Distributive property
distributive property - 1

Answers

Answer 1
Answer: 1/4(3n+3/2)=(1/4)(3n+3/2)=(1/4)(3n)+(1/4)(3/2)=3/4‌n+3/8
Answer 2
Answer: The distributive property is one of the most frequently used properties in math. In general, this term refers to the distributive property of multiplication which states that the. Definition: The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

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Write the product of a whole number and a unit fraction 2×4/5

Answers

2×4=8 so what you do is ÷ 8 to 5 I think?

What is the length of AB.

Answers

To find the length of AB in triangle ABC with \(BAC = BCA = 50^\circ\), apply the Law of Sines. Solving for x, we find x = 3. Substituting this into AB = 4x, the length of AB is 12 units, corresponding to answer (d).

To find the length of AB, we can use the Law of Sines in triangle ABC:

\[ (AB)/(\sin BAC) = (BC)/(\sin BCA) \]

Substitute the given values:

\[ (4x)/(\sin 50^\circ) = (2x + 6)/(\sin 50^\circ) \]

Cancel out \(\sin 50^\circ\) from both sides:

4x = 2x + 6

Subtract 2x from both sides:

2x = 6

Divide by 2:

x = 3

Now, substitute x = 3 back into AB = 4x:

\[ AB = 4 * 3 = 12 \]

So, the correct answer is (d) 12.

Applying the Law of Sines to triangle ABC with angles \(BAC = BCA = 50^\circ\), we find x = 3. Substituting into AB = 4x, the length of AB is 12 units. The Law of Sines relates the lengths of sides in a triangle with the sine of their opposite angles, enabling the determination of AB as 12 units (option d).

For more questions on triangle :

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think of it like this
4x=2x+6
subtract two from 4
2x=6
x=3

a bank offers a home improvement loan with simple interest at an annual rate of 12% j.t. borrows $14000 over a period of 3 years.how much will he pay altogather

Answers

Interest = PRT/100
I= 14000*0.12*3
I=5040

Add Interest to the Principal
14000 + 5040
= $19,040 
A is the answer.

Take 4a - 3b + 2c from 2a - 3b + 4c.

-2a + 2c
-2a - 2c
2a + 2c
2a - 2c

Answers

Answer:

Option 1 -2a+2c

Step-by-step explanation:

To find :  Take 4a - 3b + 2c from 2a - 3b + 4c.

Solution :

The equation 4a - 3b + 2c ....(1)

2a - 3b + 4c ....(2)

Taking (1) from (2) means subtracting equitation (2) from (1),

i.e =(2a - 3b + 4c)-(4a - 3b + 2c)

=2a - 3b + 4c-4a+3b-2c

=-2a+2c

So, Taking  4a - 3b + 2c from 2a - 3b + 4c is -2a+2c

Therefore, Option 1 is correct.

2a-3b+4c-(4a-3b+2c)
=2a-3b+4c-4a+3b-2c
=-2a+2c

8 people are equally sharing 12 muffins how many muffins will each person receive

Answers

Total number of muffins = 12 muffins
Total number of people sharing muffin = 8

Muffins each person will receive = Total number of muffins
                                                          ---------------------------------
                                                          People sharing muffins
                                                   
                                                    = 12/8
                                                    = 1 1/2  OR  1.5 muffins

600 hundred people attended the premiere of a motion picture. Adult tickets cost %5, and children were admitted for $2. If box office receipts totaled $2400, how many children attended the premiere?

Answers

Answer:

200

Step-by-step explanation:

Let the number of children be c

and the number of adults be a

Since 600 people in total attended, we can write the 1st equation as:

c + a = 600

Each adult tickets cost $5 and children ticket costs $2 and total sum of tickets is 2400, thus we can write 2nd equation as:

5a + 2c = 2400

Solving the first equation for adults, we have:

c + a = 600

a = 600 - c

We can put this into 2nd equation and solve for children (c). Shown below:

5a + 2c = 2400\n5(600-c) + 2c = 2400\n3000-5c+2c=2400\n-3c=2400-3000\n-3c=-600\nc=(-600)/(-3)\nc=200

Thus, we can say 200 children attended the premiere