Answer: the old price for 1 liter is $0.3
Step-by-step explanation:
Let x represent the old price for 1 liter of petrol.
Last week a man bought 20 liters at the old price. This means that the total amount that the man paid for 20 liters is 20x.
The cost of petrol rises by 2 cents a liter. This means that the new price per liter is x + 2/100 = x + 0.02
This week he bought 10 liters at the new price. This means that the total amount that the man paid for 10 liters is
10(x + 0.02)
= 10x + 0.2
Altogether, the petrol costs $9.20. This means that
20x + 10x + 0.2 = 9.2
30x + 0.2 = 9.2
30x = 9.2 - 0.2
30x = 9
x = 9/30
x = 0.3
The diameter is equal to 12.
Answer:
A
Step-by-step explanation:
It's A because she subtracted a negative and that only make a bigger negative where she should have added
Answer: After matching each set of conditions with the corresponding relationship between ∆ABC and ∆XYZ and the criterion that proves the relationship the matched pairs are as follows:
1 . AB = XY ,BC = YZ and ∠B ≅ ∠Y ⇒ ΔABC ≅ ΔXYZ by SAS criterion.
2 . AB = XY and ∠A ≅ ∠X and ∠B ≅ ∠Y⇒ ΔABC ≅ ΔXYZ by ASA criterion.
3 . ∠A=∠X,∠B=∠Y and ∠C=∠Z⇒ ΔABC and ΔXYZ are not necessarily congruent.[by AAA similarity criteria both triangles are similar but may not congruent ∵ every congruent triangles have equal sides and equal angles]
4 . AB = XY, BC = YZ and CA = ZX ⇒ ΔABC ≅ ΔXYZ by the SSS criterion.
Answer:
The greatest possible value of 3x - 2y is 20
Step-by-step explanation:
3x - 2y ------- 1
For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .
As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.
put x = 10 and y = 5 in eq 1
3(10) - 2(5)
= 30 - 10
= 20
Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5
3 (5) - 2 (10)
= 15 - 20
= -5
