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expeople1 [14]
3 years ago
12

Hevesh wants to make 2 lines of dominoes that are both 21 inches long. Each line has dominoes spaced 1 and 1/2 inches apart. How

many dominoes will she need for both lines?
Mathematics
1 answer:
aliya0001 [1]3 years ago
3 0

Answer: 30 dominoes in total.

Step-by-step explanation:

Each line is 21 inches long.

the space between dominoes is 1 + 1/2 inches.

(assuming that the distance includes the domino itself) Now, we need at least two dominoes to see this distance,

The we have N + 1 dominoes per line, and the distance is:

N*(1 + 1/2)inches = 21 inches

If we find N, we can find the number of domineoes in each line:

N = 21/(1 + 1/2) = 14

This means that we have 14  + 1 = 15 dominoes in each line, and we have two lines, so we have 30 dominoes in total.

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Use the function f(x) = 2x + 5 to complete the table below.
Mademuasel [1]

-1 3 5 8 13 It is because x is grows by the number you put in and you add the 5
4 0
3 years ago
at 10a.m. you consume an energy drink containing 800mg of caffeine. if the half-life of caffeine is 5.7 hours, how much caffeine
icang [17]

Answer:

268 mg

Step-by-step explanation:

Let A₀ = the original amount of caffeine

The amount remaining after one half-life is ½A₀.

After two half-lives, the amount remaining is ½ ×½A₀ = (½)²A₀.

After three half-lives, the amount remaining is ½ ×(½)²A₀ = (½)³A₀.

We can write a general formula for the amount remaining:

A =A₀(½)ⁿ

where n is the number of half-lives .

n = t/t_½

Data:

  A₀ = 800 mg

    t₁ = 10 a.m.

   t₂ = 7 p.m.  

t_½ = 5.7 h

Calculations:

(a) Calculate t

t = t₂ - t₁ = 7 p.m. - 10 a.m. = 19:00 - 10:00 = 9:00 = 9.00 h

(b) Calculate n

n = 9.00/5.7 = 1.58

(b) Calculate A

A = 800 × (½)^1.58 = 800 × 0.334 = 268 mg

You will still have 268 mg of caffeine in your body at 10 p.m.

6 0
3 years ago
2(12 - y) = 23- (2y - 1) is there a solution for this?
natali 33 [55]

Answer:

Step-by-step explanation:

Short Answer: No

2(12 - y) = 23- (2y - 1)                    Remove the Brackets on both sides

24 - 2y = 23 - 2y + 1                     Combine like terms on the right

24 - 2y = 24 - 2y                          No matter what you do, the 2ys are going to cancel. When they do, the question goes with them.

You get 24 = 24 Which is true but not relevant.

The other answer you could use is there are an infinite number of answers.

Equality will be maintained, but there is no single answer that works.

3 0
3 years ago
Read 2 more answers
Find the first , fourth , and eighth terms of the sequence A(n) = -3 •2 ^x - 1
Usimov [2.4K]

Answer:

A(1) = -7

A(4) = -48

A(8) = -769

Step-by-step explanation:

A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1  \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1  \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}

5 0
4 years ago
Charlie made the following table to record the height of each person in his family.
malfutka [58]

Answer:

The dad is 2/8 of a foot taller than his mom.

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
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