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hodyreva [135]
3 years ago
12

Which value of x makes x-3/4 + 2/3 = 17/12 true?

Mathematics
1 answer:
kramer3 years ago
5 0

Answer:

Step-by-step explanation:

x - 9/12 + 8/12 = 17/12

x - 1/12 = 17/12

x = 18/12= 3/2 = 1 1/2

You might be interested in
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}

7 0
2 years ago
(3/5)x + 25y=10 determine the slope of the line
Sophie [7]

Answer:

The slope is -0.048/2.000 or -0.024

Step-by-step explanation:

7 0
3 years ago
1 ton = ____ pounds<br> 1 pound = ____ ounces
Tcecarenko [31]

Answer:

1 ton = 2000 pounds

1 pound = 16 ounces

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A. What is the approximate perimeter of the concrete region?
Nastasia [14]
You have a square with half circles along the sides.
The length of each side is 4ft, so the radius of the circles is 2ft

to calculate the perimeter you can calculate the circumference of 4 half circles = 2 complete circles
c=2r*\pi=
2*2\pi=12.56
perimeter=2c=25.12=8\pi

the area is the area of 2 circles+the area of the square
circle area= r^2*\pi=2*2\pi=4\pi
concrete area=circle area*2+square area
=4\pi *2+(4*4)
=8\pi+(4*4)
=8\pi+16ft
=41.12 ft^2
7 0
4 years ago
Simplify the following expression. (75x - 67y) - (47x + 15y)
azamat

Hi there! :)

Answer:

\huge\boxed{2(14x - 41y)}

(75x - 67y) - (47x + 15y)

Distribute the '-' sign with the terms inside of the parenthesis:

75x - 67y - (47x - (15y))

75x - 67y - 47x - 15y

Combine like terms:

28x - 82y

Distribute out the greatest common factor:

2(14x - 41y)

8 0
3 years ago
Read 2 more answers
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