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o-na [289]
3 years ago
12

-5m-2 (1-7m) show work please

Mathematics
1 answer:
Grace [21]3 years ago
4 0

Answer:

9m - 2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

-5m - 2(1 - 7m)

Step 2: Distribute -2

-5m - 2 + 14m

Step 3: Combine like terms

9m - 2

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Thirty percent of the fifth grade students in a large school district read below grade level. The distribution of sample proport
fredd [130]

Answer: 0.9088  

Step-by-step explanation:

Given : \mu=0.30

\sigma=0.045  

Let x be a random available that represents the proportion of students that reads below grade level .

Using z=\dfrac{x-\mu}{\sigma , for x= 0.36 , we have

z=\dfrac{0.36-0.30}{0.045}=1.33333

Using standard normal z-value table,

P-value = P(

P(z [Rounded yo the nearest 4 decimal places.]

Hence, the probability that a second sample would be selected with a proportion less than 0.36 = 0.9088  

7 0
3 years ago
Rosa has $117 in her savings account and $95 in her checking account. Each week she will put $21 into her savings account and $2
mr_godi [17]

Answer:

It will take Rosa 5 and a half (5.5) weeks to have the same amount of money in both accounts.

Step-by-step explanation:

For this problem, we will have to set two expressions equal to each other. The first expression will represent Rosa's saving account, which already has $117 in it. Every week (x), she adds $21 to her savings account:

21x+117

The second expression will represent Rosa's checking account. Rosa's checking account already has $95 in it. Every week (x), she adds $25 to her checking account:

25x+95

Now that we have our two expressions, set them equal to each other. This is our equation that will be used to find the number of weeks (x) it takes until Rosha has the same amount of money in both accounts:

21x+117=25x+95

Subtract 21x from both sides of the equation:

117=4x+95

Subtract 95 from both sides of the equation:

22=4x

Divide both sides of the equation by the coefficient of x, which is 4:

5.5=x

x=5.5

So it will take five and a half weeks for her accounts to have the same amount of money.

_

Check your work by substituting 5.5 into the initial equation:

21(5.5)+117=25(5.5)+95

115.5+117=137.5+95

232.5=232.5

Since the accounts have the same amount, the answer is correct!

6 0
3 years ago
Read 2 more answers
What is the 308th term of the sequence 11,12.5,14,15.5,17...
Alecsey [184]

\huge\boxed{471.5}

The formula for an arithmetic sequence is as follows:

a_n=a_1+(n-1)d

In this formula, a_n represents the nth term of the sequence and d represents the common difference between each term.

Plug in the known values.

a_{308}=11+(308-1)1.5

Subtract.

a_{308}=11+307*1.5

Multiply.

a_{308}=11+460.5

Add.

a_{308}=\boxed{471.5}

6 0
2 years ago
What is the rational number between -2/3 and -5/6
hoa [83]
Looks tuffff ^|^|~*~\^]+|*~
7 0
3 years ago
Dan must do homework for 1/2 of an hour and clean his room for 1/3 of an hour before he can play. What faction of an hour must D
zloy xaker [14]

Answer:

50 minutes

Step-by-step explanation:

1/2 hour = 30 minutes

1/3 hour = 20 minutes

30 + 20 = 50 minutes

4 0
3 years ago
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