To find the dimensions of the page that will use the least amount of paper, we need to consider the total area of the page and subtract the area of the margins. Set up an equation to represent the given information and solve for the dimensions of the page.
Explanation:To find the dimensions of the page that will use the least amount of paper, we need to consider the total area of the page and subtract the area of the margins. Let's assume the width of the page is x inches. The total area of the page is then x(x+3) square inches (length times width). The area of the margins at the top and bottom is 2(x+3) square inches (width times depth), and the area of the margins on each side is 3(x) square inches (length times width). We can set up an equation to represent the given information: x(x+3) - 2(x+3) - 3(x) = 64. Simplifying this equation will give us the dimensions of the page that will use the least amount of paper.
Learn more about Dimensions of a rectangular page here:https://brainly.com/question/30065984
#SPJ3
what is 50/12 in a mixed number
A country has a Gross Domestic Product (GDP) of $225. If the GDP deflator is 3, what would be the real GDP of the country? The real GDP of the country is
A. $225
B. $150
C. $200
?PLEASE HELP!!!!
The table shows the relationship between the number of bracelets made and the number of beads used: Number of bracelets Number of beads 3 24 5 40 7 ? 9 72 The number of beads used to make 7 bracelets is _______.
The number of beads used to make 7 bracelets will be equal to 56 beads.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the data given in the question,
Three bracelets have 24 beads, so start with the lowest number. Finding out how often beads are on a single bracelet will help you locate the solution the quickest. We shall know the answer on 24/3.
24/3=8.
Then multiplying 56 by 7 to get.
Then confirm that your response still makes sense.
3 x 8 = 24
5 x 8 = 40
7 x 8 = 56
9 x 8 = 72
To know more about arithmetic operations:
https://brainly.com/question/25277954
#SPJ2
Hat is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)?
Write the standard form of the line that contains a slope of -1/2 and y intercept of 1
(f) how many ways are there to place a total of m indistinguishable balls into n distinguishable urns, with some urns possibly empty or with several balls?
The scale on a map of Texas shows that 1 inch represents 20 miles. The actual distance from Austin to Dallas is 195 miles. On the map, how many inches apart are the two cities?
To calculate the map distance between Austin and Dallas with a scale of 1 inch representing 20 miles, and an actual distance of 195 miles, set up a proportion and solve to find that Austin and Dallas would be 9.75 inches apart on the map.
Explanation:To find out how many inches Austin is from Dallas on the map, we need to set up a proportion. The scale given on the map is 1 inch represents 20 miles. We know the actual distance between Austin and Dallas is 195 miles. To calculate the distance on the map, we use the proportion 1 inch / 20 miles = x inches / 195 miles.
Cross-multiply to solve for x:
(1 inch) * (195 miles) = (20 miles) * (x inches)
195 inch-miles = 20x inch-miles
Now, divide both sides by 20 miles to solve for x:
x = 195 inch-miles / 20 miles
x = 9.75 inches
So, on the map, Austin and Dallas would be 9.75 inches apart.
does anyone know
2x=8y=7
4x-2y=9
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on monday and 65 on wednesday . Write and solve an inequality to find out how many blankets the team has to collect on friday?
Answer:
Atleast 53
Step-by-step explanation:
We are given that your basketball team has a goal to collect atleast 160 blanket for a shelter.
Team member bought blankets on Monday =42
Team member bought blankets on Wednesday=65
We have to write an inequality and find the number of blankets has to collect on Friday.
Let x be the number of blankets bought by team members on Friday
According to question
[tex]42+65+x \geq 160[/tex]
[tex]107+x \geq 160[/tex]
Subtract 107 on both sides
[tex]107-107+x\geq 160-107[/tex]
[tex]x\geq 53[/tex]
Hence, team members bought atleast 53 blankets on Friday .
What is a methodical step by step procedure that guarantees solving a problem?
What is 42/100 simplified?
What is the sine of angle a?
a. 12/13
b. 5/13
c. 5/12
d. 13/12
The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.
Which statement correctly describes the relationship between △DEF and △D′E′F′ ?
the triangles are congruent because △D′E′F′ is a rotation of △DEF , and a rotation is a rigid motion.
The triangles are congruent because △D′E′F′ is a reflection of △DEF , and a reflection is a rigid motion.
The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
The triangles are not congruent because △D′E′F′ is a translation of △DEF , and a translation is not a rigid motion.
5x-4(2x+11)=13
solve for x
show all work please
-4.31 x 3.09 + (-0.98)
Which figure shows how a shape can be rotated about an axis to form the given object?
The figure that shows how a shape can be rotated about an axis to form a disc is (c) rectangle
How to determine the figure?The shapes in the figures are given as:
A. Rectangle
B. Semicircle
C. Inscribed semicircle
D. Another Rectangle
When the first rectangle is rotated about the axis, it forms a spiral shape
Rotating a semi-circle and the inscribed semi-circle about its axis would form a hemisphere
However, when a rectangle that has one of it sides on the axis is rotated, it forms a cylinder or disc
Hence, the figure is (d) rectangle
Read more about rotation at:
https://brainly.com/question/4289712
What is the equation of a line passing through the points 6,3 and -4,3 so y=?
