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katrin2010 [14]
3 years ago
10

Find two positive numbers whose product is a maximum if the sum of the first number squared

Mathematics
1 answer:
Agata [3.3K]3 years ago
8 0
I think I get 2 and 4, for that one.  I think you are supposed to make up an equation, such as xy ≤ x²
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Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per
Nikolay [14]

Answer:

The density is equal to the weight divided by the volume:

\rho=\dfrac{W}{V}

The paperweight weights 300 grams.

Step-by-step explanation:

The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.

The density is equal to the weight divided by the volume:

\rho=\dfrac{W}{V}

We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.

We can use the formula of the density to calculate the weight:

\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g

The paperweight weights 300 grams.

7 0
2 years ago
A ratio of 14:40 =13;?
AVprozaik [17]

Answer:

9.75

Step-by-step explanation:

5 0
2 years ago
Yearly tuition, housing, and fees for a local college are $9500, $1500, and $1870 respectively. You have saved $6100 and have a
Korvikt [17]
You will need $4270 more

(9500+1500+1870)-(6100+2500)
12870-8600
4270
6 0
3 years ago
Read 2 more answers
Dustin has only nickels and quarters in his piggy bank. He has 49 coins total for a combined value of $8.85. How many of each ty
eduard
Well obviously quarters equal 25 cents.  So you have to divide the 8.85 by 25 first.  That means he could have 35 quarters.  That least the rest as being dimes.  So find the remaining amount of the 8.85.  If you have 35 quarters that's $8.75.  And 8.85 minus 8.75 is 10 cents.  which would be 2 nickels.  That only adds up 37 coins.  So you break down one of the 25.  That would mean 5 more coins could be nickels.  Add 37 and 5 to get 42.   Do it again.  25 cents in nickels would be 5 more coins.  would be 46.  that would be missing 2 coins. But don't forget you're also subtracting from the 35 quarters. Now you would technically have 12 nickels and 33 quarters.  So you can do it one more time.  32 quarters means there is $8 in quarters at this point.

Now add you have 12 nickels, and you made 5 more.  That's 17 nickels.  That equals 85 cents.  So add 17 and 32 to be sure you have 49 coins, which you do. 


So 17 nickels, 32 quarters to equal 49 coins and $8.85

(sorry some of it got mixed up above because I was forgetting to subtract the quarters from the total as I changed them to nickels, so pay attention to the end)
8 0
3 years ago
What is the product of 3/4 and -6/7 ?​
Allisa [31]

Answer:

-9 / 14

Step-by-step explanation:

Product means multiply
3/4 x -6/7 = -9 / 14

7 0
2 years ago
Read 2 more answers
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