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Vera_Pavlovna [14]
3 years ago
9

Manuel bought a set of tracks for $35 and 8 individual train cars,

Mathematics
1 answer:
GaryK [48]3 years ago
7 0

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

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Need help with this math question!​
In-s [12.5K]

Answer:

<h2>y = 51.2</h2>

Step-by-step explanation:

\dfrac{y}{32}=\dfrac{16}{10}\qquad\text{cross multiply}\\\\10y=(32)(16)\\\\10y=512\qquad\text{divide both sides by 10}\\\\\dfrac{10y}{10}=\dfrac{512}{10}\\\\y=51.2

5 0
3 years ago
If a^2+1/a^2=79 where (a&gt;0), find the value of a^3 +1/a^3
Nastasia [14]

Note the binomial expansion,

(<em>a</em> + 1/<em>a</em>)³ = <em>a</em> ³ + 3<em>a</em> + 3/<em>a</em> + 1/<em>a</em> ³

so

<em>a</em> ³ + 1/<em>a</em> ³ = (<em>a</em> + 1/<em>a</em>)³ - 3 (<em>a</em> + 1/<em>a</em>)

Similarly,

(<em>a</em> + 1/<em>a</em>)² = <em>a</em> ² + 2 + 1/<em>a</em> ²

We're given <em>a</em> ² + 1/<em>a</em> ² = 79, so

(<em>a</em> + 1/<em>a</em>)² - 2 = 79

(<em>a</em> + 1/<em>a</em>)² = 81

<em>a</em> + 1/<em>a</em> = ±9

but <em>a</em> > 0, so we ignore the negative solution.

Then

<em>a</em> ³ + 1/<em>a</em> ³ = 9³ - 3×9 = 702

7 0
3 years ago
Solve please. 20 points.
Yakvenalex [24]

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13  one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

5 0
3 years ago
7. You deposit $675 in a savings account that earns 6% interest compounded monthly.
GrogVix [38]

Answer:

634.5

Step-by-step explanation:

7 0
3 years ago
Simplify<br><br><img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7y%7D%20%20%5Ctimes%20%20%7B81%7D%5E%7B8y%7D%20%5Ctimes%20%20%
Papessa [141]

Answer

3^{7y} * 81^{8y} * 3^9  * 27^{-9y} = 3^{7y} * (3^4)^{8y} * 3^9  *(3^3)^{-9y}          

                                =3^{7y} * (3)^{32y} * 3^9  *(3)^{-27y}\\\\=3^{7y +32y +9 -27y}\\\\=3^{12y+9}

Tip :    

\frac{1}{27^{9y}}  = 27^{-9y} = (3^3)^{-9y} = 3^{-27y}                          

5 0
3 years ago
Read 2 more answers
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