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SIZIF [17.4K]
3 years ago
13

Together, Aanya and Krish can wash and wax Aanya's car in 50 minutes. Alone it takes Krish ten minutes more than Aanya. To the n

earest minute, find the number of minutes it takes for each of them to wash and wax the car alone.
Mathematics
1 answer:
Leto [7]3 years ago
6 0

Answer:

95 ; 105

Step-by-step explanation:

Let :

Aanya's time = x

Krish's time = x + 10

Together = 50

Hence

Aanya's rate = 1/x

Krish's rate = 1/(x + 10)

Together rate = 1/50

Hence,

1/x + 1/(x + 10) = 1 / 50

((x + 10) + x) / x(x + 10) = 1/ 50

(2x + 10)/ x² + 10x = 1/50

50(2x + 10) = x² + 10x

100x + 500 = x² + 10x

x² + 10x - 100x - 500 = 0

x² - 90x - 500 = 0

Using the quadratic equation solver :

x = 95.24 ; x = - 5.24

Time can't be negative

Hence, x = 95 (nearest minute)

It takes Aanya 95 minutes Alone a ND

Krishna (95 + 10) = 105 minutes alone

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In an ice cream shop there is some money in a drawer. After 6 ice creams were sold, there were 70 euros left in the drawer. Afte
Verizon [17]

Answer: There were 40 euros in the drawer at the beginning.

Step-by-step explanation:

When we subtract 6 from 16, we get 10 more ice-creams were sold.

Similarly, we subtract 70 from 120, we get 50 euros was the total selling price of 10 ice-creams.

i.e. Selling price of 1 ice-cream = (50)÷10 =5 euros

Selling price of 6 ice-creams = 6 x 5 = 30 euros

Money in the drawer at the beginning = 70-30 = 40 euros

Hence, there were 40 euros in the drawer at the beginning.

7 0
3 years ago
What does 24 ÷ 7 actually mean? Please help as fast as you can!!! :(
Blizzard [7]

Step-by-step explanation:

are you talking about like 24/7 ? or you mean like divide 24÷7 ?

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3 years ago
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6
Murljashka [212]

Answer:

the second one, ((6 x 5) x 4) +((5 x 4) x 2) = 160

the third one, ((7 x 6) x 4) + (6 x 4) x 2) = 216

the fourth one, ((8 x 4) x 4) + ((4 x 3) x 2) = 152

Step-by-step explanation:

7 0
3 years ago
A blueprint uses a scale factor of 3 inches = 2 feet. What is the area on the blueprint of a 3,500 square foot house in inches?
lyudmila [28]

Answer:

7875 square inches

Step-by-step explanation:

4ft^2 = 2ft * 2ft

4ft^2 = 3in * 3in

4ft^2 = 9in^2

For 3,500 square foot

3,500 square foot  = x

Divide bith expressions

4/3500 = 9/x

4x = 9 * 3500

4x = 31500

x = 31500/4

x = 7875 square inches

Hence the area of the house in inches is 7875 square inches

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3 years ago
I need to find the answer to a factor tree of 56
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 14 2 | 2
7 2 | 2 | 2

or 

    56
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7 2 | 2 2
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3 years ago
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