Answer:
She uses 200 milliliters of solution B
Step-by-step explanation:
Notice that there are two unknowns in this problem: 1) the amount of solution A that is being used, and 2) the amount of solution B being used. We can name such unknowns with letters to facilitate our work:
Amount of solution A to be used = A
Amount of solution B to be used = B
So, since we need to find two unknowns, we need to create a system of two equations to solve them.
Our first equation can be obtained from the sentence: "She uses twice as much Solution A as Solution B," which written in mathematical form is:
A = 2 B
The second equation we can build from the information of the amount of alcohol in each solution that combined will add up to 104 milliliters of alcohol in the mixture. Knowing the percent of alcohol in each solution, we can write an equation for the amount of alcohol:
0.19 A + 0.14 B = 104
Now we can use our first equation to substitute A in terms of B in the second equation:
0.19 (2 B) + 0.14 B = 104
0.38 B + 0.14 B = 104
0.52 B = 104
B = 104 / 0.52
B = 200 milliliters
2280 cm2, 2*((24*10)/2)+24*34+10*34+34*26=2280
Answer:
Step-by-step explanation:
the sum of the angles in a triangle is 180
33+2c+c-18=180
3c=180+18-33
3c=165
c=165/3
c=55
Answer:
Step-by-step explanation:
Harvey rides his bike at an average speed of 12 miles in 1 hour, 24 miles in 2 hours, and so on. Let h be the number of hours he rides and d be distance traveled. Write the equation for the relationship between distance and time in point-slope form.
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You have three points relating time and distance:
(1,12),(2,24),(3,36)
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The slope for your equation would be (24-12)/(2-1) = 12/1 = 12
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The intercept is the distance you would travel in no time; that would be zero.
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The equation is: distance = 12(time)
d = 12t
