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Stella [2.4K]
4 years ago
11

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

Mathematics
1 answer:
IRISSAK [1]4 years ago
4 0

Answer:

30/11 > p

Step-by-step explanation:

-7p-4>26p-94

Add 7p to each side

-7p+7p-4>26p+7p-94

-4 > 33p -94

Add 94 to each side

-4+94 > 33p-94+94

90 > 33p

Divide each side by 33

90/33 > 33p/33

30/11 > p

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PLEASE HELP ON BOTH OF THEM ITS DUE TODAY!!!
S_A_V [24]

Answer:

For the first one, the answer is 7.5, and for the second one, it's 1.5

Step-by-step explanation:

2 1/2 ÷ 1/3

5/2 ÷ 1/3

5/2 x 3/1

15/2 or 7.5

1/2 ÷ 1/3

1/2 x 3/1

3/2 or 1.5

HOPE THIS HELPS! ENJOY THE REST OF YOUR DAY!

7 0
4 years ago
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (0,-1)
AfilCa [17]

Answer: in your case, point slope form will be y+1 = (the parellel slope or M)(x-0)

Step-by-step explanation:

basically the point slope form is suppose to be y - (y coodinate) = (M or slope)(x - (x coodinate) )

Parellel lines are the slope is the same, but the coordinates aren't

eg.    what is the equation, in point slope form, of the coordinate of a line (3,4) that is parellel to the equation: y = 3/4x + 6

no. 1: slope is 3/4

no. 2 plug all info into the equation: y - (y coodinate) = (M or slope)(x - (x coodinate) )

no.3 you have your equation! y - 4 = 3 / 4 ( x - 3 )

6 0
4 years ago
Exponential growth/decay problem 2
lapo4ka [179]

Answer:

a) decay

b) 2,950,000

c) 0.025

d) f(x)=2950000(0.975)^x

e) 2,409,123

Step-by-step explanation:

<u>Part (a)</u>

Exponential DECAY, since the population was decreasing annually.

<u>Part (b)</u>

Initial amount = 2,950,000 people (in the year 2000)

<u>Part (c)</u>

Decay factor = 2.5% = 0.025 (in decimal form)

<u>Part (d)</u>

General form of exponential decay function:

f(x)=a(1-r)^x

where:

  • a = initial amount
  • r = rate of decay (in decimal form)
  • x = time (in years)

Given:

  • a = 2950000
  • r = 0.025

\implies f(x)=2950000(1-0.025)^x

\implies f(x)=2950000(0.975)^x

<u>Part (e)</u>

To determine the city's population in 2008:

x = 2008 - 2000 = 8

\begin{aligned}\implies f(8) & =2950000(0.975)^8\\ & = 2409123\: \sf(nearest\:whole\:number)\end{aligned}

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Answer:

width is 12 feet. Length is 32 feet.

Step-by-step explanation:

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