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2 years ago

15+21 the distributive property to factor out the greatest common factor.

Mathematics

1 answer:

vladimir2022 [97]2 years ago

8 0

They are both divisible by 3 so we divide both by 3 and get
3(5+7)

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Suppose that P(n) is a propositional function. Determine for which improper subset of the domain of n the statement P(n) must be

Alinara [238K]

Answer:

a) P(n) is true for all 'n' in the set ; { 0,2,4,6,8 ….. }

b) P(n) is true for all 'n' in the set ; { 0,1,2,3,4,5 ............ }

Step-by-step explanation:

a) As P(0) is true

we will assume that

P(2) is true
P(4) is true
P(6) is true

this simply means that ; P(n) is true for all 'n' in the set

{ 0,2,4,6,8 ….. }

b) since P(0) and P(1) are true

we will assume that

P( 0+2 ) = P(2) is true

also P(1) and P(2) are true

we will assume that

P(1+2) = P(3) is true

Also from the previous answers it can be seen that P(2) + P(3) is true

we will assume

P(2+2) = P(4) is true

This simply means that P(n) is true for all 'n' in the set

{ 0,1,2,3,4,5 ............ }

8 0

2 years ago

An item was sold at a loss of 20%. Had it been sold for Rs 3000more then the profit would have been 10%. What is the cost price

vagabundo [1.1K]

Answer:

Cost Price = Rs 10000

Step-by-step explanation:

Assume:

Cost of the item = x

Item was sold at a loss of 20%:

Loss = 20% of x = 0.2x

Item sold = x - 0.2x = 0.8x

Item sold at a profit of 10%:

Profit = 10% of x = 0.1x

item sold = x + 0.1x = 1.1x

Solve:

Difference = 1.1x - 0.8x = 0.3x

0.3x = Rs 3000

x = Rs 3000 ÷ 0.3

x = Rs 10000

3 0

2 years ago

A laundry mat can clean five shirts in 20 minutes. What is the rate of shirts per hour?

Anna11 [10]

Answer:

15 shirts in one hour

Step-by-step explanation:

there are 60 minutes in an hour, 20 times 3 is 60, 5 times 3 is 15

5 0

2 years ago

Kim solved the equation below by graphing a system of equations. log base 2 (3x-1) = log base 4 (x+8)

kompoz [17]

Answer:

solution is

$x=1.353,y=1.613$

Step-by-step explanation:

We are given equation as

$log_2(3x-1)=log_4(x+8)$

Firstly, we will find equations

First equation is

$y=log_2(3x-1)$

Second equation is

$y=log_4(x+8)$

now, we can draw graph

and then we can find intersection point

we can see that

intersection point is (1.353,1.613)

so, solution is

$x=1.353,y=1.613$

8 0

2 years ago

Read 2 more answers

Type the expression that results from the following series of steps:

kvv77 [185]

Answer:

$\frac{x - 3}{6}$

Step-by-step explanation:

First, subtract 3 from x

This will get you the expression x - 3

Now, divide this by 6.

This will get you the expression $\frac{x - 3}{6}$

So, the final expression from the steps is $\frac{x - 3}{6}$

3 0

2 years ago