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SIZIF [17.4K]
3 years ago
6

What is the value of x

Mathematics
2 answers:
Levart [38]3 years ago
7 0
Take your problem and do 3x=x+40 and subtract the x from 3x and it should equal 2x then take 2x=40 divide 2x from 40 and your answer is 20
il63 [147K]3 years ago
5 0

the 2 angles are congruent so...

x+40=3x    set the 2 equations equal to each other

40=2x      subtract x from both sides

20=x     divide by 2

x=20 is the final answer

Have a blessed day!


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To pay for a $23,700 motorcycle, Carmen made a down payment of $3900 and took out a loan for the rest. On the loan, she paid mon
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Answer:

<h3>a.)</h3>

Carmen paid monthly payments of $438.27 for 4 years.

i.e.,

1 year = 12 months

4 year = 12 × 4 = 48 months

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438.27 × 48 = $21,036.96

Now, the total amount including down payment is,

$21,036.96 + $3900 = $24,936.96

Thus, The total amount Carmen ended up paying for the motorcycle (including the down payment and monthly payments) is $24,936.96.

 

<h3>b.)</h3>

Interest did Carmen pay on the loan,

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2 years ago
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Step-by-step explanation:

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A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
SashulF [63]

Answer:

There were 440 Standard version of songs downloaded in Web music store.

Step-by-step explanation:

Given,

Total number of songs downloaded = 1310

Total size of the downloaded songs = 4752 MB

Size of standard version of song = 2.1 MB

Size of high quality version of song = 4.4 MB

Solution,

Let the number of standard version  of song be 'x'.

And also let the number of high quality version of song be 'y'.

Now, total number of songs is the sum of total number of standard version  of song and total number of high quality version of song.

On framing the above sentence in equation form, we get;

x+y=1310\ \ \ \ \ equation\ 1

Now, Total size of the downloaded songs is the sum of total number of standard version of song multiplied with size of standard version  of song and total number of high quality version of song multiplied with size of high quality version of song.

On framing the above sentence in equation form, we get;

2.1x+4.4y=4752

Multiplying with 10 on both side, we get;

10(2.1x+4.4y)=4752\times10\\\\21x+44y=47520\ \ \ \ equation\ 2

Now multiplying equation 1 by 21, we get;

21(x+y)=1310\times21`\\\\21x+21y=27510\ \ \ \ equation\ 3

Now subtract equation 3 from equation 2, we get;

(21x+44y)-(21x+21y)=47520-27510\\\\21x+44y-21x-21y=20010\\\\23y=20010\\\\y=\frac{20010}{23}\\\\y=870

On substituting the value of y in equation 1, we get the value of x;

x+y=1310\\\\x+870=1310\\\\x=1310-870=440

Hence There were 440 Standard version of songs downloaded in Web music store.

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3 years ago
In a particular class of 26 students, 16 are men. What fraction of the students in the class are women?
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