Answer:
30% constituents=20 mL
10% constituents=180 mL
Step-by-step explanation:
x= 30% volume
y=10% volume
For our first equation, we know the total volume is 200 mL and is the sum
x+y=200
y=200-x (1)
For our second equation, we do a mass balance for 200 mL of final solution.
12% w/v = 0.12 g/mL
This means that in 1 mL of solution, we have 0.12 g of NaCl.
For any solution, concentration multiplied by volume will give the mass of NaCl:
Mass in x mL= C*V (g/mL) (mL)
So in 200 mL, we have
0.12*200 (g/mL) (mL)
=24g of NaCl
Cx*Vx + Cy*Vy=24
0.3x+0.1y=24 (2)
Substitute y=200-x into (2)
0.3x+0.1(200-x)=24
0.3x+20-0.1x=24
0.2x=24-20
0.2x=4
Divide both sides by 0.2
0.2x/0.2=4/0.2
x=20
Substitute x=20 into (1)
y=200-x
y=200-20
y=180
30% constituents=20 mL
10% constituents=180 mL
Answer:
$152.33
Step-by-step explanation:
123.85 x 0.05 = $6.19
123.85 x 0.18 = $22.29
123.85 + 6.19 + 22.29 = $152.33
1600×85%=1360 I think that 1360 Tickets were sold
The increase in price is 140% of the original price.
The original price was 100% of the original price since 100% is a whole quantity.
Now the new price is 140% more than it was, so the new price is
100% + 140% of the old price.
100% + 140% = 240%
Now we find 240% of $50.
To find a percent of a number, multiply the percent by the number.
240% of $50 =
= 240% * $50
= 2.4 * $50
= $120
Answer: 10 ft of gold wire now costs $120
Gold wire now costs $12 per foot.
3/2(x - 10 ) = 1/2 x + 5
expand by using distributive property
3/2 x - 15 = 1/2 x + 5
subtract (1/2 x ) on both sides
x - 15 = 5
add 15 on both sides
x = 20
answer
C. x = 20
