Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero

The solution of the system of equations:

( -16.7, 19.28)

Here we have the system:

4x+3y=9

3x +4y = 36

First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:

x = 36/3 - (4/3)y = 9 - (4/3)y

Now we can replace this in the other equation:

4*(9 - (4/3)y) + 3y = 9

36 - (16/3)y + (9/3)y = 9

- (7/3)y = -36 - 9 = -45

y = (3/7)*45 = 19.28

To get the value of x, we get:

x = 9 - (4/3)*19.28 = -16.7

Then the solution of the system is ( -16.7, 19.28)

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Answer:

A

Step-by-step explanation:

The Y-intercept is -3.

The gradient is -3/4 since it goes down 3 every 4 tiles.

Answer:

[tex]y=-\frac{3}{4}x -3[/tex]

Step-by-step explanation:

Hey there!

We can form this equation in slope-intercept form

This means, we have to find the slope and the y intercept of the line

First lets find the slope

The equation for slope is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In order to find y and x, we need to take two points on the line

(-4, 0) and (0, -3)

x1   y1        x2  y2

Plug it in:

[tex]\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}[/tex]

This means, the slope is -3/4

Now we have to find the y-intercept

The y-intercept is where the line intercepts the y-axis

The line intercepts the y-axis at the point (0, -3)

So now that we have the slope and the y-intercept, we can form the equation

[tex]y=-\frac{3}{4}x-3[/tex]

Answer:

b. d > 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for d, isolate it on one side of the equation.

|d+4|>10

First, you have to subtract by 4 from both sides.

[tex]\sf{d+4-4 < -10-4}[/tex]

Solve.

Add or subtract the numbers from left to right.

-10-4=-14

[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]

Subtract by 4 from both sides.

[tex]\sf{d+4-4 > 10-4}[/tex]

Solve.

Subtract the numbers from left to right.

10-4=6

[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]

I hope this helps. Let me know if you have any questions.

Answer:

See below

Step-by-step explanation:

Feel free to be creative or even to come up with an activity you think your teacher has not seen before.

Liked that. So let's be creative.

Part 1: Record Information

Spend a short amount of time (one to five minutes) doing your activity. Answer the following questions:

1. What was the activity?

I am from Japan and practice Kendo (feel free to search about it). Suppose you are doing suburi. You did 100 joge suburi.

2. How long did you spend doing your activity?

Suppose it took you 5 minutes.

3. How much of the activity did you complete in the time period? (Example: I did 24 sit-ups in one minute.)

You did 100 joge suburi in 5 minutes. It means [tex]\frac{100}{5} =20[/tex] [tex]per[/tex] [tex]minute[/tex]

4. Which of these variables is your dependent variable?

If you want to calculate how much suburi you did in an amount of time , given the time in minutes, we can write the function

[tex]y=f(x)=20x[/tex]

Therefore, the dependent variable is the number of suburis. More precisely it is given by [tex]y[/tex]. On the other hand, the independent variable is [tex]x[/tex], the time.

Considering the example: I did 24 sit-ups in one minute.

sit-ups is the dependent variable and the number of minutes represents the independent variable.

Note: The number of sit-ups will depend on the time. 24 is the coefficient. In this case, the function would be

[tex]g(x)=24x[/tex]

5. Which one is the independent variable?

The time in minutes.

6. Write a sentence that describes the relationship between the dependent variable and the independent variable. (Hint: Ratio language can help.)

You can write: The ratio of suburi done is 100:5 or 20:1 because for every 1 minute passed you did 20 suburis.  

Part 2: Prepare a Table

Assuming that you could complete the activity at the same rate over different time periods, how much of the activity could you complete in two minutes, three minutes, four minutes, and five minutes? (Note: If you spent two minutes doing your activity, then you should edit the table below and use multiples of 2 up to 10).

You may use the table below for your variables.

Time (minutes)          Quantity of suburi

0                                         0

1                                          20

2                                         40

3                                         60

4                                          80

5                                         100

Part 3: Prepare a Graph

Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes.

This part I will let it to your. But is is just a linear graph.

Part 4: Write an Equation

Based on your recorded values, write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed. Make sure to define your variables.

[tex]y=f(x)=20x,[/tex] ∀[tex]x[/tex] ∈ [tex]Z[/tex][tex]\geq_0[/tex]

[tex]y:[/tex] [tex]number[/tex] [tex]of[/tex] [tex]suburis[/tex]

[tex]x:[/tex] [tex]time[/tex]

7. If you were able to maintain this rate of your activity for 12 minutes, how much of the activity would you be able to complete?

For [tex]x=12[/tex]: [tex]y=f(12)=20*12=240[/tex]

240 suburis

8. How long would it take you to reach 100 for the number of times you did your activity?

5 minutes.

9. Which representation do you believe is the best way to share this information with someone else? This is your opinion. No answer is right or wrong.

The function is the best because it describes all the variables easily.

