Maddison bought 2 oranges which cost ($.60 x 2 = $1.20) $1.20 total. Ronald bought 4 apples which cost ($.50 x 2 = $2.00). Now if we compare the difference between how much Ronald and Madison have spent so far we see that Ronald has spent $.80 more than Madison ($2.00-$1.20 = $.80). That means that Madison has $.80 more cents to spend on bananas than Ronald. We know that Madison buys 2 more banana than Ronald. So 2 bananas must cost $.80 cents. Divide the 80 cents by the 2 bananas and you figure out that each banana costs $.40 cents. ($.80 / 2 = $.40). To check that this math is correct next add $.40 cents for each banana to the amount of the other fruits they bought. So Madison bought 2 oranges ($1.20) and 3 bananas($.40 x 3 = $1.20) which together costs $2.40 total ($1.20 + $1.20). Ronald bought 4 apples ($2.00) and 1 banana ($.40) which together cost $2.40 ($2.00 + $.40 = $2.40. We can see that if the bananas cost $.40 cents each, Madison and Ronald will end up spending the same amount.
Answer:
The dimensions of triangle are 66 ft, 33 ft and 47 ft
Step-by-step explanation:
Let
x -----> the length of one side
y -----> the length of the shortest side
z -----> the length of the third side
we know that
The perimeter of triangle is
![P=x+y+z](https://tex.z-dn.net/?f=P%3Dx%2By%2Bz)
![P=146\ ft](https://tex.z-dn.net/?f=P%3D146%5C%20ft)
so
-----> equation A
-----> equation B
----> equation C
Substitute equation B and C in equation A and solve for y
![146=2y+y+y+14](https://tex.z-dn.net/?f=146%3D2y%2By%2By%2B14)
![146=4y+14](https://tex.z-dn.net/?f=146%3D4y%2B14)
![4y=146-14](https://tex.z-dn.net/?f=4y%3D146-14)
![4y=132](https://tex.z-dn.net/?f=4y%3D132)
![y=33\ ft](https://tex.z-dn.net/?f=y%3D33%5C%20ft)
<em>Find the value of x</em>
<em>Find the value of z</em>
therefore
The dimensions of triangle are 66 ft, 33 ft and 47 ft
Answer:
D.
Step-by-step explanation:
So first you need to find the circumference.
22π ≈ 69.08
3600 ÷ 69.08 = 52.1134916039
Closest = D.
So based on the given options above, the correct answer would be option E. The explicit formula for the following geometric sequence which is 0.2, -0.06, 0.018, -0.0054, 0.00162, ... would be this: an = 0.2(-0.3)^n-1. When we say geometric sequence, this is the sequence of numbers wherein each term after the first is <span>found by multiplying the previous one by a fixed, non-zero number called the common ratio. Hope this answer helps.</span>
The density of the cube is 0.11 g/cm³
<u>Explanation:</u>
Given:
Side of a cube, a = 6 cm
Mass of the cube, m = 24g
Density, d = ?
Volume of the cube = (a)³
V = (6)³
V = 216 cm³
We know,
![Density = \frac{mass}{volume}](https://tex.z-dn.net/?f=Density%20%3D%20%5Cfrac%7Bmass%7D%7Bvolume%7D)
On substituting the value we get:
![d = \frac{24}{216} \\\\d = 0.11g/cm^3](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B24%7D%7B216%7D%20%5C%5C%5C%5Cd%20%3D%200.11g%2Fcm%5E3)
Therefore, the density of the cube is 0.11 g/cm³