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2 years ago

27 8/9 divided by 6 5/8

Mathematics

1 answer:

Setler79 [48]2 years ago

7 0

Answer:4 100/477

Step-by-step explanation:You need to divide it.And first you change the mixed numbers 27 8/9 and 6 5/8 to improper fraction .27 8/9 as a improper fraction is 251/ 9 . 6 5/8 as a improper fraction is 53/ 8 .ANd now you divide 251/ 9 by 53/ 8.In order to divide fractions you need to do KCF which stand for Keep ,change,flip .SO you have 251/ 9 divide 53/ 8 ,now you KEEP 251/9 ,Change the division sign to multiplication ,and flip 53/8 to 8/53.And now you multiply 251/9 by 8/53 which gives you 2008/ 477.Lastly you change 2008/ 477 which is a improper fraction to a mixed number which is 4 100/477.

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Show how Carly can work out 171/2% of 240 in her head

KATRIN_1 [288]

17 ½ % of 240

First option

Change the fraction ½ to a decimal. It would be 0.5 ( 1 divided by 2)

½=0.5

You will add the whole number 17 to the result.

17 + 05 = 17.5

Now you will divide by 100 (percent)

17.5 /100 To divide a decimal by 100, move the decimal point two places to the left.

17.5 /100 = 0.175 times 240

0.175 x 240 = 42

Second option

Change the percent to an improper fraction

17 ½= 35/2 (you have to multiply (2 x 17) plus 1 equals 35 over 2 ( keep the denominator). It will be 35/2. Put the other number (240) over 100 and multiply.

35/2 x 240/100 = 42

There is another way . You can simplify

Cancel all the zeros that you have and start to reduce.

7 12

35 x 24<span> 0 </span> = 42

2 10 0

1 5

17 ½ % of 240 = 42

5 0

3 years ago

69 points!!!

Amiraneli [1.4K]

Answer:

C) The solution for the given system of equations are A(0,-5) and B(-4,3)

Step-by-step explanation:

The given system of equation are : $x^{2} + y^{2} = 25\\2x + y = -5$

from equation 2, we get y = -5 - 2x .

Put the above value of y in the equation (1).

We get: $x^{2} + y^{2} = 25 \implies x^{2} + (-5-2x)^{2} = 25$

By ALGEBRAIC IDENTITY:

$(a+b)^{2} = a^{2} + b^{2} + 2ab\\ (-5-2x)^{2} = (-5)^{2} + (-2x)^{2} + 2(-5)(-2x)$

or, $x^{2} + (-5-2x)^{2} = 25 \implies x^{2} + (25 + 4x^{2} + 20x) = 25$

or, $5x^{2} + 20x = 0 \implies x(5x + 20) = 0$

⇒ x = 0 or, x = -20/5 = -4

So, the possible values for x are: x = 0 or x = -4

If x = 0, y = -5-2x = -5-2(0) = -5

and if x = -4, y = -5 -2(-4) = -5 + 8 = 3

Hence, the solution for the given system of equations are A(0,-5) and B(-4,3)

8 0

2 years ago

Peaches are being sold for $2 per pound.The customer created a model to represent the total cost of peaches bought. If x represe

dalvyx [7]

Answer:B)The values of both x and y will be real numbers greater than or equal to 0.

Step-by-step explanation:

7 0

2 years ago

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Suppose you and a friend each choose at random an integer between 1 and 8, inclusive. For example, some possibilities are (3,7),

Bezzdna [24]

Answer and explanation:

Given : Suppose you and a friend each choose at random an integer between 1 and 8, inclusive.

The sample space is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7) (1,8)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (2,7) (2,8)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (3,7) (3,8)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,7) (4,8)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,7) (5,8)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) (6,7) (6,8)

(7,1) (7,2) (7,3) (7,4) (7,5) (7,6) (7,7) (7,8)

(8,1) (8,2) (8,3) (8,4) (8,5) (8,6) (8,7) (8,8)

Total number of outcome = 64

To find : The following probabilities ?

Solution :

The probability is given by,

$\text{Probability}=\frac{\text{Favorable outcome }}{\text{Total outcome}}$

a) p(you pick 5 and your friend picks 8)

The favorable outcome is (5,8)= 1

$\text{Probability}=\frac{1}{64}$

b) p(sum of the two numbers picked is < 4)

The favorable outcome is (1,1), (1,2), (2,1)= 3

$\text{Probability}=\frac{3}{64}$

c) p(both numbers match)

The favorable outcome is (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (8,8) = 8

$\text{Probability}=\frac{8}{64}$

$\text{Probability}=\frac{1}{8}$

7 0

3 years ago

Slope of -1,0 and 10,18

steposvetlana [31]

You should find the slope using (y2 - y1) / (x2 - x1) = m

m = (18 - 0) / (10 - (-1))

m= 18 / 11

Therefore the slope is 18/11

6 0

3 years ago

Read 2 more answers