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rjkz [21]
2 years ago
11

3(2x - 4) + x = 9 help with homework

Mathematics
2 answers:
natita [175]2 years ago
7 0

6x - 12 + x = 9

6x + x - 12 = 9

Collect like terms

7x - 12 = 9

Add both sides 12

7x - 12 + 12 = 9 + 12

7x = 21

Divide both sides by 7

7x ÷ 7 = 21 ÷ 7

x = 3

True [87]2 years ago
4 0

Hello!

Answer:

x=3

Step-by-step explanation:

distribute your 3

so instead of 3(2x-4) It would be 3x2x - 2x4

6

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NewPop produces their brand of soda drinks in a factory where they claim that the
Citrus2011 [14]

Answer:

a) 14960 bottles

b) 502 bottles

Step-by-step explanation:

Given that:

Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces

a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).

Therefore 68% fall within 0.14 ounces of the mean

the number of bottle =  22,000*68% = 14960 bottles

b) To solve this we are going to use the z score equation given as:

z=\frac{x-\mu}{\sigma} where x is the raw score = 23.72

z=\frac{x-\mu}{\sigma}=\frac{23.72-24}{0.14} =-2

From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228

The number of rejected bottles = 22000 × 0.0228 = 502 bottles

8 0
3 years ago
Camila is putting together gift bags for nurses at a local clinic. Each of the 5 gift bags contains 'x' cookies. Camila adds 3 m
Vladimir [108]

Answer:

A- X= 20÷5-3

B- 20÷5=4; 4-3=1

C- X=1

Step-by-step explanation:

Okay, well we have to work backwards. 20 cookies, and she makes 5 bags. We need to find out what 'x' means. To do that, we take 20 cookies and divide it by 5. 4 cookies. Then we want to take 3 cookies out of each bag to find out how many cookies she first put in. 1 cookie.

Let's check:

bag 1:

o (one cookie)

bag 2:

o (one cookie)

bag 3:

o (one cookie)

bag 4:

o (one cookie)

bag 5:

o (one cookie)

Now we have 15 cookies left. Now let's put 3 in each:

bag 1:

o (one cookie)

v v v ( three cookies)

bag 2:

o (one cookie)

v v v ( three cookies)

bag 3:

o (one cookie)

v v v ( three cookies)

bag 4:

o (one cookie)

v v v ( three cookies)

bag 5:

o (one cookie)

v v v ( three cookies)

Now we have no cookies left, and we put 4 cookies in each. (o representing the first cookie, v representing the next three cookies)

7 0
2 years ago
Read 2 more answers
How to find increase percent from 44 to 48
lesantik [10]
9.09% increase.

First find the difference between the two numbers.

(4)

then, divide the result by the original amount...

4÷ 44

then multiply by 100

9.09 and that is to the nearest 10th otherwise your answer 9% increase from 44 to 48.
3 0
3 years ago
What is 5(2a + 3b) expanded
Eduardwww [97]

Answer: 10a + 15b

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which fraction is equivalent to 38%?<br> 3/8<br> 9/25<br> 19/50<br> 3 4\5
KonstantinChe [14]
In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:

38/100

In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.

This means our fraction will now look like: 

19/50

Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form. 

This means:

19/50 is the fraction equivalent to 38%. 
5 0
3 years ago
Read 2 more answers
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