The length of a rectangle is three times its width. If the perimeter is 132 inches, what is the length of the rectangle?
1. 48 inches
2. 16.5 inches
3. 49.5 inches
4. 18 inches
Please give an explanation (Do not just give an answer and take points or you will get reported)
Thank you :D
Given the perimeter, the numerical length of the rectangle is 49.5 inches.
Hence, option 3) 49.5 inches is the correct answer.
What is the length of the rectangle?The perimeter of a rectangle is expressed mathematically as;
P = 2( l + w )
Given the data in the question;
Let "x" represent the width of the rectangle.
Width w = xLength l = 3 × x = 3xPerimeter P = 132 inchesTo determine the length of the rectangle, first plug the given values into the formula above and solve for x.
P = 2( l + w )
132 = 2( 3x + x )
Apply distributive property
132 = 2(3x) + 2(x)
132 = 6x + 2x
132 = 8x
8x = 132
x = 132/8
x = 16.5
Now, the length of the rectangle will be;
Length l = 3x
Length l = 3( 16.5 )
Length l = 49.5 inches
Given the perimeter, the numerical length of the rectangle is 49.5 inches.
Hence, option 3) 49.5 inches is the correct answer.
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Construct a sample of 6 measurements whose mean is 15
Answer can not create a sample 2
Step-by-step explanation:
what pair of numbers does the squared root of 23 fall between
Simplify
5^3
5^7
leaving your answer in index form.
5x5=25 , 25x5= 125.
5x5=25, 25x5= 125, 125x5=625, 625x5=3125, 3125x5=15625, 15625x5= 78125.
Answer:
5^10
Step-by-step explanation:
When multiplying exponents with the same base, we add the exponents
5^3 * 5^7
5^(3+7)
5^10
Indiras spring garden has half as many tulips as daffodils and three times as many hyacinths as tulips. If there are a total of 204 flowers in indiras garden, how many of each flower does she have ?
Indira is having 34 tulips, 68 daffodils and 102 hyacinths , altogether 204 flowers in her spring garden.
Given, In Indira's springtime garden, there are three times more hyacinths than tulips and half as many daffodils as tulips.
let the number of tulips be = x
the number of daffodils be = y
the number of hyacinths be = z
hence according to the question,
tulips are (x) = 1/2 (y) = y/2
hyacinths are (z) = 3(x) = 3x
therefore, total flowers = 204
tulips ₊ daffodils ₊ hyacinths = 204
y/2 ₊ y ₊ 3x = 204
substitute x value in the above equation.
y/2 ₊ y ₊ 3(y/2) = 204
take LCM
y ₊ 2y ₊ 3y = 408
6y = 408
y = 408/6
y = 68
hence the number of daffodils is 68.
now substitute y value in x = y/2
x = 68/2
x = 34
now substitute x value in z= 3x
z = 3(34)
z = 102
hence we get the number of tulips,daffodils and hyacinths as 34 , 68 and 102 respectively.
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SOMEONE HELP PLEASE I NEED THIS QUESTION TO BE ANSWERED. PICTURE ALREADY ATTACHED.
Answer: Day 50
:-]
Step-by-step explanation: 20/0.4
Step-by-step explanation:
she starts with 20 pounds of rice (1 bag).
every day she uses 0.4 pounds.
to have 1.6 pounds left means she used 20-1.6 = 18.4 pounds.
so, the question really is : how many days until she used 18.4 pounds ?
that is
18.4 / 0.4 = 46
that means at the end of day 46 she will need to order a new bag.
Part A: What does CPI-W stand for?
Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W) .
Describe the CPI-W?
The Consumer Price Index for Urban Wage Earners and Clerical Workers (CPI-W) is a monthly indicator of how prices for a market basket of goods and services have changed on average over time for urban wage earners and clerical workers.
What distinguishes the CPI-U from CPI-W?
In order to track retail prices as they effect all urban consumers, the CPI-U is a more comprehensive index. It includes around 87 percent of the population of the United States. The CPI-W, a more specialized indicator, tracks retail prices as they relate to hourly wage earners and office workers in metropolitan areas.Learn more about CPI-U
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You have a square blanket that has an area of 64 square feet. What are the dimensions of the blanket (length x width)?
The each side of the square will be 8.
