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ra1l [238]
3 years ago
12

Lizzy wants to solve the equation 6(2x + 1) = 4x – 5. Which step would be an appropriate first step for Lizzy to take to solve f

or x?
Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

distribute parenthesis

Step-by-step explanation:

6(2x + 1) = 4x - 5 ← distribute parenthesis on left side

12x + 6 = 4x - 5 ( subtract 4x from both sides )

8x + 6 = - 5 ( subtract 6 from both sides )

8x = - 11 ( divide both sides by 8 )

x = - \frac{11}{8}

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How do i solve this: |6y+2|=2|2y-1|
ziro4ka [17]

Answer:

Step-by-step explanation:

Group like terms 6y-2y= 2-1-2

When a number goes over the equal sign= positive + changes to negative, vice versa.

So final answer is 4y= -1= -4y

Because 4 is decided by -1

7 0
3 years ago
Read 2 more answers
Choose yes or no to tell whether the expression represent a 20% discount off the price of an item that originally cost d dollars
Vaselesa [24]

Answer: B. d - 0.2

Step-by-step explanation: 20%= 20/100= 0.2

Which means = d-0.2

Hope this helped.

8 0
3 years ago
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a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?
mariarad [96]
x_{1}=1
x_{2}= 3
y_{1} =14
y_{2}=4
Slope= \frac{rise}{run} = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } = \frac{4-14}{3-1} = \frac{-10}{2} =-5


answer: The student flipped the y values
3 0
3 years ago
Which expression is equivalent to 15n – 20?
Semenov [28]

The only thing you can do with this expression is to factor a 5 out of the two terms: we have

15n-20 = 5(3n-4)

3 0
3 years ago
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Various studies indicate that approximately 11% of the world's population is left handed. You think this number is actually high
Irina-Kira [14]

Answer:

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

d. z= 1.3322

Step-by-step explanation:

We formulate our hypothesis as

a. H0 : p ≤ 0.11 Ha : p >0.11 ( one tailed test )

According to the given conditions

p`= 31/225= 0.1378

np`= 225 > 5

n q` = n (1-p`) = 225 ( 1- 31/225)= 193.995> 5

p = 0.4 x= 31 and n 225

c. Using the test statistic

z=  p`- p / √pq/n

d. Putting the values

z= 0.1378- 0.11/ √0.11*0.89/225

z= 0.1378- 0.11/ √0.0979/225

z= 0.1378- 0.11/ 0.02085

z= 1.3322

at 5% significance level the z- value is ± 1.645 for one tailed test

The calculated value falls in the critical region so we reject our null hypothesis H0 : p ≤ 0.11 and accept  Ha : p >0.11 and  conclude that the data indicates that the 11% of the world's population is left-handed.

The rejection region is attached.

The P- value is calculated by finding the corresponding value of the probability of z from the z - table and subtracting it from 1.

which appears to be 0.95 and subtracting from 1 gives 0.04998

8 0
4 years ago
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