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2 years ago

A beverage manufacturer is mixing up a 30% tomato juice blend. The manufacturer already

Mathematics

1 answer:

Mariulka [41]2 years ago

5 0

Answer:

1110 liters

Step-by-step explanation:

Let x = amount of 26% juice.

Amount of tomato juice:

740 liters of 36% juice contains 0.36(740) = 266.4 liters of tomato juice

x liters of 26% juice contains 0.26x liters of tomato juice

The result will be x + 740 liters of the juice blend at a concentration of 30%. It contains 0.3(x + 740) liters of tomato juice.

266.4 + 0.26x = 0.3(x + 740)

266.4 + 0.26x = 0.3x + 222

-0.04x = -44.4

x = 1110

Answer: 1110 liters

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What is 242 - 198 subtract

kirza4 [7]

The answer would be 44

7 0

2 years ago

Find the roots of h(t) = (139kt)^2 − 69t + 80

Sonbull [250]

Answer:

The positive value of $k$ will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let $h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ , roots are those values of $t$ so that $h(t) = 0$ . That is:

$19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0$ (1)

Roots are determined analytically by the Quadratic Formula:

$t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}$

$t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$

The smaller root is $t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ , and the larger root is $t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }$ .

$h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80$ has one real root when $\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0$ . Then, we solve the discriminant for $k$ :

$\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}$

$k \approx \pm 0.028$

The positive value of $k$ will result in exactly one real root is approximately 0.028.

7 0

2 years ago

PLZ HELP NNOOOOOOOWW!! 15 points!!

motikmotik

The midpoint of the line having the endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $(\frac{x_{1}+_x_{2}}{2}, \frac{y_{1}+_y_{2}}{2})$
basically average them

so given that the line has the endpoints of (-3,7) and (9,-2)
x₁=-3
y₁=7
x₂=9
y₂=-2

so the midpoint can be found by doing
$(\frac{-3+9}{2}, \frac{7+(-2)}{2})=$
$(\frac{6}{2}, \frac{7-2}{2})=$
$(3, \frac{5}{2})$

the midpoint is $(3,\frac{5}{2})$

4 0

2 years ago

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8

aleksklad [387]

Answer:

9/64

Step-by-step explanation:

The probability that the marble on the first draw is blue is 3/8.

The probability that the marble on the second draw is blue is also 3/8.

So the probability that both are blue is:

3/8 × 3/8 = 9/64 ≈ 14%

4 0

2 years ago

y : (<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B18%5C%5C%7D" id="TexFormula1" title="\frac{3}{18\\}" alt="\frac{3}{18\\}

poizon [28]

Answer:

whats the given?? what you need I don't understand

5 0

1 year ago

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