The two angles given, X and 2x are supplementary angles which when added together need to equal 180 degrees.
Set up an equation to solve for x:
x + 2x = 180
Simplify:
3x = 180
Divide both sides by 3:
x = 180/3
x = 60 degrees.
The relation R is shown in the table below.
*
Y
-
35
-1 | 2
1
- 1
_
14
-1
Domain:
Range:
Answer:
(Insert table here)
Domain: {-3,-1,1}
Range: {-1,2,4,5}
The relation Q is described as a list of ordered pairs, shown below.
Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }
Domain: {-2,-1,0,4}
Range: {-2,2,3,4}
Step-by-step explanation:
Because its the answer
The Domain: {-3,-1,1} and Range: {-1,2,4,5}
What is domain and range?Domain – All of the values that go into a relation or a function are called the domain.
Range – All of the entities (output) which emerge from a relation or a function are called the range.
All input values that are used (independent values) forms the Domain set.
All output values that are used (dependent values) forms the Range set.
Example: Given Function:- f = 2x+1 , Find the domain, range if 1<=x<=5.
The values of x lies from 1 to 10.
So, domain is {1, 2, 3, 4, 5}.
The values of f obtained by putting domain elements in the function will be range.
So, if x=1 then f = 2(1)+1 = 3,if x=2 then f = 2(2)+1 = 5, if x=3 then f = 2(3)+1 =7, if x=4 then f = 2(4)+1 = 9, if x=5 then f = 2(5)+1 = 11.So, range is {3,5,7,9,11}.
We have relation Q as
Q = { (-2, 4), (0, 2), (-1, 3), (4, -2) }
so, we know domain are the input values
Domain: {-2,-1,0,4}
and range are the output values
Range: {-2,2,3,4}
x+y=-9. 5x-2y=32. elimination using manipulation
Answer:
x=2, y=11.
Step-by-step explanation:
x + y = -9.
5x - 2y = 32 Multiply the first equation by 2:
2x + 2y = -18 Adding the last 2 equations to eliminate y:
7x = 14
x = 2,
Substitute x = 2 in the first equation:
2 + y = -9
y = -9 - 2
y = -11.
a patio has an area of 9 square yards. What is its area in square inches
Blanca eamed $3999.60 after working for 18.5 hours. How much did she earn for
one hour?
Answer: $216.19
Step-by-step explanation:
3999.60/18.5 = 216.19
Hey!
------------------------------------------------
[tex]\large\boxed{214.1945...~or~roughly~214~dollars~an~hour!}[/tex]
------------------------------------------------
Steps To Solve:
~Divide
3999.60 / 18.5 = 214.1945945...
~Round
214.1945945... ≈ 214
------------------------------------------------
Hope This Helped! Good Luck!
b) Mr. Wonderful has called on these students in class:
boy, boy, girl, boy, girl, boy, girl, girl, boy, boy
Based on this data, what is the probability that the next student called on
Sally has a savings account. She
deposited $200 into her savings
account last year and has been taking
out $10 monthly to go to the movies.
Sally now was $80 in her account. How
many months has she been
withdrawing money?
Anna's running time for a race was 23.1 seconds.Another runner's time was 5.86 seconds faster.Find the other Runners time
Answer:
17.24
Step-by-step explanation:
Simple subtraction of decimals because the other runner was faster:
23.10
-5.86
=
17.24
The other Runner's time is 17.24 seconds.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that Anna's running time for a race was 23.1 seconds
And another runner's time was 5.86 seconds faster
It took Anna 23.1 seconds to complete a race.
Since the other runner was quicker,
So we did a simple decimal subtraction,
⇒ 23.10 - 5.86
⇒ 17.24
So, It took other runners 17.24 seconds to complete a race.
Hence, the other Runner's time is 17.24 seconds.
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What's the difference between a rational number and an irrational number. Give one example of each.
Answer: A rational number is any value that can be expressed as a ratio of two integers. An irrational number is any value that cannot be expressed as a ratio of two integers.
Rational 4 and 1/4
Irrational π and √3
If a number can be written in the form of the fraction of p and q then that number is known as the rational number whereas a number is not written in the form of the fraction p and q then that number is known as the irrational number.
