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3 years ago

Find the sum 41/2+21/2 write the sum as a mixed number so the fractional part is less than 1

Mathematics

1 answer:

Galina-37 [17]3 years ago

4 0

Answer: 31

note: there is no fractional part, so the fractional part is essentially 0. The answer is a whole number

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Explanation:

To get this answer, you first add the fractions. Add only the numerators while keeping the denominator 2 the same. So we have 41+21 = 62 as the new numerator and that is over 2

Therefore, 41/2 + 21/2 = (41+21)/2 = 62/2

From here, we divide 62 in half to get 31. The denominator 2 cancels out and goes away when we divide it by 2

This means we go from 62/2 to 31 which is the final answer. This is not a mixed number as there is no fractional part. Instead, it is a whole number.

I guess if you wanted, you can write 31 as 31 & 0/2, though that seems like unneeded extra work in my opinion.

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Y = 0 and 12 x = 60
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3 years ago

How many ways are there to select 12 countries in the United Nations to serve on a council if 5 are selected from a block of 45,

melomori [17]

Answer:

There are 436937109262510348800 ways to selected 12 countries.

Step-by-step explanation:

Let $x_1, x_2, x_3, x_4,x_5$ the countries selected from the block of 45. For $x_1$ there are 45 options of countries to select. For $x_2$ there are 44 options of countries to select because there can be no repeated countries. With the same reasoning, for $x_3$ there are 43 options, for $x_4$ there are 42 options and for $x_5$ there are 41 options.

Let $x_6, x_7, x_8, x_9$ the countries selected from the block of 57 countries. For $x_6$ there are 57 options of countries to select. For $x_7$ there are 56 options of countries to select because there can be no repeated countries. With the same reasoning, for $x_8$ there are 55 options and for $x_9$ there are 54 options.

Let $x_{10}, x_{11}, x_{12}$ the countries selected from the block of 69 remain countries. For $x_{10}$ there are 69 options of countries to select. For $x_{11}$ there are 68 options of countries to select because there can be no repeated countries and for $x_{12}$ there are 67 options.

For find the total of options o ways to select 12 countries we multiply the above options.

$45*44*43*42*41*57*56*55*54*69*68*67= 436937109262510348800$

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3 years ago

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castortr0y [4]

Answer: So for the 9.5% percent I'm not sure if you mean by 9.5% off the price or more for the price so Ill just do both

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Complete the steps to find the area of the trapezoid.

Yuki888 [10]

Answer:

Area of rectangle: 256

Area of triangle 1: 24

Area of triangle 2: 16

Area of triangle 3: 96

Area of trapezoid: 120

Step-by-step explanation:

I just did the question on the thing so Ik I'm right.

-The graph measures by twos. To get the area of the rectangle get the base times height of it. That would be 16x16=256.

-Get base (8) times height (6) of triangle 1 then divide by 2, remember to count the squares by 2 for finding all areas. The formula would be 1/2(b)(h) because dividing by 2 is the same as multiplying times 1/2. Plug it in and (8)(6)=48 then divide by 2 which equals 24.

-Same formula for triangle 2. Plug it in and (8)(4)=32 and divide by 2 and it equals 16.

-Same formula for triangle 3. Plugged in is (12)(16)=192 divide by 2 and it equals 96.

-To find the area of the trapezoid get your rectangle area (256) and subtract all the triangle areas. So 256 - 6 - 16 - 96 = 120.

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