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stepladder [879]
3 years ago
14

2/3 (x – 7)= -2 i know x=4 but i need a good show of work for teacher worth 22 points make it worth it

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Step-by-step explanation:

⅔ (x – 7) = -2

Let's start by getting rid of the fraction.  Multiply both sides by 3.

2 (x – 7) = -6

Distribute the 2:

2x – 14 = -6

Add 14 to both sides:

2x = 8

Divide both sides by 2:

x = 4

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Answer:

$5700 - $5500= $200

Explanation:

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The hire purchase price: $1500 + $4200 = $5700

The amount saved by paying cash: $5700 - $5500= $200

3 0
2 years ago
Evaluate (3)^1/6 × (3)^-2/3
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The growth of a city is described by the population functionwhereis the initial population of the city, t is the time in years,
mamaluj [8]

Complete question:

The growth of a city is described by the population function p(t) = P0e^kt where P0 is the initial population of the city, t is the time in years, and k is a constant. If the population of the city atis 19,000 and the population of the city atis 23,000, which is the nearest approximation to the population of the city at

Answer:

27,800

Step-by-step explanation:

We need to obtain the initial population(P0) and constant value (k)

Population function : p(t) = P0e^kt

At t = 0, population = 19,000

19,000 = P0e^(k*0)

19,000 = P0 * e^0

19000 = P0 * 1

19000 = P0

Hence, initial population = 19,000

At t = 3; population = 23,000

23,000 = 19000e^(k*3)

23000 = 19000 * e^3k

e^3k = 23000/ 19000

e^3k = 1.2105263

Take the ln

3k = ln(1.2105263)

k = 0.1910552 / 3

k = 0.0636850

At t = 6

p(t) = P0e^kt

p(6) = 19000 * e^(0.0636850 * 6)

P(6) = 19000 * e^0.3821104

P(6) = 19000 * 1.4653739

P(6) = 27842.104

27,800 ( nearest whole number)

3 0
3 years ago
PLEASE HELP!!!!
kompoz [17]

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Step-by-step explanation:

3 0
3 years ago
At one​ store, Julia saved ​$10 with a coupon for 40​% off her total purchase. At another​ store, the ​$29 she spent on books is
barxatty [35]
Let "a" and "b" represent the values of the first and second purchases, respectively.
  0.40*(original price of "a") = $10
  (original price of "a") = $10/0.40 = $25.00 . . . . divide by 0.40 and evaluate
  a = (original price of "a") - $10 . . . . . . Julia paid the price after the discount
  a = $25.00 -10.00 = $15.00

At the other store,
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  $29/0.58 = b = $50 . . . . . . . divide by the coefficient of b and evaluate

Then Julia's total spending is
  a + b = $15.00 +50.00 = $65.00

Julia spent $65 in all at the two stores.
6 0
3 years ago
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