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
Answer:
387, or you can do it another way in the problem if you like/.
Step-by-step explanation:
3x9=27
4x9=36
36+2=38
387
Answer:
y - 4 = (4/3)(x - 1)
Step-by-step explanation:
point slope form is
y - y1 = m(x - x1)
m is the slope
(x1, y1) is a point on the line
----------------------------
for m = 4/3 and (x1, y1) = (1, 4)
y - 4 = (4/3)(x - 1)
If she gets 3% of what she sells you multiply the decimal form of the percent by the amount she has made:
50*.03=1.5
So she make $1.50 for every $50 of sales, so you multiply the amount she made by her commission each day by the number of days she worked:
1.5*30=45
She earned a total of $45<span />
Answer:
mYW = 151°
Step-by-step explanation:
∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:
m∠XWY = mXY / 2
37° = mXY / 2
mXY = 74°
All arcs in a circle add up to 360°. Because of this, we can say:
mXY + mYW + mWX = 360°
74° + mYW + 135° = 360°
209° + mYW = 360°
mYW = 151°
