f(x)=x-7 and g(x)=2x-3
find f(g(4))

Answer:B

Step-by-step explanation:

Answer:

90000 gallons

Step-by-step explanation:

Given

[tex]Capacity\ at\ 60\% = 540000[/tex]

Required

Determine the full capacity

Let the maximum number of gallons be m.

So, we have:

[tex]60\% * m = 54000[/tex]

Convert % to decimal

[tex]0.60 * m = 54000[/tex]

Divide both sides by 0.60

[tex]m = \frac{54000}{0.60}[/tex]

[tex]m = 90000[/tex]

Hence, the maximum number of gallons it can hold is 90000 gallons

Answer:

Step-by-step explanation: capacity is 60% = 54000

Determine what is missing = 90000

Answer:

10

Step-by-step explanation:

Let XY = a

Since,

XY + YZ = XZ

a + YZ = 24

YZ = 24 - a

By angle bisector property:

[tex]\frac{WX}{WZ} = \frac{XY}{YZ} \\ \\ \frac{15}{21} = \frac{a}{24 - a} \\ \\ \frac{5}{7} = \frac{a}{24 - a} \\ \\ 5(24 - a) = 7a \\ \\ 120 - 5a = 7a \\ \\ 120 = 7a + 5a \\ \\ 120 = 12a \\ \\ a = \frac{120}{12} \\ \\ a = 10 \\ \\ \implies \: XY = 10[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

For many "mixture" problems, it is convenient to use a variable for the quantity of the highest contributor. Here, we can use 'a' to represent the number of adult tickets, because adult tickets cost the most. Then the number of student tickets is (a+25), and the total revenue is ...

  6a +3(a+25) = 660

  9a +75 = 660

  9a = 585

  a = 65

  (a+25) = 90

The drama class sold 90 student tickets and 65 adult tickets.

Answer:

522.0

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

Answer:

522.0

Step-by-step explanation:

Step-by-step explanation:

10*6=60

60*8.7=522.0

or you can take out the zero either way that's the answer

Answer:

The cost per pound of the ham is $5.89.

Step-by-step explanation:

Given that a 4kg ham cost $13/kg, in order to find the cost per pound the following calculation has to be made:

1 kg = 2.20462 pounds

2.20462 = 13

1 = X

((1 x 13) / 2.20462) = X

13 / 2.20462 = X

5.89 = X

Therefore, the cost per pound of the ham is $5.89.

9514 1404 393

Answer:

  C  21

Step-by-step explanation:

You can approach this any of several ways. The following conditions must be true:

  adjacent angles total 180°

  opposite angles are congruent

Using the latter relation on the upper right and lower left angles, we have ...

  4x -1 = 3x +20

  x = 21 . . . . . . . . . . add 1-3x to both sides

Answer:

Step-by-step explanation:

The graph of x - y = 1 is plotted below

The given equation is:

x - y = 1

The equation can be rewritten as:

y = x - 1

This is of the form y = mx + 1

where m is the slope

c is the y-intercept

Compare the equation y = mx + 1 with y = x - 1

The slope, m = 1

The y-intercept, c = -1

The graph of the equation y = x - 1 is plotted below

Learn more on graphs of linear equations here: https://brainly.com/question/14323743

Answer:

1. 25

2. 9

Step-by-step explanation:

If I'm correct, to complete the square you need to use [tex](\frac{b}{2} )^{2}[/tex]

So, for #1, b is 10. [tex]\frac{10}{2}[/tex] = 5. [tex]5^{2}[/tex] = 25.

For #2, b is -6. [tex]\frac{-6}{2}[/tex] = -3. [tex]-3^{2}[/tex] = 9.

Answer:

u = 135

hoped i helped u

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

A coin has two faces (H, T)

n(S) = 2 (sample space)

If it is tossed and a rail is gotten,

n(E) = 1 (event)

Probability of tossing a tail = n(E)/n(S)) = 1/2

If a dice is rolled, the sample space S = {1, 2, 3, 4, 5, 6}

n(S) = 6

Number greater than 1 are the evens E = {2, 3, 4, 5, 6}

n(E) = 5

pr(rolling a number greater than 1) = 5/6

Hence  the probability of tossing a tail and then rolling a number greater than 1 = 1/2 * 5/6

= 5/12

Answer:

6. No, they are not similar. The differences in the side angles are not the same for RS and MP. That relationship equals 1.3, but the other side lengths' relationships are equal to 1.25. Thus, due to the fact that the side lengths are not all equal to the same value, the triangles are not similar.

7. No, they are not similar. The angles are not the same for the two triangles. I know this due to how 48+77 is equal to 125. 180-125 is not equal to 66. Similarly, 48+66 is equal to 114, and 180-114 is not equal to 77.

Step-by-step explanation:

Answer:

hello! :) have a good day!

