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
Isn't it just 6.8? Pretty sure that is the answer
Answer:
The answer is the first option
hope this helps
Step-by-step explanation:
Given: <span>y = x^2 + 6x - 5. Then a = 1, b = 6 and c = -5.
The x-coord. of the vertex is given by x = -b / (2a), which here is x = -6 / (2*1) = -3.
Use the given formula </span><span>y = x^2 + 6x - 5 to find the value of y when x = -3:
y = (-3)^2 + 6(-3) - 5 = 9 - 18 - 5 = -14
Then the vertex is (-3, -14).</span>
Answer:
1a. 58/99
1b. 53/90
1c. 29/50
Step-by-step explanation:
let's start with the easiest one
1.(c)
0.58 = 58/100 = 29/50
that is the simplest possible form, as 29 is a prime number and not a factor of 50.
1.(a)
0.585858585858... = 58×0.0101010101010101...
now, we know that 1/"double digit" (like 1/22) mostly produces a repeating pattern with a period length of 2 after the decimal point.
and we find
1/99 = 0.01010101010101...
so, our solution is
58 × 1/99 = 58/99
that is the simplest possible form, as 58 and 99 do not share any factors.
1.(b)
0.5888888888888... = 0.5 + 0.0888888888888... =
= 0.5 + 8×0.01111111111111... = 0.5 + 8×1/10 × 0.1111111111...
we know how to create 0.11111111111... :
1/9 = 0.111111111111111...
so, our solution is
0.5 + 8 × 1/10 × 1/9 = 0.5 + 8/90 = 5/10 + 8/90 =
= 45/90 + 8/90 = 53/90
this is the simplest possible form, as 53 is already a prime number and not a factor of 90.
