Answer:
33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution
Step-by-step explanation:
Set up two equations...
Let x represent the number of Liters of the 40% solution
Let y represent the number of Liters of the 25% solution
We need 50 liters total, so
x + y = 50
and we need the 50 L to be 35% solution, so
0.4x = 0.25y = 0.35(50)
Solve the first equation for one variable...
x = 50 - y (subtract y from both sides in equation 1)
Now substitute that value into the second equation...
0.4(50 - y) + 0.25y = 17.5 (x becomes 50 - y, 0.35(50) = 17.5)
Now solve for y...
20 - 0.4y + 0.25y = 17.5
-0.15y = -2.5
y = 16.66666667
y = 16 2/3 L
So we need to plug that into the first equation to find 'x'
x + 16 2/3 = 50
x = 50 - 16 2/3
x = 33 1/3
Answer:
110
Step-by-step explanation:
Suppose lines EH and BD are parallel:
Angle <GFE and angle <ABC are supplementary so their sum is equal to 180
2x + 10 + x + 20 = 180 add like terms
3x + 30 = 180 subtract 30 from both sides
3x = 150 divide both sides by 3
x = 50
We are asked the value of <ACD
<ABD and <ACD are also supplementary so we can find the value od <ACD:
x + 20 + <ACD = 180 we know x = 50 so we can replace x with that
50 + 20 + <ACD = 180
70 + <ACD = 180 subtract 79 from both sides
<ACD = 110
We need the radius to find the surface area. Since we have the circumference we can use that to find the radius.
C = 2πr
23 = 2(3.14)r
23 = 6.28r
23/6.28 = r
3.66 = r
Now use the radius to find the surface area.
SA = 4πr²
SA = 4(3.14)(3.66)²
SA = 168.33
Surface area is C. 168 cm²
Hope this helps :)
1. The lowest common multiple between 15 and 12 is 60.
So, the new denominator of the fraction become 60.
2. Because 15*4= 60 ; 12*5 =60
For sustaining the balance, we should multiply 24 (the first molecule) to 4 times and multiply 12 (the second molecule) to 5 times.
Like, 24*4 and 32*5
3.New denominator :60
New molecules : 24*4 + 32*5 = 256
Thus, 256/60
4.Ruduce of a fraction : 256/60 = 64/15
You can use the slope formula to figure this out, or you can just use common sense.
m(slope)=y2 - y1 / x2 - x1
Two points of the line are (3,1) (5,-3)
(-3 - 1) / (5-3) = -4 / 2 = - 2
Or you can just do rise over run (slope).
The line goes right 1 (run) and down 2 (rise)
Down 2 = -2
-2/1, or -2
-2 is your answer.
