Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
Answer:
D.
Step-by-step explanation:
<u>Explanation for part 1.</u>
To find the mean, find total then divide by number of data set
For college salaries
Sum=41+67+53+48+45+60+59+55+52+52+50+59+44+49+52=786
Number of samples=15
Mean= 786/15 =52.4 * $1000=$52400
For High school salaries
Sum=23+33+36+29+25+43+42+38+27+25+33+41+29+33+35=492
Number of samples =15
Mean= 492/15 = 32.8 *$1000= $32800
College grads make more money according to the means.
<u>Explanation for part 2.</u>
Treat the data as part of coordinates and graph then on the same scale and axis to visualize the trend and make comparison.In this case, the graph for the line of best fit is linear as attached.
Answer: The correct option is fourth, i.e., 1935 cm³.
Explanation:
It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².
The area of a hexagon base is,

Where, a is the side length.
The volume of the a hexagon glass is,


Where, A is area of base of hexagon and h is height of the hexagon glass.


Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.
Answer: 37
Step-by-step explanation:
87 x 2 = 174
248 - 174 = 74
74 divided by 2 = 37
So, therefore you answer will be 37
:))
To find a percentage, you the decimal point in the percent two places to the right 16% = 0.16. Then multiply.
0.16 • 400 = 64
16% of 400 = 64