All categories

3 years ago

Which word phrase could correspond to the variable expression \frac{n}{15} ?

Mathematics

2 answers:

Bas_tet [7]3 years ago

7 0

A number divided by 15

Serhud [2]3 years ago

5 0

The answer is B. a number divided by 15

You might be interested in

What is the square root of 15

Marianna [84]

The square root of 15 is 3.87298334621

8 0

3 years ago

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

3 years ago

A student solved this problem by making a table.

bagirrra123 [75]

Hello! I can help you with this! For this problem in order to find the amount of months it will take for them to have the same amount of money, we can write and solve an equation.

1. Okay. Amira has $80, and saves $40 a month. Max has $40 and saves $50 a month We have the numbers, so we can write the equation. Set it up like this:

80 + 40x = 40 + 50x

We set it up like this, because each girl has some money, but they're saving more to add to the total. Let's start solving. Subtract 40x from both sides. 40x - 40x cancels out. 50x - 40x is 10x. That shortens to 80 = 40 + 10x. Subtract 40 to get both sides by themselves. 40 - 40 cancel out. 80 - 40 is 40. That simplifies to 40 = 10x. Now, divide each side by 10 to isolate the x. 10x/10 cancel out. 40/10 is 4. Let's test this out and see if it works. 40 * 4 is 160. 160 + 80 is 240. 50 * 4 is 200. 200 + 40 is 240. 240 = 240. There. x = 4. Amira and Sasha will have the same amount of money in 4 months.

4 0

3 years ago

What is the value of the following expression when b = -2 and C = 3? -12b + 5c - 15

zysi [14]

Answer:

-24

Step-by-step explanation:

12(-2)+5(3)-15

-24+15-15

-24+15

-9-15

= -24

4 0

3 years ago

Roger earns $24 a week mowing lawns. he spends 1/6 on lunch and 2/3 on music. He saves the rest. How many dollars does Roger sav

Delvig [45]

Alright so you have $24 dollars. 1/6 of 24 is 4 so now you have $20 dollars left. 2/3 of 20 is 13.333. So you subtract 13.333 from 20 to get a final anwser of 6.6666666667 dollars that roger saved. Hope i could help.

5 0

3 years ago

Read 2 more answers