Answer:
D
Step-by-step explanation:
We will let d represent the amount of dimes Angela has.
Angel has 5 fewer quarters than twice the number of dimes.
Twice the number of dimes will be 2d.
Then, 5 fewer will yield 2d-5.
Therefore, the amount of quarters Angela has is 2d-5.
Then, the total amount of coins (dimes and quarters) together, will be:
The first part is the amount of dimes.
And the second part is, as we determined, the amount of quarters.
Therefore, our answer is D.
That would be C
A is 9 - 3 = 6
B is 9 / 3 = 3
D is 9 + 3 = 12
So remaining option would be C.
Hope this helps.
Answer:
Approximately 338,000 people live in that area.
Step-by-step explanation:
In order to solve this problem we first need to find the area of the region, since it's delimited by a 7 miles radius, then we can assume it's a circular region. The area of the circle can be calculated by the following formula:
area = pi*r² = 3.14*(7)² = 153.86 miles²
Since the region has a density of 2200 people per square mile and the density is given by the formula:
density = number of people / area
We can find the number of people living in the region by doing:
number of people = density*area
Applying the data from the problem:
number of people = 2200*(153.86) = 338,492 people
I know the answer to this
Answer:
12m²
Step-by-step explanation:
For a rectangle, with length L and width W,
the perimeter is given as
Perimeter,
P = (2 x Length) + (2 x Width)
P = 2L + 2W
It is given that the perimeter is 48, hence
48 = 2L + 2W (divide both sides by 2)
24 = L + W
or
L = 24 - W -----> eq 1
Also realize that the Area of a Rectangle is given by
A = L x W -----> eq 2
Substituting eq 1 into eq 2,
A = (24 - W) x W
A = -W² + 24W
Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a
In this case, b = 24 and a = -1
-b/2a = -24/[ 2(-1) ] = 12
Hence for A to be maximum A(max) = 12m² (Answer)
