The new dimensions of the rectangle will be 4.8 x 4.4.
To find the new dimensions, we need to find the area of the original rectangle (2.4 x 2.2 = 5.28), and then multiply it by 16 to find the desired new area (5.28 x 16 = 84.48).
Since the area of a rectangle is determined by the product of its length and width, we can find the new dimensions by taking the square root of the new area and dividing it by the original length.
So, √84.48/2.4 = 4.4 and √84.48/2.2 = 4.8.These are the new dimensions of the rectangle.
We have to make sure that the new dimensions are in the same proportion as the original one, we can use the same factor of multiplying to get the new length and width.
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PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Jessica took out a loan from the bank at a simple interest rate of 4%. After making payments for three years, she paid a total of $840 in interest. What was the principal, or original amount of money, of Jessica’s loan?
$___
Answer:
$7000
Step-by-step explanation:
1. Approach
To solve this problem, one must first find the amount of interest paid in (1) year, then set up a proportion to find out the amount of money that was taken out in the loan. It is given that the interest rate is (4%), and the interest paid after (3) years is ($840).
2.Find the amount paid in 1 year
First, one must find the interest paid in (1) year, this can be done by dividing the interest paid in (3) years by (3).
840 ÷ 3 = 280
3.Find the original amount in the loan
Now set up the proportion, remember, the general format for a proportion is the following,
[tex]\frac{part}{whole}=\frac{percent}{100}[/tex]
Substitute in the given parameters,
[tex]\frac{intereset}{loan}=\frac{rate}{100}[/tex]
Substitute in the values of the parameters,
[tex]\frac{280}{loan}=\frac{4}{100}[/tex]
Cross products,
[tex]28000=4(loan)[/tex]
Inverse operations,
[tex]7000=loan[/tex]
10 Two cyclists are traveling along a track in the same direction. Their motions are described
by the linear equations d = 10t and d-8t= 2, where t hours is the time and d miles is the
distance from a point on the track.
b When will the cyclists meet?
Answer:
They will meet in 1 hour
Step-by-step explanation:
(1) d = 10t
(2) d - 8t = 2 rearrange this equation to: d = 8t + 2
Set equation (1) equal to equation (2):
10t = 8t + 2
Solve for t:
10t - 8t = 2
2t = 2
t = 2/2 = 1 hr
What is the x-coordinate of the solution to the system of
linear equations?
x = 3y - 8
2x + 26 = y
Answer: look at the picture
Step-by-step explanation: Hope this help :D
what 9/2-11/4 plz help i only have 10 mins till due
Answer:
7/4
Step-by-step explanation:
9/2 - 11/4
Get a common denominator of 4
9/2 *2/2 - 11/4
18/4 - 11/4
7/4
Answer:
The answer is 7/4
Step-by-step explanation:
9/2 - 11/4
Here, we will Cross Multiply
9/2 - 11/4
9 × 4 - 11 × 2 ÷ 4 × 2
36 - 22 ÷ 8
14 ÷ 8 = 7/4
Thus, The answer is 7/4
-TheUnknownScientist
Easton mixed 3/2kg of flour with 1/6 kg of sugar. Determine a reasonable estimate for the amount of flour and sugar combined
Answer:
10/6kg
Step-by-step explanation:
Given data
Amount of flour= 3/2kg
Amount of sugar= 1/6kg
The combined mixture is
=3/2+1/6
=9+1/6
=10/6kg
Hence the combined amount is 10/6kg
28. Anael cut several boards to build a deck.
The boards must be 100 in. ± 0.25 in. Her
measurements of the boards after cutting
them are shown in the graph. Which boards,
if any, can she not use?
Anael can not use the fourth board measurement. This can be solved by using the concept of inch scale.
What is inch scale?A centimeter is smaller than an inch. On the other side of the centimeter ruler, inches are denoted by the large, continuous hash marks that are inscribed above the digits. On a ruler, the inch is the largest unit and is denoted by the longest line. There is a number next to each 1-inch line on the ruler that designates.
