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3 years ago

9

Soup A has 5 grams of sodium in every 12 cups. Soup B has 8 grams of sodium in every 13 cups. Which soup has more sodium per cup

?

2 answers:

gregori [183]3 years ago

7 0

Answer:

Step-by-step explanation:

5

Damm [24]3 years ago

3 0

Answer:

it is a so 5

Step-by-step explanation:

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How can 3,5,6, and 7 make 75 using parentheses

galben [10]

6(7+5) + 3
Hope this helps :)

To check:
PEMDAS
7+5 is 12
6(12) + 3
72 + 3
75

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4 years ago

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TiliK225 [7]

Answer:

should be answer A

Step-by-step explanation:

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3 years ago

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What is the rate of change for y=0.5x+9

Andrew [12]

Answer:

0.5

Step-by-step explanation:

The rate of change is the same as the slope. The equation y=0.5x+9 is written in slope intercept form, so 0.5 is the slope.

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The distance between 5,3 and 1,3

mel-nik [20]

Answer:

(4,0)

Step-by-step explanation:

(5,3) (1,3)

You need to subtract from the x axis on both coordinates and the y axis in both coordinates.

(5-1) (3-3)

(4,0)

I also checked on a graph as well, so it's correct.

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3 years ago

Find the solution of the initial value problem<br><br> dy/dx=(-2x+y)^2-7 ,y(0)=0

Leokris [45]

Substitute $v(x)=-2x+y(x)$ , so that $\dfrac{\mathrm dv}{\mathrm dx}=-2+\dfrac{\mathrm dy}{\mathrm dx}$ . Then the ODE is equivalent to

$\dfrac{\mathrm dv}{\mathrm dx}+2=v^2-7$

which is separable as

$\dfrac{\mathrm dv}{v^2-9}=\mathrm dx$

Split the left side into partial fractions,

$\dfrac1{v^2-9}=\dfrac16\left(\dfrac1{v-3}-\dfrac1{v+3}\right)$

so that integrating both sides is trivial and we get

$\dfrac{\ln|v-3|-\ln|v+3|}6=x+C$

$\ln\left|\dfrac{v-3}{v+3}\right|=6x+C$

$\dfrac{v-3}{v+3}=Ce^{6x}$

$\dfrac{v+3-6}{v+3}=1-\dfrac6{v+3}=Ce^{6x}$

$\dfrac6{v+3}=1-Ce^{6x}$

$v=\dfrac6{1-Ce^{6x}}-3$

$-2x+y=\dfrac6{1-Ce^{6x}}-3$

$y=2x+\dfrac6{1-Ce^{6x}}-3$

Given the initial condition $y(0)=0$ , we find

$0=\dfrac6{1-C}-3\implies C=-1$

so that the ODE has the particular solution,

$\boxed{y=2x+\dfrac6{1+e^{6x}}-3}$

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3 years ago