Therefore, the area of a rectangle with a height of 4 cm and a length of 16 cm is 64 cm². Since a square is a rectangle with equal height and width, we need to find a number that when multiplied by itself equals 64... which is the square root of 64. That's 8.8x 8 = 64.
A square is a two-dimensional planar object in geometry that has four equal sides and four equal but 90 degree angles. The characteristics of a rectangle and a square are fairly comparable, however a rectangle only has its opposing sides equal. Therefore, a rectangle is only referred to as a square if its four sides are of the same length.
A square is a quadrilateral with four equal sides and four equal angles that is a regular quadrilateral. The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.
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Lila makes a chart that has 8 tows and 4 columns. How many spaces are in her chart? Explain why Lila can use 8s facts or 4s facts to solve
Based on the fact that Lila made a chart that had 8 rows and 4 columns, the number of spaces in the chart is 32 spaces.
Lila can use 8s factors or 4 factors to solve because both 8 and 4 are factors of 32.
How to find the spaces created?The number of spaces can be found by the formula:
= Number of rows x Number of columns
= 8 x 4
= 32 spaces
Factors of 8 and 4 can be used for 32 because when a number is a factor of another number, then all the factors of the first number, are also the factors of the other number.
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The number0.000000675 can be written in scientific notation as 6.75 x 10x . What is the value of x?
Answer:
-7
Step-by-step explanation:
The decimal 0.000000675 can be written as 6.75 x 10^-7 in scientific notation. To write a decimal in scientific notation, you need to count how many decimal places the decimal needs to be moved in order to get a number with 2 decimals after it (if that makes sense). In this case, you need to move the decimal point 7 places to the right, so the value of x is -7. The x value is negative if you need to move the decimal to the right and positive if you need to move the decimal to the left.
The admission fee to a carnival is $5.00, and each game costs an additional $1.50 to play. The carnival also has a
special admission price of $14 that includes unlimited games. What is the minimum number of games a customer
must play to make the special admission price less than paying for each game separately?
five and five hundred sixty -two thousandths
Five and five hundred sixty -two thousandths written in expanded form, the result is 5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001).
What is expanded form?Writing in expanded form means that we add the digits of a number after they are multiplied by the power of 10 that corresponds with their position.
Tens will be multiplied by 10
Tenths will be multiplied by 0.1
Hundredths will be multiplied by 0.01
Thousandths will be multiplied by 0.001
These numbers are then added to each other.
Five and Five hundred sixty -two thousandths is 5.562 and when written in expanded form it becomes:
5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001)
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Find the sum of 1 2/5 and the product of 3 and 8, and divide the result by 6
is this equivaleent with 9:15?????????????
Answer:yes
Step-by-step explanation:
yes, the ratio 36:60 is equivalent to the ratio 9:15.
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P and Q are points on the line 3y - 4x = 12 a) Complete the coordinates of P and Q. P (0, )) Q (,0) b) Plot points P and Q on the graph. Use the tool to plot the coordinates. c) Draw the line 3y - 4x = 12 for values of x from -3 to 3. -3-2 8 7 6 5 4 3 2 4 O -1 X
a) The coordinates of P and Q are; P = (0 , 4) , Q = ( -3 , 0).
b) The graph of points P and Q is plotted.
c) The line 3y - 4x = 12 for values of x from -3 to 3 is drawn.
What is defined as the coordinates?Coordinates are numerical distances or angles that uniquely defines points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, researchers, and engineers use a variety of coordinate schemes.The equation of line is given as;
3 y - 4 x = 12
a) To calculate the coordinates on the line are P and Q.
Let x = 0
3 y - 4 × 0 = 12
3 y + 0 = 12
y = 4
So, points P = (0 , 4)
Now, For y = 0;
3 × 0 - 4 × x = 12
0 - 4 × x = 12
x = - 3
So, points Q = ( -3 , 0)
Thus, points are P = (0 , 4) , Q = ( -3 , 0)
b) points P and Q on the graph.
The graph of the points P and Q for the coordinates of P = (0 , 4) , Q = ( -3 , 0) is plotted.
c) Draw the line 3y - 4x = 12 for values of x from -3 to 3.
The straight line for the values of x are drawn.
