Answer: the original price of the shorts was $25
Step-by-step explanation:
Let x represent the original price of the shorts.
The store is having a sale in which all items are reduced by 20%. This means that the amount of discount on the shorts is
20/100 × x = 0.2x
The price of the shorts would be
x - 0.2x = 0.8x
If the sales tax is 5%, then the amount of sales tax charged is
5/100 × 0.8x = 0.04x
The final cost of the shorts would be
0.8x + 0.04x = 0.84x
Including tax, Jennifer paid $21 for a pair of shorts. This means that
0.84x = 21
x = 21/0.84
x = 25
Answer:
Step-by-step explanation:
According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.
Answer:
Age of Eva = 15 Years
Age of Carrie = 45 Years
Step-by-step explanation:
Let the age of Eva be X years
Given that Carrie is 3 times as old as Eva
Therefore age of Carrie = 3X YEARS.
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After 15 years
Age of Eva = X + 15
Age of Carrie = 3X +15
Given that Carrie is twice as old as Eva
so according to this condition
age of Carrie = 2*Age of Eva
Substituting the age of Eva and Carrie
3X +15 = 2*(X + 15 )
=> 3X +15 = 2X +30
=> 3X - 2X = 30 - 15
=> X = 15
Since X was assumed age of Eva so age of Eva is 15 years
age of Carrie = 3X years = 3*15 = 45 years.
Answer:
When 1 millimeter on the map is equivalent to 1 kilometer on the ground, the map scale is 1:100000.
Step-by-step explanation:
Answer:
Choice D is correct
Step-by-step explanation:
The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;
The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.
The value of the directrix is determined as;
d = k/e = 3/1 = 3
The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;
x = -3
Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria
