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Misha Larkins [42]
4 years ago
14

Write 3 fractions, using 10 as the denominator, who's sum is 1.

Mathematics
1 answer:
Sonja [21]4 years ago
5 0
<h3><u>Write 3 fractions, using 10 as the denominator, who's sum is 1</u></h3>

\frac{1}{10}, \frac{3}{10}, \frac{6}{10}

<em><u>Solution:</u></em>

Given that,

We have to write 3 fractions, using 10 as the denominator, who's sum is 1

We know that, fraction is written as:

fraction = \frac{numerator}{denominator}

We have to write 3 fractions with 10 as denominator

\frac{1}{10}\\\\\frac{3}{10}\\\\\frac{6}{10}

Add these to check if its sum is 1

sum = \frac{1}{10} + \frac{3}{10} + \frac{6}{10}

When denominators are same, we can add the numerators

sum = \frac{1+3+6}{10}\\\\sum = \frac{10}{10}\\\\sum = 1

Thus the three fractions are:

\frac{1}{10}, \frac{3}{10}, \frac{6}{10}

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Fill in the blank in the sentence below with the correct term.
Vera_Pavlovna [14]

Answer:

Ratio

have a wonderful day :)

6 0
4 years ago
The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.
OverLord2011 [107]

Answer:

For part A, the product of (-5 + x)(x + 4) is equal to x^2 - x - 20. For part B, the product of -5 + x and x + 4 is not equal to the product of 5 + x and x - 4. And for part C the product of (3 + 5)(3^2 + 4 - 3) equals 70.

Step-by-step explanation:

I will tell you how I came up with those answers.

The product of (-5 + x)(x + 4) can be found using the<em> FOIL</em> method(First, Outer, Inner, Last).

Start with multiplying -5 and x. -5 * x = -5x.

Now multiply -5 and 4.  -5 * 4 = -20.

Next, multiply x and x.  x * x = x^2.

Finally, multiply x and 4.  x * 4 = 4x.

And now it is time to simplify and change to standard form.

-5x - 20 + x^2 + 4x.

x^2 - 5x - 20 + 4x.

x^2 - 5x + 4x - 20.

x^2 - x - 20.

The final answer for part A is x^2 - x - 20.

For part B, the product of -5 + x and x + 4 is already known.

But now we need to figure out the product of 5 + x and x - 4.

We can use the FOIL method again to solve for the new product.

Start by multiplying 5 and x.  5 * x = 5x.

Next, multiply 5 and -4.  5 * -4 = -20.

Now multiply x and x.  x * x = x^2.

Finally, multiply x and -4.  x * -4 = -4x.

And now we can simplify and arrange the terms into standard form.

5x - 20 + x^2 - 4x.

x^2 + 5x - 20 - 4x.

x^2 + 5x - 4x - 20.

x^2 + x - 20.

The final answer for part B is that the products of

(-5 + x)(x + 4) and (5 + x)(x - 4) are not equivalent. They look similar except the difference between them is the "x" value.  The x value of the first equation's product is -x while the x value of the second equation's product is x.

For part C, use the FOIL method as used in the last questions to find the answer.

2 * 3^2  =  2 * 9  =  18.

2 * 4  =  8.

2 * -3  =  -6.

5 * 3^2  =  5 * 9  =  45.

5 * 4  =  20.

5 * -3  =  -15.

Now combine the numbers to get the final answer for part C.

Follow PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction).

The only operations are subtraction and addition. The rule is the add before subtracting, but this does not always apply. For this being true, we only need to perform the first operation from the left side.

18 + 8 - 6 + 45 + 20 - 15.

26 - 6 + 45 + 20 - 15.

20 + 45 + 20 - 15.

65 + 20 - 15.

85 - 15.

70.

So the last answer to part C is 70.

Also the area of the rectangle is x^2 + 15x + 36. I forgot that part, my apologies.

3 0
3 years ago
PLZ HELP IM HAVING TROUBLE ON MY RSM!
Zanzabum

Answer:

=

64 / 7x -2

Step-by-step explanation:

You multiply 16 and 4/7 than you take away 2 I think im bad at this-

5 0
3 years ago
Which number produces a rational number when multiplied by 0.25?
laiz [17]
The number is 2/9 hope that helps!
7 0
3 years ago
Read 2 more answers
HELP ASAP WILL GIVE BRAINLIEST!!!
Irina18 [472]
<h3>Answer:  0.19 </h3>

This represents $0.19 per ounce which is the same as 19 cents per ounce.

=============================================================

Explanation:

To find the unit rate, we divide the cost over the number of ounces

(3.79 dollars)/(19.5 ounces) = 0.19435897 dollars per ounce approximately

Round this to the nearest cent, i.e. hundredth, to get 0.19 dollars per ounce. This is the same as saying "19 cents per ounce".

5 0
3 years ago
Read 2 more answers
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