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3 years ago

If a pound of apples cost $3.50 what would be the cost of six ponds of apples

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

Step-by-step explanation:

3.50*6=21

21 is the answer

OverLord2011 [107]3 years ago

7 0

The cost of six pounds of apples would be $21.00!

The way you solve that is to multiply $3.50 by 6.

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Find the greatest common factor of 28 and 42.

Otrada [13]

Answer:

Step-by-step explanation:

28=2x2x7

42=2x3x7

=>gcf=2x7=14

4 0

4 years ago

The value of x is what?

Whitepunk [10]

Answer:

I think its probably 13

5+8=13

7 0

3 years ago

Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer d

eduard

The Lagrangian is

$L(x_1,\ldots,x_n,\lambda_1,\ldots,\lambda_n)=x_1+\cdots+x_n+\lambda_1({x_1}^2+\cdots+{x_n}^2)+\cdots+\lambda_n({x_1}^2+\cdots+{x_n}^2)$

with partial derivatives (set equal to 0)

$\dfrac{\partial L}{\partial x_i}=1+2x_i(\lambda_1+\cdots+\lambda_n)=0$

$\dfrac{\partial L}{\partial\lambda_i}={x_1}^2+\cdots+{x_n}^2-36=0$

for each $1\le i\le n$ .

Let $\Lambda$ be the sum of all the multipliers $\lambda_i$ ,

$\Lambda=\displaystyle\sum_{k=1}^n\lambda_k=\lambda_1+\cdots+\lambda_n$

We notice that

$x_i\dfrac{\partial L}{\partial x_i}=x_i+2{x_i}^2\Lambda=0$

so that

$\displaystyle\sum_{i=1}^nx_i\dfrac{\partial L}{\partial x_i}=\sum_{i=1}^nx_i+2\Lambda\sum_{i=1}^n{x_i}^2=0$

We know that $\sum\limits_{i=1}^n{x_i}^2=36$ , so

$\displaystyle\sum_{i=1}^nx_i+2\Lambda\sum_{i=1}^n{x_i}^2=0\implies\sum_{i=1}^nx_i=-72\Lambda$

Solving the first $n$ equations for $x_i$ gives

$1+2\Lambda x_i=0\implies x_i=-\dfrac1{2\Lambda}$

and in particular

$\displaystyle\sum_{i=1}^nx_i=-\dfrac n{2\Lambda}$

It follows that

$-\dfrac n{2\Lambda}+72\Lambda=0\implies\Lambda^2=\dfrac n{144}\implies\Lambda=\pm\dfrac{\sqrt n}{12}$

which gives us

$x_i=-\dfrac1{2\left(\pm\frac{\sqrt n}{12}\right)}=\pm\dfrac6{\sqrt n}$

That is, we've found two critical points,

$\pm\left(\dfrac6{\sqrt n},\ldots,\dfrac6{\sqrt n}\right)$

At the critical point with positive signs, $f(x_1,\ldots,x_n)$ attains a maximum value of

$\displaystyle\sum_{i=1}^nx_i=\dfrac{6n}{\sqrt n}=6\sqrt n$

and at the other, a minimum value of

$\displaystyle\sum_{i=1}^nx_i=-\dfrac{6n}{\sqrt n}=-6\sqrt n$

4 0

4 years ago

The probability of getting a 4- bedroom home with a open porch based off the table.

AleksandrR [38]

All you have to do is multiply 1/3 (the chance of getting a 4 bedroom home) times 1/2 (the chance of getting an open porch). The answer is a 1/6 chance, as you don’t have to do anything with the kitchens because the question doesn’t specify to.

Hope this helps!

4 0

3 years ago

Eight increased by the product of a number and 5 is at most -25

Studentka2010 [4]

Answer:

8 + 5x ≤ -25

Step-by-step explanation:

8 increased: 8 +
product of a number and 5: 5x
at most -25: ≤ -25

Have a lovely rest of your day/night, and good luck with your assignments! ♡

5 0

2 years ago