Since the international yard was adopted in the 1950's and 1960's, standards for the precise length of an inch have fluctuated, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
The question given here,
the first board measurement: [tex]99\frac{3}{4} =[/tex] 99 inch ± 0.75 inch
the second board measurement: [tex]99\frac{7}{8} =[/tex] 99 inch ± 0.875 inch
the third board measurement: [tex]100\frac{1}{6} =[/tex] 100 inch ± 0.16 inch
the fourth board measurement: [tex]100\frac{5}{16} =[/tex] 100 inch ± 0.3125 inch
the fifth board measurement: [tex]99\frac{13}{16} =[/tex] 99 inch ± 0.8125 inch
Thus, Anael can not use the fourth board measurement.
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4. Which of these is NOT involved in proving the converse of the Pythagorean theorem?
Ocollecting like terms and applying the distributive property
substitution and construction
congruent triangles
substitution and contradiction
The option that is not involved in proving the converse of the Pythagorean theorem is D. substitution and contradiction
What is a Pythagoras theoremA right triangle's three sides are related in Euclidean geometry by the Pythagorean theorem, also known as Pythagoras' theorem. According to this statement, the areas of the squares on the other two sides add up to the area of the square whose side is the hypotenuse.
The converse of Pythagoras' Theorem states that a triangle must have a right angle if the square of one side equals the sum of the squares of the other two sides.
In this case, contradiction isn't involved. The correct option is D.
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A line is drawn through (-4, 3) and (4,3). Which describes whether or not the line represents a direct variation?
The line represents a direct variation because - -
The line represents a direct variation because it is horizontal.
The line does not represent a direct variation because it does not go through the origin.
The line does not represent a direct variation because 4(3) = 4(3).
Answer:
The line does not represent a direct variation because it does not go through the origin.
Is 4 ÷ 1 positive or negative?
Answer: positive
Step-by-step explanation:
4/1=4
Answer:
Positive!
Step-by-step explanation:
4 ÷ 1 = 4 hope that helps!
What is the length of the line?
Choose 1 answer:
pls i suck when it comes to this
Step-by-step explanation:
You only Sent Options... Can't see no question there
sry not problem you sent options
Melanie bought a soft drink for 4 dollars and 5 candy bars. She spent a total of 29 dollars. How much did each candy bar cost? What is the equation for the problem?
Answer: Each candy bar cost's $5
Step-by-step explanation:
Equation is 4+ 5x=29
-4 -4 which makes it
5x= 25 then you divide by 5
which makes it x=5 so it costs 5 $ per candy bar
Write the expression. Then, check all that apply.
six times the sum of nine and a number
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries six, times, the sum of, nine, a number. Column 2 is labeled Replace with entries 6, times, (+), 9, n.
Replace “a number” with the variable, n.
The two operations are multiplication and addition.
The two operations are multiplication and subtraction.
The constants are 6 and 9.
The expression is written as 6n + 9.
The expression is written as 6(9 + n).
Answer:
A , B , D , F
Step-by-step explanation:
Answer:
a. Replace "a number" with the variable, n.
b. The two operations are multiplication and addition.
d. The constants are 6 and 9.
f. The expression is written as 6(9 + n).
Step-by-step explanation:
PLS HELP I WILL GIVE BRAINLIEST TO THE BEST CORRECT ANSWER
Answer:
Step-by-step explanation:80085
Answer:
Graph 1: No
Graph 2: No
Graph 3: No
Graph 4: Yes
Graph 5: No
Graph 6: Yes
Step-by-step explanation: To figure out whether a graph is a function, you need to give each graph a Vertical Line Test. All you need to do is see if more than one point is on the same line whenever a vertical line is placed. If there is more than one point on any vertical line that you drew, it's not a function.
Hope this helps! :)
quadratic expression x² +6x +5
Answer:
if its for factor, we have (x+1)(x+5), if its for formula, its x=-1, -5
Step-by-step explanation:
Cara randomly chose a date in the month of
June then a letter in the word MATHLETE.
What is the probability she got a date that is
a multiple of 5, followed by a vowel?
