Answer:
B.the total charge before applying sales tax
Step-by-step explanation:
Answer:
(1,2)
y=2
x=1
Step-by-step explanation:
x+y=3
3x+5y=13
solve the equation
x=3-y
3x+5y=13
substitute the value of x into an equation
3(3-y)+5y=13
distribute
9-3y+5y=13
add -3y to 5y
9+2y=13
subtract 9 from both sides
2y=4
divide both sides by 2
y=2
substitute the value of y into an equation
x=3-2
subtract 3 to 2
x=1
--------
(1,2)
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Answer:
5π m
Step-by-step explanation:
Using the pythagorean theorem we can figure out that the third side is 5m
A^2 + B^2 = C^2
3^2 + 4^2 = C^2
9 + 16 = C^2
25 = C^2
√23 = √(C^2)
C = 5m
Side C is also the diameter of the circle, so the radius is 5/2, or 2.5
From that we can use the circumference formula, Circumference = 2π<em>r</em>
Circumference = 2 π (2.5) = <u>5π m</u>
Hope this makes sense, x = 75!!
Answer:
c. 28 liters
Step-by-step explanation:
Given tha tJanet is mixing a 15% glucose solution with a 35% glucose solution. This mixture produces 35 liters of a 19% glucose solution. Now we need to find about how many liters of the 15% solution is Januet using in the mixture.
Let the number of liters of the 15% solution is Januet using in the mixture = x
Let the number of liters of the 35% solution is Januet using in the mixture = y
Then we get equations:
x+y=35...(i)
and
(15% of x) + (35% of y) = 19% of 35.
or
0.15x+0.35y=0.19(35)
15x+35y=19(35)
3x+7y=19(7)
3x+7y=133 ...(ii)
solve (i) for x
x+y=35
x=35-y...(iii)
Plug (iii) into (ii)
3x+7y=133
3(35-y)+7y=133
105-3y+7y=133
105+4y=133
4y=133-105
4y=28
y=28/4
y=7
plug y=7 into (iii)
x=35-y=35-7=28
Hence final answer is c. 28 liters
