Lizzie has 18 dimes and 12 quarters
<em><u>Solution:</u></em>
Let "d" be the number of dimes
Let "q" be the number of quarters
We know that,
value of 1 dime = $ 0.10
value of 1 quarter = $ 0.25
Given that LIzzie has 30 coins
number of dimes + number of quarters = 30
d + q = 30 ---- eqn 1
Also given that the coins total $ 4.80
number of dimes x value of 1 dime + number of quarters x value of 1 quarter = 4.80
0.1d + 0.25q = 4.8 ------ eqn 2
Let us solve eqn 1 and eqn 2
From eqn 1,
d = 30 - q ---- eqn 3
Substitute eqn 3 in eqn 2
0.1(30 - q) + 0.25q = 4.8
3 - 0.1q + 0.25q = 4.8
0.15q = 1.8
<h3>q = 12</h3>
From eqn 3,
d = 30 - 12
<h3>d = 18</h3>
Thus she has 18 dimes and 12 quarters
Answer:
Step-by-step explanation:
first the parenthesis
3^4/3^0=3^4
anything raised to the power of 0 is 1
(3^4)^2=3^8 you multiply the powers
3^-6 * 3^8= 3^(-6+8)=3^2
Given:
Radius of the circle = 10 in
Central angle of the sector = 45 degrees
To find:
The area of the sector.
Solution:
Area of a sector is
Where, 
is the central angle in degrees.
Putting r=10 and 
, we get
Therefore, the area of the sector is 12.5π sq. inches.
Answer: (32/2)*3=48
Step-by-step explanation:
In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.
Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.
If we'd like to turn this into one equation, it looks like this: (32/2)*3=48
