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Luda [366]
3 years ago
14

Given 2(3x - 8) = 26 Prove x = 7

Mathematics
1 answer:
EastWind [94]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

2(3x - 8) = 26

First distribute the left side:

6x - 16 = 26

Add 16 to both sides

6x = 42

Divide both sides by 6

x = 7

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This is from Khan academy I have to attach a PNG if you can help me solve it! Thank you!
Andre45 [30]

Step-by-step explanation:

29 {}^{ \frac{x}{2} }

((29) {}^{ \frac{1}{2} } ) {}^{x}

The answer is A

4 0
2 years ago
If a five digit number is rounded to the ten thousands place is it possible for the rounded number to be a six digit number.
Bingel [31]
When rounding a number, the digit of the number can be increased up to 1, but the digit won't be decreased. So, it is possible to round a five digit number into six digit number. But to increase the number digit, the number should be rounded up. To be rounded up, a number should have value 5 or more.
4 0
4 years ago
A rug is to fit in a room so that a border of even width is left on all four sides. if the room is 22 feetby 25 feet and the are
Damm [24]
--------------------------------------------------------
Find area of the border :
--------------------------------------------------------
Area of the room = 22 x 25 = 550 ft²
Area of the rug = 238 ft²
Area of the border = 550 - 238 = 312 ft²

--------------------------------------------------------
Define y:
--------------------------------------------------------
Let the width be y.

--------------------------------------------------------
Find area of the border in term of y :
--------------------------------------------------------
The area of the border =  22y x 2 + 25y x 2 - 4y² = 94y - 4y²
*We need to take away 4y² because the 4 corners will be overlap twice if we don't.

--------------------------------------------------------
Solve y :
--------------------------------------------------------
94y - 4y² = 312
4y² - 94y + 312 = 0
2y² - 47y + 156 = 0 
<span>(y - 4)(2y - 39) = 0
</span>y = 4 or y = 19.5
 
--------------------------------------------------------
Answer: The border can be 4 ft or 19.5 ft 
--------------------------------------------------------



7 0
4 years ago
Use substitution to solve the system of equations<br><br>2x + 3y = 4<br>4x + 6y=9​
katen-ka-za [31]

Answer:

<em>no solution</em>

Step-by-step explanation:

Try getting a variable by itself, (I'm going to do so with 2x)

In order to do that I need to subtract 3y from both sides

The equation should now be

2x= -3y+4

Now divide by 2 to get x by itself

x= -3/2y+2

You can now plug x into 4x+6y=9

4(-3/2y+2)+6y=9

Distribute 4

-6y+8+6y=9

y cancels out and you're left with 8=9, which is untrue, so the answer is no solution

6 0
3 years ago
Read 2 more answers
Describe how you would compare 3.6 and the square root of 12
dlinn [17]

Step-by-step explanation:

3.6 >   \sqrt{12}  = 3.4

the answer to the question

4 0
3 years ago
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