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-BARSIC- [3]
3 years ago
7

Arie ran an equal number of miles each day for 12 days. He ran 60 miles in total.

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer: he ran 5 days

Step-by-step explanation: if he ran an equal amount and he ran 60 miles over 12 days the 60 divided by 12 is 5. Hope it helps!!

Nezavi [6.7K]3 years ago
7 0

Answer:

5 miles/day

Step-by-step explanation:

This is a division problem.

(60 miles)/(12 days) = 5 miles/day

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Sienna, Rhys, and Micah are all reading the same book for school. Sienna has read 40% as far as Rhys has, and Rhys has read 40%
ruslelena [56]

Based on the fact that Sienna has read 60 pages, we can infer that Micha has read 375 pages of the book.

Sienna has read 40% of what Rhys has read and that corresponds to 60 pages. The number of pages read by Rhys is therefore:

<em>= Number of pages / Percentage read </em>

= 60 / 40%

= 150 pages

The 150 pages read by Rhys is 40% of what Micah has read. Micah has therefore read:

= 150 / 40%

= 375 pages

In conclusion, Micah has read 375 pages.

<em>Find out more at brainly.com/question/2807698.</em>

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2 years ago
What is the surface area of this right rectangular prism? Enter your answer as a
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You will find all of the surface area of all of the sides and add them together to find the surface area of the retangular prisim. So, what I would do is the front and back are both 54, so 108. The sides are 27, so 54. The top and bottom are 18, so 36. Add them together, and you will get 198. I hope this helps.

6 0
3 years ago
There is a 60% probability that a home in the United States has a large-screen TV. In a sample of six homes, what is the probabi
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Step-by-step explanation:

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3 0
3 years ago
Which of the following is an equation?<br> x+y<br> 2x – 7 = 13<br> 3x + 5y &gt; 9<br> 3x + 5y - 9
Gelneren [198K]
2x -7=13 is an equation because it has an equal sign.
6 0
2 years ago
Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficie
Dvinal [7]
For part (a), you have

\dfrac x{x^2+x-6}=\dfrac x{(x+3)(x-2)}=\dfrac a{x+3}+\dfrac b{x-2}
x=a(x-2)+b(x+3)

If x=2, then 2=b(2-3)\implies b=-2.

If x=-3, then -3=a(-3-2)\implies a=\dfrac35.

So,

\dfrac x{x^2+x-6}=\dfrac 3{5(x+3)}-\dfrac 2{x-2}

For part (b), since the degrees of the numerator and denominator are the same, you first need to find the quotient and remainder upon division.

\dfrac{x^2}{x^2+x+2}=\dfrac{x^2+x+2-x-2}{x^2+x+2}=1-\dfrac{x+2}{x^2+x+2}

In the remainder term, the denominator x^2+x+2 can't be factorized into linear components with real coefficients, since the discriminant is negative (1-4\times1\times2=-7). However, you can still factorized over the complex numbers, so a partial fraction decomposition in terms of complexes does exist.

x^2+x+2=0\implies x=-\dfrac12\pm\dfrac{\sqrt7}2i
\implies x^2+x+2=\left(x-\left(-\dfrac12+\dfrac{\sqrt7}2i\right)\right)\left(x-\left(-\dfrac12-\dfrac{\sqrt7}2i\right)\right)
\implies x^2+x+2=\left(x+\dfrac12-\dfrac{\sqrt7}2i\right)\left(x+\dfrac12+\dfrac{\sqrt7}2i\right)

Then you have

\dfrac{x+2}{x^2+x+2}=\dfrac a{x+\dfrac12-\dfrac{\sqrt7}2i}+\dfrac b{x+\dfrac12+\dfrac{\sqrt7}2i}
x+2=a\left(x+\dfrac12+\dfrac{\sqrt7}2i\right)+b\left(x+\dfrac12-\dfrac{\sqrt7}2i\right)

When x=-\dfrac12-\dfrac{\sqrt7}2i, you have

-\dfrac12-\dfrac{\sqrt7}2i+2=b\left(-\dfrac12-\dfrac{\sqrt7}2i+\dfrac12-\dfrac{\sqrt7}2i\right)
\dfrac32-\dfrac{\sqrt7}2i=-\sqrt7ib
b=\dfrac12+\dfrac3{2\sqrt7}i=\dfrac1{14}(7+3\sqrt7i)

When x=-\dfrac12+\dfrac{\sqrt7}2i, you have

-\dfrac12+\dfrac{\sqrt7}2i+2=a\left(-\dfrac12+\dfrac{\sqrt7}2i+\dfrac12+\dfrac{\sqrt7}2i\right)
\dfrac32+\dfrac{\sqrt7}2i=\sqrt7ia
a=\dfrac12-\dfrac3{2\sqrt7}i=\dfrac1{14}(7-3\sqrt7i)

So, you could write

\dfrac{x^2}{x^2+x+2}=1-\dfrac{x+2}{x^2+x+2}=1-\dfrac {7-3\sqrt7i}{14\left(x+\dfrac12-\dfrac{\sqrt7}2i\right)}-\dfrac {7+3\sqrt7i}{14\left(x+\dfrac12+\dfrac{\sqrt7}2i\right)}

but that may or may not be considered acceptable by that webpage.
5 0
2 years ago
Read 2 more answers
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