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geniusboy [140]
3 years ago
7

The p/q from of 6.7777777

Mathematics
1 answer:
fomenos3 years ago
3 0

Answer:

61/9

Step-by-step explanation:

We can use algebra to write the decimal in p/q form.

x=6.7777777777777

10x=67.777777777777

10x-x=67.7777777777777-6.77777777777777

9x=61

9x/9=61/9

x=61/9

It is now in p/q form.

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If the common difference of an ap is 3/2 and its 20 th term 35×1/2 find first term and 15 th term
Lady bird [3.3K]

Answer:

Step-by-step explanation:

d = 3/2

a₂₀ = a₁+19d

35/2 = a₁ + 19×3/2

a₁ = 35/2 - 19×3/2 = -11

a₁₅ = a₁+14d = -11 + 14×3/2 = 10

4 0
3 years ago
What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2
Oliga [24]

Answer:

The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)

<u>Solution:</u>

Given, equation is y-9=-6(x-1)^{2}

We have to find the vertex of the given equation.

When we observe the equation, it is a parabolic equation,

We know that, general form of a parabolic equation is  y-9=-6(x-1)^{2}

Where, h and k are x, y co ordinates of the vertex of the parabola.

\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9

By comparing the above equation with general form of the parabola, we can conclude that,

a = -6, h = 1 and k = 9

Hence, the vertex of the parabola is (1, 9).

7 0
3 years ago
Johan published a monthly poetry magazine. In March he printed 1400 copies of magazine. In April he increased his print run by 1
quester [9]

Answer:

1610

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Given that <br><img src="https://tex.z-dn.net/?f=2%20%7B%7D%5E%7Bx%7D%20%20%3D%200.125" id="TexFormula1" title="2 {}^{x} = 0.12
Luda [366]
Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
5 0
3 years ago
Read 2 more answers
A waterslide is rented at $500 per day plus a charge per hour of use. The bounce house was used for 5 hours one day, and the tot
Mazyrski [523]

Answer: 500+5x=800

Step-by-step explanation:

Given: The rent of waterslide per day  = $500

Let x be the a charge per hour of use.

The number of hours bounce house was used  = 5 hours

Since, the total charge was $800.

Therefore, the equation can be used to find the charge x, in dollars, per hour of use is given by :-

Fixed charge+5 times x=Total charge

\Rightarrow500+5x=800

4 0
3 years ago
Read 2 more answers
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