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Sindrei [870]
4 years ago
7

Jim and Ed are debating the answer to the question 2/3m =1/4

Mathematics
1 answer:
olasank [31]4 years ago
3 0

Answer:

The statement by Ed is TRUE.

Step-by-step explanation:

Here, the given expression is:

( \frac{2}{3})  m=( \frac{1}{4} )

Now, simplifying the given expression for the value of m, we get:

(\frac{2}{3})  m=( \frac{1}{4} )\\\implies m = ( \frac{1}{4} ) \times (\frac{3}{2}) = (\frac{3}{8}  )\\\implies m =  (\frac{3}{8}  )  ... (1)

Now, the answer given by Jim is  m = 2\frac{2}{3}   = \frac{8}{3}

And answer stated by Ed  is m  = 3/8

Here, from(1) we can see that  : m =   3/8

and also, m ≠  8/3

Hence, The statement by Ed is TRUE.

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23 degrees is equal to _____.<br> 1<br> 0<br> 23
Marta_Voda [28]

Answer:

it is obviously 23 ..................

4 0
3 years ago
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Write an equation of a line which has a slope of -2 and goes through the point (-4, 11).
Klio2033 [76]

Answer:

y -11 = -2(x+4)

or

y = -2x+3

Step-by-step explanation:

We can use the point slope form of a line

y - y1 = m(x-x1)  where m is the slope and (x1 ,y1) is a point on the line

y - 11 = -2(x- -4)

y -11 = -2(x+4)

We can rewrite it in slope intercept form

y-11 = -2x-8

Add 11 to each side

y = -2x+3

7 0
3 years ago
Read 2 more answers
U.S. craft-beer breweries (breweries that make fewer than 6 million barrels annually and are less than 25% owned by big brewerie
yarga [219]

Answer:

(a) a = 43.25 , b = 41 and c = 1547

(b) The number of craft-beer breweries in 2016 = 4643

Step-by-step explanation:

Given that the number of small craft-beer breweries from 2008 to 2012 is modeled by using a quadratic function of the form f(t) = at² + bt + c where a, b, and c are constants and t is measured in years, with t = 0 corresponding to 2008.

(a) Now we have to find these constants given f(0) = 1547, f(2) = 1802, and f(4) = 2403.

So, <em>f(0) = </em>a*(0)^{2} + b*(0) + c<em> which implies that </em><em>c = 1547</em><em>.</em>

<em>f(2) = </em>a*(2)^{2} + b*(2) + c<em> = 4a + 2b + c</em>

  4a + 2b + c = 1802 ----------- [Equation 1]

<em>f(4) = </em>a*(4)^{2} + b*(4) + c<em> = 16a + 4b + c </em>

   16a + 4b + c = 2403 ----------- [Equation 2]

Further solving Equation 1 we get;   4a + 2b + 1547 = 1802

                  4a + 2b = 1802 - 1547  ;   4a + 2b = 255 ----------- [Equation 3]

Further solving Equation 2 we get;   16a + 4b + 1547 = 2403

                  16a + 4b = 2403 - 1547  ;   16a + 4b = 856 ----------- [Equation 4]

Now, Solving Equation 3 and 4 we get ;

          a = 43.25 and b = 41 .

Therefore, values of constants a, b and c are 43.25, 41 and 1547 respectively.

(b) So, model we obtained in part (a) is represented as :

                  f(t) = 43.25t^{2} + 41t + 1547

Now to estimate the number of craft-beer breweries in 2016, assuming that the trend continued we know that t would be 8 as 2016 - 2008 = 8 years.

<em>So, f(8) = </em>43.25*(8)^{2} + 41*8 + 1547<em> = 4643.</em>

6 0
4 years ago
How is 676543789 written in word form
blsea [12.9K]
Six hundred and seventy six million, five hundred and fourty three thousand seven hundred and eighty nine
8 0
3 years ago
Read 2 more answers
For a pair of similar triangles, corresponding sides are always congruent.<br> True or false?
baherus [9]

That's false. 
For similar triangles, corresponding angles are congruent.
Corresponding sides are in the same ratio but rarely congruent.
(They're congruent only if the ratio is ' 1 ', i.e. the triangles are congruent
as well as being similar.)


6 0
4 years ago
Read 2 more answers
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