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3 years ago

Does x=5 satisfy 3(x+1)=3x+3

Mathematics

1 answer:

Svetradugi [14.3K]3 years ago

3 0

Answer:

Yes

Step-by-step explanation:

Well let's solve it!

In order to solve this, plug in x into the equation.

Let's do the side on the LEFT of the equal sign first.

3(3+1) = 3(4) = 12

Now Let's do the side on the RIGHT of the equal sign.

3(3) + 3 = 9+3 = 12

So this means they are equal or congruent!

Hope this Helped!

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Why did the British sign the Treaty of Paris? What did Great Britain agree to do under the treaty?

bearhunter [10]

Answer: They signed it to end the Revolutionary War. They promised to recognise American independence and ceded territory east of the Mississippi River to the U.S

Step-by-step explanation:

5 0

2 years ago

jacob wants to buy packets of fruit juice. on tuesday, he buys 8 packets of orange and 6 packets of Apple the packets make a tot

ioda

Answer:

Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

Step-by-step explanation:

Let number of cups of juice in each packet of orange be 'x'.

Let number of cups of juice in each pack of apples be 'y'.

Given:

On Tuesday;

Number of packets of oranges = 8

Number of packets of apples = 6 packets.

Amount of fruit juice = 34 cups

So we can say that;

Amount of fruit juice is equal to sum of Number of packets of oranges multiplied by number of cups of juice in each packet of orange and Number of packets of apples multiplied by number of cups of juice in each pack of apples.

framing in equation form we get;

$8x+6y=34 \ \ \ \ equation \ 1$

On Wednesday;

Number of packets of oranges = 14

Number of packets of apples = 6

Amount of fruit juice = 46 cups

So we can say that;

framing in equation form we get;

$14x+6y=46 \ \ \ \ equation \ 2$

Now Subtracting equation 1 from equation we get;

$14x+6y-(8x+6y)=46-34\\\\14x+6y-8x-6y=12\\\\6x=12$

Now dividing both side by 6 we get;

$\frac{6x}{6}=\frac{12}{6}\\\\x=2\ cups$

Now we will substitute the value of 'x' in equation 1 we get;

$8x+6y=34\\\\8\times2+6y=34\\\\16+6y=34$

Subtracting both side by 16 we get;

$16+6y-16=34-16\\\\6y= 18$

Now dividing both side by 6 we get;

$\frac{6y}{6}=\frac{18}{6}\\\\y=3$

Hence Each packet of orange can make 2 cups of juice and each packets of Apple can make 3 cups of juice.

5 0

3 years ago

20 is what percent of 52

Maslowich

The process here is finding out the smallest number's % towards the largest number.

Divide 20 by 52:
20/52 = 0.38 (estimated) | This is the % in decimal form, which is 38%.

Conclusion: 20 is 38% of 52.

{---Further Elaboration for Future Reference---}

Finding the Smallest Number:

What number is 25% of 60?

Multiply 60 by the decimal form of 25%.
60 * 0.25 = 15 | 15 is 25% of 60.

Finding the Percentage. (Like what we already did.)

30 is what percent of 150?

Divide 30 by 150.
30/150 = 0.2 | 30 is 20% of 150.

Finding the Largest Number.

12 is 30% of what number?

Divide 12 by the decimal form of 30%.
12/0.3 = 40 | 12 is 30% of 40.

I hope this helps, have a great rest of your day! ^ ^
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5 0

3 years ago

Read 2 more answers

Study island question...need help...PLSSSS HELP MEHHHHHH!!! 1 pic included...

OlgaM077 [116]

Answer:

Step-by-step explanation:

Keep a consistent ratio of 4:2, and we need a total of 36 glasses of punch.

So if the ratio 4:2 is a total of 6, then we would need 6 times the amount because 6*6 is 36. So 4 and 2 * 6 or 6 (4+2) = 24+12. So the answer is C.

Hope this helps in some way.

4 0

3 years ago