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
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
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. 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.
The missing numbers in the pattern can be found by dividing each number by 3. So, the next three numbers are: 9, 3, 1.
To find the length and width of the rectangle, we can solve a system of equations using the given information.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
We know that the perimeter of a rectangle is given by the formula: perimeter = 2(length + width)
In this case, the perimeter is given as 20 inches. So, we can write the equation as: 2(l + w) = 20.
The area of a rectangle is given by the formula: area = length * width
In this case, the area is given as 24 square inches. So, we can write the equation as: l * w = 24.
We now have a system of two equations:
1) 2(l + w) = 20,
2) l * w = 24.
We can solve this system of equations by substitution, elimination, or graphing. However, in this case, it is simpler to use substitution.
From equation 1, we can rewrite it as: l = 10 - w.
Now substitute this value of l in equation 2:
(10 - w) * w = 24.
Simplifying the equation:
10w - w^2 = 24.
Rearranging the equation:
w^2 - 10w + 24 = 0.
We can factorize this quadratic equation:
(w - 4)(w - 6) = 0.
So, we have two possible solutions: w = 4 or w = 6.
Substituting these values into equation 1, we can find the corresponding lengths:
When width (w) = 4, length (l) = 10 - 4 = 6.
When width (w) = 6, length (l) = 10 - 6 = 4.
Therefore, the length and width of the rectangle are 6 inches and 4 inches respectively.
To find how much George will earn for typing the papers, we need to know the charges for each page of regular and technical typing.
The information provided tells us that for regular term papers, George charges $1.50 per page. However, it does not mention the charge for technical typing.
So, without knowing how much George charges for a page of technical typing, we cannot determine how much he will earn for typing the papers.