The width of the rectangle is 6 centimeters and the length is 19 centimeters.
Explanation:To find the dimensions of the rectangle, we can assign variables to the length and width of the rectangle. Let's say the width is 'w' centimeters.
According to the information given, the length is '1 + 3w' centimeters. The perimeter of a rectangle is the sum of all its sides, so we can set up the equation: 2(length + width) = 50. Substituting the given expressions for length and width, we have: 2((1 + 3w) + w) = 50. Simplifying this equation, we get: 8w + 2 = 50. Solving for 'w', we find that the width of the rectangle is 6 centimeters. Substituting this value back into the expression for the length, we get: length = 1 + 3(6) = 19 centimeters.Therefore, the dimensions of the rectangle are width = 6 centimeters and length = 19 centimeters.
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What is “Twice a number is more than the sum of that number and 9” written in equation form?
Use the properties of logarithmic functions to simplify the expression on the left side of the equation and determine the values of x and y. Then evaluate the simplified expression.
The value of x is , and the value of y is. The value of the expression, rounded to nearest hundredth, is
By using the logarithmic property the solution of the given function will be 0.43.
What is Logarithm?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
The solution of the given expression is given as:-
Log7(70) - log7(35) = log7(70/35) = log7(2)
Properties of exponents tell us that:
log7(2) / log7(5) = log5(2)
x = 5
y = 2
Answer = 0.43
Therefore using the logarithmic property the solution of the given function will be 0.43.
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A rectangular picture frame measures 10 cm by 12 cm. Do you want to triple the frames area by adding the same distance "x" to the length and the width. Write and solve an equation to find the value of "x". What are the new dimensions of the picture frame?
Of all the students enrolled at Anderson High School, 9, percent are in the band. The band has 1801members.How many students are enrolled at Anderson?
what is 1.23 pounds as an mixed number?
What are the zeroes of f(x) = x2 − 9x + 20?
Divide 3x2 + 6 by 3x – 3.
Which expression represents the quotient and remainder?
x + 3x/3x - 3
x + 1 + 9/ 3x - 3
x - 9x/ 3x - 3
The requried value of the given expression is (x² + 2)/x - 1.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3x² + 6 / 3x - 3
= 3 [x² + 2] / 3 [x - 1]
= x² + 2 / x - 1
Thus, the requried value of the given expression is (x² + 2)/x - 1.
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A company bought a total of 4 1/2 feet of cable to connect 3 computers to the wall outlet. Each computer needs the same amount of cable. How many feet of cable are needed to connect each computer?A.1 1/2 ft B.1/3 ft C.1 1/3 ft D.1/2 ft please help i will mark brainliest
Answer:
A Hope this helps
Step-by-step explanation:
What percent of 225 is 180
how to solve for literal equations with multiple variables
If x , y and z Are whole numbers greater than 2 and If xyz2 = 735 What is the value of x+ y+z
The value of x + y +z is 15.
A type of number that includes the natural number and zero.
It does not include fractions and decimals.
Odd numbers are those real numbers that are not divisible by 2.
The variables x, y, and z are whole numbers.
The value of x, y, and z is greater than 2
xyz² = 735
The value of x + y +z has to be determined.
Let x = 3 ,then by the given statement y = 5 and z = 7
These are odd numbers , greater than 2 and they hav a difference of 2 amongst them.
To check, they should satisfy xyz² = 735
= 3 * 5 * 7²
= 735
So these are the values of the variables and so,
The value of x + y +z is
= 3 + 5 + 7
= 15
It seems that your question is incomplete, the complete question is :
If x , y and z Are whole odd numbers, greater than 2 and the difference between each number is 2. If xyz2 = 735 What is the value of x+ y+z.
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Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.
What is the youngest age Juanita's cousin can be?
Enter your answer in the box.
Write a conditional statement. Write the converse, inverse and contrapositive for your statement and determine the truth value of each. If a statements truth value is false, give a counterexample
Answer:
2022 na wala parin sagot?
Step-by-step explanation:
tsk tsk tsk
kawawi ka naman
F(x)=T-2(X+4)^2 where t is the constant. If f(-8.3)=f(a) and a > 0 what is the value of a ?
We are given the equation:
F (x) = T – 2 (x + 4)^2 ---> equation 1
Since we know that f (-8.3) = f(a) and a>0, therefore from equation 1 we can generate that:
(x + 4)^2 = (a + 4)^2
(-8.3 + 4)^2 = (a + 4)^2
(-4.3)^2 = (a + 4)^2
(a + 4)^2 = 18.49
a + 4 = 4.3
a = 0.3
Find the center and radius for the circle by the equations: x2 + y2 + 5x - y + 2 = 0.
Which algebraic expression models the given word phrase 10 times the sum of a and b?
Answer:
[tex]10(a+b)[/tex]
Step-by-step explanation:
We are asked to write an algebraic expression for the given word phrase.
The sum of 'a' and 'b' would be [tex]a+b[/tex].
10 times the sum of 'a' and 'b' would be 10 multiplied by sum of both 'a' and 'b': [tex]10(a+b)[/tex]
Therefore, our required algebraic expression would be [tex]10(a+b)[/tex].
I can't do this and it's urgent
A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many quarters are there?