1). 24

2). 27

3). 5

PICTURE 1:

The answer is 24: (13 7/10) Rounded To The Nearest Whole Number is: (14)

[tex]13 \frac{7}{10} = 14[/tex]

AND,

(10 1/8) Rounded To The Nearest Whole Number is: (10)

[tex]10 \frac{1}{8} = 10[/tex]

So, 14 + 10 = 24

______________________________________

PICTURE 2:

The answer is 5: (8 1/5) Rounded To The Nearest Whole Number is: (8)

[tex]8 \frac{1}{5} = 8[/tex]

AND,

(2 7/8) Rounded To The Nearest Whole Number is: (3)

[tex]2 \frac{7}{8} = 3[/tex]

So, 8 - 3 = 5

______________________________________

PICTURE 3:

The answer is 27: (58 5/12) Rounded To The Nearest Whole Number is: (58)

[tex]58 \frac{5}{12} = 58[/tex]

AND,

(30 5/7) Rounded To The Nearest Whole Number is: (31)

[tex]30 \frac{5}{7} = 31[/tex]

So, 58 - 31 = 27

______________________________________

HERE ARE ALL THE ANSWERS:

PICTURE 1: 24

PICTURE 2: 5

PICTURE 3: 27

HOPE THIS HELPS!! :)

9514 1404 393

Answer:

  1080

Step-by-step explanation:

The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...

  0.80(1 -25%) = 0.80×0.75 = 0.60

times the original.

The final price was ...

  1800 × 0.60 = 1080

Answer:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}\\=\frac{x^2+(2-1)x-2}{x^2(x-1)+2(x-1)}\\=\frac{x^2+2x-x-2}{(x-1)(x^2+2)}\\=\frac{x(x+2)-1(x+2)}{(x-1)(x^2+2)}\\=\frac{(x-1)(x+2)}{(x-1)(x^2+2)} \\=\frac{x+2}{x^2+2}\\So, ~last~option~is~the~correct~answer.[/tex]

The simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.

It is defined as the combination of constants and variables with mathematical operators.

We have an expression:

[tex]\rm \dfrac{\left(x^2+x-2\right)}{x^3-x^2+2x-2}[/tex]

[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{x^3-x^2+2x-2}[/tex]

[tex]\rm =\dfrac{\left(x-1\right)\left(x+2\right)}{\left(x-1\right)\left(x^2+2\right)}[/tex]

= (x + 2)/(x² + 2)

Thus, the simplest form of the provided expression is (x + 2)/(x² + 2) option (D) is correct.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ5

According to the vertical asymptote of the graph, the rational function is:

A. [tex]F(X) = \frac{1}{x + 4}[/tex]

A vertical asymptote of a function is a point that is outside of it's domain.

In the graph, the vertical asymptote is at x = -4, hence [tex]x = -4 \rightarrow x + 4 = 0[/tex] is a root of the denominator, and the correct option is:

A. [tex]F(X) = \frac{1}{x + 4}[/tex]

To learn more about vertical asymptotes, you can take a look at https://brainly.com/question/11598999

Answer to your question is A. F(X)=1/x+4

Answer:

24 miles

Step-by-step explanation:

3 hours = 180 minutes

[tex]\frac{4}{y}: \frac{30}{180}[/tex]

y × 30 = 4 × 180

30y = 720

30y ÷ 30 = 720 ÷ 30

y = 24

Answer:

2

Step-by-step explanation:

If I were the buyer, I would prefer cash payments to paying in instalment.

In order to determine which payment method I would prefer, I would have to determine the future value of the payment in instalment terms.

The formula for calculating future value = A (B / r)

B = [(1 + r)^n] - 1

P2,500 x (1.09^6 - 1) / 0.09 = P18,808.34

Paying in instalments is more expensive.

To learn more about future value, please check: https://brainly.com/question/14640433

Answer:

Options (A), (C) and (E)

Step-by-step explanation:

System of inequalities has ben given as,

y ≥ 0.75x

y ≤ 2x - 7

By satisfying with the points given in the options,

Option A. (8, 8)

y ≥ 0.75x

8 ≥ 0.75(8)

8 ≥ 6

True

y ≤ 2x - 7

8 ≤ 2(8) - 7

8 ≤ 9

True.

Therefore, (8, 8) is the solution of the given system.

Option (B) (2, 2)

y ≥ 0.75x

2 ≥ 0.75(2)

2 ≥ 1.5

True

y ≤ 2x - 7

2 ≤ 2(2) - 7

2 ≤ -3

False

Therefore, Option B is not the solution.

Option C (9, 7)

y ≥ 0.75x

7 ≥ 0.75(9)

7 ≥ 6.75

True

y ≤ 2(x) - 7

7 ≤ 2(9) - 7

7 ≤ 11

True

Therefore, Option B is the solution of the system of inequalities given.

Option D (4, 6)

y ≥ 0.75x

6 ≥ 0.75(4)

6 ≥ 3

True

y ≤ 2x - 7

6 ≤ 2(4) - 7

6 ≤ 1

False

Therefore, Option (D) is not the solution.

Option E (10, 9)

y ≥ 0.75x

9 ≥ 0.75(10)

9 ≥ 7.5

True.

y ≤ 2x - 7

9 ≤ 2(10) - 7

9 ≤ 13

True

Therefore, Option E is the solution of the given system of inequalities.

Options (A), (C) and (E) are the correct options.

Answer:

1.  18x+200

If x=21, answer: 578$

2. (3160-400)/ 120=x

x=23

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation: