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MrRa [10]
3 years ago
5

What is the smallest solution to this equation?​

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

x = - 6

Step-by-step explanation:

Given

\frac{2}{3} x² = 24 ( multiply both sides by 3 )

2x² = 72 ( divide both sides by 2 )

x² = 36 ( take the square root of both sides )

x = ± \sqrt{36} ← note plus or minus

x = ± 6

solutions are x = - 6, x = + 6

The smallest solution is x = - 6

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4 7/10 + 6/8 Fractions please help cant solve. used two methods but answer isnt the same as the answer page from the book
erastova [34]

Answer:

5 9/20

Step-by-step explanation:

4 7/10 + 6/8

Simplify the fractions by dividing the second top and bottom  by 2

4 7/10 + 3/4

Getting a common denominator of 20

4 7/10 *2/2  + 3/4 * 5/5

4 14/20  + 15/20

4 29/20

4 + 20/20 + 9/20

4+1+9/20

5 9/20

6 0
3 years ago
Read 2 more answers
Whats wrong in this equation ?
Inga [223]
The second step is wrong. What should've been done is to find greatest common factor (gcf) of 1/6 and -2. This is because you cannont add together a number with a variable to a number without a variable. So get the variable by itself by subtracting 1/6 from both sides.

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________


Turn -2 into a fraction and find the gcf of -2 and 6:

1/5x + 1/6 = -2
___— 1/6_— 1/6
____________

1/5x = -2/1 — 1/6 ——> 1/5x = -12/6 — 1/6
1/5x = -13/6

Then divide each side by 1/5 to get the variable by itself; remeber: when dividing a fraction by a fraction, you multiply by the reciprocal.

5/1 • 1/5x = -13/6 • 5/1
x = 65/6

Then, simplify

65/6} 10.83 or 10 83/100
6 0
3 years ago
Can someone please answer 8|x+2|-6=5|x+2|+3
Anettt [7]

Step-by-step explanation:

8|x+2|-6=5|x+2|+3

|8x+16|-6=|5x+10|+3

I've been thinking... Is that | or (? Are you sure it's |?

Oh well, I'm continuing...

8x+16-6=5x+10+3

8x+10=5x+13

3x=3

x=1

4 0
4 years ago
Arnold takes 12 minutes to swim 10 lengths of a pool whose length is 50 meters. If he swims at a constant speed, how long does i
Phoenix [80]
It will take him 240 min and if u convert that it will take him 4 hours
5 0
2 years ago
University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence inter
baherus [9]

Answer:

The interval estimate is above 70%, so infer that it will be supported.

Step-by-step explanation:

The evidence that 95% confidence interval estimating the proportion of students supporting the fee increase is [0.75, 0.85] supports university officials' claim that at least 70% of the voting student population supports a fee increase.

Therefore we can infer that a fee increase will be supported.

4 0
3 years ago
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