Answer:
-15
Step-by-step explanation:
Italics by itself are comments, italics and underlines are helpful rules, bold highlights little facts.
x-3=-5 : since the expression 'x-3' is being assigned the value '-5'
We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.
(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa).
To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition (in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation). By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once (well not in this equation).
x=-5+3 which is equal to -2.
Hence, x=-2
Now that we know what 'x' is we can work on the other expression: 3x-9
Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.
3(-2)-9=?
(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number).
Therefore, 3×(-2) will equal -6.
-6-9=-15
Hence, 3x-9=-15.
To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.
Here's how that looks: 3x-9 (+9)= -15 (+9).
You would then be left with 3x=-6.
If you remembered the rule typed previously, I said in order to isolate 'x' we do the opposite of the operation. 3x means '3' multiplied by 'x', therefore the opposite of multiplication is division:
3x(÷3)=-6(÷3) ----> 3 divided by 3 equals 1. Anything multiplied by 1 will be equal to itself (x*1= x)
(An asterisk can also symbolise multiplication).
Therefore when 3x is divided by 3, the constants would cancel each other out, 1 would be left looking like this: 1x=... and 1x is the same as x by itself.
-6 divided by 3 is equal to -2 (a positive divided by a negative will always be negative and vice versa).
Hence, x=-2.
The value of the expression 3x - 9 will be - 15 if x - 3 is -5.
What is a numerical expression ?A numerical expression is in the form of numbers and their operations.
According to the given question the expression x-3 has a value of -5.
We have to determine the value of 3x - 9.
Let us solve for x in the equation
x - 3 = -5.
x = -5 + 3.
x = -2.
Putting this value of x in 3x - 9 would result in
3(-2) - 9
= -6 -9
= -15.
This can also be done in a different approach
x - 3 = - 5.
3x - 9 will be if we observe the equation has been multiplied by 3
3x - 9.
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a patio has an area of 9 square yards. What is its area in square inches
Matthew built 30 toys airplanes in 5 hours. What was Matthew’s unit rate for building the airplanes?
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.
the blueprint of a conference room is made using a scale of 2 centimeters to 1 meter. if the drawing shows the room is 12 centimeters long,how long is the actual room
Answer:
6meters
Step-by-step explanation:
Use simple proportion
2cm = 1m
12cm = ?
(12x1)/2 = 6m
Answer: 6m
Step-by-step explanation:
I need help with number 1
Answer:
1a. 0< -4 false
1b. -3> or = -7 true
1c. 4<= -1/2 false
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}
Neeeed help pleaseeeee????
Answer:
Leonard did make an error. He should have multiplied -7 by -5
Step-by-step explanation:
When you multiple a negative by a negative, it is a positive.
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 bowling ball is traveling at 15 mi/h when it hits the
pins. How fast is the bowling ball traveling in feet per
second?
Solve for y 3(2y+5)=33 what do y=
Answer:
y = 3
Step-by-step explanation:
Given
3(2y + 5) = 33 ( divide both sides by the multiplier 3 )
2y + 5 = 11 ( subtract 5 from both sides )
2y = 6 ( divide both sides by 2 )
y = 3
What is equal to 20/40?
Answer:
1/2 is equal to 20/40
that is the answer
20/40
divide the fraction by 20
20/20=1
40/20=2
Answer: 1/2
What is the solution
y = 1/2y-6
X=-4
Simplify the expression. Write your answer as a complex number.
please help
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.
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.
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
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.
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
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
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:
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
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%
Hope this helped! Enjoy! :)
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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There are 15 pieces of fruit in a box . 4 are apples. There are 3 more pears than bananas. How many pears are in the box ?
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
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!
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!
7. Write the number 0.21212121... as a fraction.
Let x =
100x =
100x - x =
99x =
x=
So 0.2121... is equal to
Answer:
21 / 99
Step-by-step explanation:
You want to get rid of the decimals so
Let x = 0.21212121
then 100x = 21.21212121
then 100x - x = 21
99x = 21
x = 21 / 99
So 0.2121... is equal to 21 / 99
To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. The fraction equivalent of the decimal is 21/99.
Explanation:To write the repeating decimal 0.21212121... as a fraction, we can use the method of infinite geometric series. Let x = 0.21212121... . Multiplying both sides of the equation by 100 gives 100x = 21.21212121... . Subtracting the original equation from this, we get 99x = 21, which means x = 21/99. Therefore, the decimal 0.21212121... is equal to the fraction 21/99.
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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