# mathematics

What are the next three numbers in this pattern?

729, 243, 81, 27, __, __, __

9, 6, 3
9, 3, 1
6, 3, 0
18, 9, 3
A rectangle has a perimeter of 20 inches and an area of 24 square inches. What are the length and width of the rectangle?

5 inches x 4 inches
4 inches x 6 inches
6 inches x 3 inches
3 inches x 8 inches
To earn money, George types papers for college students. For regular term papers, he charges by the page: \$1.50 each. For scientific and technical papers, he charges more because they take longer to type. If he types forty-five regular pages and thirty-six technical pages, how much will he earn?

What other information is needed to solve this problem?

what kind of computer he is using
how long it takes him to type a page of technical writing
how much he charges for a page of technical typing
how wide his margins are

1. 👍 1
2. 👎 0
3. 👁 103
1. To earn money, George types papers for college students. For regular term papers, he charges by the page: \$1.50 each. For scientific and technical papers, he charges more because they take longer to type. If he types forty-five regular pages and thirty-six technical pages, how much will he earn?

What other information is needed to solve this problem?

what kind of computer he is using
how long it takes him to type a page of technical writing
how much he charges for a page of technical typing
how wide his margins are

just answer this one nevermind the rest

1. 👍 0
2. 👎 0
2. you give the rate for regular papers: 1.50 per page
But you need to give the rate for scientific papers.
So, if he charges \$x for those, his total charge will be

45 * 1.50 + 36x

1. 👍 0
2. 👎 0
👨‍🏫
oobleck
3. 1. 27/3 = 9.
9/3 = 3.

2. P = 2L+2W = 20.
A = L*W = 24.
L = 24/W
In Eq1, replace L with 24/W and solve for W:
2(24/W)+2W = 20.
48/W+2W = 20
48+2W^2 = 20W
2W^2-20W+48 = 0
W^2-10W+24 = 0. 24 = -6*-4, sum = -10 = B.
(x-6)(x-4) = 0
W = 6, and 4. Use the larger number, 6.
L*W = 24
L*6 = 24
L = 4 in.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### a

Write the next two terms in the pattern. 9, 27, 81, 243, ___, ___,

2. ### Problem Solving: Writing to Explain

Look at the numbers 13, 15, 19, 25,.... Describe the pattern and how can you find the next tow numbers.

3. ### algebra

what is the 10th term of the sequence 81,27,9 can someone please explain the steps. possible answers; 1/729 1/243 1/81 1/810

4. ### math

75,74,72,69, 65 what is the pattern? waht are the next two numbers in pattern?

1. ### geometry

HELP.... In a certain lottery, 3 numbers between 1 and 9 inclusive are drawn. These are the winning numbers. How many different selections are possible? Assume the order in which the numbers are drawn is not important. Answer

2. ### MATH URGENT

The prime factorization of 243 is 3*3*3*3*3. Write 243 as the product of two powers of 3 in as many ways as possible. Thank you

3. ### arithmetic

what is the pattern 729,243,81,27,

4. ### math

Write the next two terms in the pattern 9, 27, 81, 243 A 261, 279 B 486, 972 This is my answer! C 729, 1458 D 729, 2187

1. ### Math logic and reasoning

1. Tyson was working with square numbers. He noticed a pattern for squaring consecutive numbers that end in 5 note:top column has 5^2,15^2,25^2,35^2 note: Bottom column shows answers of top column so 5^2=25,15^2=225,25^2=625,

2. ### Algebra

Write a function rule to represent the situation: The volume, V, remaining in a 243 ft^3 (cubed) pile of gravel decreases by .2 ft^3 (cubed) with each shovelful, s, of gravel spread in a walkway. I think: V=243 ft^3 - .2 ft^3s

3. ### algerba math

Write the next two terms in the pattern. 9, 27, 81, 243, ___, ___

4. ### Algebra II

write an explicit formula for the sequence then find the fifth term a_1 = 3, r = -3 a. a_n = 3*(-3)^n-1; 243 b. a_n = -3*(3)^n-1; -243 c. a_n = 3*(3)^n; 243 d. a_n = 3*(-3)^n; -729 thank u!!