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just olya [345]
3 years ago
6

If the sum of two real number is 21, what is the greatest possible value of their product

Mathematics
1 answer:
Softa [21]3 years ago
4 0

Answer:

Step-by-step explanation:

let th numbers be x and y.

x+y=21

y=21-x

Product P=xy=x(21-x)=21 x-x^2

P'=21-2x

P'=0 gives 21-2x=0,x=21/2

P"=-2

which is less than 0 at x=21/2

so P is greatest at x=21/2

y=21-21/2=21/2

P=21/2 ×21/2=441/4=110.25

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Over the course of a year, a tractor trailer commutes 160,000 miles across America.
GrogVix [38]

Answer:

a. 5 sets of tires

b. 16 times

Step-by-step explanation:

total distance commuted by the truck = 160,000 miles

a.tires of the truck are changed after every 40,000 miles

40,000 to 80,000 to 120,000 to 160,000 he will change his tires four times assuming he started his journey with the new tires. so, he needs uses a total of 5 sets of tires for the whole journey.

b. changes oil every 10,000 miles then to travel 160,000 miles

= \frac{160,000}{10,000}

= 16 times in whole journey

7 0
3 years ago
Read 2 more answers
How many tenths are there in four fifths?
sleet_krkn [62]

So to find how many tenths, or 1/10's, there are in four fifths, or 4/5, divide 4/5 by 1/10.

\frac{4}{5} \div \frac{1}{10}

Now, remember that <u>dividing by a number is equivalent to multiplying by its reciprocal</u>. To find the reciprocal, just flip the numerator and denominator around. In this case, 1/10 would become 10/1. Flip 1/10 to its reciprocal, change the sign to multiplication, and multiply numerators with numerators and denominators with denominators:

\frac{4}{5}\times \frac{10}{1}=\frac{40}{5}=8

<u>In short, there are 8 tenths in four fifths.</u>

5 0
3 years ago
Read 2 more answers
2(3x-9)=5x+2 solve for x
grin007 [14]
You distribute the two in the parenthesis and add both the x and then the 18 and 2 which gives you 20 ;X=20
4 0
3 years ago
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Vail Ski Shop received a $1,201 invoice dated July 8 with 2/10, 1/15, n/60 terms. On July 22, Vail sent a $485 partial payment.
suter [353]
A)
100%-1%=99%=0.99
485/0.99=489.9
489.9 is the amount of payment to be credited

B)
1,201−489.9=711.1 is the balance outstanding

3 0
3 years ago
leo, Kush and Mai share some money in the ratio 3 : 5 : 8. Kush receives £750 more than Leo. Calculate the total amount of money
Simora [160]

Answer:

£6000

Step-by-step explanation:

3:5:8

3+5+8=16

5-3 =2

Therefore 2=750

Therefore 1=375

16*375=£6000

4 0
3 years ago
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