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3 years ago

Which sentence uses punctuation correctly?

Mathematics

1 answer:

oee [108]3 years ago

7 0

C. Beneath the tall tree, the family ate a picnic of fruit and muffins.

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For the sequence an = an-1 + an-2 and ai = 2, a2 = 3,

loris [4]

Answer:

$a_1 = 2$

$a_2 = 3$

$a_3 = 5$

$a_4 = 8$

$a_5 = 13$

Step-by-step explanation:

Given

$a_n = a_{n-1} + a_{n-2}$

$a_1 = 2$

$a_2 = 3$

Solving (a): The first term

This has already been given as:

$a_1 = 2$

Solving (b): The second term

This has already been given as:

$a_2 = 3$

Solving (c): The third term

This is calculated as:

$a_n = a_{n-1} + a_{n-2}$

$a_3 = a_{3-1} +a_{3-2}$

$a_3 = a_2 +a_1$

$a_3 = 3 +2$

$a_3 = 5$

Solving (d): The fourth term

This is calculated as:

$a_n = a_{n-1} + a_{n-2}$

$a_4 = a_{4-1} +a_{4-2}$

$a_4 = a_3 +a_2$

$a_4 = 5+3$

$a_4 = 8$

Solving (e): The fifth term

This is calculated as:

$a_n = a_{n-1} + a_{n-2}$

$a_5 = a_{5-1} +a_{5-2}$

$a_5 = a_4 +a_3$

$a_5 = 8+5$

$a_5 = 13$

3 0

3 years ago

The diameter of a circle is 6 in. Find its area to the nearest tenth.

Marrrta [24]

Answer and Step-by-step explanation:

The area formula for a Circle is:

A = $\pi r^2$

Diameter is equal to the radius times 2.

So, divide the diameter to get the radius.

6 divided by 2 equals 3.

Now, plug it into the formula.

$A = \pi (3)^{2}$

A = $9\pi$

Plug this into your calculator by multiplying 9 by pi.

We get the answer to be 28.3 when rounded to the nearest tenth.

#teamtrees #PAW (Plant And Water)

8 0

3 years ago

Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25. Mr. Martin goes to the same conces

polet [3.4K]

Answer:

$4.15

Step-by-step explanation:

Let the cost of a cheeseburger be x

Let the cost of a soft pretzels be y

If Mr. Smith goes to the concession stand and buys 2 soft pretzels and 1 cheeseburger for $8.25, this is expressed as;

x + 2y = 8.25 .... 1

Also, if Mr. Martin goes to the same concession stand and buys 1 soft pretzel and 3 cheeseburgers for $13.50, this is expressed as;

3x + y = 13. 50..... 2

The required equations are:

x + 2y = 8.25

3x + y = 13. 50

Find x and y by solving simultaneously:

From 1: x + 2y = 8.25

x = 8.25 - 2y ..... 3

Substitute 3 into 2

3(8.25-2y)+y = 13.50

24.75 - 6y+y = 13.50

24.75 - 5y = 13.50

-5y = 14.50 - 24.75

-5 y = 10.25

y = -10.25/-5

y = 2.05

Since x = 8.25 - 2y

x = 8.25 - 2(2.05)

x = 8.25 - 4.1

x = 4.15

Hence the cost of a cheesburger is $4.15

4 0

3 years ago

Calculate the area and perimeter plz help

kramer

Answer:

Figure 1:

Area: 30m^2

Perimeter: 23.6m

Figure 2:

Area: 98.8km^2

Perimeter:56.5km

Step-by-step explanation:

Area is base x height.

To get the perimeter, add up all the sides.

Figure 1:

Area:

6x5=30m^2

Perimeter: 6+5.8+6+5.8=23.6m

Figure 2:

Area:

7.6x13 = 98.8km^2

Perimeter:7.6+15+20+13.9=56.5km

7 0

3 years ago

What property will you use to solve this equation; 19+n=30

mr Goodwill [35]

Answer:

i think its multiplication property of equality

Step-by-step explanation:

19 + n = 30

19 + n - 19 = 30 - 19

n = 11

6 0

3 years ago