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Solve for x: -x+8=3
Answer:
x=5
Step-by-step explanation:
-x + 8 = 3
-x = 3 - 8
-x = -5
x = 5
Hope this helps :)
Have a nice day!
i don’t understand pls help!!!
The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
l
which one of these are the answer /
0.46 × 109 dollars
2.8756 × 109 dollars
4.6 × 1011 dollars
2.8756 × 1011 dollars
The final answer is 2.8756 × [tex]10^{11}[/tex] is the football team's total payroll than the baseball team's total payroll.
The total payroll for a baseball team is 2.44 × [tex]10^{9}[/tex] dollars
The total payroll for a football team is 2.9 × [tex]10^{11}[/tex] dollars
How many more dollars is the football team's total payroll than the baseball team's total payroll
The total payroll for a football team = 2.9 × [tex]10^{11}[/tex] dollars = 290 × [tex]10^{9}[/tex]
The total payroll for a baseball team = 2.44 × [tex]10^{9}[/tex] dollars
To find the differentiate between foodball team payroll and the baseball team payroll subtract their payroll.
How many more dollars is the football team's total payroll = The total payroll for a football team - The total payroll for a baseball team
How many more dollars is the football team's total payroll = 290 × [tex]10^{9}[/tex] - 2.44 × [tex]10^{9}[/tex] = 287.56 × [tex]10^{9}[/tex] = 2.8756 × [tex]10^{9}[/tex] dollars
The main answer is 2.8756 × [tex]10^{11}[/tex] is the football team's total payroll than the baseball team's total payroll.
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e-395=175
Solve for e
Answer: 220
Step-by-step explanation: 395-175=220
Answer:
e=570
Step-by-step explanation:
570-395=175
literally the hardest question
The amount of money that is invested in the account that yields an 8% interest is $6,050.
The amount of money that is invested in the account that yields a 4% interest is $4,650.
How much was invested in each account?Given these two equations:
x = y + 1400
x - y = 1400 equation 1
0.08x + 0.04y = 670 equation 2
take the following steps to determine the amount of money invested at each interest rate:
Multiply equation 1 by 0.08
0.08x - 0.08y = 112 equation 3
Subtract equation 3 from equation 2
0.12y = 558
Divide both sides by 0.12
y = 558 / 0.12
y = $4,650
x = $4,650 + 1400
x = $6,050
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Find the exact value of each expression if 0° < θ < 90°
A. If cosθ = 5/13, find sin θ.
B. If cosθ = 4, find sec θ.
The values of the trigonometry will be:
If cosθ = 5/13, sin θ = 12 / 13.
If cosθ = 4, sec θ = 1/4.
How to illustrate the information?Adjacent = 5
Opposite = 12
Hypothenuse = 13
It should be noted that cosθ = 5/13. This implies that adjacent / hypothenuse = 5/13.
The sin θ will be:
= Opposite / Hypothenuse
= 12 / 13
When cosθ = 4, sec θ will be the reciprocal. This will be = 1/4.
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Determine the number of proper subsets contained in P if P={x| x is an odd, negative integer and x > −20}.
The number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
How to illustrate the information?It should be noted based on the information, the value of P will be:
= P(x is an odd, positive integer and x < 20}
P = (1, 3, 5, ,7, 9, 11, 13, 15, 17, and 19)
Therefore, it should be noted that there are 10 numbers.
Therefore, the number of subsets will be:
= 2^n - 1
= 2^10 - 1
= 1023
Therefore, the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20} is 1023.
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Determine the number of proper subsets contained in P if P={x| x is an odd, positive integer and x < 20}.
2+2=6 why?
[tex]2 + 2 [/tex]who can answer this?
Answer:
2+2=4, not 6
Step-by-step explanation:
Which is equivalent to 5/−3 ?
The fraction that is equivalent to the given fraction is -5/3
From the question, we are to determine the equivalent form of the given fraction
The given fraction is 5/-3
From one of the properties of fractions, we have that
-x/y = x/-y
Thus,
We can write that 5/-3 is equivalent to -5/3 by the above property.
