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2 years ago

25 points

Mathematics

2 answers:

Dimas [21]2 years ago

7 0

Answer:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22.

Step-by-step explanation:

I will just write out the first five terms for both patterns so it is easier to see.

Pattern A: 2, 7, 12, 17, 22

Pattern B: 2, 5, 9, 12, 15

C and D are both false. B is also false because it adds 4 from 5 to 9 instead of 3. "A" is the correct answer since it matches the correct terms.

pickupchik [31]2 years ago

7 0

Answer:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22

Step-by-step explanation:

Pattern A

Start at 2 and follow the rule "add 5"

$\sf 2 \underset{+5}{\longrightarrow} 7 \underset{+5}{\longrightarrow} 12 \underset{+5}{\longrightarrow} 17 \underset{+5}{\longrightarrow} 22$

So the first five terms in Pattern A are 2, 7, 12, 17, 22

Pattern B

Start at 2 and follow the rule "add 3"

$\sf 2 \underset{+3}{\longrightarrow} 5 \underset{+3}{\longrightarrow} 8 \underset{+3}{\longrightarrow} 11 \underset{+3}{\longrightarrow} 14$

So the first five terms in Pattern B are 2, 5, 8, 11, 14

True Statement

Therefore, the statement that is true is:

A. The first five terms in Pattern A are 2, 7, 12, 17, 22

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A bicycle wheel has a circumference of 62 inches. Find the diameter of the wheel. If necessary, round to the tenths place. A. 39

san4es73 [151]

Answer:

The answer to your question is diameter = 19.7 in

Step-by-step explanation:

Data

Circumference = 62 in

diameter = ?

Process

1.- Write the formula of Circumference, remember that circumference = perimeter.

Perimeter = 2πr

2.- Equal the equation to the value given

2πr = 62

-Solve it for r

r = 62/2(3.14)

-Result

r = 62/6.28

r = 9.87 in

3.- Find the diameter

diameter = 2r

diameter = 2(9.87)

diameter = 19.7 in

4 0

3 years ago

Read 2 more answers

Rectilinear motion is A. non existent B. motion in sphere C. motion along a line.

balandron [24]

Answer: The answer is: C.

~ i hope this is correct, if not im sorry, have a gr8 day my friend!~

Step-by-step explanation:

7 0

3 years ago

What is the sum of the first 51 consecutive odd positive integers?

Angelina_Jolie [31]

We call:

$a_{n}$ as the set of the first 51 consecutive odd positive integers, so:

 $a_{n} = \{1, 3, 5, 7, 9...\}$

Where:
$a_{1} = 1$
$a_{2} = 3$
$a_{3} = 5$
$a_{4} = 7$
$a_{5} = 9$
and so on.

In mathematics, a sequence of numbers, such that the difference between two consecutive terms is constant, is called Arithmetic Progression, so:

3-1 = 2
5-3 = 2
7-5 = 2
9-7 = 2 and so on.

Then, the common difference is 2, thus:

 $a_{n} = \{ a_{1} , a_{1} + d, a_{1} + d + d,..., a_{1} + (n-2)d+d\}$

Then:

 $a_{n} = a_{1} + (n-1)d$

So, we need to find the sum of the members of the finite series, which is called arithmetic series:

There is a formula for arithmetic series, namely:

 $S_{k} = ( \frac{a_{1} + a_{k}}{2} ).k$

Therefore, we need to find:
 $a_{k} = a_{51}$

Given that $a_{1} = 1$ , then:

$a_{n} = a_{1} + (n-1)d = 1 + (n-1)(2) = 2n-1$

Thus:
$a_{k} = a_{51} = 2(51)-1 = 101$

Lastly:

$S_{51} = ( \frac{1 + 101}{2} ).51 = 2601$

4 0

3 years ago

You buy a total of 50 turkey burgers and veggie burgers for $90. You pay $2 per turkey burger and $1.50 per veggie burger. Write

Slav-nsk [51]

Answer:

T + V = 50

2T + (3/2) * V = 90

2T + 1.5V = 90

T = 50 * 1.5 - 90 * 1 / 1 * 1.5 - 2*1 = 30

V = 1 * 90 - 2 * 50 / 1 * 1.5 - 2 * 1 = 20

Step-by-step explanation:

T = 30

V = 20

4 0

2 years ago

Use the Distributive Property to write -3x-4x in factored form

Alchen [17]

-x(3+4)

If you distribute it to all the numbers the simplest form would be -3x-4x

5 0

3 years ago