Answer:
6
Step-by-step explanation:
Question is: Solve -7(x+6)=4(x+6)
[tex]\huge\boxed{x=-6}[/tex]
Hey there! Our goal here is to isolate the variable on one side of the equation.
[tex]\begin{aligned}-7(x+6)&=4(x+6)&&\smash{\Big|}&&\textsf{Start with the original equation.}\\-7x+(-7)(6)&=4x+4(6)&&\smash{\Big|}&&\textsf{Distribute.}\\-7x-42&=4x+24&&\smash{\Big|}&&\textsf{Multiply.}\\-7x-4x&=24+42&&\smash{\Big|}&&\textsf{Move the terms.}\\-11x&=66&&\smash{\Big|}&&\textsf{Combine like terms.}\\x&=\boxed{-6}&&\smash{\Big|}&&\textsf{Divide both sides by $-11$.}\end{aligned}[/tex]
Answer: The answer is x=–6.
Step-by-step explanation: Step 1: Simplify both sides of the equation:
[tex](-7)(x)+(-7)(6)=(4)(x)+(4 )(6)[/tex] (Distributive Property)
[tex]-7x+-42=4x+24[/tex]
[tex]-7x-42=4x+24[/tex]
Step 2: Subtract 4x by the both sides: [tex]-7x-42-4x=4x+24-4x[/tex]
[tex]-11x-42=24[/tex]
Step 3: Add 42 to the both sides: [tex]-11x-42+42=24+42[/tex]
[tex]-11x=66[/tex]
And step 4: Divide both sides by -11: [tex]\frac{-11x}{-11}=\frac{66}{-11}[/tex], [tex]x=-6[/tex].
I hoped this formula step-by-step is very helpful, please mark me as brainliest, and have a happy holidays! :D
1/3 of the sum of 2 numbers is 20.One of the number is 32.What is the other number?
answer this question for brainliest
Answer:
y = -7x + 26
I checked it on Desmos
A student's work to solve an equation is shown.
9514 1404 393
Answer:
incorrectlyone solutionStep-by-step explanation:
The third line of the solution is incorrect. It should be ...
5x +2 = -5x +2
Then the one solution can be found:
10x = 0 . . . . . . . . . add 5x-2 to both sides
x = 0
Tell a folk story about the history of irrational numbers. Research what is known about irrational numbers, their development, and why they are important.
Answer:
The history of irrational numbers, The discovery of irrational numbers is usually attributed to Pythagoras, more specifically to the Pythagorean Hippasus of Metapontum, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that Hippasus discovered irrational numbers when trying to represent the square root of 2 as a fraction. However Pythagoras believed in the absoluteness of numbers, and could not accept the existence of irrational numbers. He could not disprove their existence through logic, but his beliefs would not accept the existence of irrational numbers and so he sentenced Hippasus to death by drowning. Irrational numbers are important because without it we wouldn't have the continuum of real numbers which would make geometry impossible to do in life.
Step-by-step explanation:
7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a
2
3
4
6
please answer
Answer:
a = 6
Step-by-step explanation:
Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is
P(2) = 2² - 5(2) + a = 0 , so
4 - 10 + a = 0
- 6 + a = 0 ( add 6 to both sides )
a = 6
Write the difference of the given functions (f - g)(x):
f(x) = x² + 2x - 6 and g(x) = x + 5.
Answer:
(f - g)(x) = x² + x - 11
General Formulas and Concepts:
Pre-Algebra
PropertiesAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define
f(x) = x² + 2x - 6
g(x) = x + 5
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute: (f - g)(x) = x² + 2x - 6 - (x + 5)Distribute -1: (f - g)(x) = x² + 2x - 6 - x - 5Combine like terms: (f - g)(x) = x² + x - 11Which team has the best record? Explain how you know. a. Jules' Rules; For every three games that they played, they only lost 1. b. High-5s; For every nine games that they played, they only lost 1. c. Pink Sox; For every four games that they played, they only lost 1. d. Go-Girls; For every ten games that they played, they only lost 1.
Answer:
D. Go-Girls; For every ten games that they played, they only lost 1.
Step-by-step explanation:
They win nine games and lose one
9:1 is the ratio
d. Go-Girls; For every ten games that they played, they only lost 1 and performed the best.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Let, The numerator of a fraction represents the number of games lost and the denominator represents the total number of games played.
Therefore, The fractions that represent this context for all the teams are,
1/3, 1/9, 1/4 and 1/10.
We know the value of a fraction increase with the same numerator and smaller and smaller denominator.
So, The fraction 1/10 has the least value which indicates that it is the best performer.
learn more about fractions here :
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Help Me This Is Multiple Choice
Answer:
The answer is 3, 4, and 6 choices
Step-by-step explanation:
Because its correct
Pls mark me as brainliest
Answer:
It's the 2nd, 3rd, and last box.
