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Kruka [31]
3 years ago
7

Simplify:2 1/3(4 1/4÷2)

Mathematics
1 answer:
kondor19780726 [428]3 years ago
4 0

Answer:

4\frac{23}{24}

Step-by-step explanation:

We want to simplify:

2\frac{1}{3}(4\frac{1}{4}\div 2)

We convert to improper fraction to get:

\frac{7}{3}(\frac{17}{4}\div 2)

We now deal with the parenthesis by multiplying with the reciprocal of 2.

\frac{7}{3}(\frac{17}{4}\times \frac{1}{2} )

This gives:

\frac{7}{3}(\frac{17}{8})

We multiply to get:

\frac{7}{3}(\frac{17}{8})

This simplfies to:

\frac{119}{24}

We write as mixed number

4\frac{23}{24}

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Question 3. Find the distance between P(4,5) and the line with equation 8x + 5y = 20​
earnstyle [38]

Answer:

Step-by-step explanation:

8x+5y = 20

y = (-8/5)x + 4

slope of the line is -8/5.

slope of any perpendicular to the line is ⅝.

line of slope ⅝ that passes through P(4,5):

y-5 = ⅝(x-4)

y = ⅝x + 2.5

find intersection of lines

⅝x + 2.5 = (-8/5)x + 4

25x + 100 = -64x + 160

89x = 60

x = 60/89, y = 260/89

distance between (60/89, 260/89) and (4,5) = 3.92

8 0
3 years ago
Solve for x x + 47 = -23
givi [52]
X = -23 - 47 
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7 0
3 years ago
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Consider a sequence defined by the recursive rule f(1) = 15; f(n)=f(n - 1) - 6 for n 2. Choose True or
Shkiper50 [21]

Answer:

The second term of the sequence is 8  False ⇒ B

The third term of the sequence is 3  True ⇒ A

The fourth term of the sequence is -3  True ⇒ A

Step-by-step explanation:

The form of the recursive rule is:

f(1) = first term; f(n) = f(n - 1) + d, where

  • f(1) is the first term
  • f(n) is the nth term
  • f(n - 1) is the term before the nth term
  • d is the common difference

∵ f(1) = 15, f(n) = f(n - 1) - 6 for n ≥ 2

∴ The first term = 15

∴ d = -6

let us find the 2nd, 3rd, and 4th terms

∵ n = 2

∴ f(2) = f(1) - 6

∵ f(1) = 15

∴ f(2) = 15 - 6 = 9

∴ The second term is 9

∴ The second term of the sequence is 8  False

∵ n = 3

∴ f(3) = f(2) - 6

∵ f(2) = 9

∴ f(3) = 9 - 6 = 3

∴ The third term is 3

∴ The third term of the sequence is 3 True

∵ n = 4

∴ f(4) = f(3) - 6

∵ f(3) = 3

∴ f(4) = 3 - 6 = -3

∴ The fourth term is -3

∴ The fourth term of the sequence is -3 True

5 0
3 years ago
You deposit $2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 25
kozerog [31]

This is what I get.  Total will be 4187.56 with  Interest 2187.56.   By using the formula: To find amount : A=p (1+r/n)^n×t Where P=2000,r=3%,n=1,t=25 So plug in and solve  A=2000(1+0.03/1)^1×25   To find interest you use formula  A=p+I A=4187.56, p=2000,i= we need to find. 4187.56=2000+I 4187.56-2000=I 2187.56=i

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Step-by-step explanation:

whaaaaaat ........how do we know that

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