Part B
Based on your calculations in part a, did Kelvin ski twice as long without falling as anyone else in the family?

Answer:

1.  18x+200

If x=21, answer: 578$

2. (3160-400)/ 120=x

x=23

Step-by-step explanation:

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

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:

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

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:B

Step-by-step explanation:

Answer:

24÷8=3

Step-by-step explanation:

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:

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]

Answer:

Yes

Step-by-step explanation:

Yes ,a rational number is a number that can be expressed as a fraction. Repeating and terminating decimal are rational number so

5/6 is right since it is a fraction

6.565646 is right since it is a repeating decimal

0.23 is right since it is a terminating decimal

-5 3/8 is right since it is a mixed number

Sqr root of 11 and 0.32416.... is wrong since it creates multiple random unknown digits

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:

[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:

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#SPJ5

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.

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:

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!! :)

Answer:

The cost of that car in 2012 dollars is $20,755

Step-by-step explanation:

We take a look at inflation values of the dollar to solve this question.

100 dollars in 1976 are equivalent to 469.48 dollars in 2021.

100 dollars in 2012 are worth 113 dollars today.

So, to find the 2012 equivalent, we divide 469.48 by 113/100 = 1.13. So

469.48/1.13 = 415.5.

That is, 100 dollars in 1976 are equivalent to 415.5 dollars in 2012, that is, 1 dollar in 1976 was worth 4.155 dollars in 2012.

In 1976, a certain model of car cost $5,000. What would be the cost of that car in 2012 dollars?

Multiplying by 4.155

5000*4.155 = 20,755

The cost of that car in 2012 dollars is $20,755

Answer:

For soda =3/4

For coke= 3/5 X 3/4=9/20

Whole class is 1....

Therefore X% of 1 =9/20

Solving :

X/100 X 1 =9/20

X/100=9/20

20X =900

X= 900/20 = 45%

Answer:

2

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Let the number to be decreased be x. To decrease x by 30 %, the result will be

= x - 30% * x

= x - 0.3x

= 0.7x

From above, the result is 0.7 multiplied by the number to be reduced. Hence the multiplier is 0.7

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:

2/3

Step-by-step explanation: