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o-na [289]
2 years ago
9

Four ninths plus nine eighteenths :]

Mathematics
1 answer:
goldenfox [79]2 years ago
8 0

Answer:  17/18

In words, this is seventeen eighteenths

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

Work Shown:

4/9 + 9/18

8/18 + 9/18 ... see note below

(8+9)/18

17/18

----------------

note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.

The diagram below shows a visual representation of why 4/9 = 8/18.

In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.

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-16x-10&gt;14-10x<br> hi can u please help me with this
kompoz [17]

Answer:

x < -4

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define inequality</u>

-16x - 10 > 14 - 10x

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Add 16x to both sides:                    -10 > 14 + 6x
  2. Subtract 14 on both sides:              -24 > 6x
  3. Divide 6 on both sides:                   -4 > x
  4. Rewrite:                                            x < -4

Here we see that any value <em>x</em> that is less than -4 would work as a solution.

4 0
2 years ago
Read 2 more answers
3x^2+6x-9=0 complete the square
PolarNik [594]
You could simplify this work by factoring "3" out of all four terms, as follows:

3(x^2 + 2x - 3) =3(0) = 0

Hold the 3 for later re-insertion.  Focus on "completing the square" of x^2 + 2x - 3.

1.  Take the coefficient (2) of x and halve it:  2 divided by 2 is 1
2.   Square this result:  1^2 = 1
3.   Add this result (1) to x^2 + 2x, holding the "-3" for later:
                    x^2 +2x 
4    Subtract (1) from x^2 + 2x + 1:     x^2 + 2x + 1               -3 -1  =    0, 
       or      x^2 + 2x + 1 - 4 = 0
5.   Simplify, remembering that x^2 + 2x + 1 is a perfect square:

                        (x+1)^2 - 4 = 0

We have "completed the square."  We can stop here.  or, we could solve for x:  one way would be to factor the left side:

            [(x+1)-2][(x+1)+2]=0     The solutions would then be:

             x+1-2=0=> x-1=0, or x=1, and
             x+1 +2 = 0 => x+3=0, or x=-3.  (you were not asked to do this).


3 0
2 years ago
Todd is training to bike in the Turkey Trot Bike Race and rode his bike 7 ¾ miles per hour for 2 2/3 hours. How many miles did T
trapecia [35]
(7 3/4 mi/h)*(2 2/3 h) = 20 2/3

Todd rode 20.667 miles.
_____
A calculator that works with mixed numbers is a handy thing.
5 0
3 years ago
Convert to a mixed number, reduce when possible (-3.4 x -6.6)
julia-pushkina [17]

The answer would be 22,44

3 0
3 years ago
Read 2 more answers
Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.
sp2606 [1]

Answer:

(A) The odds that the taxpayer will be audited is approximately 0.015.

(B) The odds against these taxpayer being audited is approximately 65.67.

Step-by-step explanation:

The complete question is:

Suppose the probability of an IRS audit is 1.5 percent for U.S. taxpayers who file form 1040 and who earned $100,000 or more.

A. What are the odds that the taxpayer will be audited?

B. What are the odds against such tax payer being audited?

Solution:

The proportion of U.S. taxpayers who were audited is:

P (A) = 0.015

Then the proportion of U.S. taxpayers who were not audited will be:

P (A') = 1 - P (A)

        = 1 - 0.015

        = 0.985

(A)

Compute the  odds that the taxpayer will be audited as follows:

\text{Odds of being Audited}=\frac{P(A)}{P(A')}

                                    =\frac{0.015}{0.985}\\\\=\frac{3}{197}\\\\=0.015228\\\\\approx 0.015

Thus, the odds that the taxpayer will be audited is approximately 0.015.

(B)

Compute the odds against these taxpayer being audited as follows:

\text{Odds against Audited}=\frac{P(A')}{P(A)}

                                    =\frac{0.985}{0.015}\\\\=\frac{3}{197}\\\\=65.666667\\\\\approx 65.67

Thus, the odds against these taxpayer being audited is approximately 65.67.

8 0
3 years ago
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