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3 years ago

Mark rolls two number cubes. What is the probability that the sum of the two numbers will equal 10?

1 answer:

8 0

Every cube has 6 sides and assuming that each face is numbered 1 to 6, the faces that he has to get when he rolls the cubes for the sum to be 10 should be 4 and 6, 5 and 5 or 6 and 4. The probability for each cube is therefore 1/3 and since the combination is Cube1 AND Cube2 you multiply the probabilities (if it were OR, you'd have to add instead)

so the total probability is $\frac{1}{3} * \frac{1}{3} = \frac{1}{9}$

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The formula for the area of a regular polygon is uppercase A = one-half a p. What is the equation solved for a?

GenaCL600 [577]

Answer:

D (A=24/d)

Step-by-step explanation:

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3 years ago

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Question 4 of 10

MariettaO [177]

Answer:

-x² + 12x + 3

Step-by-step explanation:

Step 1: Write expression

5x² + 9x + 3 - (6x² - 3x)

Step 2: Distribute

5x² + 9x + 3 - 6x² + 3x

Step 3: Combine like terms

-x² + 12x + 3

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4 years ago

In a 3-digit number, the hundreds digit is one more than the ones digit and the tens digit is twice the hundreds digit. If the s

MaRussiya [10]

Answer:

The mentioned number in the exercise is:

362

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

x = hundredths digit
y = tens digit
z = ones digit

We can write:

x = z + 1 (the hundreds digit is one more than the ones digit).
y = 2x (the tens digit is twice the hundreds digit).
x + y + z = 11 (the sum of the digits is 11).

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

x + y + z = 11
(z + 1) + y + z = 11 (remember x = z + 1)
z + 1 + y + z = 11
z + z +y + 1 = 11 (we just ordered the equation)
2z + y + 1 = 11 (z + z = 2z)
2z + y = 11 - 1 (we passed the +1 to the other side of the equality to subtract)
2z + y = 10
2z + (2x) = 10 (remember y = 2x)
2z + 2x = 10
2z + 2(z + 1) = 10 (x = z + 1 again)
2z + 2z + 2 = 10
4z + 2 = 10
4z = 10 - 2
4z = 8
z = 8/4
z = 2

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

x = z + 1
x = 2 + 1
x = 3

And we'll use the second equation to obtain the value of y (the tens digit):

y = 2x
y = 2(3)
y = 6

Organizing the digits, we obtain the number:

Number = xyz
Number = 362

As you can see, the obtained number is 362.

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3 years ago

What are the factors of x^2+4x+3x?

natulia [17]

Answer:

x(x+7)

Step-by-step explanation:

x^2+4x+3x

Combine like terms

x^2+7x

Factor out an x

x(x+7)

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4 years ago

Read 2 more answers

Please help me, I do not understand.

Leno4ka [110]

9514 1404 393

Answer:

p : q = 3 : 2

Step-by-step explanation:

You are given sufficient information to write two relations involving p and q. We presume these will be sufficient to find an answer to the question. We will be able to find p and q. Then we can find their ratio, as the problem asks.

(p-15)/(q-15) = 2/1

(p+30)/(q+30) = 5/4

From the first equation, we get ...

p -15 = 2(q -15)

p = 2q -15 . . . . . . . add 15, simplify

From the second equation, we get ...

4(p +30) = 5(q +30)

4p + 120 = 5q + 150

4p = 5q + 30

Using the first equation to substitute for p, we have ...

4(2q -15) = 5q +30

8q -60 = 5q +30 . . . eliminate parentheses

3q = 90 . . . . . . . . . . . add 60-5q to both sides

q = 30 . . . . . . . . . . . . divide by 3

p = 2q -15 = 2(30) -15 = 45

Then the desired ratio is ...

p : q = 45 : 30

p : q = 3 : 2

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3 years ago