Let volume of 4% solution = x and of 14% be y
them x + y = 65........(1) also using the actual weights of salt:-
0.04x + 0.14y = 65*0.06 = 3.9
multiplying the above equation by -25 we have
-x - 3.5y = -97.5 adding this to equation (1)
--2.5y = -32.5
y= 13
and x = 65 - 13 = 52
so we need 13 mls of the 14%, and 52 mls of the 4% solution.
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:
The venue has to host 47 events throughout the year
Step-by-step explanation:
Profit:
Profit is revenue subtracted by costs.
Per event:
$100,000 revenue
$50,000 costs
$100,000 - $50,000 = $50,000 profit.
If the venue wants to make a total profit margin of $2,350,000, how many events does the venue have to host throughout the year?
1 event - $50,000 profit.
x events - $2,350,000 profit.
The venue has to host 47 events throughout the year
Answer:
I have left $88
Step-by-step explanation:
Step two:
Given data
Initial amount= $56
deposited amount= $42
The balance after deposit will be= 56+42
=$98
Step two:
If I withdraw 10 dollars
The new balance will be
=98-10
=$88
Hence I have left $88
Answer:
D
Step-by-step explanation:
-9x-27+12 = -6x-15-3x
0=0
D) the equation has infinitely many solutions