There are 4 figures shown. The first figure has a 1 dot, the second has 3 dots, and the third figure has 6 dots, and finally, the fourth one has 10 dots.


If the following pattern continues, how many more dots are there in Figure 100 than in Figure 98?


(Offering 30points for this question for Math Olympiad! Thank you! <3)

Question: A peregrine falcon can dive at the speed of 320km/h. How many kilometres can the bird traveling in a minute?

Answer: 5 1/3 kilometres per minute

320 ÷ 60 would convert the hours to minutes and so you get 5 1/3 kilometres per minute (kpm).

Answer:

To find the probability of rolling a different number on each dice, we can determine the total number of possible outcomes and the favorable outcomes.

The total number of possible outcomes when rolling a 4-sided die and a 6-sided die is the product of the number of sides on each die: 4 × 6 = 24.

The favorable outcomes occur when we roll a different number on each die. We can calculate this by considering all the possible combinations.

For the first die (4-sided), there are 4 possible outcomes.

For the second die (6-sided), there are 6 possible outcomes.

Since we want different numbers on each die, the total number of favorable outcomes is 4 × 6 = 24.

Therefore, the probability of rolling a different number on each die is:

Probability = (Number of favorable outcomes) / (Number of total outcomes)

Probability = 24 / 24

Probability = 1

Hence, the probability is 1 or 100%.

Answer:

  horizontal

Step-by-step explanation:

You want to know if the equation -4y = 72 describes a horizontal or vertical line.

The equation reduces to ...

  -4y = 72

  y = -18 . . . . . . . . divide both sides by -4

The points on a graph that have y-coordinate -18 will form a horizontal line. They are all 18 units below the x-axis. The line is parallel to the x-axis.

__

Additional comment

The equation x = constant describes a vertical line.

If you are in doubt, you can always graph the equation with your graphing calculator.

Answer: Y

Step-by-step explanation:

Remember: 1 yard = 3 feet. Consider this for all the choices!!

W starts at (0, 1) making it automatically incorrect as 0 yards cannot equal a foot, it equals zero feet.

X has a point marked (1, 0) making it automatically incorrect as 1 yard does not equal to 0 feet.

Z starts with the point (0, 3) making it automatically incorrect as 0 yards cannot equal 3 feet,

Y does not have any incorrect points, and properly illustrates that 1 yard is equal to 3 feet with the points provided, Y is correct

Answer:4

Step-by-step explanation:

Answer:

The value of x is 21

Step-by-step explanation:

2x+21 is a linear equation with one unknown, x. To solve for x, we can use the following steps:

1. Subtract 21 from both sides of the equation. This will isolate x on the left-hand side of the equation.

```

2x+21 - 21 = x

```

2. Divide both sides of the equation by 2. This will divide both sides of the equation by 2, which will cancel out the 2 on the left-hand side of the equation, leaving x by itself.

```

x = (2x+21)/2

```

3. Simplify the right-hand side of the equation.

```

x = x/2 + 21/2

```

4. Combine like terms on the right-hand side of the equation.

```

x = (1/2)x + 21/2

```

5. Subtract (1/2)x from both sides of the equation. This will isolate x on the left-hand side of the equation.

```

x - (1/2)x = (1/2)x + 21/2 - (1/2)x

```

6. Simplify the right-hand side of the equation.

```

(1/2)x = 21/2

```

7. Multiply both sides of the equation by 2. This will multiply both sides of the equation by 2, which will cancel out the (1/2) on the left-hand side of the equation, leaving x by itself.

```

2*(1/2)x = 21/2 * 2

```

8. Simplify the right-hand side of the equation.

```

x = 21

```

Therefore, the value of x is 21.

Answer:

4x+4y=total cost

Step-by-step explanation:

We are given that there was a total of 4 bags of pretzels and 4 drinks bought.  We are also given to write an expression using x dollars for the pretzels and y dollars for the drinks.

To do this, we need to multiply the cost of each pretzel bag, x, by the total amount of bags of pretzels purchased.

4·x

=4x

Next, we need to multiply the cost of each drink, y, by the total number of drinks purchased:

4·y

=4y

The question is asking us to write an expression, so put 2 and 2 together:

4x+4y=total cost

Given the actual question, "Suppose instead..." the expression would be the same.

Hope this helps! :)

The requreid, The absolute value equation to represent this situation is 0 = |x - 50| + 8 and  Elena finds a watch that costs $50. The other two watches are priced at $42 and $58.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Part A:

Let x be the price of the first watch she finds. Then the price of the second watch is x - 16 (since it is $8 below her budget).

