The answer is
q + d = 12
0.25q + 0.10d = 2.40
q - the number of quarters
d - the number of dimes
You have 12 <span>coins, all quarters and dimes:
q + d = 12
The value of 1 quarter is $0.25.
The value of 1 dime is $0.10.
Therefore, if you want to pay </span>$2.40 you will have q quarters of value $0.25(0.25q) and d dimes of value $0.10d (0.10d).
The second equation is:
0.25q + 0.10d = 2.40
Answer:
<h3>AC=96 units.</h3>
Step-by-step explanation:
We are given a parallelogram ABCD with diagonals AC and BD intersect at point E.
, and CE=6x .
<em>Note: The diagonals of a parallelogram intersects at mid-point.</em>
Therefore, AE = EC.
Plugging expressions for AE and EC, we get

Subtracting 6x from both sides, we get


Factoriong quadratic by product sum rule.
We need to find the factors of -16 that add upto -6.
-16 has factors -8 and +2 that add upto -6.
Therefore, factor of
quadratic is (x-8)(x+2)=0
Setting each factor equal to 0 and solve for x.
x-8=0 => x=8
x+2=0 => x=-2.
We can't take x=-2 as it's a negative number.
Therefore, plugging x=8 in EC =6x, we get
EC = 6(8) = 48.
<h3>AC = AE + EC = 48+48 =96 units.</h3>

= (1/2) (17.2) (7.1) sin (21.67)
= 22.5470 square meters
Answer:
£288150
Step-by-step explanation:
We'll use the formula
PRT/100= interest
But in this case we are looking for principal P
Rate= 2%
Interest= £5763
T=1
P= (I*100)/(RT)
P= (5763*100)/(2*1)
P= 288150
The principal is £288150