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Tema [17]
3 years ago
12

Todd is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even} and let B = {the sum of t

he number cubes is divisible by 2}. List the outcomes in A ∩ B.
{3, 6, 9, 12}
{2, 4, 6, 8, 10, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{0,2,4,6,8,12}

Mathematics
1 answer:
Semmy [17]3 years ago
5 0
2 number cubes. 
<span>Let A = {the sum of the number cubes is even}

Let B ={the sum of the number cubes is divisible by 2}

Let A = {2,4,6,8,10,12}
Let B = {2,4,6,8,10,12}

</span><span>A ∩ B refers to intersection of events where A intersect B. Intersection refers to the sums that are common between that two events. These sums are both even and divisible by 2.
</span>
The outcomes in A ∩ B are <span>{2, 4, 6, 8, 10, 12}.

</span>All even numbers are divisible by 2. 

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Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
Vaselesa [24]

The value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have linear equation in one variable:

4(x + 5) = 9x + 4x − 34

4x + 20 = 9x + 4x − 34   (Distributive Property)

4x + 20 -4x + 34= 9x + 4x − 34 -4x +34    

(Subtraction Property of Equality and Addition Property of Equality)

54 = 9x

x = 6   (Division Property of Equality)

Thus, the value of x in the linear equation 4(x + 5) = 9x + 4x − 34 is 6 after applying the property.

Learn more about the linear equation here:

brainly.com/question/11897796

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3 0
2 years ago
I WILL MARK BRAINEST!!! Someone please help me please!!! I rly need help with question 4, my friend and I both don’t understand
Brums [2.3K]

Answer:

The original number is (i)

The whole amount is (ii)

Step-by-step explanation:

So when finding a number in a percent you wanna see how much that percent will go into that number. So like if I said how many times does 60% go into 200 you would have to see how many times the number 200 would go into 60%. does this make sense? If so this is how you can find your answer.

Sorry if I'm wrong I hope you get this right!! Stay beautiful ❤️

5 0
3 years ago
What is the area of this regular hexagon that has been divided into six congruent triangles?
Softa [21]
The answer would be 336cm^2
8 0
3 years ago
Read 2 more answers
1.Anthony has decided to purchase a $19,000 car. He plans to put 20% down toward the purchase and to finance the rest at a 6.8%
Nikitich [7]
<h2>First step/Equation</h2>

Answer:

 $362.57

Step-by-step explanation:

A suitable calculator or finance app can find the monthly payment for you. This result comes from a TI-84 calculator.

___

The second attachment shows the parameters of the payment function. With 20% down, Anthony is only financing 80% of the price of his car. Of course, there are 12 months in a year, so 4 years worth of payments will be 48 payments. The calculator uses negative values for amounts you pay.

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No doubt your reference material shows you a formula for computing loan payments. One such is ...

 A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate, 0.068/12, and n is the number of payments, 48. The principal amount of the loan, P, will be 19,000×0.80. This formula gives the same result as that shown above and below

3 0
3 years ago
You have $200 in savings account. Each week for 8 weeks, you take out $18 for spending money. How much money is in your account
Elina [12.6K]

Answer:

$56

Step-by-step explanation:

Multiply to find how much he took out.

18 * 8 = 144

Subtract to find how much he has left.

200 - 144 = 56

Best of Luck!

3 0
3 years ago
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