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nirvana33 [79]
3 years ago
14

How do you do this equation? 9x+(y)i-5=-12+4

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0
9x+yi-5=-12+4\\\\(9x-5)+yi=-13\iff9x-5=-13\ and\ y=0\\\\9x=-13+5\\9x=-8\\x=-\frac{8}{9}\\\\Answer:x=-\frac{8}{9}\ and\ y=0.
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Answer:

$17,000 at 14% and $9,000 at 2%

Step-by-step explanation:

Let x = amount invested at 14%.

Let y = amount invested at 2%.

x + y = 26000

0.14x + 0.02y = 2560

     -0.02x - 0.02y = -520

(+)    0.14x + 0.02y = 2560

-------------------------------------

       0.12x              = 2040

x = 17,000

x + y = 26000

17000 + y = 26000

y = 9000

Answer: $17,000 at 14% and $9,000 at 2%

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A shirt that normally sells for $28 is on sale at a 10% discount. What is the sale price of the shirt?
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4 years ago
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Pradip and Pam have each a plate of apple slices in orange slices the ratio of apple slices to the total number of slices on pra
Zolol [24]

Answer:

pradis has more orange slices

reason:The ratio of apple slices to the total number of slices on Praxis plate is 4 to 11. This means for every 11 slices in Praxis plate, 4 of them are apple slices and 7 of them are orange slices. This also shows the total number of slices in Praxis plate is a multiple of 11.

First possibility of total number of slices in Praxis plate is 11. Another possibility of total number of slices in Praxis plate is 11 x 2 = 22. Since, it is given that total number of slices are not more than 20, so 22 slices are not possible in Praxis plate. So, the only possibility is 11 slices. From here we can conclude that: Number of slices  in Pam Plate:

The ratio of the total number of slices to orange slices on Pam plate is 13 to 6. This means for every 13 slices in Pam's plate there are 6 orange slices and 7 apple slices. This also show the total number of slices in Pam's plate is a multiple of 13.

The first possibility of total number of slices in Pam's plate is 13. The next possibility is 13 x 2 = 26 slices. But since the number of slices cannot be above 20, the only possibility is that there are 13 slices in Pam's plate. From here we can conclude that:

8 0
3 years ago
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If the midpoint of A (a, b) and B(-9, 6) is M(-3, 5):<br> Find the value of a.
WINSTONCH [101]

Answer:

\huge{ \fbox{ \text{3}}}

Step-by-step explanation:

\sf{A ( \: a \:, b \: )\:  \longrightarrow{ \: (x1 \:, y1)}}

\sf{ \: B( - 9 \: 6) \:  \longrightarrow{ (x2 \:, y2)}}

\boxed{ \sf{midpoint = ( \frac{x1 + x2}{2}  \: , \frac{y1 + y2}{2} )}}

\mapsto{ \sf{( - 3 \:, 5 \: ) \:  =  \: ( \frac{a + ( - 9)}{2}  \:,  \frac{b + 6}{2}}})

\mapsto{ \sf{( - 3 \:, 5) \:  =  \: ( \:  \frac{a  - 9}{2}  \:,  \frac{b + 6}{2} )}}

\sf{  \mapsto{ - 3 =  \frac{a - 9}{2} }}

Solve for a

\mapsto{ \sf{ - 6 = a - 9}}

\mapsto{ \sf{a - 9 =  - 6}}

\mapsto{ \sf{a =  - 6 + 9}}

\mapsto{ \sf{a = 3}}

The value of a is 3

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

7 0
4 years ago
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