$\left \{ {{x+5y=6} \ \ |2\atop {6x-10y=12}} \right. \\\\\\ \left \{ {{2x+10y=12} \atop {6x-10y=12}} \right. \\ ======== \\\\ 8x=24 \ \ \ |:8 \\\\ \boxed{x=3} \\\\ x+5y=6 \\\\ 5y=6-x \\\\ y=\frac{6-x}{5} \\\\ y=\frac{6-3}{5} \\\\ \boxed{y=\frac{3}{5}}$

8 0

3 years ago

Read 2 more answers

What type of correlation is suggested by the scatter plot?

Bas_tet [7]

No correlation is suggested

8 0

3 years ago

2. Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face va

vampirchik [111]

The stock price per share was $8.60
Number of shares bought 1000
Total price for the shares:
(Cost per share)*(Number of shares)
=8.60*1000
=$8600

The stock price after 1 year $9.15
Total number of shares is 1000
Current price=(current share price)*(number of shares)
9.15*1000
=$9150
current value=(Current price)-(buying price)
=9150-8600
=$550

Net Profit=(Current value)-(Expenses)
=550-14
=$536

6 0

3 years ago

PLZ HELP!! WILL MARK BRANLYIST!!! 30 POINTS!!

V125BC [204]

Answer:

The distance between the light and the actor's face is 29.24 ft

Step-by-step explanation:

In the attached photo, you can see where the hypotenuse, the opposite side, and and adjacent side are located from the given angle measurement which is 70°. Our known side length is 10 ft which is our adjacent side and our variable is the hypotenuse. So, we will use cos.

$Cos=\frac{adjacent}{hypotenuse}$

Let's plug in our numbers and variable.

$(Cos)70=\frac{10}{x}$

Since our hypotenuse is a variable, we are going to flip the equation so we can find the value of the hypotenuse which is also our variable.

$x=\frac{10}{(cos)70}$

Divide 10 by (cos)70.

x = 29.24

So, the hypotenuse is 29.24 feet which shows the distance between the light and the actor's face.

8 0

3 years ago