# reasoning: if you know that 9 x 20 = 180, how can you use this to find 9 x 24? explain your strategy.

Answer: 9 * 20 = 180

24 has 4 more than that, so multiply 9 to 4 and add it to 180.

9 * 4 = 36

180 + 36 = 216

So 9 * 24 = 216
Answer: 9 × 24 = 9 × ( 20 + 4 ) = 9 × 20 + 9 × 4 = 180 + 36 = 216 ;

## Related Questions

The Pythagorean theorem is true for some right triangles, but not all. A. True
B. False

The given statement is  a FALSE statement.

Step-by-step explanation:

Pythagorean Theorem--

It states that if a and b are two legs of a right angled triangle and c is the hypotenuse of the right angled triangle then,

The square of hypotenuse is equal to the sum of the square of the two legs of the triangle.

i.e.

This theorem is true for all the right triangle.

Option: B is the correct answer.

B. False

B. False.

The Pythagorean theorem is true for all right triangles.

You are given the numbers √1,815 and √3,025. Are the numbers rational? A. Only √ 1,815 is rational
B. Only √ 3,025 is rational
C. Both numbers are rational
D. Both numbers are irrational

The correct option is B) Only √ 3,025 is rational.

Step-by-step explanation:

Consider the provided numbers.

√1,815 and √3,025

The value of √1,815 = 48.60281680.....

The value of √3,025 = 55

Now consider the definition of rational and irrational number.

Rational number: A number is said to be rational, if it is in the form of p/q. Where p and q are integer and denominator is not equal to 0.

Irrational number: A number is irrational if it cannot be expressed be expressed by dividing two integers. The decimal expansion of Irrational numbers are neither terminate nor periodic.

The number √1,815 is an irrational number as the decimal expansion of numbers is neither terminate nor periodic.

The number √3,025 is a rational number as it is in the form of p/q.

Hence, the correct option is B) Only √ 3,025 is rational.

A rational number is an integer that either doesn't have a decimal or has a decimal that either repeats or terminates (ends). Basically, if these square roots come out to be an integer, they're rational.
The first one comes out to be 42.6028168083, so obviously not rational.
The second one comes out to be 55, so it is rational.

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3x + 2y + 2x
X=20
Y=-3

94

Step-by-step explanation:

X = 20

Y = -3

for the equation,

3x + 2y + 2x

3 (20) + 2(-3) + 2(20)

60 - 6 + 40

54 + 40

= 94

Alice and bob play a simple dice game. they take turns rolling a single die, starting with alice, until one of them wins by getting a 6. in the end it turns out that bob won. what is the probability that he won on his first roll

Bob has 16.67% of winning the game at his first roll.

Step-by-step explanation:

According to the problem, they are playing with a simple dice, which means it has 6 possible outcomes 1, 2, 3, 4, 5 and 6.

The one that gets 6 wins.

To find the probability of winning the first Bob's roll, we just need to find the simple probability of getting 6, which is

Therefore, Bob has 16.67% of winning the game at his first roll.

The probability he won on his first roll is 1/6.