Answer:
1890
Step-by-step explanation:
Loss = 11/2 % = 5.5 %
Cost price = 2000
Loss = 5.5% of cost price
= 5.5% * 2000

Selling price = Cost price - loss
= 2000 - 110
= 1890
Answer:
22 1/4 or 22.25
Step-by-step explanation:
4x + 7 = 92
4x = 85
x = 22 1/4
Answer:
Step-by-step explanation:
next term is -432
Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
Answer:
The volume of the rock is 13.368 cubic feet.
Step-by-step explanation:
The volume of the rock (
), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock (
) minus the volume of the fish aquarium with the decorative rock (
), both measured in gallons.
Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

(1)
Where:
- Flow rate, measured in gallons per hour.
- Filling time of the fish aquarium without the decorative rock, measured in hours.
- Filling time of the fish aquarium with the decorative rock, measured in hours.
And the flow rate is:


The flow rate is 200 gallons per hour.
If we know that
,
and
, then the volume of the rock is:



The volume of the rock is 13.368 cubic feet.