Which of the following is a TRUE statement about check cashing stores? *

Tameka bought 50 cans of soda ( cola, grape, and orange) to serve at a party. She has 8 more colas than grape sodas, and 3 less

Gwar [14]

Answer:

Orange = 12

Grape = 15

Cola = 23

Step-by-step explanation:

Turning this into equations you can give each soda a variable

Cola = C | Grape = G | Orange = R

Then you get:

8 + G = C

R + 3 = G

C + G + R = 50

We want to get a variable all by itself in an equation so first I'm going to put the second equation (R + 3 = G) in the first (8 + G = C) by replacing the G to get

8 + (R + 3) = C Combine the variables 11 + R = C and put that new equation into the last equation

(11 + R) + G + R = 50

Now plug our original second equation (R + 3 = G) into our third to get

(11 + R) + (R + 3) + R = 50

Combine and get

14 + 3R = 50 Subtract over the 14

3R = 36 Divide by 3

Orange Sodas = 12

Our new 3rd Equation is now: C + G + 12 = 50, subtract over 12 to get

C + G = 38

Plug either equation 1 or 2 into that one, I'll do 1

(8 + G) + G = 38

8 + 2G = 38

2G = 30

Grape Sodas = 15

Now our 3rd equation is C + 15 = 38, subtract over 15

Cola Sodas = 23

Orange = 12

Grape = 15

Cola = 23

12 + 15 + 23 = 50

7 0

3 years ago

Is the Y value of the vertex of 4x squared plus 8X minus 8. help meee

SIZIF [17.4K]

Answer:

y = -12

Step-by-step explanation:

You first calculate the x coordinate using the equation x = $\frac{-b}{2a}$ , which in this case is $\frac{-8}{8} = -1$ .

Then plug that x value into the equation to get the y coordinate:

4(-1)²+8(-1)-8 = -12

8 0

3 years ago

G verify that the divergence theorem is true for the vector field f on the region

Alenkasestr [34]

$\mathbf f(x,y,z)=\langle z,y,x\rangle\implies\nabla\cdot\mathbf f=\dfrac{\partial z}{\partial x}+\dfrac{\partial y}{\partial y}+\dfrac{\partial x}{\partial z}=0+1+0=1$

Converting to spherical coordinates, we have

$\displaystyle\iiint_E\nabla\cdot\mathbf f(x,y,z)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=0}^{\rho=6}\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi=288\pi$

On the other hand, we can parameterize the boundary of $E$ by

$\mathbf s(u,v)=\langle6\cos u\sin v,6\sin u\sin v,6\cos v\rangle$

with $0\le u\le2\pi$ and $0\le v\le\pi$ . Now, consider the surface element

$\mathrm d\mathbf S=\mathbf n\,\mathrm dS=\dfrac{\mathbf s_v\times\mathbf s_u}{\|\mathbf s_v\times\mathbf s_u\|}\|\mathbf s_v\times\mathbf s_u\|\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=\mathbf s_v\times\mathbf s_u\,\mathrm du\,\mathrm dv$
$\mathrm d\mathbf S=36\langle\cos u\sin^2v,\sin u\sin^2v,\sin v\cos v\rangle\,\mathrm du\,\mathrm dv$

So we have the surface integral - which the divergence theorem says the above triple integral is equal to -

$\displaystyle\iint_{\partial E}\mathbf f\cdot\mathrm d\mathbf S=36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\mathbf f(x(u,v),y(u,v),z(u,v))\cdot(\mathbf s_v\times\mathbf s_u)\,\mathrm du\,\mathrm dv$
$=\displaystyle36\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}(12\cos u\cos v\sin^2v+6\sin^2u\sin^3v)\,\mathrm du\,\mathrm dv=288\pi$

as required.

3 0

3 years ago

Find the sum of (x-4)+(2x−7)

____ [38]

Answer:

3x - 11

Step-by-step explanation:

( x - 4 ) + ( 2x − 7 )

*it's better to take away the parenthesis

x - 4 + 2x - 7

Combine like terms

( x with 2x, and -4 with -7)

3x - 11

And you cannot simplify it anymore

Hope this helped!

Have a supercalifragilisticexpialidocious day!

3 0

2 years ago

Read 2 more answers

Z/-2.5-011.5=-1.34 what is z

ololo11 [35]

Answer:

z=-25.4

Step-by-step explanation:

Add 11.5 to both sides of the equation, then simplify. Multiply all terms by the same value to eliminate fraction denominators

3 0

3 years ago