All categories

3 years ago

tony had 1 1/2 gallons of orange juice. He drank 2/7 of the orange juice he had. How mucj orange juice did Tony drink?

1 answer:

6 0

There are several information's of immense importance already given in the question.
Amount of juice that Tony actually had = 11/2 gallons
Amount of juice that Tony drank = (11/2) * (2/7) gallons
= 11/7 gallons
From the above deduction, we can easily conclude that the amount of juice that Tony drank was 11/7 gallons.

You might be interested in

For which function is f(x) equal to f^1(x) ( answer choices in picture )

Sonja [21]

Answer:

C. $f(x)=\frac{x+1}{x-1}$

Step-by-step explanation:

Let's find the inverse of each of the given options.

Option A:

$f(x)=\frac{x+6}{x-6}\\y=\frac{x+6}{x-6}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+6}{y-6}$

Rewrite in terms of 'y'. This gives,

$x(y-6)=y+6\\xy-6x=y+6\\xy-y=6x+6\\y=\frac{6x+6}{x-1}$

The given function $y=\frac{6x+6}{x-1}\ne y=\frac{x+6}{x-6}$

So, option A is incorrect.

Option B:

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

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

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

Rewrite in terms of 'y'. This gives,

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

The given function $y=\frac{2x+2}{x-1}\ne y=\frac{x+2}{x-2}$

So, option B is incorrect.

Option C:

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

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

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

Rewrite in terms of 'y'. This gives,

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

The given function $y=\frac{x+1}{x-1}\ equals\ y=\frac{x+1}{x-1}$

So, option C is correct.

Option D:

$f(x)=\frac{x+5}{x-5}\\y=\frac{x+5}{x-5}$

To find $f^{-1}(x)$ , replace 'x' with 'y' and 'y' with 'x'. This gives,

$x=\frac{y+5}{y-5}$

Rewrite in terms of 'y'. This gives,

$x(y-5)=y+5\\xy-5x=y+5\\xy-y=5x+5\\y=\frac{5x+5}{x-1}$

The given function $y=\frac{5x+5}{x-1}\ne y=\frac{x+6}{x-6}$

So, option D is incorrect.

Therefore, only option C is correct.

7 0

3 years ago

2 − 4 x 6 Select the expression that represents the following statement: multiply the difference of 5 and 2 by 7, and then add 6

otez555 [7]

Hey there!

2 - 4 * 6

= 2 - 24

= -22

Option A.
7 * (5 - 2) + 6

= 7 * 3 + 6

= 21 + 6

= 27

Option A. is incorrect

Option B.
5 + 2 * 7 + 6

= 5 + 14 + 6

= 19 + 6

= 25

Option B. is also incorrect

Option C.
7 * (5 + 2) - 6
= 7 * 7 - 6

= 49 - 6

= 43

Option C. is also incorrect

Option D.

6 - 2 + (7 * 5)

= 6 - 2 + 35

= 4 + 35

= 39

Thus, it seems like NONE of the ABOVE is correct

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

7 0

3 years ago

For f(x)=4x+1 and g(x)=x^2-5 find (g/f)(x)

Ipatiy [6.2K]

$f(x)=4x+1\\\\g(x)=x^2-5\\\\(g/f)(x)=\dfrac{g(x)}{f(x)}=\dfrac{x^2-5}{4x+1}$

6 0

3 years ago

Read 2 more answers

Find the interquartile range (IQR) of the data in the dot plot below. chocolate chips 0 0 1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10

Brums [2.3K]

*The dot plot is shown in the attachment below

Answer:

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

3 0

4 years ago

What would be the steps in solving 2b + 3b = 3?

sweet-ann [11.9K]

The answer is $b=\frac{3}{5}$ .

Let's solve your equation step-by-step.

2b+3b=3

Step 1: Simplify both sides of the equation.

2b+3b=3

(2b+3b)=3(Combine Like Terms)

5b=3

Step 2: Divide both sides by 5.

5b/5=3/5

So, the answer is $b=\frac{3}{5}$ .

4 0

3 years ago