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3 years ago

At lunchtime, a cafeteria served a total of 3/8 of a pot of chicken soup and 7/8 of a pot of

2 answers:

7 0

Answer:

1 1/4

reason:

add 7/8 and 3/8 to get 10/8
this can be simplified to 1 2/8
simplify 2/8 to 1/4 to get the final answer, 1 1/4

olga nikolaevna [1]3 years ago

4 0

Answer:

1 1/4 pots of soup.

Step-by-step explanation:

3/8 + 7/8 = 10/8. That's 1 2/8 which simplifies to 1 1/4

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2 x4 + 14x² + x² – 21x – 6 2x² – 3

Pachacha [2.7K]

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3 years ago

The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i

Anit [1.1K]

Answer:

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The $n^{th}$ term of geometric sequence is given by:

$a_n = ar^{n-1}$

$a_4 = 16 = ar^3\\a_6 = 4 = ar^5$

Dividing the two equations, we get,

$\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}$

the first term can be calculated as:

$16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128$

Thus, the required geometric sequence is

$a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}$

4 0

3 years ago

What is the volume of a come that has a height of 40 millimeters and a diameter of 25 millimeters? Use 3.14 for pi.

Fantom [35]

Answer:

6541.7 mm³ (nearest tenth)

Step-by-step explanation:

$\boxed{volume \: of \: cone = \frac{1}{3}\pi {r}^{2}h }$

Given that the height is 40mm, h= 40mm.

Diameter= 2(radius)

Radius of cone

= 25 ÷2

= 12.5mm

Volume of cone

$= \frac{1}{3} (3.14)(12.5)^{2} (40)$

= 6541.7 mm³ (nearest tenth)

3 0

3 years ago

Evaluate this expression for a = 3 and b = 4.

ahrayia [7]

Answer:

Step-by-step explanation:

a = 3

b = 4

$b(a + 4)-3(3 + 2)+3 - 2\\a = 3,b=4\\4(3+4)-3(5)+3 - 2\\4(7)-15+3 - 2\\28-14\\\\14$

8 0

3 years ago

Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan

morpeh [17]

Answer:

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan ( 2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

3 0

3 years ago