Answer:

4

Step-by-step explanation:

1/3 = x/12

12 * 1/3 =x      x = 4  

Answer:

maria: $2,500
henry:$750

Step-by-step explanation:

all you have to do is multiply them each by 6

Answer:

Maria will have $1500

Henry will have $750

Step-by-step explanation:

Maria - Multiply 250 x 6

Henry- Multiply 125 x 6

Answer:

Step-by-step explanation:

Given graph

Changes

Solving

Shifted up by 2 units

Vertically compressed by factor of 0.4

so he got for £95 and sold it for £133, so  hmmmm the difference is simply £38.

if we take 95 to be the 100%, what is 38 off of it in percentage?

[tex]\begin{array}{ccll} \pounds&\%\\ \cline{1-2} 95 & 100\\ 38& x \end{array} \implies \cfrac{95}{38}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40[/tex]

Answer:

Step-by-step explanation:

Answer:

18 pi inches

Step-by-step explanation:

Circ of circle = pi * d

                      = 18 pi      exactly

Answer:

See below ~

Step-by-step explanation:

First 3 blanks

Final blank

Step-by-step explanation:

[tex]s = 20km \\ t = 30min[/tex]

[tex]v = \frac{s}{t} \\ v = \frac{2}{3} [/tex]

[tex]v = 0.67[/tex]

[tex]v = 0[/tex]

Answer:

6.

Step-by-step explanation:

That is the number of permutations of 2 from 3

= 3P2

= 3!/(3-2(!

= 3*2

= 6.

Answer:

1/6

Step-by-step explanation: Im going to guess the dice has 6 sides, rolling any number on that 1 dice would be a 1/6 chance. I hope this helps!

Answer:

16.260 (3 d.p.)

Step-by-step explanation:

Answer:

72 cm³

Step-by-step explanation:

Answer:

adult tickets =14

child tickets =71

Step-by-step explanation:

x is adult tickets

y is child tickets

x+y=85

10x+5y=495

y=85-x

2x+y=99

2x+（85-x）=99

x=99-85=14

y=85-x=85-14=71

Answer:

PO

Step-by-step explanation:

Answer:

[tex]4)\ = \frac{5}{\pi}[/tex]

Step-by-step explanation:

Formula:________________

circumference = Diameter × π

_______________________

Then

5 = Diameter × π

Then

[tex]Diameter \ = \frac{5}{\pi}[/tex]

The probability of exactly 1 of the 4 marbles drawn being blue and at least 1 of the 4 marbles drawn being white will be 0.3535 and 0.7454 respectively.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Betty picks 4 random marbles from a bowl containing 3 white, 4 yellow, and 5 blue marbles.

The total number of the marbles will be

Total marble = 3 + 4 + 5

Total marble = 12

Then the probability of exactly 1 of the 4 marbles drawn being blue will be

[tex]\rm P(B) = \dfrac{^5C_1 \times ^7C_3}{^{12}C_4}\\\\P(B) = \dfrac{35}{99} = 0.353535[/tex]

Then the probability of at least 1 of the 4 marbles drawn being white will be

[tex]\rm P(W) = \dfrac{^{3}C_1\times \ ^{9}C_3}{^{12}C_4} + \dfrac{^{3}C_2\times \ ^{9}C_2}{^{12}C_4} + \dfrac{^{3}C_3\times \ ^{9}C_1}{^{12}C_4} \\\\\\P(W) = \dfrac{252}{495} + \dfrac{108}{495} + \dfrac{9}{495}\\\\\\P(W) = \dfrac{369}{495}\\\\\\P(W) = 0.745454[/tex]

More about the probability link is given below.

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Answer:

A. 0.3535.

B. 0.7455.

Step-by-step explanation:

The probability that exactly 1 of the 4 marbles drawn is blue is 0.3535. The probability that at least 1 of the 4 marbles drawn is white is 0.7455.

Answer:

There would be 5.5 or 5 1/2 classes

Step-by-step explanation:

Turn fractions into decimals

Multiply each by 60

Then Divide

Answer:

42°

Step-by-step explanation:

Angles on one side of a straight line always add up to 180.

Therefore: 180° - 123° = 57°

So, 57° + 81° =138°

x=180° -138° = 42°

Answer:

Less than

Step-by-step explanation:

1/3 * 7/15 is less than 1/3 because 1/3 * 7/15 is being multiplied by a number that is less than 1.

The arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

To calculate the arrival time in london of a train that leaves Leicester to london at 11:50 A.M, use use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the arrival time in london of a train that leaves Leicester to london at 11:50 A.M is 13:05 pm.

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Answer: 4

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

<FGA is a vertical angle to <EGB, so both = to 77. Then since < CGB=90, we do 90-77=13

Answer:

$ 1.65 per gallon

Step-by-step explanation:

4 quarts in 1 gallon so 8 quarts in 2 gallons.

Cost for 2 gallons $13.20 so $13.20 ÷ 8 =  $1.65