A. 13/48
B. 3/10
C. 5/24
D. 3/40
Answer: D. 3/40
Step-by-step explanation:
There is a 6/30 chance that Cara got a date that was a multiple of 5 since there are 6 multiples of 5 in a matter of the 30 days of June (5, 10, 15, 20, 25, 30). There is also a 3/8 chance that she will chose a vowel in the word MATHLETE since there are 3 vowels within these 8 letters (A, E, E). With this information, you must multiply the fractions of 6/30 and 3/8 together in order to find the probability of chosing both a multile of 5 as well as a vowel. This can be done by multiplying the numerators together and the denonimators together and then simplifying the fraction to receive an answer of 3/40.
Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. -2 1 1 - 4 3 4 ; 2 = -1,4 -2 2 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. For P=___ D= 0 4 0 0 0 4 -1 0 0 O B. For Pa = ___ D = 0 -1 0 0 04 OC. O The matrix cannot be diagonalized.
The correct answer is option A. For P= -1/2 0 1/2 1/2 0 -1/2 0 0 1 D= 0 4 0 0 0 4 -1 0 0. The matrix can be diagonalized using the eigenvectors.
To diagonalize the matrix, the eigenvectors must be found first. The eigenvectors can be found by solving the characteristic equation and finding the eigenvalues. The eigenvalues of the matrix are 2 and -1. The eigenvectors associated with each eigenvalue are determined by solving the eigenvalue equation.
The eigenvectors for the matrix are [1, -2], [1, 2], [1, 0], and [0, 1]. After the eigenvectors are found, the matrix can be diagonalized by constructing the transformation matrix P. The transformation matrix P is composed of the normalized eigenvectors. The transformation matrix P is: P=[-1/2, 0, 1/2, 1/2, 0, -1/2, 0, 0, 1], and the diagonal matrix D is composed of the eigenvalues.
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What is the diameter of a circle with circumference 17.1cm? Give your answer to three significant figures.
Answer:
34.2
Step-by-step explanation:
Solve the Linear system by using substitution.
y= -3x -1
4x+3y=2
The solution for the given system of equations is (-1, 2).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of linear equations are y=-3x-1 ------(I) and 4x+3y=2 ------(II).
Substitute y=-3x-1 in equation (II), we get
4x+3(-3x-1)=2
4x-9x-3=2
-5x=5
x=-1
Substitute x=-1 in equation (I), we get
y=-3(-1)-1
y=2
Therefore, the solution for the given system of equations is (-1, 2).
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2. A square playground has a side which measures 40 metres. What is its area?
The area of a square playground which has a side measures 40metres would be 100[tex]m^2[/tex].
How to calculate area?step1
Perimeter of square = 40m
We have given that perimeter of square is 40m. To find its area, we have to calculate its side first.
Perimeter of square = 4× side
Substituting values in formula
Area of square = 4 × side
=> 40 = 4 × side
=> side = 40÷4
=> side = 10m
Side of square is 10m.
step 2
Calculating area of square :
We found that side of square is 10m. To find it area, required formula is:
Area of square = (side)²
To find area, substitute values in formula :-
Substituting values in formula :-
Area of square = (side)²
=> Area of square = (10)²
=> Area of square = 10 × 10
=> Area of square = 100m
so if the perimeter of square is 40m then the area is 100m.
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solve for x when c-b=1
Answer:
you need to give the question
Step-by-step explanation:
there is no question
Maurice finished 12/25 of his book. He says he is more than halfway done with his book. Is he correct or incorrect? Explain.
Answer:
He is incorrect. If you want 12 to be half of the book the other number would have to be twenty four.
Answer:
incorrect
Step-by-step explanation:
it has to be 12.5 to be exactly half way done with it
What are 2 examples of a solution?
The two examples of the solution are sugar water, and soda water.
The term solution is defined as a homogeneous mixture of two or more components in which the particle size is smaller than 1 nm.
Here according to the definition of solution, here we know that Common examples of solutions are sugar in water and salt in water solutions, soda water, etc.
As we all know that the solutions have two components, one is solvent and the other is solute.
