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3 years ago

Solve 23(3x+9)=−2(2x+6).

Mathematics

2 answers:

Alchen [17]3 years ago

4 0

Simplify both sides then distribute.
(23 * 3x) + (23 * 9) = (-2 *2x) + (-2*6)
(69x) + (207) = (-4x) + (-12)
Add the lowest variable to both sides which turns 69x to 73x.
73x +207 = -12
Subtract 207 from both sides.
73x = -219
Divide both sides by 73.
73x/73 = -219/73

Answer: x = -3

aev [14]3 years ago

3 0

I think this is the answer. Hope it helps!!!

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What is wrong with the labels on the kitchen triangle?

dybincka [34]

Answer:

It is an isosceles triangle so the 6 is not correct. We can use the Pythagorean Theorem and 64 does not equal 36+16.

Step-by-step explanation:

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3 years ago

We have a jar of coins, all pennies and dimes. All together, we have 309 coins, and the total value of all coins in the jar is $

Vinvika [58]

There are 130 pennies in the jar

Step-by-step explanation:

We have a jar of coins

All coins are pennies and dimes
There are 309 coins in the jar
The total value of all coins in the jar is $ 19.2

We need to find the number of pennies in the jar

Assume that there are p pennies and d dimes in the jar

∵ There are p pennies and d dimes in the jar

∵ There are 309 coins in the jar

∵ All the coins in the jar are pennies and dimes

∴ p + d = 309 ⇒ (1)

∵ The total value of all coins in the jar is $ 19.2

∵ $1 = 100 cents

∴ $19.2 = 19.2 × 100 = 1920 cents

∵ 1 penny = 1 cent

∵ 1 dime = 10 cents

∴ p + 10 d = 1920 ⇒ (2)

Now we have system of equations, we can solve them to find p

∵ p + d = 309 ⇒ (1)

∵ p + 10 d = 1920 ⇒ (2)

- Multiply equation (1) by -10 to eliminate d

∵ (-10)(p) + (-10)(d) = (-10)(309)

∴ -10 p - 10 d = -3090 ⇒ (3)

Add equations (2) , (3)

∴ -9 p = -1170

- Divide both sides by -9

∴ p = 130

There are 130 pennies in the jar

Learn more:

You can learn more about the system of equations in brainly.com/question/3739260

#LearnwithBrainly

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3 years ago

What is the perimeter of a rectangle with sides 2/3x+10 and 1/3x+5

gogolik [260]

Answer:

The perimeter of the rectangle is 2x+ 30

Step-by-step explanation:

Sides of the rectangle are 2/3x+10 and 1/3x+5

Now, Perimeter of the Rectangle = 2(Length + Breadth)

Here, sum of the sides = $(\frac{2}{3}x + 10 ) + (\frac{1}{3}x + 5 ) = (\frac{2}{3}x +\frac{1}{3}x ) + ( 10+ 5 )$

adding like terms with like terms, we get

( $\frac{2x + x}{3}) + 15 = \frac{3x}{3} + 15$

Hence, Sum = (x + 15)

Now, 2(Length + Breadth) = 2(x+15) = 2x + 30

hence, the perimeter of the rectangle = 2x+ 30

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3 years ago

Anura found a can of paint that was full. She was able to paint 3 fence posts with the paint. What fraction of the can of paint

Aleksandr-060686 [28]

She used 1/3 of of the paint can on a single fence post

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3 years ago

Read 2 more answers

What are the roots of the equation x^2+6x-9=0

Mila [183]

Answer:

x = approx. 1.24 or -7.24

Step-by-step explanation:

It's hard to factor directly so we should use the quadratic formula or complete the square. I'm going to go with completing the square.

x²+6x-9=0

x²+6x=9

x²+6x is the same as x²+2·3·x, in order to make this into the algebraic identity (A+B)²=A²+2AB+B², we must add B², or in this case 3² to both sides. (A is x, B is 3)

x²+6x+9=18

(x+3)²= 18

x+3= ±√18

x= ±4.24 -3 (approximately 4.24)

First solution for x = 4.24-3 = 1.24

Second solution for x = -4.24-3 = -7.24

4 0

3 years ago