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SVETLANKA909090 [29]
3 years ago
11

Solve the given simultaneous equations : 2x + 3y = 17 ; 3x - 2y = 6

Mathematics
1 answer:
34kurt3 years ago
4 0

Answer:

x= 4, y=3

Step-by-step explanation:

2x + 3y = 17

3x - 2y = 6

----------

<u>If we double the first and triple the second equation, and add up, we can get rid of y:</u>

  • 4x+6y= 34
  • +
  • 9x - 6y= 18
  • -----------------
  • 13x= 52
  • x= 4

<u>Then it is easy to find the value of y:</u>

  • 2*4+3y= 17
  • 3y= 9
  • y= 3

<u>Answer is</u>: x= 4, y=3

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Sylvia invested 500 in an account compounded annually with an interest rate of 8%. Manuel invested 600 in an account with a comp
il63 [147K]

Answer:

Sylvia's investment would double first

Step-by-step explanation:

The number of years it takes for amount invested to double itself using the 72 rule is 72 divided by rate of interest as computed below:

Sylvia investment:

Sylvia's investment would double in 9 years' time  (72/8)

Manuel's investment"

Manuel investment of $600 would double itself in 9.9 years' time (72/7.25)

From the above analysis,Sylvia's investment of $500 at the 8% rate of interest would double first

8 0
3 years ago
Which inequality represents all the solutions of -5x+5 &gt; 160 - 10x?
Tcecarenko [31]

Answer:

x > 31

Step-by-step explanation:

Given

- 5x + 5 > 160 - 10x ( add 10x to both sides )

5x + 5 > 160 ( subtract 5 from both sides )

5x > 155 ( divide both sides by 5 )

x > 31

6 0
4 years ago
Read 2 more answers
2. Evaluate b^-3for b = 3.<br> •27<br> •1/9<br> •1/27<br> •-27
amm1812

Answer:

\underline{ \boxed{ \frac{1}{27} }}

Step-by-step explanation:

given \to \: b^{-3} \:  \\ if \:  b = 3. \to \\ 3^{-3}  =  \frac{1}{3 {}^{3} }  =  \underline{ \boxed{ \frac{1}{27} }}

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8 0
3 years ago
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Showmwor km and explain 11 points
PSYCHO15rus [73]
Good 'ol ratio and proportion


so what yo do is
known ratio=unknown ratio

so first one
oranges
number of oranges to cost=5:2
find the cost of 2 dozen (24) oranges
number of oranges to cost=5:2
5:2=24:?
5/2=24/?
times both sides by 2 times ?
5 times ?=48
divide both sides by 5
?=9.6
2 dozen oranges costs $9.60




this one I can't see how many days
but for x days, the cost is x times $60


john drove some distance
distance to amount of gas is 48:2
how much gas needed for 78 miles
48:2=78:?
48/2=78/?
times both sides by 2?
48?=156
divide both sides by 48
?=3.25
used 3.25 gallons for 78 miles
6 0
3 years ago
I need help woth question and my test
Maksim231197 [3]

Answer:

28.26 cm^2

Step-by-step explanation:

The area of the quarter circle is the area of the circle / 4. Thus, the area is \frac{\pi r^2}{4} = \frac{3.14*6^2}{4} = 28.26 square centimeters

8 0
3 years ago
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