Hence, the fraction that is equivalent to the given fraction is -5/3
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please help me im so lost
Using it's concepts, the domain of the composite functions are given as follows:
Domain of f(g(x)): x > 0.Domain of g(f(x)): x > 0 and x ≠ 1.What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input of the function.The range of a function is the set that contains all the values of the output of the function.In a graph, the domain and the range are found as follows:
The domain is given by the values of x, present in the horizontal axis of the graph.The range is given by the values of y, present in the vertical axis of the graph.For the composite functions in this graph, we have that:
g(x) is defined only for x > 0, due to the asymptote, hence f(g(x)) will also be defined only for x > 0, meaning that the domain of f(g(x)) is x > 0.f(x) is defined for all real values, assuming all real values expect y = 1 as range. g(x) is defined for all values of x > 0, hence, considering the two restrictions, the domain of g(f(x)) is x > 0 and x ≠ 1.More can be learned about the domain of a relation at https://brainly.com/question/10197594
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8) Consider the following sets,
A = {x | x ≤ N}
B = {x-5 < x < 105, x ≤ R}
C = {x|x is a rational number, 10 < x < 80}
Find the cardinality of the set (A − C) n B.
The cardinality of the set (A − C) n B is 35 .
Cardinality of a set is defined as the number of elements in the mathematical set. It can be finite or infinite. For example, the set A = {1, 2, 3, 4, 5, 6} has cardinality 6. Because the set A has 6 elements. Set cardinality is also known as set size. A real number can be defined as a combination of rational and irrational numbers. They can be both positive and negative, denoted by the symbol "R". Natural number all count numbers starting at 1. N = {1 ,2 , 3 ,4, .....}We have given three sets A = {x | x ≤ N} where N is a natural number .
Then , set A will get values [tex]A= \{1,2,3,4,5......\}[/tex]
B = {x-5 < x < 105, x ≤ R} where R is a real number whose values is in domain of (- ∞ ,∞)
Then , set B will get values [tex]B=(-5,105)[/tex]
C = {x|x is a rational number, 10 < x < 80} rational number which can expressed in [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex] .
Then , set C will get values [tex]=(10,80][/tex]
According to the question
(A − C) n B [tex]=(\{1,2,3,4,5 ........\}-(10,80] \sqcap (-5,105)[/tex]
[tex]=\{1,2,3,4,5,6,7,8,9,10,81,82,83 .......\} \sqcap (-5,105)\\[/tex]
={1,2,3,4,5,6,7,8,9,10,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103, 104 ,105}
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3 and 1/4 + 1 and 1/2
Answer:3 and 1/4 +1 is 4 and 1/4 assuming the and means plus then it’s
4 and 3/4
Does this help?
Step-by-step explanation:
AtNate'sDiner,
7
8
ofthedrinkssoldwerecoffee.AtJeremiah'sPieShop,coffeemadeup528outofevery606drinkssold.Whichrestauranthadagreaterfractionofdrinksthatwerecoffee?
Nate's restaurant sold the greater amount of coffee.
What is Least Common Multiple?The least common multiple of two numbers is the smallest number that is a multiple of both of them.
Given:
Nate's Diner coffee sold = 7/8
and, at Jeremiah's Pie shop
coffee sold = 528 / 606
= 176 / 202
=88/101
Now, making denominator equal by taking LCM(8, 101) which is 808.
So, Nate's coffee's sold = 707 / 808
and, Jeremiah's coffee sold = 704/808
Hence, Nate's restaurant sold the greater amount of coffee.
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Drew dropped the thumbtack 225 times and found that it landed point up 62 times. Drew concluded that the probability the thumbtack lands points up is about what?
Based on the number of times Drew dropped the thumbtack and the number of times it landed point up, the probability that the thumbtack lands points up is 27.6%
How to find the probability?The probability that the thumbtack lands points up can be found by the formula:
= Number of times the thumbtack lands points up / Number of total times the thumbtack was dropped by Drew x 100%
Solving for the probability of a thumbtack landing points up gives:
= 62 / 225 x 100%
= 0.2755556 x 100%
= 27.6%
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10 point for this. Simplify: 3x^2y^4\times 2x^6y
Answer:
[tex]6x^8y^5[/tex]
Step-by-step explanation:
[tex]3x^2y^4 \times 2x^6y \text{ // We should remind ourselves of the rule: }a^m \times a^n = a^{m + n}\\\\\to (3 \times 2)(x^2 \times x^6)(y^4 \times y^1)\\\\\to 6(x^{2 + 6})(y^{4 + 1})\\\\\\\to 6x^8y^5[/tex]