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Mandarinka [93]
3 years ago
6

What is the value of x in the equation 3x - 4y=65, when y=4?

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

Step-by-step explanation:

Given 3x-4y=65

Y=4

So 3x-4×4=65

3x-16=65

3x=65+16

X=81/3

X=27

So value of X is 27

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Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo
Elodia [21]

Answer:

She will earn <u>$442.89</u> in one week after the changes.

And this is <u>more</u> than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

10.50\times 40\\\\=\$420.

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

10.50+14\%\ of\ 10.50\\\\=10.50+\frac{14}{100} \times 10.50\\\\=10.50+1.47\\\\=11.97

<u>Salary after hourly raise = $11.97 per hour.</u>

Then, to get the number of hours worked decreased by 7.5%:

40-7.5\%\ of\ 40\\\\=40-\frac{7.5}{100} \times 40\\\\=40-3\\\\=37.

<u>Number of hours per week after hours of worked decreased  = 37 hours.</u>

Now, to get the salary after changes:

<em>Salary after hourly raise × number of hours per week after hours of worked decreased</em>

=11.97\times 37

=\$442.89.

<u>Salary after changes in one week = $442.89.</u>

<u><em>As, the previous salary was $420 in one week. </em></u>

<u><em>And after changes this salary is $442.89 in one week which is more than previous. </em></u>

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

4 0
3 years ago
20x+3=17 help please
jeyben [28]
The objective is to get the variable (x) alone. To do this start be subtracting 3. What you do to one side you have to do to the other so you have to subtract three from the other side of the equal sign as well. So now you have:
20x= 17-3 subtract the 3 to get 20x=14
Now because the 20 is attached to the x In order to get the x alone you have to divide by 20:
20x/20. =14/20 divide 14 by 20

X=.7 or x=7/10
5 0
3 years ago
Read 2 more answers
Is this right yes or no
artcher [175]
I think you are correct
7 0
3 years ago
Read 2 more answers
What is the GCF for 4x+8
ruslelena [56]

Answer:

4

Step-by-step explanation:

In the terms 4x and 8, 4 is the greatest factor that both terms share.

3 0
3 years ago
You owe your friend $16 after she paid for your dinner at a restaurant. What integer represents the amount you owe your friend?
Ratling [72]

Answer:

$16

Step-by-step explanation:

8 0
3 years ago
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