The absolute value equation to represent this situation is:

0 = |x - 50| + 8

Part B:

To solve the absolute value equation, we need to consider two cases:

Case 1: x - 50 is positive

If x - 50 is positive, then we can write the equation as:

0 = x - 50

x = 50

This means that the watch Elena finds costs $50, which is exactly her budget.

Case 2: x - 50 is negative

If x - 50 is negative, then we can write the equation as:

0 = -(x - 50)

0 = -x + 50

x = 50

Again, this means that the watch Elena finds costs $50.

So, Elena finds a watch that costs $50. The other two watches are priced at $42 and $58.

Learn more about function here:

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Answer:

s = 7

Concept Used:

Linear pair axiom

Step-by-step explanation:

(6s-8) + 90 + 8s = 180 (Linear pair axiom)

14s = 98

s = 7

Answer:

7

Step-by-step explanation:

The 3 angles are on a straight line, meaning the angle is 180°.

We know that one angle is 6s-8°, another is 8s°, and the middle angle is 90° because of the small box.

We can set up an equation to find s:

6s-8+8s+90=180

simplify

14s+82=180

subtract 82 from both sides

14s=98

divide both sides by 14

s=7

Hope this helps :)

The total area of the figure is 52 square feet by adding the areas of the parallelogram and trapezoid

from the question, we have the following parameters that can be used in our computation:

parallelogram and trapezoid

Wher we have

Area of parallelogram = 7 * (6 - 2)

Area of parallelogram = 28

Also, we have

Area of trapezoid = 1/2 * (7 + 5) * 4

Area of trapezoid = 24

So, we have

total area = 28 + 24

total area = 52

Hence, the total area is 52 square feet

Read more about area at

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y should increase by five every time

5x is just a multiple 5 but without knowing how many tines your multiplying. Now we know that x increases by 1 each time, so it should just be normal multiplying. 5(1) = 5, 5(2) = 10, 5(3) = 15 and so on. It's a constant increase of 5.

Answer:581.39

Step-by-step explanation:

Answer:

The length is 192ft

Step-by-step explanation:

To find the length you have to find the scale used to draw the image which would be the width given divided by the width in yards then multiply the given length by the scale to get the length in yards.

Hope this helps :)

Answer:

480

Step-by-step explanation:

Answer:12/13

1/2

5/8

1/4

1/8

Step-by-step explanation:1)there are 4 kings in a deck so the probability of not getting them is 1-(the probability of getting them)=1-(4/52)=12/13

2)there are heads and tails so the P of getting ont of them is half=1/2

4)there are 4 suits in a deck so 52/4=13; therefore, there are 13 hearts in the deck so 13/52=1/4

5)and means multiplication, so flipping heads*drawing a heart= question 2* question 4 =1/2 * 1/4=1/8

3) its a little complicated so you can consider it as the last option possible and choose, anyways "or" means addition so add the two probabilities to get 5/8

Answer: 45

Step-by-step explanation:

Pythagorean Theorem is a^2+b^2=c^2
In this case it would be 9^2-6^2 which is 45

Answer:

In this case, it would be 9x9 and 6x6

Step-by-step explanation:

The ² in the problem means to multiply the number by itself, like 9x9. It's called the square.

a² + b² = c²

eg.

(a x a) + (b x b) must be = (c x c)

c = hypotenuse which means it is the longest part, which is why it is a² + b² = c²

The person's answer before me is also right

Hope this helps! :)

Answer:

Sales tax is $2.70.

Hope this helps

Answer: I think it would be $2825

Step-by-step explanation:

Add all of the Junior College fees and then add all of the 4-year college fees and then subtract them to find your answer.

Answer:

θ =  23.9°

Step-by-step explanation:

tan θ = 23/52

θ = arc tan (23/52)

=23.86°

= 23.9° to one decimal place

Area of rectangle

Area of triangle

Total area

Option B

Answer:

1. B     2. D      3. C

Step-by-step explanation:

Divide 58 and 2.

The answer will be 29.

Answer:

i think b or c because that is kinda hard

Answer: The coordinates of the beginning of the magazine rack are (0,-20), and the coordinates of the end of the magazine rack are (0,-45).

Explanation:

The magazine rack begins 20 feet south of the checkout desk, so its starting point is 20 feet below the x-axis. This gives us the coordinates (0,-20) for the beginning of the rack. Since the rack is 25 feet long, it extends 25 feet to the south of its starting point. Therefore, the endpoint of the rack is 20 feet (the starting point) minus 25 feet (the length of the rack), or -5 feet south of the checkout desk. This gives us the coordinates (0,-45) for the end of the rack.

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