Answer:
MQ and QP are equal, MO and OP are equal, x=2
Step-by-step explanation:
QO is a perpendicular bisector of MP meaning that Triangle MQP must be isosceles (if at least two of the following, angle bisector, median, or an altitude, coincide in a triangle, that triangle must be isosceles). In this case an altitude and median coincide in triangle MQP. This means that MQ=QP as the triangle is isosceles. And also MO=OP because QO is a median. Now solving for x, 11=4x+3, 8=4x, x=2. Hope this helps!
Answer:
500
Step-by-step explanation:
Let x be the original price
Take the first discount
x - 18 percent
x - .18x = new price
x( 1-.18)
x ( .82) = new price
Now we take a 20 percent discount
This is on the discounted price, use .82x
.82x - 20 percent= 2nd discounted price
.82x - .20(.82x)
.82x -.164x
.656x= 2nd discounted price
.656x = 328
Divide each side by.656
.656x/.656 = 328/.656
x =500
The original price was 500
Answer:
B. 3/4
Step-by-step explanation:
I just did it and got it right
Answer:
$109.99
Step-by-step explanation:
You just have to multiply 10x10.99
Answer:2516 pounds
Step-by-step explanation:
find the difference in gallons and the difference in the weights
46 - 14 = 32 gallons
2399 - 2191 = 208 pounds
so 32 gallons of gas weighs 208 pounds
find weight per pound: 208 pounds / 32 gallons = 6.5 pounds per gallon
round to 6.5 pounds per gallon
64 gallons - 46 gallons = 18 gallons
18 gallons x 6.5 pounds per gallon = 117 pounds
2399 + 117 = 2516 weight of plane with 64 gallons