Given: A= 14 ft² and l= 2w-3
formula for area of a rectangle is A=lw
substitute for what you know and simplify:
14=(2w-3)w -> w= either -2 or 7/2 but because a width value can not be negative you can eliminate the -2 value. w=7/2
subsitute width into equation for length and solve
l=2w-3= 2(7/2)-3= 4
width: 3.5 ft
length: 4 ft
I'm going to assume that the question should say “at a profit of 5%”.
Restate question in the form of a equation.
Let C = the cost price of the item.
C + 0.705 C = C - 0.05 C + Rs 50
0.05 C = - 0.05 C + Rs 50
0.10 C = Rs 50
C = Rs 500
The cost price of the item is Rs 500
I hope this help you
Answer:
1/5
Step-by-step explanation:
There are 30 contestants. 16 are men, which means 14 are women.
All 14 women wear glasses. Since 20 of the contestants wear glasses, that means there are 6 men who wear glasses.
So the probability that a randomly selected contestant will be a male with glasses is 6/30 or 1/5.
Answer:
last choice
Step-by-step explanation:
sin(theta) is positive
tan(theta)=sin(theta)/cos(theta) is negative
If sin(theta) is positive and tan(theta) is negative, then cos(theta) is negative because +/-=-
So we are looking for the quadrant where sine is positive and cosine is negative or when x is negative and y is positive.
This is in quadrant 2 so our angle theta is between 90 and 180 degrees.
<h3>
The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300</h3>
Step-by-step explanation:
The weight of the car is given as:
P(C) = x² + 10 x + 200
The weight of the truck is given as:
P(T) = x³ + x + 100
Now, the combined weight of both vehicles is given as
= Weight of Car P(C) + Weight of Truck P(T)
P(W) = x² + 10 x + 200 + x³ + x + 100
= x³ + x² + (10 x + x)+ (200 + 100)
= x³ + x² + 11 x + 300
⇒ The combined weight of a car and truck is given as the polynomial P(W) = x³ + x² + 11 x + 300
