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Vinvika [58]
3 years ago
10

A furniture store is having a sale where everything is 40% off.

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0
If everything in the store is 40% off, then you can assume that the discount is .4*p, so the equation for the amount of discount would be d=.4p 

The equation for the sale price of an item would be the starting price, p, minus the discount price, d. If we write this equation, we get S=p-d. Since we already solved for d, we can plug that into this new equation to get s=p-.4p.  If the regular price is $85, then we can plug that in for p.

when it is plugged in, we get s=85,.4(85). Simplify this and you get s=85-34 or s=51. This means that the sale price would be $51
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A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.​
nikdorinn [45]

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)

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3 years ago
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