Hello from MrBillDoesMath!
Answer:
27
Discussion:
By the distance formula (or Pythagorean theorem)
distance = sqrt ( (change in x)^2 + (change in y)^2)
In our case this becomes
distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)
= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)
= sqrt ( ( 18 + 9) ^2 + 0^2 )
= sqrt ( 27^2)
= 27
Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before
Thank you,
MrB
24+24+15+15= the perimeter, aka 48+30 aka 78 meters
Answer:
<h2><em>
B. (b+3c)+(b+3c) </em></h2><h2><em>C. </em><em>
2(b)+2(3c)</em></h2>
Step-by-step explanation:
Given this expression 2(b+3c), its equivalent expression is derived by simply opening up the bracket as shown below;
Open the parenthesis by multiplying the constant outside the bracket with all the variables in parenthesis.
= 2(b+3c)
= 2(b)+ 2(3c)
= 2b +2*3*c
= 2b +6c
It can also be written as sum of b+3c in 2 places i.e (b+3c)+(b+3c) because multiplying the function b+3c by 2 means we are to add the function by itself in two places.
<em>Hence the equivalent expression are (b+3c)+(b+3c) and 2(b)+2(3c) or 2b+6c</em>
Ok so to solve this problem we're going to need to find out how much money they made (their revenue) and the subtract the cost of paying the employees.
So, let's start by finding their revenue
Step 1: Multiply the cost of each beverage by the number sold
Coffees: 20 x 2.85 = 57
Lattes: 17 x 4.80 = 81.6
Step 2: add up the money made from the coffees and the money made from the lattes to get the total revenue
57 + 81.6 = 138.6
So the shop made $138.60 on Tuesday. Let's set that aside while we find out how much the shop's costs were.
Step 3: Find the price of paying two employees for 6 hours
2 x 6 x 14.5 = 174
So the shop had to pay the employees $174.00 for working there.
Step 4: Find the overall profit/loss by subtracting the cost from the revenue
138.6 - 174 = -35.4
So the shop had a loss of $35.40 on Tuesday.
Hope that helps! Feel free to leave a comment or send me a message if I can clarify anything :)
All you have to do is divide the number by the denominator which is 8. So 510 divided by 8.
Which will give you 63.75.
Then you times it by the numerator which is 3 so 63.75 x 3
And you are left with £191.25 which is 3/8 of 510