Answer:
y=3
Step-by-step explanation:
The required line will be y = 3 which is passing through points (6,3) and (-4,3)
What is the slope of the line?The slope of the line is defined as the gradient of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
To determine the line of passing through points (6,3) and (-4,3)
We have been given two points :(6,3) and (-4,3)
Let the required line will be:
(y - y₁) = [(y₂ - y₁)/(x₂ -x₁ )](x -x₁ )
Here
x₁ = 6, y₁ = 3
x₂ = -4, y₂ = 3
(y - y₁) = [(y₂ - y₁)/(x₂ -x₁ )](x -x₁ )
Substitute values in the above formula
(y - 3) = [(3 - 3)/(-4 -6 )](x -6 )
(y - 3) = [(0)/(-10 )](x -6 )
(y - 3) = 0
y = 3
Therefore, the required line will be y = 3
Learn more about the line of the equation here:
brainly.com/question/14511992
#SPJ5
Two of the angles in a parallelogram measure 5x° and 7x°. what is the value of x?
The value of x is 15.
What is parallelogram?"It is a quadrilateral with opposite sides parallel.""The opposite angles of parallelogram are equal. "For given question,
Two of the angles in a parallelogram measure 5x° and 7x°
The measure of an angle opposite to 5x° is also 5x°
Similarly the measure of an angle opposite to 7x° is also 7x°
So, we have the four angles of parallelogram as 5x°, 7x°, 5x°, 7x°
We know, the sum of all angles of quadrilateral is 360°
⇒ 5x° + 7x° + 5x° + 7x° = 360°
⇒ (5 + 7 + 5 + 7) x = 360
⇒ 24x = 360
⇒ x = 15
Therefore, the value of x is 15.
Learn more about parallelogram here:
https://brainly.com/question/1563728
#SPJ3
If 2x-5=10, then 2x=
Write each rational number as a repeating decimal.
1. -7/9
2. 11/15
3. 8/3
Final answer:
To write a rational number as a repeating decimal, perform long division. -7/9 as a repeating decimal is -0.7777..., 11/15 is 0.7333..., and 8/3 is 2.6666...
Explanation:
To write a rational number as a repeating decimal, you need to perform a long division. Let's go through each of the given rational numbers:
1. -7/9
When you divide -7 by 9, you get -0.7777… with the 7s repeating. So, -7/9 as a repeating decimal is -0.7777…
2. 11/15
When you divide 11 by 15, you get 0.7333… with the 3s repeating. So, 11/15 as a repeating decimal is 0.7333…
3. 8/3
When you divide 8 by 3, you get 2.6666… with the 6s repeating. So, 8/3 as a repeating decimal is 2.6666…
classify each pair of labeled angles as complementary, supplementary, or neither.
Answer: supplementary, complementary, neither.
Step-by-step explanation:
Solve fro the Equation below:
7+2(x-3)=-3(x+1)-4
Graph the following inequality and then select the correct graph below. x + y < 1
( first answer choice is a dotted vertical graph shaded down)
(second answer is a vertical line graph shaded up)
plsss help
Answer:
Given inequality,
[tex]x+y<1[/tex]
For graphing the inequality :
The related equation of the given inequality,
x + y = 1
Having the x-intercept = (1,0),
y-intercept = (0,1),
Also, at (0,0),
0 + 0 < 1 ( True )
⇒ The area of the given inequality x + y < 1 must contain the origin.
Now, '<' show the dotted line.
Thus, by the above explanation we can plot the graph of the given inequality.
Two cars leave new york at the same time traveling in opposite directions. one travels at an average speed of 77 mph and the other at 63 mph. in how many hours will they be 280 miles apart?
The number of hours will they be 280 miles apart will be 2 hours.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Two vehicles leave new york simultaneously going in inverse headings. one goes at a typical speed of 77 mph and the other at 63 mph.
The relative speed is given as,
S = 77 + 63
S = 140 miles per hour
The number of hours will they be 280 miles apart will be calculated as,
Time = 280 / 140
Time = 2 hours
The number of hours will they be 280 miles apart will be 2 hours.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ5
solve the equation 17=-13-8x with steps
The solution for given equation 17=-13-8x is x = -15/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
The given equation is,
17 = -13 - 8x
Now to solve the equation following steps are followed :
adding 13 both the sides of the equation,
17 + 13 = -13 - 8x + 13
or, 17 + 13 = -13 + 13 - 8x
Solving them we get,
30 = - 8x
or, - 8x = 30
multiplying -1 both side
- 8x*(-1) = 30*(-1)
Solving them we get,
8x = -30
dividing both side by 2
8x/2 = -30/2
Solving them we get,
4x = -15
dividing both side by 4
4x/4 = -15/4
Solving them we get
x = -15/4
Hence,the solution for given equation 17=-13-8x is x = -15/4.
To learn more about equation :
https://brainly.com/question/22647731
#SPJ2
what is the slope the line cantains the points (-1,2) and (3,3)?
If you have a distribution of 50 scores, and you want 5 intervals, what should be the size of your class interval?
A culture started with 3000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. Use exponential growth formula
Which of these equations describe the line shown below check all that apply . plz don't give me the formula and tell me do it that way I'm not good at math I'll give 5 stars if you just give me the answer thanks
A couch and coffee table cost a total of $1053. The cost of the couch is two times the cost of the coffee table. Find the cost of each item.