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OlgaM077 [116]
3 years ago
6

The sum of a number and twice another number is 12. What is their maximum product?

Mathematics
1 answer:
harkovskaia [24]3 years ago
8 0
Let the numbers be x and y;
x+2y=12
Maximum product is
x*(2y)=2xy

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Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
ioda

Answer:

It takes 3 more gallons to fill the tank.

Step-by-step explanation:

6-3=3

4 0
3 years ago
Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut
solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

4 0
2 years ago
Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than
coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x

He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =

x + 2.8

Since the distance uphill is the same as the distance downhill, then

2x = x + 2.8

2x - x = 2.8

x = 2.8

Therefore, the distance hiked up the canyon is

2x = 2 × 2.8 = 5.6 miles

8 0
3 years ago
The ratio to isabella's money to shane's money is 3:11 if isabella has $33 how much money do shane and isabella have together us
alexgriva [62]
Shane and Isabella have 154 dollars
4 0
3 years ago
There are 285 people at the library. Then 127 more people come into the library
tamaranim1 [39]

Answer:

266.

Step-by-step explanation:

You want to take 285, and add 127 to that. You get 412. Subtract 146, and you get 266.

7 0
2 years ago
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