Rational Number - If a number can be written in the form of the fraction of p and q then that number is known as the rational number, that is:
[tex]\rm Rational \;Number = \dfrac{p}{q}[/tex]
Where q is the denominator and p is the numerator.
For example - [tex]\dfrac{4}{3}[/tex] , [tex]\dfrac{1}{4}[/tex] , etc
Irrational Number - If a number is not written in the form of the fraction p and q then that number is known as the irrational number, that is:
[tex]\rm Irrational \;Number \neq \dfrac{p}{q}[/tex]
Where p is the numerator and q is the denominator.
For example - [tex]\pi, \sqrt{3}[/tex], etc
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The current value of a baseball card is 60 times its original value v
(in dollars). The baseball card is worth $15. Write and solve an equation to find the original value of the baseball card.
At 7:17AM this morning, it was 83˚F outside. What is 83˚F in Celsius? What is 83˚F in Kelvin?
Answer: 28.33 Celsius and 301.483 Kelvin
83°F − 32) × 5/9 = 28.333°C
(83°F − 32) × 5/9 + 273.15 = 301.483K
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend.
Answer:
.25x+1.75=15 and x=53
Step-by-step explanation:
first subtract 1.75 from both sides
then divide by .25 on both sides
and you will get x=53
Write 454.12kg with 3 significant
Answer: 454
Step-by-step explanation:
The first three digits will be the significant digits. Round the third digit.
454.12
the digit and the 4 is 1 so 454.12 is rounded to 454
Simplify the expression. Write your answer as a complex number.
please help
Henry can write 5 pages of his novel in 3 hours. At this rate, how many pages can Henry write in 8 hours?
Given that Henry can write 5 pages in 3 hours, his rate is 5/3 pages per hour. Multiplying this rate by 8 hours, we get approximately 13.33 pages. Therefore, Henry can write approximately 13 to 14 pages in 8 hours at the given rate.
Explanation:The subject of this question is mathematics, specifically, it is dealing with the concept of rates. Given that Henry can write 5 pages in 3 hours, we can set up a rate, which is simply a ratio that compares quantities in different units. So, Henry's rate of writing is 5/3 pages per hour.
To find out how many pages Henry can write in 8 hours at this rate, we multiply his rate (5/3) by the number of hours (8 hours). So, (5/3) x 8 = 40/3 = 13.33. However, since we cannot have a fraction of a page, we can round this to 13 pages for a conservative estimate or to 14 pages for a liberal estimate.
So, at the rate given, Henry can write approximately 13 to 14 pages in 8 hours.
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Henry can write approximately 13.33 pages in 8 hours.
Explanation:To find out how many pages Henry can write in 8 hours, we can set up a proportion using the given information.
Since Henry can write 5 pages in 3 hours, we can write the proportion as 5/3 = x/8.
To solve for x, we can cross multiply and then divide to find that x = 40/3.
So, Henry can write approximately 13.33 pages in 8 hours.
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Matthew built 30 toys airplanes in 5 hours. What was Matthew’s unit rate for building the airplanes?
What is the rate of 28/22
How much is 22 out of 28 written as a percentage? Convert fraction (ratio) 22 / 28 Answer: 78.571428571429%
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What is the solution
y = 1/2y-6
X=-4
What is 204 divided by 9 in long division
Answer: the answer is 22 with a remander of 6
Step-by-step explanation:
The elevation of your plot of land is 2 feet below sea level. You add 7 feet of dirt to your land. What is the new elevation of your land?
Answer: 5
Step-by-step explanation: -2+7=5
when the signs are different you subtract and when the signs are the same you add. Then you keep the sign of the bigger number.
For which of the following equations is (-4,-3) not a solution?
A.) 5x+2y=-26
B.) y=1+x
C.) 2y-3x=6
D.) -3x=4y
Answer:
D.) -3x = 4y
Step-by-step explanation:
[tex] -3(-4) ≠ 4(-3) \\ \\ 12 ≠ -12[/tex]
I am joyous to assist you anytime.
The point (-4,-3) is not a solution to both Equation C: 2y-3x=6 and Equation D: -3x=4y. This is determined by substituting x with -4 and y with -3 in each equation and checking if the equation is balanced.
