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Alex787 [66]
3 years ago
15

A length of string is 42 1/2 inches long.

Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Answer:   5 5/16 inches

Step-by-step explanation:

3 ways to get this.

1. Estimate. You know that 8 × 5 is 40, and 40 is close to 42.  40 ÷ 8 is  5

There is only one answer close to that so choose A.

2. Calculate. Change the numbers to a decimal and divide:  42.5 ÷ 8 = 5.3125

3 . Fraction multiplication and division: Make 42 1/2 into an "improper fraction"

and multiply.   85/2 × 1/8 = 85/16   Divide  "old style" long division to get a remainder.  85 ÷ 16 = 5, remainder 5.  Put the remainder 5 over the divisor 16 to end up with 5 5/16

agasfer [191]3 years ago
6 0

Answer:

5 5/16

Step-by-step explanation:

you just divide 42 1/2 by 8

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D(n) = -5 (1/2)n-1<br> What is the 3rd term in the sequence?
jonny [76]

Answer:

-5

Step-by-step explanation:

dₙ = -5 (1/2)n-1

the 3rd term in the sequence means n = 3

d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5

3 0
3 years ago
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301.6=3.14•4•h/3 find h
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301.6=3.14×4×h/3
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4 years ago
Which expressions are equivalent to z + (z + 6)
elixir [45]

Answer:

C  2(z+3)

Step-by-step explanation:

z+(z+6)

Combine like terms

2z+6

We can factor out a 2 from each term

2(z+3)

7 0
3 years ago
Alang has a points card for a movie theater. He receives 55 rewards points just for signing up. He earns 3.5 points for each vis
Feliz [49]

Alang must visit 8 times to the theatre to earn a free movie ticket.

<h3>What is an expression?</h3>

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Alang has a points card for a movie theatre. He receives 55 reward points just for signing up. He earns 3.5 points for each visit to the movie theatre. He needs 83 points for a free movie ticket.

Form an equation and calculate the number of tickets:-

55 + 3.5N = 83

3.5 N = 83 - 55

3.5N = 28

N = 28 / 3.5

N = 8

Therefore, Alang must visit 8 times to the theatre to earn a free movie ticket.

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4 0
1 year ago
Using complete sentences, explain the key features of the graph of the tangent function.
Temka [501]

Answer:

We are given the tangent function f(x)=\tan x.

Firstly we know that, \tan x=\frac{\sin x}{\cos x}, where \sin x is the sine function and \cos x is the cosine function.

Now, tangent function will be zero when its numerator is zero.

i.e. \tan x=0 when \sin x=0.

i.e. \tan x=0 when x=n \pi, where n is the set of integers.

So, tangent function crosses x-axis at n \pi, n is the set of integers.

Further, tangent function will be undefined when its denominator is zero.

i.e. \tan x=0 when \cos x=0.

i.e. \tan x=0 when x=(2n-1) \frac{\pi}{2}, where n is the set of integers.

Moreover, a zero in the denominator gives vertical asymptotes.

So, tangent function will have vertical asymptotes at (2n-1) \frac{\pi}{2}, n is the set of integers.

Therefore, these key features gives us the graph of a tangent function as shown below.

8 0
3 years ago
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