Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Hope this helps but the answer is A.(-5,2)
Answer:
im pretty sure its 24
Step-by-step explanation:
because 12+12=24
Answer:
The Amin's score in math was 46.
Step-by-step explanation:
The question is:
The average math score for Amin, azman and aziz is 73. Azman marks 35 more than Amin while aziz is twice that of Amun. What is Amin's sign?
Solution:
Let us denote that:
<em>x</em> = Amin's score in math
<em>y</em> = Azman's score in math
<em>z</em> = Aziz's score in math.
The average of <em>x</em>, <em>y</em> and <em>z</em> is, 73.
That is:
Now it is provided that:
Use the equations (i) and (ii) to determine the value of <em>x</em> as follows:
Thus, the Amin's score in math was 46.
Answer:
Step-by-step explanation:
Gradient of a line =( y2 - y1)/x2 - x1
From the question, x1=4,y1=-1,x2=1,y2=0.
Therefore, substitute for these values in the above formula
m = 0-(-1)/1-4
= 0+1/-3
= -1/3.
Therefore, y-y1/x-x1 = -1/3
y - y1 = -1/3(x - x1)
y - (-1) = -(x-x1)/3
y+1 = - (x - 4)/3
Multiply through by 3
3y+3= -x+4
3y +x=4-3
x+3y= 1
Therefore the answer is A.