Explanation:To find which equation (-4,-3) is not a solution to, we substitute x with -4 and y with -3 into each equation, then see if both sides of the equation are equal.
For equation A: 5(-4) + 2(-3) equals -20 - 6, which is -26. So, (-4,-3) is a solution to this equation.For equation B: -3 equals 1 + (-4), which is -3. So, (-4,-3) is also a solution to this equation.For equation C: 2(-3) - 3(-4) equals -6 + 12, which equals 6. This equation does not equal 6. Therefore (-4,-3) is not a solution to this equation. For equation D: -3 equals 4*(-4), which is -16. This equation does not equal -16. So, (-4,-3) is also not a solution to this equation.So, (-4,-3) is not a solution to both Equation C: 2y-3x=6 and Equation D: -3x=4y.
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find the area of of the rectangle with the given base and height.
2ft 4in
ANSWER IN INCHES
Answer:8in
Step-by-step explanation:
You will multiply 2in•4in=8in
What is the absolute value of -|-7 3/5|
Answer:
7 3/5
Step-by-step explanation:
The absolute value is never a negative.
Ex: What is the absolute value of -37
A. 37
I have no clue how to do this. Help.
Answer:
i think its x = -880
Step-by-step explanation:
so the triangle equals 180 degrees so you would put (x + 10) + (x + 20) + 50 = 180 and solve the equation. i might be wrong but i think thats how
which of the following is equivalent to the equation 4x+7y=z?
The equivalent expression is: B. y = ((z + 4x)) / 7
To find an equation equivalent to 4x + 7y = z, we want to isolate one of the variables (either x or y on one side of the equation.
Let's isolate x in terms of y and z:
Starting with 4x + 7y = z, subtract 7y from both sides:
4x = z - 7y
Now, divide both sides by 4 to solve for x:
[tex]\[x = \frac{z - 7y}{4}\][/tex]
Therefore, the correct choice is option B: [tex]\(x = \frac{z - 7y}{4}\)[/tex].
Complete question:
Which of the following is equivalent to the equation 4x+7y=z ?
A. x=4z-28y
B. x= ((z-7y))/4
C. y=7z+28x
D. y= ((z+4x))/7
the number 1 is it's own multiplicative inverse. name another number with this property.
The number -1 is its own multiplicative inverse, just like the number 1, because multiplying -1 by itself results in 1.
The number 1 is indeed its own multiplicative inverse because when you multiply it by itself, you get 1. The property of a number being its own multiplicative inverse means that the number multiplied by itself equals 1. There is another number with this property, which is -1. When you multiply -1 by itself (-1 x -1), the result is 1. Therefore, -1 is also its own inverse when it comes to multiplication.
This concept is rooted in the properties of identity elements and inverses within the mathematical field of abstract algebra. When considering the set of numbers 1 and -1, they form an abelian group under the operation of multiplication. In this group, every element is its own inverse, and the identity element for multiplication is 1, as any number multiplied by 1 yields the original number.
Express each decimal as a fraction in lowest terms.
0.64
Answer:
16/25
Step-by-step explanation:
16/25 is equel to 0.64
Have a beatiful day!
so what is the square root of 81
Answer:
The 2nd root of 81, or 81 radical 2, or the square root of 81 is 9.
HOPE THIS HELPED!!!!!!!!!!!!! XDDDDDDDDD
What is the LCM of 36 and 108?
Answer:
Answer is 108
Step-by-step explanation:
See answer in above picture or attachment
The least comm multiple for 36 and 108 is 108. This is because 36 is already a multiple of 108 so it will be the least common multiple between both numbers.
Please answer this correctly
Answer: Steven
Step-by-step explanation: Steven lives further away from the park than anyone else.
Answer:
Steven
Step-by-step explanation:
I am going to use > and < signs to solve the problem.
From the first sentence,
Allie < Steven but Allie > Layla, so
Layla < Allie < Steven
From the second sentence,
Dave < Layla, so
Dave < Layla < Allie < Steven
Steven lives farther from the park
Can someone please do 1,2 and 3 please
Answer:
1. x= -1, -5
2. x= 9, -15
3. x= 3. -3
Step-by-step explanation: