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3 years ago

What is the solution to the linear equation? 6k + 10.5 = 3k + 12

2 answers:

7 0

K = 0.5

The answer cannot be
k = 2 or k = 7.3 or k = 9 because at the very end of the equation you must divide 3 on both sides. 1.5 / 3 is 0.5

IrinaK [193]3 years ago

5 0

Answer:

k=0.5

Step-by-step explanation:

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(08.07A LC)

shtirl [24]

Answer:

Step-by-step explanation:

you would do the total which is 45-20

5 0

3 years ago

The entertainment committee at Maplecrest Junior High School has narrowed down the theme of the Spring

Roman55 [17]

Answer:

Assign a number to each student, and use a computer program to generate 100 random numbers between 1 and 2000. Ask those students whose numbers are selected.

Step-by-step explanation:

3 0

4 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

3 years ago

What is 3^2/3 equal to? A.3√9 B.2√9 C.3√27 D.2√27

lina2011 [118]

$a^{\frac{m}{n}} = \sqrt[n] {a^m}$

$3^{\frac{2}{3}} = \sqrt[3] {3^2} = \sqrt[3] {9}$

8 0

3 years ago

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of

Hoochie [10]

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

8 0

3 years ago