This is a fun problem! Just graph the two equations, then see what points the line intersects with the parabola. Or, set the two equations equal to each other, and solve for the two intersecting points.
Solve for x and y: -2x+8 = x-2.23y+10.34
Answer:
15) 300%
Step-by-step explanation:
15)
Let the item originally cost n dollars.
The new incorrect price is (n-.6n).
So we want to find k such that (n-.6n)+k(n-.6n)=n+.6n
since we actually wanted it to be (n+.6n).
So we have (n-.6n)+k(n-.6n)=n+.6n
Distribute:
n-.6n+kn-.6nk=n+.6n
Subtract n on both sides
-.6n+kn-.6nk=.6n
We are trying to solve for k. So add .6n on both sides:
kn-.6nk=1.2n
Divide both sides by n:
k-.6k=1.2
.4k=1.2
Divide both sides by .4
k=1.2/.4
k=3
So 3=300%.
The incorrect price must be increased by 300% to get to the proper new price.
Here is an example:
Something cost $600.
It was reduce by 60% which means it cost 600-.6(600)=600-360=240
This was the wrong price.
We needed it to be increased by 60% which would have been 600+360=960.
So we need to figure out what to increase I wrong price 240 to to get to our right price of 960.
240+k(240)=960
1+k=960/240
1+k=4
k=3
So 240*300%+240 would give me my 960.
16) Speed=distance/time
In the first half hour, she traveled 5 miles (8:30 to 9).
In 1/3 hour she traveled (5-2)=3 miles (9 to 9:20).
We are told not to do anything where she stayed still.
In the last half hour, she traveled (2-0)=2 miles (9:30 to 10).
The average speed=.
Answer:
Step-by-step explanation:
the side with the biggest angel across form it has the longest side
the unknown angle would be 180-50-20=110
so it would go 20,50,110
The lateral area for regular pyramid is given by:
A=l√((w/2)²+h²)+w√((l/2)²+h²)
where:
w=width
l=length
h=height
plugging the values in the formula we get:
A=6√((6/2)²+9²)+6√((6/2)²+9²)
A=6√90+6√90
A=12√90
A=113.842 sq. feet
A=
Answer: 39
Step-by-step explanation:
= 1 + (20-1)2
= 1 + (19)2
= 1 + 38
= 39