Answer:
y=1/5x+2
Step-by-step explanation:
In perpendicular lines the slopes are negative reciprocals so the slope of other line is 1/5x
And they intersect at (15,5) to find the y intercept(b)
y=1/5x+b
5=(1/5)(15)+b
5=3+b
b=2
So basically
D=RT
distance=rate times time
D=233
carlos speed=55
maria speed=50
total time=4.4 hours
so therefor we have to represent
carlos time
maria time
carlos distance
maria dstance
let's say that
remember that whatever carlost drove is 233 minus maria (time and distance)
and since we are solving for maria time and distnace, solve in terms of them
maria time=t
maria distance=d
carlos time=4.4-t
carlos distance=233-d
remember total D=RT
find their seperate equations
carlos
233-d=55(4.4-t)
maria
d=50(t)
use them to solve
233-d=55(4.4-t)
subsitute 50(t) for d
233-50t=55(4.4-t)
add 50t to both sides
233=55(4.4-t)+50t
distribute using distributiver protperty (a(b+c)=ab+ac)
55(4.4-t)=242-55t
233=242-55t+50t
add like terms
233=242-5t
add 5t to both sides
233+5t=242
subtract 233 from both sides
5t=9
divdie both sides by 5
t=1.8
maria drove 1.8 hours
the answer is A
Answer:
The correct options is A.
Step-by-step explanation:
The each diagonal of an irregular parallelogram divides the parallelogram in two equal and congruent parts. The diagonal bisects each other.
It means, if a irregular parallelogram rotates 180° about the midpoint of its diagonal, then the image of the parallelogram coincide with its preimage during the rotation.
If a irregular parallelogram rotates 360° about the midpoint of its diagonal, then the image of the parallelogram coincide 2 times with its preimage during the rotation.
Therefore the correct option is A.
Answer:
40% profit
Step by step Explanation:
Profit percentage
=( profit/cost price) * 100
0.2 = profit/cost
10+15+20+25+30= 100
Let's assume the cost price of the items is $1 each
Cost price total= $100
Profit made when buyer of 20 toffe didn't say was
0.2=profit/cost
0.2*100 =$20
If the$ 20 paid.
Total profit = $40
So percentage profit now
40/100 * 100 = 40%
