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vfiekz [6]
2 years ago
12

What is the solution to this system of equations 5x+2y=29 X+4y=13

Mathematics
1 answer:
sp2606 [1]2 years ago
3 0

Answer:

(5, 2 )

Step-by-step explanation:

5x + 2y = 29 → (1)

x + 4y = 13 → (2)

multiplying (1) by - 2 and adding to (2) will eliminate y

- 10x - 4y = - 58 → (3)

add (2) and (3) term by term to eliminate y

- 9x + 0 = - 45

- 9x = - 45 ( divide both sides by - 9 )

x = 5

substitute x = 5 into either of the 2 equations and solve for y

substituting into (2)

5 + 4y = 13 ( subtract 5 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

solution is (5, 2 )

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X divided by 0.25 = 7<br> What is x equal to?
Mkey [24]

Answer:

x = 1.75

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

x divided by 0.25 = 7

\frac{x}{0.25}=7

<u>Step 2:  Multiply both sides by 0.25</u>

<u />\frac{x}{0.25} *\frac{0.25}{1} = 7 * 0.25

x = 1.75

Answer:  x = 1.75

7 0
3 years ago
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Cassie’s broker charges her a commission of $4.25 for every ten shares of stock bought or sold. cassie buys 92 shares of hyren a
Kisachek [45]

Cassie's total spent is equal to money spent on shares bought and commission charges of broker.


<u>Money spent on shares bought:</u>

  • 92 shares of Hyren Airlines at $13.70 per share = 92*13.7=1260.4
  • 130 shares of Giaco Household Goods at $3.28 per share = 130*3.28=426.4
  • 126 shares of Iwad Records at $8.06 per share = 126*8.06=1015.56

The sum total is 1260.4+426.4+1015.56=2702.36dollars


<u>Commission charges of broker:</u>

If broker charges $4.25 every 10 shares, he charges \frac{4.25}{10}=0.425 dollars per share.

Total number of shares bought by Cassie is 92+130+126=348 shares.

Total spent on commissions, thus, is 348*0.425=147.9 dollars.


Cassie's total money spent is 2702.36+147.9=2850.26 dollars.

Rounded to nearest dollar, it is $2850.


ANSWER: $2850

4 0
4 years ago
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What is other way to write 3x(4+7)​
pychu [463]

Answer:

(3x4)+(3x7)

Step-by-step explanation:

8 0
3 years ago
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Find volume of cone z=sqrt(x^2+y^2) that is bounded with z=5 and z=7
Nina [5.8K]
Convert to cylindrical coordinates first, using

\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}

Then the volume is

\displaystyle\int_{\zeta=5}^{\zeta=7}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\zeta}r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta
=\displaystyle\pi\int_{\zeta=5}^{\zeta=7}\zeta^2\,\mathrm d\zeta
=\dfrac{218\pi}3
5 0
3 years ago
(x/5) + 3 = 9<br> show your work
lisabon 2012 [21]

Answer:

x=30

Step-by-step explanation:

9 - 3 = (x/5)

6 = x/5

(x/5) = 6

x = 5x6

x = 30

Check

(30/5) + 3 = 9

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