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deff fn [24]
3 years ago
9

2) -4x – 6(3x + 4) = -4 + 8(1 - x)

Mathematics
2 answers:
likoan [24]3 years ago
5 0

Answer:

x=-2

Step-by-step explanation:

-4x – 6(3x + 4) = -4 + 8(1 - x)

Distribute

-4x – 18x  -24 = -4 + 8 -8x

Combine like terms

-22x -24 = 4-8x

Add 22x to each side

-22x+22x -24 = 4-8x+22x

-24 =4+14x

Subtract 4 from each side

-24-4 = 4+14x-4

-28 = 14x

Divide each side by 14

-28/14 =14/14

-2 =x

ella [17]3 years ago
5 0

Answer:

x = -2

Step-by-step explanation:

-4x – 6(3x + 4) = -4 + 8(1 - x)

combine like terms

-22x - 24 = -4 + 8 - 8x

Move the variable to the left-hand side and change the sign

-22 + 8 x - 24 =4

-14x = 4 + 24

-14x = 28

Divide both sides of the equation by -14

x = -2

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Rachel multiplied each side of x ≥ 2 by 3. She wrote the result as 3x ≤ 6. Explain the error Rachel made.
andrey2020 [161]

Answer:

Her mistake was to change the inequality sign from ≥ to ≤.

The sign only changes when you multiply or divide both sides of an inequality by a negative number.

6 0
2 years ago
The circumference of a circle is 6.28 millimeters. What is the circle's radius?
Aleksandr [31]

Circumference of a circle =2πr

6.28=2πr

3.14=πr

3.14/π=r

3.14/3.14=r

<h2>therefore,r=1</h2>
6 0
2 years ago
Jason can paint a wall in 20 minutes. Leah can paint the same wall in 10 minutes.
Vilka [71]

Answer:

There is no solution to this answer.

Step-by-step explanation:

Leah's rate is 10x

Jason's rate is 20x

If you solve for 20x=10x, you get no solution. They are parallel lines.

8 0
3 years ago
Use technology and the given confidence level and sample data to find the confidence interval for the population mean mu . assum
attashe74 [19]

To solve for the confidence interval for the population mean mu, we can use the formula:

Confidence interval = x ± z * s / sqrt (n)

where x is the sample mean, s is the standard deviation, and n is the sample size

 

At 95% confidence level, the value of z is equivalent to:

z = 1.96

 

Therefore substituting the given values into the equation:

Confidence interval = 3 ± 1.96 * 5.8 / sqrt (51)

Confidence interval = 3 ± 1.59

Confidence interval = 1.41, 4.59

 

Therefore the population mean mu has an approximate range or confidence interval from 1.41 kg to 4.59 kg.

6 0
2 years ago
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bre
Aleksandr [31]

Answer:

32

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread    :      Choc - chip

          2          :        3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

                                         ⇒ 32

Hope this helps you :-)

5 0
2 years ago
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