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yanalaym [24]
3 years ago
5

The numerator of a fraction that is written in simplest form is 4 less than the denominator. If you multiply the numerator by 2

and increase the denominator by 14, the new fraction is less than the original fraction by 1/3 of it.
Mathematics
2 answers:
PIT_PIT [208]3 years ago
8 0

9514 1404 393

Answer:

  3/7

Step-by-step explanation:

Let n represent the numerator of the original fraction. Then its denominator is n+4. The new fraction is ...

  \dfrac{2n}{(n+4)+14}=(1-\dfrac{1}{3})\cdot\dfrac{n}{n+4}\\\\\dfrac{2n}{n+18}=\dfrac{2n}{3(n+4)}\\\\n+18=3n+12\\\\6=2n\\\\n=3

So, the original fraction is ...

  3/7

Molodets [167]3 years ago
8 0

Answer:

3/7 is the answer

Step-by-step explanation:

Rsm?

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sertanlavr [38]

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20

8 0
3 years ago
y = 2x squared + 5x -3 can be written in the form y= 2( x+a) squared + b . Find the value of a and the value of b.
Elan Coil [88]

General vertex form:

y = m(x − a)² + b  \: with  \: vertex \:  at \:  (a, b)

Given :

y = 2x² + 5x  - 3

Extract "spread factor" m

y = 2( x² +  \frac{5}{2} x) - 3

Complete the square

y = 2(x²  +  \frac{5}{2}x + ( \frac{5}{4})²) - 3

- 2( \frac{5}{4})²

Write as a squared binomial and simplify the constant

y = 2(x +  \frac{5}{4})² - 6 \frac{1}{8}

Re-write to match signs of standard general form:

y = 2(x - ( -  \frac{5}{4}))² \:  + ( - 6 \frac{1}{8})

3 0
2 years ago
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weqwewe [10]

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Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.

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2 years ago
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Virty [35]

Answer: p=100t

Step-by-step explanation:

I just took the self assessment for JMHS & this was the correct answer

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luda_lava [24]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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