Step-by-step explanation:
Given equations
2x + 5y = 6 .......i)
2x = 10 - 3y...... II)
Putting 2x = 10 - 3y in equation i
10 - 3y + 5y = 6
2y = 6 - 10
2y = - 4
y = - 4 / 2
y = - 2
Now putting y = - 2 in equation ii
2x = 10 - 3 * ( - 2)
2x = 10 + 6
2x = 16
x = 16 / 2
x = 8
So x = 8 and y = - 2
Hope it will help :)❤
Answer:400
Step-by-step explanation:
3 hours: 400 times 2=800
6 hours: 800 times 2=1600
9 hours: 1600 times 2=3200
12 hours: 3200 times 2=6400
15 hours: 6400 times 2= 12800
18 hours: 12800 times 2=25,600
21 hours: 25,600 times 2= 51200
24 hours: 102,400
Answer:
see explanation
Step-by-step explanation:
The nth term of a geometric progression is
= a₁
where a₁ is the first term and r the common ratio
Given a₅ = 162 and a₈ = 4374 , then
a₁
= 162 → (1)
a₁
= 4374 → (2)
Divide (2) by (1)
= 
r³ = 27
r =
= 3
Substitute r = 3 into (1) and solve for a₁
a₁
= 162
81a₁ = 162
a₁ =
= 2
Then
a₂ = a₁ × 3 = 2 × 3 = 6
a₃ = a₂ × 3 = 6 × 3 = 18
The first 3 terms are 2, 6, 18
(ii)
The sum to n terms of a geometric progression is
=
, then
= 
= 
= 59049 - 1
= 59048
In this question the main trick lies in the fact that Umesh is getting paid at the rate of 75 cents per kilometer. It has to be converted to dollars for getting to the correct answer. Now let us get down to the problem in hand
75 cents = 0.75 dollars
Then
For 1 kilometer of travel Umesh gets paid = 0.75 dollars
So
For 120 kilometers of travel in a day, Umesh will get paid = 120 * 0.75 dollars
= 90 dollars
From the above deduction we can easily conclude that the travel allowance for Umesh for the day will be $90. I hope this has helped you.