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Sholpan [36]
2 years ago
12

To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches. He

Mathematics
1 answer:
Mrrafil [7]2 years ago
3 0

Express all possible lengths for this scrap as a compound inequality will be L ≤ 24.

<h3>What is inequality?</h3>

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

To repair a leak a plumber needs a pipe that is within 3/4 of an inch of 32 inches.

⇒ 3/4 x 32

⇒ 24

He already has a 48-inch pipe.

Let the variable L represents the length of the extra (scrap) that is removed from the 48-inch pipe will be

Then express all possible lengths for this scrap as a compound inequality will be

L + 24 ≤ 48

       L ≤ 48 - 24

       L ≤ 24

More about the inequality link is given below.

brainly.com/question/19491153

#SPJ1

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Georgie spent 15 hours doing her chores last week. This week
Oksana_A [137]

Answer:

Yes. Explanation: 120%=1.2. If Maxine is correct, then she spent 1.2 times the hours she did homework than last week. 15⋅1.2=18.0=18.

Yes Explanation: 120

3 0
2 years ago
The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term
Salsk061 [2.6K]

Answer:

The first three terms of the geometry sequence would be 1, 5, and 25.

The sum of the first seven terms of the geometric sequence would be 127.

Step-by-step explanation:

<h3>1.</h3>

Let d denote the common difference of the arithmetic sequence.

Let a_1 denote the first term of the arithmetic sequence. The expression for the nth term of this sequence (where n\! is a positive whole number) would be (a_1 + (n - 1)\, d).

The question states that the first term of this arithmetic sequence is a_1 = 1. Hence:

  • The third term of this arithmetic sequence would be a_1 + (3 - 1)\, d = 1 + 2\, d.
  • The thirteenth term of would be a_1 + (13 - 1)\, d = 1 + 12\, d.

The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let r denote the ratio of the geometric sequence in this question.

Ratio between the second term and the first term of the geometric sequence:

\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d.

Ratio between the third term and the second term of the geometric sequence:

\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}.

Both (1 + 2\, d) and \left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right) are expressions for r, the common ratio of this geometric sequence. Hence, equate these two expressions and solve for d, the common difference of this arithmetic sequence.

\displaystyle 1 + 2\, d = \frac{1 + 12\, d}{1 + 2\, d}.

(1 + 2\, d)^{2} = 1 + 12\, d.

d = 2.

Hence, the first term, the third term, and the thirteenth term of the arithmetic sequence would be 1, (1 + (3 - 1) \times 2) = 5, and (1 + (13 - 1) \times 2) = 25, respectively.

These three terms (1, 5, and 25, respectively) would correspond to the first three terms of the geometric sequence. Hence, the common ratio of this geometric sequence would be r = 25 /5 = 5.

<h3>2.</h3>

Let a_1 and r denote the first term and the common ratio of a geometric sequence. The sum of the first n terms would be:

\displaystyle \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}.

For the geometric sequence in this question, a_1 = 1 and r = 25 / 5 = 5.

Hence, the sum of the first n = 7 terms of this geometric sequence would be:

\begin{aligned} & \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}\\ &= \frac{1 \times \left(1 - 2^{7}\right)}{1 - 2} \\ &= \frac{(1 - 128)}{(-1)} = 127 \end{aligned}.

7 0
2 years ago
In the lottery game known as 6/36, a player picks six numbers from 1 to 36. (a) How many different ways are there for the player
Goryan [66]

Answer:

Step-by-step explanation:

Part A

This is a combination problem. Order does not matter.

36C6

36!/(30! 6!)

36 * 35 * 34 * 33 * 32 * 31/ 6!

1402410240/6!

1947792

Part B

1 / (36C6)

0.000000513 or

0.0000005

3 0
3 years ago
PLS HELP
Travka [436]

Answer:

A

Step-by-step explanation:

I did it on a test too

6 0
2 years ago
What’s the answer for this question
LenKa [72]

Answer:

12.56 yd^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi (2)^2 (1)

V = pi (4)

Let pi = 3.14

V = 3.14 (4)

V =12.56

3 0
3 years ago
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