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katovenus [111]
3 years ago
7

What is 6476 divided by 12

Mathematics
2 answers:
Inessa [10]3 years ago
6 0

The easiest way to solve this, is expressing the division as a fraction, and then use divisibility rules to simplify our fraction.

Remember that saying 6476 divided by 12 is the same as \frac{6476}{12}. Just like that we have our fraction. Now to simplify it, we are going to use divisibility rules

Remember that to simplify a fraction using divisibility rules, both numerator and numerator must by divisible by the same number.

- Divisibility by 2

A number is divisible by 2 if and only if it ends in 0, 2, 4, 6, or 8. In other words, a number is divisible by 2 if its last digit is even or zero.

Notice that 6476 ends in 6, so it's divisible by 2, and 12 ends in 2, so it's also divisible by 2. Since both the numerator and denominator of our fraction are divisible by 2, we can simplify our fraction dividing both numerator and denominator by 2. To divide by 2, we just need to find the half of each number. The half of 6476 is 3238 and the half of 12 is 6, so we can simplify our fraction as follows:

\frac{6476}{12} =\frac{3238}{6}

3238 ends in 8, so it's divisible by 2; 6 ends in 6, so it's divisible by 2. The half of 3238 is 1619 and the half of 6 is 3, so we can simplify our fraction even more:

\frac{3238}{6}=\frac{1619}{3}

Now, 1619 does end in zero or an even number, so it's not divisible by 2; similarly, 3 is not even even, so it's not divisible by 2. Let's check if they are divisible by 3

- Divisibility by 3

A number is divisible by 3 if an only if the sum of its digits is 3 or multiple or 3.

Let's check if the numerator of our fraction, 1619, is divisible by 3:

1+6+1+9=17 Since 17 is not a multiple of 3, 1619 is not divisible by 3.

Now, let's check if our numerator, 3, is divisible by 3:

3 is a multiple of 3, so its divisible by 3.

Since our numerator is divisible by 3 but our denominator is not, we can't further simplify our fraction.

We can conclude that the result of 6476 divided by 12 is \frac{1619}{3}, or expressed as decimal: 539.666666667.

Elina [12.6K]3 years ago
3 0
I think that 6476÷12=539.6
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Solve 18 and 19 please
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

18.

slope of line y=2x-5 is 2

slope of line ⊥ to y=2x-5 is

m=-1/2

eq. of reqd. line through (10,6) with slope -1/2 is

y-6=-1/2(x-10)

multiply by 2

2y-12=-x+10

2y+x=10+12

2y+x=22

2y=-x+22

y=-1/2x+11

19.

slope of line y=12x+5,m=12

eq. of line through (5,2) with slope 12 is

y-2=12(x-5)

y-2=12x-60

y=12x-60+2

y=12x-58

compare with y=mx+b

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5 0
2 years ago
The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube? 3x3 + 18x2y + 36xy2 + 8y3 27x3 + 54x2y + 18
a_sh-v [17]

We are given side length of a cube = (3x+2y).

Volume is given by formula V=s^3, where s is the side of cube.

We have s = (3x+2y).

Plugging s = (3x+2y) in formula now.

We get,

V=(3x+2y)^3

Expanding by applying formula (a+b)^3=(a)^3 + 3a^2b+3b^2a+(b)^3.

(3x+2y)^3 =(3x)^3+3(3x)^2(2y)+3(2y)^2(3x)+(2y)^3

(3x+2y)^3 = 27x^3+54x^2y+36xy^2+8y^3

<h3>Therefore, correct option is 4th option : 27x^3 + 54x^2y + 36xy^2 + 8y^3.</h3>

3 0
3 years ago
Find the x- and y-intercepts of the parabola y=x2+10x+4
Nuetrik [128]

Answer:

x-intercepts: -5 +/-\sqrt{21}. y-intercept: 4

Step-by-step explanation:

For x-intercepts use the quadratic equation

x= (-b +/-\sqrt{b^2-4ac} )/2a

Fill in your values:

x= (-10 +/-\sqrt{100-16} )/2

And solve

x=-5 +/- \sqrt{21}

For y-intercepts set x=0 and solve. In this case, setting x= 0 gives you y=4.

6 0
1 year ago
impeded by the current the outing club took 4 hours and 24 minutes to paddle 11 km up the exeter river to their campsite last we
lilavasa [31]

Answer: if there had been no current, the rate would have been 4 km/hr.

The rate of the current is 1.5km/hr

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h

Distance = speed × time. Therefore

11 = 4.4(x - y)

Dividing through by 4.4, it becomes

2.5 = x - y - - - - - - - - - - -1

The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is

11 = 2(x + y)

Dividing through by 2, it becomes

5.5 = x + y - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

8 = 2x

x = 8/2 = 4

Substituting x = 4 into equation 1, it becomes

2.5 = 4 - y

y = 4 - 2.5

y = 1.5

3 0
3 years ago
8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
Darya [45]

Answer:

P(Green\ or\ Red) = 0.30

Step-by-step explanation:

Given

White = 40

Green = 24

Red = 12

Yellow = 24

Blue = 20

Required

P(Green\ or\ Red)

The total numbe of candy is:

Total = 40 + 24 + 12 + 24 + 20

Total = 120

This probability is calculated as:

P(Green\ or\ Red) = P(Green) + P(Red)

For each, we have:

P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}

Take LCM

P(Green\ or\ Red) = \frac{Green+Red}{Total}

P(Green\ or\ Red) = \frac{24+12}{120}

P(Green\ or\ Red) = \frac{36}{120}

P(Green\ or\ Red) = 0.30

8 0
3 years ago
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