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4 years ago

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In a serving of 8 fluid ounces of pomegranate juice there are 32.8 grams of carbohydrates. Write and solve an equation to find t

he amount of carbohydrates in each fluid ounce of the juice l.

2 answers:

AleksandrR [38]4 years ago

6 0

8 = 32.8 and 1 = 32.8.
32.8 divided by 8 equals 4.1 grams of carbohydrates in each fl. oz

Sveta_85 [38]4 years ago

4 0

The answer is 4.1 carbohydrates.

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Consider the system of equations. 3x + 2y = 16, x + y = 4 Which numerical values could you multiply the second equation by to el

andrezito [222]

Answer: -2

Step-by-step explanation:

3x+2y=16

x+y=4 multiply by -2

-2x-2y=-8

3x+2y=16 ------a

-2x-2y=-8 -------b

Add equation a and b

(3x+-2x)+(2y+-2y) = 16+(-8)

x+0=8 (y has been eliminated)

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4 years ago

Read 2 more answers

Find the common multiple of 5 and 6 between 100 mathfind the common multiple of 5 and 6 between hundred

Brrunno [24]

Answer

100 multiples of 5 greater than 100 are:

Step-by-step explanation:

105, 110, 115, 120, 125, 130, 135, 140, 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200, 205, 210, 215, 220, 225, 230, 235, 240, 245, 250, 255, 260, 265, 270, 275, 280, 285, 290, 295, 300, 305, 310, 315, 320, 325, 330, 335, 340, 345, 350, 355, 360, 365, 370, 375, 380, 385, 390, 395, 400, 405, 410, 415, 420, 425, 430, 435, 440, 445, 450, 455, 460, 465, 470, 475, 480, 485, 490, 495, 500, 505, 510, 515, 520, 525, 530, 535, 540, 545, 550, 555, 560, 565, 570, 575, 580,

4 0

2 years ago

Find the particular solution of the differential equation dy + 7y = 6 satisfying the initial condition y(0) = 0. Answer: y= Your

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

We have the equation $y'+7y=6$ with the initial condition $y(0)=0$ . It is not difficult to notice that this is a linear equation, which has the general expression

$y'+P(x)y=Q(x)$ .

The solution of this equation is expressed by a general formula:

$y(x) = \exp\left(-\int P(x)dx\right)\left(\int Q(x)\exp\left(-\int P(x)dx\right) +C\right)$ .

In the particular case of our equation, we have

$P(x)=7$

$Q(x)=6$ .

Then, we must calculate the integrals

$\int 7dx = 7x$ that implies

$\exp\left(-\int P(x)dx\right) = e^{-7x}$ ,

and

$\int 6e^{7x}dx = \frac{6}{7}e^{7x}$

Then,

$y(x) = e^{-7x}\left(\frac{6}{7}e^{7x} +C\right) = \frac{6}{7} + Ce^{-7x}$ .

In order to obtain the value of the constant we substitute the initial condition

$0=y(0) = \frac{6}{7} + C$ that implies $C=-\frac{6}{7}$

Therefore,

$y(x) = \frac{6}{7}-\frac{6}{7}e^{-7x}$ .

8 0

3 years ago

Find the value of a and TV if U is between T and V<br> TU = 3a - 4, UV = 6a + 2, and TV = 5a + 22

vovangra [49]

Answer:

a = 6

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Step-by-step explanation:

TU + UV = TV

3a - 4 + 6a + 2 = 5a + 22

Add like terms in RHS

3a + 6a - 4 + 2 = 5a +22

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Add 2 to both sides

9a = 5a + 22 + 2

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Subtract 5a from both sides

9a - 5a = 5a + 24 - 5a

4a = 24

Divide both sides by 4

4a/4 = 24/4

a = 6

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= 5*6 + 22

= 30 + 22

TV = 52

3 0

3 years ago

I NEED HELP!!! Hurry

egoroff_w [7]

Answer:

222,547.5 cm^3.

Step-by-step explanation:

The formula for the volume of a cylinder is pi * r^2 * h.

In this case, h = 315.

r = 30 / 2 = 15.

pi * (15)^2 * 315

= pi * 225 * 315

= pi * 70,875

= 3.14 * 70,875

= 222,547.5 cm^3.

Hope this helps!

7 0

3 years ago