Lia has already written 3 pages, and she expects to write 2 pages for every additional hour spent writing. How many hours will Lia have to spend writing this week in order to have written a total of 7 pages? Write and solve an equation to find the answer.
Answers
Required equation : 7 = 2h+ 3. Lia have to spend 2 hours writing this week in order to have written a total of 7 pages.
What is equation?
" Equation is defined as the algebraic expression which represents the relation between given variables using sign of equality."
According to the question,
Number of pages Lia has already written = 3
Time taken to write 2 pages = 1hour
Total number of pages Lia has to write = 7
'h' represents the time required to write total 7 pages
As per the given condition equation we get,
Hence, required equation : 7 = 2h+ 3.Lia have to spend 2 hours writing this week in order to have written a total of 7 pages.
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7 =(2 × M) + 3
M = 2
It will be two hours
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so from 1992 have been: 2016 - 1992 = 24 years
but the date is from October 30th, so we are not at 24 years just yet, we are at 23 years and the months and days since last 30th October, that is:
November + December + January + February = 4 months
and some days more, 19 days because today is 19th, so the total is:
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Answers
15 students per week
Each hourly student earns them $40 and there are 15 students, so this is multiplication.
40 * 15 = 600 per week
There are 4 weeks per month to earn 600 each week, this is again multiplication.
600 * 4 weeks = 2400 per month
Out of their earned 2400 they must pay for their overhead, the building rent
2400 - 400 = 2000 profit
They are left with $2000 between them.
Answer:
$4400
Step-by-step explanation:
$40 per hour
15 x 40 = 600
Because 'each' of them had 15 students, 600 x 2 = 1200
There are 4 weeks per month to earn 1200 each week, this is again multiplication.
1200 * 4 weeks = 4800 per month
Out of their earned 4800 they must pay for their overhead, the building rent
4800 - 400 = 4400 profit
They are left with $4400 between them.
Answers
Answer:
n=65th term
Step-by-step explanation:
AP:3,15,27,39......
From the AP
a=3
a+d=15
a+2d=27
3+d=15 (1)
3+2d=27 (2)
Subtract (1) from (2)
We have,
2d-d=27-15
d=12
54th term=a+(n-1)d
=3+(54-1)12
=3+(53)12
=3+636
=639
The term is 132 more than the 54th term
132+54th term
=132+639
=771
Find the term
771=a+(n-1)d
771=3+(n-1)12
771-3=12n-12
768=12n-12
768+12=12n
780=12n
n=780/12
=65
n=12
The term which is 132 more than the 54th term is the 65th term
Answers
Answers
The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isoscelestriangle.
Given :
- Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet.
- Angles X Y Z and Y Z X are congruent.
- Consider isosceles ΔXYZ.
Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.
From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:
XY = XZ
9n + 12 = 15n - 6
Simplify the above expression in order to determine the value of 'n'.
18 = 6n
n = 3 ft
The measure of leg XY is given by:
XY = 9(3) + 12 = 39 ft
The measure of leg XZ is given by:
XZ = 15(3) - 6 = 39 ft
For more information, refer to the link given below:
Answer:
Step-by-step explanation:
Given
Solving (a): n
To solve for n;
We make use of
Substitute values for XY and XZ
Divide through by -6
Solving (b) XY
Substitute 3 for n
Solving (c): XZ
Answers
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