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1 year ago

Solve system of equation using elimination by addition. Will give brainliest!!

Mathematics

1 answer:

Rainbow [258]1 year ago

3 0

Answer:

x = 6

Step-by-step explanation:

Add the system of equations together:
2x - 3y = 12

4x + 3y = 24

you get

6x = 36

divide by the coefficient

6x/6 = 1

36/6 = 6

x = 6

Not sure if you need the y, but if so, let me know!

Hope this helps!

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Solve the triangle that has a=4.6, B=19°, A=92° (picture provided)

kolezko [41]

Answer:

Option b

Step-by-step explanation:

To solve this problem use the law of the sines.

We have 2 angles of the triangle and one of the sides.

$a = 4.6\\B = 19\°\\A = 92\°\\C = 180 -A - B\\C = 180 - 92 - 19\\C = 69\°$

The law of the sines is:

$\frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}$

Then:

$\frac{sin(92)}{4.6} = \frac{sin(19)}{b}\\\\b = \frac{sin(19)}{\frac{sin(92)}{4.6}}\\\\b = 1.5$

$\frac{sin(B)}{b} = \frac{sin(C)}{c}\\\\\frac{sin(19)}{1.5} = \frac{sin(69)}{c}\\\\c = \frac{sin(69)}{\frac{sin(19)}{1.5}}\\\\c = 4.30$

8 0

3 years ago

Solve for y 3x+11y=-5

mars1129 [50]

$\displaystyle 3x+11y=-5\quad\Big| -3x\\\\11y=-5-3x\quad\Big|:11\\\\y= -\frac{5+3x}{11}$

6 0

3 years ago

Please answer ASAP! Consistently wash your hands for a good minute.

8_murik_8 [283]

Answer:

20 inches

Step-by-step explanation:

x/2=10

20/2=10

8 0

3 years ago

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence?

VladimirAG [237]

First, we start off with the nth term formula for an arithmetic sequence, which is
$a_{n} =a_{1}+(n-1)d$

plug in the sequence numbers where they belong

$a_{n}=5+(n-1)*(-4)
$
$a_{n}=5+(-4n+4)$
$a_{n}=5-4n+4$
$a_{n}=-4n+9$

And this is the final answer
$-4n+9$

4 0

3 years ago

Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment. What percent interest did he earn in total? G

Nady [450]

Answer: He earned 0.831% interest in total.

Step-by-step explanation:

Given: Shawn earned $2.77 per day for three days as interest on his $1,000.00 investment.

Interest per day = $2.77

Interest in 3 days = 3 x ($2.77)

= $8.31

Invested amount= $1000

Required percentage of earnings = $\dfrac{\text{Interest earned in 3 days}}{\text{Initial investment}}\times100$

$=\dfrac{8.31}{1000}\times100=0.831\%$

Hence, he earned 0.831% interest in total.

7 0

3 years ago