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2 years ago

450 divisible by 2,3,4,5,6,8,9 or 10 explain why ! EXPLAIN WHY !?

Mathematics

1 answer:

Aleks04 [339]2 years ago

6 0

Answer: 450 is divisible by 2, 3, 5, 6, and 9

Step-by-step explanation: 450 is divisible by 2 because the last digit (0) is an even number.

Divisible by three because the sum of all the digits in 450 is a multiple of three: 4+5+0 = 9 which is 3*3.

Divisible by 5 because it ends with a 0 (could also end in 5)

Divisible by 6 because it is divisible by both 2 and 3 (2*3=6)

Divisible by 9 because 45 is divisible by 9.

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Solve the equation 3x-2 4 - 2x - 5- 1 + x 3 6

Nataly_w [17]

Answer:

$\boxed{\sf x=12}$

Step-by-step explanation:

$\sf \cfrac{3x-2}{4}-\cfrac{2x-5}{3}=\cfrac{1+x}{6}$

First, let's find the LCM of 4, 3, and 6.

How to find the LCM:

→ List multiples of each number.

→ Find the smallest number on each list.

4: 4, 8, 12, 16, 20, 24..

3: 3, 6, 9, 12, 15, 18, 21, 24, 27....

6: 6, 12, 18, 24, 30, 36, 42...

LCM: 12

_________

Now, we'll Multiply by LCM:

$\sf \cfrac{3x-2}{4}\times \:12-\cfrac{2x-5}{3}\times \:12=\cfrac{1+x}{6}\times \:12$

Simplify:

$\sf 3\left(3x-2\right)-4\left(2x-5\right)=2\left(x+1\right)$

Now, expand, Apply the Distributive property:

$\bold{ 3\left(3x-2\right)-4\left(2x-5\right)}$

$\sf 9x-6-8x+20$

Combine like terms:

$\sf x+14$

________

$\bold{ 2\left(x+1\right)}$

$\sf 2x+2$

$\sf x+14=2x+2$

Subtract 14 from both sides:

$\sf x+14-14=2x+2-14$

Simplify:

$\sf x=2x-12$

Subtract 2x from both sides:

$\sf x-2x=2x-12-2x$

Simplify:

$\sf -x=-12$

Divide both sides by -1:

$\sf \cfrac{-x}{-1}=\cfrac{-12}{-1}$

$\sf x=12$

7 0

2 years ago

Kiran walked at a constant speed. He walked 1 mile in 15 minutes. Which of these equations represents the distance d (in miles)

galben [10]

Answer: $d=\dfrac{t}{15}$ , where d= distance that Kiran walks in t minutes.

Step-by-step explanation:

Given: Kiran walked at a constant speed.

He walked 1 mile in 15 minutes.

The, distance walked by Kiran in 1 minute = $\dfrac1{15}$ mile

The distance that Kiran walks in t minutes = $t\times\dfrac{1}{15}$ miles

If d= distance that Kiran walks in t minutes

The required equation: $d=\dfrac{t}{15}$

5 0

3 years ago

4 sisters love barrettes. they have a value pack that contains 92 barrettes. how many barrettes can each sister have if they sha

oee [108]

Answer:

Step-by-step explanation:

92÷4=23

There are a total of 92 barrettes and 4 sisters so you divide the total amount of barrettes with the total amount of people present.

6 0

4 years ago

Read 2 more answers

Pls help!!!!!!!!!!!1

Sloan [31]

Answer:lol it's -3

Step-by-step explanation: it's 3 because you had dirt 45.50 in your account and then you have to get books and those books will cost $3 more which means that you don't have that money since it indicates that in the problem which means that it would be -3 because you don't have the money so that's why I think it's negative 3.

6 0

3 years ago

The model represents an equation.

madreJ [45]

Answer:

9/5

Step-by-step explanation:

solve the original equation for x

-4× + 3 = 1x +(-6)

-1x

-5x + 3 = -6

-3

-5x = -9

/-5

x = 9/5

CHECK

-4(9/5) + 3 = 1(9/5) +(-6)

-21/5 = -21/5

8 0

3 years ago