Answer:
the cost price of manufacturer = RS. 14.80
Step-by-step explanation:
the retailers profit = profit percent of sold amount
= 25% of 30.09
= 25/100 × 30.09
= 7.5225
here, the cost price of retailer =
sold amount- profit amount
or, CP = 30.09 - 7.5225
= 22.5675
now, profit of whole seller =
profit% of sold amount
or, 20% of SP
20/100 × 22.5675
= 4.5135
CP = SP - Profit
or, CP = 22.5675- 4.5135
CP = 18.054
now, profit of manufacturer = profit℅ of SP
= 18% of 18.054
= 18/100 × 18.054
= 3.24972
or, CP of manufacturer = SP - profit amount
= 18.054 - 3.24974
= 14.80428
Therefore, cost price of manufacturer = 14.80
Answer:
40.80 km
Step-by-step explanation:
Given: AP (opposite)= 33 km
PB(adjacent)= 24 km
Now, finding the value of AB (hypotenous)
Using the pythagorean theoram to solve it.

⇒ 
⇒
⇒
Taking square root on both side, remember; 
⇒
∴ AB= 40.80 km
The simplified expression is (r
) (4
x s³) is 4r³.
<h3>What are exponents?</h3>
The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 x 8 x 8 x 8 x …..n times = 8n
Given:
(r
) (4
x s³)
Now, using the law of exponents we have

So,
(r
) (4
x s³)
= 4
x 
= 4r³ x s°
= 4r³
Hence, the simplified expression is (r
) (4
x s³) is 4r³.
Learn more about exponents here:
brainly.com/question/15722035
#SPJ1
Answer:
a) Parallel when a = -2/3
b) Perpendicular when a = 6
Explanation:
a) For two parallel lines slopes are equal.
So, 6y=−2x+4 and 2y=ax−5 parallel if they are slopes equal.
Slope of 6y=−2x+4, comparing with y = mx + c
So, m = -2/6 = =-1/3
For 6y=−2x+4 and 2y=ax−5 to b parallel we have slope of 2y=ax−5 equal to -1/3
Slope of 2y=ax−5
m = a/2
We have a/2 = -1/3
a = -2/3
b) For perpendicular lines product of slope is -1.
So we have