Well, you can use distributive property to solve this question.
27(2p + 4e + 10p + 20)
= 54p + 108 + 270p + 540
= 324p + 648
Answer:
x=8.499
y=0.167
Step-by-step explanation:
the equation says:x^2-9y^2=72....(1)
x+3y=9.......(2)
divide (2) from (1),it becomes:
x-3y=8
making x subject of formula,
x=8+3y....(3)
submitting (3) into (1),it becomes
(8+3y)^2-9y^2=72
64+48y=72
48y=72-64=8
y=8/48=0.167......(4)
submitting (4) into (2),it becomes
x+3(0.167)=9
x+0.501=9
x=9-0.501
x=8.499
Answer:
See below
Step-by-step explanation:
I will describe this set in R³. Let P=(x,y,z) be a point equidistant to A and B, that is, the distance from P to A is equal to the distance from P to B.
First, using the usual distance formula, the distance from P to A is equal to 
On the other hand, the distance form P to B is equal to 
P is equidistant from A and B if and only if P satisfies the equation d(P,A)=d(P,B), that is,
Take the square in both sides of this equation to get
You can simplify using difference of squares and multiplying like this:
which is the equation of a plane.
Take 19 and multiply by 32% or 0.32. 19x0.32= 6.08
Answer: $12.28
Step-by-step explanation:
Here's the complete question:
Three teachers bought prizes to put in a bin at school. Mrs. Maier spent $7.68 on stickers. Mr. Lang spent $11.52 on balloons. Mrs. Connor spent $17.64 on pencils. The teachers divided the cost evenly. How much did each teacher pay?
Cost of stickers = $7.68
Cost of balloons = $11.52
Cost of pencils = $17.64
Total spent = $7.68 + $11.52 + $17.64 = $36.84
The amount that each teacher will pay when the total cost is evenly shared will be:
= $36.84 / 3
= $12.28
