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2 years ago

14

On the ratio of 8 ounces to 1 cup how many ounces are in 4 cups?

1 answer:

olchik [2.2K]2 years ago

4 0

Answer:

there are 32 ounces in 4 cups

Step-by-step explanation:

8 X 4 = 32

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HELP ASAP PLZ i need help !<br>help me :((

kodGreya [7K]

Answer:

(1) $g[f(x)]=\frac{8x-1}{12x-4}$

(2) $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

Step-by-step explanation:

Given functions f(x) = (4x-1)

are $g(x)=\frac{2x+1}{3x-1}$

(1) $g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}$

$=\frac{8x-2+1}{12x-3-1}$

$=\frac{8x-1}{12x-4}$

(2) for $g^{-1}(x)$ , rewrite the function g(x) in terms of an equation

$y=\frac{2x+1}{3x-1}$

Substitute y in place of x and x in place of y, then solve for y.

$x=\frac{2y+1}{3y-1}$

(3y-1)x = 2y+1

3xy - x = 2y + 1

3xy - 2y = x + 1

y(3x-2) = x + 1

$y=(\frac{x+1}{3x-2} )$

⇒ $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $f[g(x)]=(x-1)$

$f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)$

⇒ $\frac{(8x+4)-(3x-1)}{3x-1}=(x-1)$

⇒ $\frac{8x-3x+4+1}{3x-1}=(x-1)$

⇒ $\frac{5x+5}{(3x-1)}=(x-1)$

⇒ $5x+5=(3x-1)(x-1)$

⇒ $5x+5=3x^2-3x-x+1$

⇒ $5x+5=3x^2-4x+1$

⇒ $3x^2-9x-4=0$

⇒ $x=\frac{9\pm\sqrt{(-9)^2-4(-4)\times3} }{2\times3}$

$x=\frac{9\pm\sqrt{81+48} }{6}$

$x=\frac{9\pm\sqrt{129} }{6}$

$x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

4 0

3 years ago

The teacher collected some snowfall data during one of the snow days last year. Estimate the total snowfall throughout the day.

Sedaia [141]

The total snowfall throughout the day is the expected value of the distribution.

The estimated total snowfall during the day is 30 inches

Start by calculating the average rate of snow collected on that day.

$Rate = \frac{0 + 1.5 + 2.5 + 2.0 +1.0 +0.5}{6}$

This gives

$Rate = \frac{7.5}{6}$

Divide 7.5 by 6

$Rate = 1.25$

There are 24 hours in a day.

So, the total snowfall is:

$Total = Rate \times Hours$

This gives

$Total = 1.25 \times 24$

Multiply

$Total = 30$

Hence, the estimated total snowfall during the day is 30 inches

Read more about expected values at:

brainly.com/question/13005177

3 0

2 years ago

Someone please help me

nekit [7.7K]

Answer:

the equation has no answers

7 0

3 years ago

I will give brainilest

S_A_V [24]

Answer 19:1

Work:
Students scoring above 80 -
9+18+72+15= 114

Students score exactly 80-
6

114/6 = 19

19 students scored above 80 for every 1 student that scored exactly 80.

3 0

3 years ago

Which expression is equivalent to y x 48?

Nostrana [21]

Answer: (y*40)+(y*8)

Step-by-step explanation:

7 0

2 years ago