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yanalaym [24]
3 years ago
11

Austin collected 30 9/10 kilograms of glass for recycling. Exactly 2/3 of the glass he collected was blue. What was the total am

ount, in kilograms, of blue glass Austin collected?
Mathematics
1 answer:
elena55 [62]3 years ago
3 0

2/3 of 30 9/10 = (30*10 + 9)/10 = 309/10 kilograms of glass is blue or there are:


(2/3)(309/10) = (2*309)/(3*10) = (2*103)/10 = 206/10 = 10.6 kg of blue glass.

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Distances in space are measured in light-years. The distance from Earth to a star is 6.8 × 1013 kilometers. What is the distance
aalyn [17]
6.8 x 10^13 = 68,000,000,000,000
9.46 x10 ^12 = 9,460,000,000,000

6.8 x 10^13  *  1 light year / 9.46 x 10^12 = 7.188 light years.


3 0
3 years ago
The difference between two numbers is 9 and the product of the numbers is 162. Find the two numbers
fiasKO [112]
Let the no be X and Y

acc to ques....

x-y=9 .........1

xy=162 ..........2

substituting value from 1 in 2 we get;

x=9+y

[9+y][y] = 162

y^2+9y = 162

y^2 + 9y - 162=0

y^2 + 18y - 9y - 162=0

y[y+18] + 9[y+18]=0

[y+9][y+18}

y= -9.................................3


y= -18......................................4



case 1 :

y= -9

x = 9-9=0

case 2:

y= -18

x= 9-18 = -9
7 0
3 years ago
What is the derivative of 3x+5x
Vaselesa [24]

Answer:

\displaystyle \frac{d}{dx}[3x + 5x] = 8

General Formulas and Concepts:

<u>Calculus</u>

Differentiation

  • Derivatives
  • Derivative Notation

Derivative Property [Multiplied Constant]:                                                           \displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)

Basic Power Rule:

  1. f(x) = cxⁿ
  2. f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle y = 3x + 5x

<u>Step 2: Differentiate</u>

  1. Simplify:                                                                                                         \displaystyle y = 8x
  2. Derivative Property [Multiplied Constant]:                                                   \displaystyle y' = 8\frac{d}{dx}[x]
  3. Basic Power Rule:                                                                                         \displaystyle y' = 8

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0
3 years ago
Show how to use the distributive property to find 7 x 1214
Sophie [7]

Answer:8498

Step-by-step explanation:

(7*1000)+(7*200)+(7*10)+(7*4)

7000+1400+70+28

8498

8 0
3 years ago
382 milliliters equals to how many liters
Ivan
The answer is 0.382 a liter
3 0
3 years ago
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