .30 per mile is the independent, because it is manipulated, and changed throughout. DRY MIX : Dependent, Responding, Y axis. Manipulated, Independent, X axis.

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*5. Gina's sister is 9 years older than Gina. Their combined ages add up to
Wittaler [7]

Answer:

B. 20 years

Step-by-step explanation:

By using the process of trial and error, if Gina is 20 years old, that would mean her sister is 29 years old. This is because 20+9 is equal to 29. 29+20 sums up to 49.

6 0
3 years ago
Read 2 more answers
A rancher has 400 feet of fencing to put around a rectangular field and then subdivide the field into 22 identical smaller recta
Fudgin [204]

Answer:

Overall rectangle: 100 ft × 8 16/23 ft ≈ 100 ft × 8.696 ft

Individual pen: 8 16/23 ft × 4 6/11 ft ≈ 8.696 ft × 4.545 ft

Step-by-step explanation:

Half the fence will be used in each of the orthogonal directions to make the pen. That is, the long side of the overall rectangle will be (400 ft/2)/2 = 100 ft. The short side of the overall rectangle will be (400 ft/2)/23 = 8 16/23 ft. (There are 21 partitions between the 22 pens, and 2 end fences, for a total of 23 fence segments of the short length.)

The long (100 ft) side of the overall rectangle is divided into 22 parts by the internal partitions, so each pen will have a short dimension of 100 ft/22 = 4 6/11 ft.

_____

We know half the fence will be used in each direction because we know the total area is a quadratic function of the side length. If the long side of the overall pen is x, then the short side is (400 ft -2x)/23, and the overall area is ...

... A = x(400 ft -2x)/23

The vertex of this quadratic function is halfway between the zeros, at x = 100 ft. That is, the two long sides of the pen total 200 ft, or half the overall length of fence.

3 0
3 years ago
Factor out the greatest common factor of the expression below using the distributive property.
Umnica [9.8K]
Greatest common factor which is 30
6 0
4 years ago
Read 2 more answers
The diagram below shows a pedigree analysis for several generations of a family, in which several members are affected by an aut
pashok25 [27]
Your answer is A, you can be a carrier and not have the disorder
5 0
3 years ago
Does anyone know the answer to this?
PolarNik [594]

Answer:

(B) The exponents should be subtracted by the quotient rule of exponents

Step-by-step explanation:

Let's examine how this was solved.

(\frac{4^2 4^3}{4^{-5}})^2

He first rose everything in the parentheses to the second power, which is just multiplying all the exponents by 2. This is correct.

\frac{4^4 4^6}{4^{-10}}

He then combined the numerator exponents. Exponent rules say that a^b \cdot a^c = a^b+c, so he should have ended up with 4^{10}, which he did. This is correct.

\frac{4^{10}}{4^{-10}}

Now, what he did in the final step is wrong. He added the exponents. However, exponent rules tell us that when we have \frac{a^b}{a^c}, it equals a^{b-c}.

10 - (-10) = 10+10 = 20

So the final answer should have been 4^{20}

Hope this helped!

6 0
4 years ago
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