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3 years ago

Apply the distributive property to create an equivalent expression 1/2 (10x + 20y + 10z)=

Mathematics

2 answers:

adoni [48]3 years ago

7 0

Answer:

5x + 10y + 5z

Step-by-step explanation:

( 1/2 x 10x ) + ( 1/2 x 20y ) + ( 1/2 x 10z )

Alja [10]3 years ago

5 0

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<h3><u><em /></u></h3><h2>The Answer is: 5x+10y+5z</h2><h3></h3>

<em><u>Thank you for asking this question!</u></em>

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for two positive integers a and b, we know g c d (a comma b )equals 15 comma space l c m (a comma b )equals 90, what is a b?

Scilla [17]

Two positive integers have gcd (a, b) = 15 and lcm (a, b) = 90. Those two numbers are 15 and 90 or 30 and 45.

Suppose we have 2 positive integers, a and b, then:

gcd (a, b) = the greatest common divisor = common prime factors of a and b

lcm (a, b) = the least common multiple = multiplication of the greatest common prime factors of a and b

In the given problem:

gcd (a, b) = 15

prime factorization of 15:

15 = 3 x 5

Hence,

a = 3 x 5 x ....

b = 3 x 5 x ....

lcm (a, b) = 90

prime factorization of 90:

90 = 3 x 5 x 2 x 3

Therefore the possible pairs of a and b are:

Combination 1:

a = 3 x 5 = 15

b = 3 x 5 x 2 x 3 = 90

Combination 2:

a = 3 x 5 x 2 = 30

b = 3 x 5 x 3 = 35

We can conclude the two integers are 15 and 90 or 30 and 45.

Learn more about gcd here:

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6 0

2 years ago

How do i find the equation of the line?

Cerrena [4.2K]

Answer:

10x + 7y = 2

Step-by-step explanation:

Slope = (6 + 4)/(-4 - 3) = -10/7

Equation:

y + 4 = -10/7(x - 3)

7(y + 4) = - 10(x - 3)

7y + 28 = -10x + 30

10x + 7y = 30 - 28

10x + 7y = 2

6 0

4 years ago

Read 2 more answers

A certain large manufacturing facility produces 20,000 parts each week. The manager of the facility estimates that about 1% of t

Slav-nsk [51]

Answer:

198 is the variance for the number of defective parts made each week.

Step-by-step explanation:

We are given the following in the question:

Number of parts produced each week = 20,000

Percentage of defective parts = 1%

We have to calculate the variance for the number of defective parts made each week.

We treat defective part as a success.

P(Defective part) = 1% = 0.01

$p = 0.01$

Then the number defective parts follows a binomial distribution .

Formula for variance =

$\sigma^2 = np(1-p) = 20000(0.01)(1-0.01) = 198$

Thus, 198 is the variance for the number of defective parts made each week.

8 0

4 years ago

How much would be earned on a $425 deposit earning 3% simple interest for 2 years?

andrew11 [14]

Answer:

25.88

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Entercept word problems

gavmur [86]

Slope intercept form will help you find the function of the line :) [ y = mx + b ]

at time = 0 (y-intercept) the pool is 72in deep

the pool loses 2 inches of water every 1 hour. or -2/1

so your equation is y = -2x + 72

Good Luck!

5 0

2 years ago