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3 years ago

Which property best justifiies why the two expressions below are equivalent? 3(m+5)=3m+15

1 answer:

4 0

The answer is the distributive property because it states that if you have a number multiplied by a quantity, you can just multiply that number by each of the terms in the quantity. For example, a(x+y)=ax+ay.

Hope this helps!

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A fair coin is tossed 3 times in a row. What is the probability that heads appears on only the last toss? A. `1/8` B. `3/8` C. `

expeople1 [14]

Answer:

P(heads appears on only the last toss) = $\frac{1}{8}$

Step-by-step explanation:

A fair coin is tossed 3 times in a row.

When a coin is tossed we get a tail or head T or H

The possible outcomes of 3 coins are

T T T , H H H , T H H, H T H, H H T, H T T , T H T, T T H

So total of 8 possible outcomes

heads appears on only the last toss , first and second toss should be tail

So its T T H. Only one possibility

Probability(any event) = number of outcomes / total outcomes

P(heads appears on only the last toss) = $\frac{1}{8}$

6 0

3 years ago

Solve. 3x + 2y = 7 and 4x – 3y = -2

lapo4ka [179]

just look up math papa algebra calculator it gives you the answer and explains it step by step :)

4 0

3 years ago

Read 2 more answers

A 2-digit number with x units and 7 less units than tens.

Hatshy [7]

Each two digit number has two numbers (duh!). Let's allow the tens digit to be x and the units digit to be y. Tens digit is 3 less than the units digit: x = y-3 Original number is 6 more than 4 times the sum of the digits: 10x+y-6 = 4x + 4y This gives us simultaneous equations!First let's clear the mess: 1. x= y-32. 6x-3y=6 Substitute 1 into 2: 6(y-3) -3y =66y - 18 - 3y = 6
3y = 24y = 8 Our units digit is 8 Substitute y= 8 into 1. x = y - 3x = 5 Our tens digit is 5 Therefore, our number is 58

7 0

3 years ago

Apply the distributive property to factor out the greatest common factor. 56 + 32 =

valentina_108 [34]

Answer:

8 * (7 + 4)

See process below

Step-by-step explanation:

We start by writing each number in PRIME factor form:

56 = 2 * 2 * 2 * 7

32 = 2 * 2 * 2 * 2 * 2

Notice that the factors that are common to BOTH numbers are 2 * 2 * 2 (the product of three factors of 2).Therefore we see that the greatest common factor for the given numbers is : 2 * 2 * 2 = 8

Using this, we can write the two numbers as the product of this common factor (8) times the factors that are left on each:

56 = 8 * 7

32 = 8 * 2 * 2 = 8 * 4

We can then use distributive property to "extract" that common factor (8) from the given addition as shown below:

56 + 32

8 * 7 + 8 * 4

8 * (7 + 4)

8 * (11)

4 0

3 years ago

A couple purchased a home and signed a mortgage contract for $400,000 to be paid with half-yearly payments over a 25-year period

faust18 [17]

Answer:

Sowwwi I really need the points :(

6 0

3 years ago