Answer: Laundry = $2
Dishes= $1
Step-by-step explanation:
Let the amount paid for doing laundry be x
Let the amount paid for doing dishes be y.
Based on the information in the question, this can be formed in an equation as:
5x + 8y = 18 ..... i
4x + 6y = 14 ...... ii
Multiply equation i by 4
Multiply equation ii by 5
20x + 32y = 72 ...... iii
20x + 30y = 70 ...... iv
Subtract iv from iii
2y = 2
y = 2/2 = 1
Dishes cost $1
Since 5x + 8y = 18
5x + 8(1) = 18
5x = 18 - 8
5x = 10
x = 2
Laundry cost $2
Answer:
<3 and <4 are supplementary
Step-by-step explanation:
<3 and <4 form a linear pair, so they are supplementary (=180 degrees)
Answer:
First rationalize the surd
(√3 +√2)(√3 - √2)/(√3 - √2)(√3 -√2)
The final answer will be 5 + 2√6
So x = 5 + 2√6
I) x + 1/x
5 + 2√6 + 1/5 + 2√6
Find the LCM
The final answer will be 10
ii) x² +1/x²
(5 + 2√6)² + 1/(5 +2√6)²
= 49 + 20√6 + 1/49 + 20√6
Find the LCM
The final answer will be 98
For i) x = 10
ii) x = 98
Hope this helps.
The total distance covered is 6 m
<u>Step-by-step explanation:</u>
Let the total distance be '2d'
Total time = 1.25hrs
Downhill speed = 6 mphr
Uphill speed = 4 mphr
(d/6) +(d/4) = 1.25
(2d + 3d) /12 = 1.25
5d/12 = 1.25
d = 3m
So, 2d = 6 m
The total distance covered is 6 m