Here the components, that is the component that dissolves the other component is called the solvent where as the component(s) that is/are dissolved in the solvent is/are called solute(s).
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Find the length of side x in simplest radical form with a rational denominator.
45°
X
V6
Answer:
x = 6
Step-by-step explanation:
An art store manager buys easels for 10.20 each. He marks up the cost by 75% to get the selling price. What is the selling price of each easel
Answer:
17.85
Step-by-step explanation:
175% * 10.20 = 17.85
9y -2x=1 solve for Y
Answer:
y = 1/9 + 2/9x
Step-by-step explanation:
9y - 2x = 1
9y = 1 + 2x (get rid of x)
y = 1/9 + 2/9x (divide 9 on both sides)
What is included in an individual's personal assets 3 options?
Three options which are included in an individual's personal assets are cash amount , property in any form and any other investment which can be converted cash in future.
Individual personal assets are defined as the things which represents some value in the present and future time.Three options which represents the individual personal assets are cash amount , property in any form, and the investment converted into cash.Cash amount already represents the physical value for the present and future use.Property in any form can be converted into cash in present and future use.Investment can be in many form such as policies , electronics items, jewelry and many other options can easily be converted into cash for present and future use.Therefore, the three options representing the individuals personal assets are cash amount, property in any form, and investment converted into cash.
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Person A buys 10 granola bars and 6 cups of yogurt for $18. Person B buys 5 granola bars and 4 cups of yogurt for $9.50. Find the cost of each item.
Answer:
granola bar: $1.50yogurt: $0.50Step-by-step explanation:
You want the cost of each item when person A buys 10 granola bars and 6 cups of yogurt for $18, and person B buys 5 granola bars and 4 cups of yogurt for $9.50.
EquationsThe equations describing the relations can be written ...
10g +6y = 18 . . . . . . . person A's purchase
5g +4y = 9.50 . . . . . . person B's purchase
SolutionSubtracting half of the first equation from the second, we find ...
(5g +4y) -1/2(10g +6y) = (9.50) -1/2(18)
y = 0.50 . . . . . . . . . . simplify
Substituting this into the first equation gives ...
10g +6(0.50) = 18
10g = 15 . . . . . . . . . . subtract 3
g = 1.50 . . . . . . . . . divide by 10
Each granola bar costs $1.50; each cup of yogurt costs $0.50.
__
Additional comment
The attachment shows the solution found using a calculator to find the reduced row-echelon form of the augmented coefficient matrix. The variable values are in the right column of the reduced matrix. This tells us granola bars are $1.50, and yogurt cups are $0.50, as we found above.
If a rectangle with dimensions 14cm X 20cm is reduced by a scale factor of 2.5, what would be the measure of the new perimeter?
Answer:
27.2 cm
Step-by-step explanation:
14 cm / 2.5 = 5.6 cm, and
20 cm / 2.5 = 8 cm.
Then the new perimeter would be P = 2L + 2W, or, in this case:
P = 2(8 cm) + 2(5.6 cm) = 27.2 cm
Determine the area of the figure on the coordinate grid. Round to the nearest hundredth if needed
Answer:
72 square unitsStep-by-step explanation:
Consider the figure as the difference of a trapezoid and a rectangle.
Area of the trapezoid:
a = 3 - (-2) = 5 unitsb = 9 - (-6) = 15 unitsh = 5 - (-5) = 10 unitsA = (a + b)h/2 = (5 + 15)(10)/2 = 100 square unitsArea of the rectangle:
l = 5 - (-2) = 7 unitsw = -1 - (-5) = 4 unitsA = lw = 4*7 = 28 square unitsArea of the figure:
100 - 28 = 72 square unitsPls help and round to the nearest 0.01
Answer:
Step-by-step explanation:
SA for a sphere = 4pi(radius)^2
V for a sphere = 4/3pi(radius)^3
A golf ball is a sphere and its radiusm is 1.68/2 = 0.84 in.
So SA = 4pi(0.84)^2 = 8.87 in^2
V = 4/3pi(0.84)^3 = 2.48 in^3