Name the property illustrated by each statement:
1. If x+9=2, then x+9-9=2-9
2. If x=3y and 3y=16. then x=16
Final answer:
The first statement demonstrates the Subtraction Property of Equality, and the second statement shows the Transitive Property of Equality, both of which are fundamental in solving linear equations.
Explanation:
The property illustrated by each statement:
If x+9=2, then x+9-9=2-9. This is an example of the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.If x=3y and 3y=16, then x=16. This is known as the Transitive Property of Equality, where if one value equals a second value, and the second value equals a third value, then the first value equals the third value.Understanding these properties helps in solving linear equations and applying basic operations in algebra.
Final answer:
The properties illustrated are the Subtraction Property of Equality and the Transitive Property of Equality, used in solving linear equations.
Explanation:
The question is asking to name the property illustrated by each statement:
Subtraction Property of Equality: If x+9=2, then x+9-9=2-9. This shows that if you subtract the same number from both sides of an equation, the equality is maintained.
Transitive Property of Equality: If x=3y and 3y=16, then x=16. This property states that if one quantity equals a second, and the second quantity equals a third, then the first quantity equals the third.
These properties are fundamental in solving linear equations and are used to manipulate and solve equations for a specific variable.
Given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point? Explain. no; The points must all be collinear to draw a plane. yes; Use the three points provided to draw the plane. yes; Use the third point to create a perpendicular to the line. no; The measurements between the points must be found to be equal.
Yes, it is possible to draw a plane that includes a line and a third point not on the line. In mathematics, a plane can be defined by three points. Therefore, the two points on the line and the third point not on the line can be used to define the plane.
Explanation:Yes, it is indeed possible to draw a plane that includes a line and a third point not on the line. The definition of a plane in mathematics is that it's a two-dimensional surface that extends infinitely along its length and width, which can be defined by three points. Considering you have two points on the line, and a third point that's not on the line, you could use these three points to define your plane. It doesn't matter whether the three points are collinear or not, the plane can still be defined. The key is that you need at least three non-collinear points to define a plane.
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A map is drawn using a scale of 1cm and 80mi. Two cities are 280miles apart. How far are the cities on the map.
which term best describes the intersection of two lines?
a) angle
b) line segment
c) point
d) ray
h(x) = x^2 + 1 k(x) = x – 2
(h + k)(2)=?
Answer: the answer is 5
Step-by-step explanation: edge 2020
A dreidel is a top with four sides, used in a Hanukah game. The sides are labeled with the Hebrew letters, nun, gimel, hay, and shin. A dreidel is spun 100 times, with the following results: nun 10 gimel 45 hay 24 shin 21 A player wins tokens if the dreidel lands on either gimel or hay. What is the probability of winning tokens? a. 0.54 c. 0.69 b. 0.63 d. 0.87
The probability of winning tokens is 0.69. Therefore, the option C is the correct answer.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, dreidel is spun 100 times, with the following results: nun =10, gimel =45, hay =24 and shin =21.
A player wins tokens if the dreidel lands on either gimel or hay.
Here, probability of getting gimel is 45/100
The probability of getting hay is 24/100
So, the probability of an event is 45/100 +24/100
= 69/100
= 0.69
Therefore, the option C is the correct answer.
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Suppose a card is drawn from a deck of 52 playing cards. what is the probability of drawing a 3 or a queen?
Final answer:
The probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards is 2 / 13, or approximately 15.38%.
Explanation:
The question asks for the probability of drawing either a 3 or a Queen from a standard deck of 52 playing cards. There are four 3s and four Queens in a standard deck, making a total of eight specific cards that fulfill our criteria out of 52. To calculate this probability, we divide the number of favorable outcomes (drawing a 3 or a Queen) by the total number of outcomes (total cards in the deck).
The formula for calculating the probability, P(A), of an event A (in this case, drawing a 3 or a Queen) is:
P(A) = Number of favorable outcomes / Total number of outcomes
Therefore, P(3 or Queen) = 8 / 52 = 2 / 13. This simplifies to approximately 0.1538 or 15.38%.
This means that when you draw a card from a standard deck of 52 playing cards, you have approximately a 15.38% chance of drawing either a 3 or a Queen.
Write 506.137 in expanded form.
How many days between 09/26/16 and 10/04/2016?
There are 7 days between September 26, 2016, and October 4, 2016.
To find the number of days between 09/26/16 and 10/04/16, you can follow these steps:
Start Date: September 27, 2016End Date: October 3, 2016Count the days from September 27 to October 3 as the question asks for days between 26 September and 4 October, i.e., days belonging to the interval (26 September,4 October).Let's break it down:
September 27 to September 28: 1 daySeptember 28 to September 29: 1 daySeptember 29 to September 30: 1 daySeptember 30 to October 1: 1 dayOctober 1 to October 2: 1 dayOctober 2 to October 3: 1 dayWhen you add these, the total is 7 days.
Therefore, there are 7 days between 09/26/16 and 10/04/16.
Which of the following shows 12⁄28 written in prime factored form to help in reducing the fraction to simplest form?
The sum of x to the sixth power and 3 times x
If y is directly proportional to x and if y=50 when x=25, find k, the constant of proportionality.