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VLD [36.1K]
3 years ago
11

A rubber ball bounces after it is dropped from a height of 212 feet, and it

Mathematics
1 answer:
Tema [17]3 years ago
3 0

Answer:

C. 8 bounces

Step-by-step explanation:

To solve this, you can write an equation before turning it into an inequality:

y = 212*(1/2^x)

(x is bounces, y is height)

Now you can change it into an inequality to fit the height of less than 1:

1 > 212*(1/2^x)

In order for the right side of the equation to be less than 1, 2^x must be greater than 212 (because 212*(1/212) is 1, so if the denominator is greater, it'll be less than 1). 2^8 is 256, which is greater than 212, so that means x is 8.

Because x represents bounces, that means the ball's height will be under 1 foot after 8 bounces.

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Roman55 [17]

Answer:

A. 144 ft^3

Step-by-step explanation:

5 0
3 years ago
Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m
Mice21 [21]

Answer:

6.1

Step-by-step explanation:

area =leanth x breath.

if one side=4.7,

then, missing length=area/given side

= 28.67/4.7

=6.1

4 0
3 years ago
The value of x for which 3 (x-2) = 2 (x+1)​
netineya [11]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

3(x - 2) = 2(x + 1)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                     3x - 6 = 2x + 2
  2. Subtract 2x on both sides:          x - 6 = 2
  3. Add 6 to both sides:                    x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(8 - 2) = 2(8 + 1)
  2. Subtract/Add:                      3(6) = 2(9)
  3. Multiply:                               18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

7 0
3 years ago
Pls help extra points and mark brainlist
Katyanochek1 [597]

Answer:

(12)3=36

Step-by-step explanation:

i don't know.. I think this is what the question is trying to say XD

6 0
3 years ago
Read 2 more answers
Write a system of equations to describe the situation below, solve using elimination.
Sedbober [7]

Answer:

The cost of hardbook is $9 and cost of paperback is $5.

Step-by-step explanation:

Let x be the price for hardback book and y be the price for paperback book.

Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.

We can write the equation as:

42x + 64y = 698

He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.

We can write the equation as:

42x + 58y = 668

We have to use the elimination method to solve the two equations.

We eliminate x by subtracting the two equations.

42x + 64y-(42x + 58y) = 698 - 668\\\Rightarrow 6y = 30\\\Rightarrow y = 5\\42x + 64(5) = 698\\\\\Rightarrow x = \displaystyle\frac{698 - 64(5)}{42}\\\\\Rightarrow x = 9

Thus, the cost of hardbook is $9 and cost of paperback is $5.

8 0
3 years ago
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