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Step2247 [10]
3 years ago
13

Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution? (

1 point)
Select one:
a. Divide both sides by 6 and then add 3. The solution is x = 5.
b. Add 6 to both sides of the equation and then divide by 3. The solution is x = 9.
c. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 8.
d. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 5.
Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer:

d

Step-by-step explanation:

3x+6=21

-6+21= 15

15÷3=5

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Solve for x
Anon25 [30]

Answer:

3. x = y - 3

Step-by-step explanation:

You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.

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One end point of a line segment is ( -3, -6 ) The length of the line segment is 7 units find four points that could serve as the
Anika [276]

Answer:

(4, -6), (-10, -6), (-3, 1), (-3, -13)

Step-by-step explanation:

If we add/subtract t to/from any x/y coordinate, we will form a line segment with length 7. Hence, (4, -6), (-10, -6), (-3, 1), (-3, -13).

3 0
3 years ago
The mean preparation fee H&R Block charged retail customers in 2012 was $183 (The Wall Street Journal, March 7, 2012). Use t
astraxan [27]

Answer:

a)0.6192

b)0.7422

c)0.8904

d)at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

Step-by-step explanation:

Let z(p) be the z-statistic of the probability that the mean price for a sample is within the margin of error. Then

z(p)=\frac{ME*\sqrt{N}}{s } where

  • Me is the margin of error from the mean
  • s is the standard deviation of the population
  • N is the sample size

a.

z(p)=\frac{8*\sqrt{30}}{50 } ≈ 0.8764

by looking z-table corresponding p value is 1-0.3808=0.6192

b.

z(p)=\frac{8*\sqrt{50}}{50 } ≈ 1.1314

by looking z-table corresponding p value is 1-0.2578=0.7422

c.

z(p)=\frac{8*\sqrt{100}}{50 } ≈ 1.6

by looking z-table corresponding p value is 1-0.1096=0.8904

d.

Minimum required sample size for 0.95 probability is

N≥(\frac{z*s}{ME} )^2 where

  • N is the sample size
  • z is the corresponding z-score in 95% probability (1.96)
  • s is the standard deviation (50)
  • ME is the margin of error (8)

then N≥(\frac{1.96*50}{8} )^2 ≈150.6

Thus at least 151 sample is needed for 95% probability that sample mean falls within 8$ of the population mean.

7 0
3 years ago
-4/9x=16/27 alguien que me ayude
Andre45 [30]
<h3>Answer</h3>

First multiply everything by 27

-  \frac{4}{9} x =  \frac{16}{27}  =  \\ 27 \times ( -  \frac{4 }{9}x) = 27 \times  \frac{16}{27}

Then approximate the terms with 27 if it's possible (27 and 9) (27 and 27)

3 \times (   - \frac{4}{1} ) = 16

So now multiply again

3 \times ( - 4) =  - 12

And you have

- 12x = 16

x =  -  \frac{16}{12}  =  -  \frac{4}{3}

You're welcome if it's right

4 0
3 years ago
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