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zlopas [31]
3 years ago
13

Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016

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

<em><u>The number 0.000000016 is expressed in scientific notation is:</u></em>

1.6 \times 10^{-8}

<em><u>Solution:</u></em>

Given that,

Charlie learns that a computer processor can perform one command in approximately 0.000000016  nanoseconds

We have to express in scientific notation

<em><u>Step 1:</u></em>

Given number is:

0.000000016

Move the decimal point in 0.000000016 until there is only one non-zero digit to the left of the decimal point

Here,

Move the decimal 8 places to the right to get 1.6

We have moved the decimal to left, therefore, exponent is negative

1.6 \times 10^{-8}

Thus the given number is expressed in scientific notation

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1. Dorothy bought a teddy bear and sold it at a 20% profit to Kim. Kim bought a suit costing $100 and dressed the teddy bear up
makkiz [27]

1. Dorothy paid $200 for the teddy bear

2. y is more than x by 33\frac{1}{3} %

Step-by-step explanation:

1. The given is:

  • Dorothy bought a teddy bear and sold it at a 20% profit to Kim
  • Kim bought a suit costing $100 and dressed the teddy bear up in the suit
  • Kim then sold the teddy bear in the suit to Karen for $442
  • Kim made a profit of 30%

We need to find how much Dorothy paid for the teddy bear

Assume that Dorothy bought a teddy bear for $x

∵ Dorothy bought a teddy bear for $x

∵ She sold it at a profit 20% to Kim

By using the ratio method

→  Buying price    :    Profit    :    Selling price

→  100%                 :   20%       :    120% ⇒ (100% + 20%)

→  x                         :                 :    ?

By using cross multiplication  

∴ 100% × Selling price = x × 120%

- Divide both sides by 100%

∴ Selling price = 1.2x

∴ Dorothy sold the teddy bear for $1.2x to Kim

∵ Kim bought a suit costing $100 and dressed the teddy bear

  up in the suit

∴ The cost of the teddy bear = 1.2x + 100

∵ Kim sold the teddy bear in the suit to Karen for $442

∵ Kim made a profit of 30%

By using the ratio method

→  Cost price    :    Profit    :    Selling price

→  100%             :   30%      :    130% ⇒ (100% + 30%)

→  1.2x + 100     :                 :    442

By using cross multiplication  

∴ (1.2x + 100) × 130% =  100% × 422

- Divide both sides by 130%

∴ 1.2x + 100 = 340

- Subtract 100 from both sides

∴ 1.2x = 240

- Divide both sides by 1.2

∴ x = 200

∴ Dorothy bought the teddy bear for $200

Dorothy paid $200 for the teddy bear

2. The given is:

  • x is less than y by 25%
  • Then y is more than x by how many percent

Assume that y is 100%

∵ y = 100%

∵ x is less than y by 25%

∴ x = 100% - 25%

∴ x = 75%

- The percentage of increasing of y = \frac{y-x}{x} × 100%

∵ The percentage of increasing of y = \frac{100-75}{75} × 100%

∴ The percentage of increasing of y = \frac{25}{75} × 100%

∴ The percentage of increasing of y = \frac{1}{3} × 100%

∴ The percentage of increasing of y = 33\frac{1}{3} %

y is more than x by 33\frac{1}{3} %

Learn more:

You can learn more about the ratio in brainly.com/question/4713715

#LearnwithBrainly

6 0
3 years ago
pls help this is really complicated for my brain so if anyone knows how to do backtracking and undoing any help is accepted!!!
jeka57 [31]

Answer:

2.73     8.75

Step-by-step explanation:

n = 1  

1 (DOUBLE) = 1+1 = 2  

2 +3/4 = 1.5

1.5 +2 = 3.5  

3.5 x 0.22 = 0.77

3.5 - 0.77 = 2.73

n = 1

1 + 3/4 = 1 + 0.75 = 1.75

1.75 (DOUBLE) = 3.5

3.5 x 2 1/2 = 8.75

8 0
3 years ago
Read 2 more answers
Josephina is four years younger than Cameron and the sum of their ages is 88. write an equation and solve it to figure out their
slavikrds [6]
Josephina is 42 and Cameron is 46. The equation is 42 plus 46 = 88.
3 0
3 years ago
Read 2 more answers
Isla is given $100,000 for college expenses. She deposits the money in a bank account that doesn't pay any interest on the money
BigorU [14]

Answer:

  • She still has $15000 in the account after she graduates

Step-by-step explanation:

Let the number of semesters is s and the balance id b(s)

<u>The balance after s semesters can be expressed as:</u>

  • b(s) = 100000 - 8500s

<u>After 10 semesters Isla has:</u>

  • b(10) = 100000 - 8500*10 = 15000
6 0
3 years ago
The ratio of boys to girls at the beach cleanup was 7:8. If there were 42 boys, how many girls were there?
sergey [27]

Answer: 48

Step-by-step explanation:

7:8 is equal to 42:48 because its multiplying 6 to the original numbers


3 0
3 years ago
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