1eeeeeeeeeeeeeeeeeeeeeeeee
Sam takes out a $167,000 mortgage for 20 years. He makes monthly payments and at the end calculates that he has paid $240,141 towards the mortgage. What is the approximate APR?
3%
4%
6%
7%
Answer:
About 3%
Step-by-step explanation:
3% of $167,000 is $5,010
5010 times the 20 years is 100200 add that to the 167000 and you get $267,200
The actual answer is about 2.4% but 3% is the closest.
the sum of the interior angles in a pentagon
Answer:
540°
Step-by-step explanation:
When you have a polygon (shape with 3+ sides), you can split the shape into the lowest number of triangles and use that to calculate the interior angles of the shape. Thus works because triangles have angles that always add up to 180°
A Pentagon can be split into 3 triangles minimum, which means you have 180 + 180 + 180. Or...
180 x 3 = 540
PLS HELP I AM RunNInG LOW ON PONITS AND WONT BE ABLE TP REPOst
Answer:
The answer would be D.
Step-by-step explanation:
The local newspaper has letters to the editor from 50 people. If this number represents %8 of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
625 is the correct answer :)
Step-by-step explanation:
hope this help
The newspaper has 625 readers.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
8% = 50 people
Multiply 100/8 on both sides,
100% = 100/8 x 50 people
100% = 625 people
Thus,
There are 625 readers.
Learn more about percentages here:
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(-4 2/3) (1 1/2) as a mixed number in simplest form
Answer:
-7
Step-by-step explanation:
[AWENSERED] Which statements are true about the reduction of rectangle ABCD to rectangle A’B’C’D’? Check all that apply.
A ≅ A’
AB ≅ A’B’
CD = C’D’
BC = 3B’C’
D > D’
Answer: 1 and 4
Step-by-step explanation: just did it
Answer:
1 and 4
Step-by-step explanation:
because yes
totally doesn't say it
anyone have mocks gcse for year11 maths edexcel
I'm in year 10 but here are some useful websites...
Factor (Hint: Put in Standard Form First)
d^2+ 10d + 20 = - 4
What is the factored form?
Answer:
(d+4)(d+6)
Step-by-step explanation:
The temperature is -10 degrees and increases 5 degrees. What temperature is it now.
Answer:
-5 degrees
Step-by-step explanation:
-10+5= -5
Answer:
-5 degrees
Step-by-step explanation:
Current temperature = initial temperature + increased temperature
Current temperature = [tex]-10+5[/tex]
Current temperature = [tex]-5[/tex]
.......................................................
Answer:
............................................................
Step-by-step explanation:
Answer:
................................................................
8 1/4 pounds of flour are used to make 4 1/8 papier-mâché pasta recipe how much flour is used in one recipe
Answer:
1/6
Step-by-step explanation:
ive seen that question b4
2 pounds of flour are required to make 1 recipe, as of the given condition.
Given that
8 1/4 pounds of flour are used to make 4 1/8 paper-mâché pasta recipe how much flour is used in one recipe is to be determined.
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,
Flour = 8 1/4
Flour = 8.25 pounds
The proportion of the recipe made corresponding to 8.25 pounds of flour = 4.125
Now,
For 1 recipe = 8.25 / 4.125 = 2 pounds of flour are needed.
Thus, 2 pounds of flour are required to make 1 recipe, as of the given condition.
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Please help me very important question.
A bathtub holds 80 gallons of water. Water drains out of the tub at a rate of 2 gallons every thirty seconds. At this rate, how many minutes will it take a full bathtub to drain completely?
Given :
A bathtub holds 80 gallons of water.
Water drains out of the tub at a rate of 2 gallons every thirty seconds.
To Find :
How many minutes will it take a full bathtub to drain completely.
Solution :
We know, 30 seconds = 0.5 minute.
Rate of water flow per minute is given by :
[tex]R = \dfrac{2}{0.5}=4 \ gallons/min[/tex]
Let, bathtub will completely drain in x minutes.
So, 4x = 80
x = 80/4
x = 20 minutes
Hence, this is the required solution.
Someone Plzzzz Help!?!
Answer:
A)74.1%
B)20.83%
C)62.5%
D)5%
PLEASE HELP PLEASE HELP 19 POINTS...PLEASE HELP
Answer:
-3/2
Step-by-step explanation:
Rise = -3
Run 2
Answer:hiiiii
Step-by-step explanation:
lol
i need help with this asap
Answer:
The answer is 202.68
Step-by-step explanation:
To add fractions find the lowest common denominator and then combine
Rearrange the equation so m is the independent variable.
-2m-5n=7m-3n
Answer:
-2m -5n = 7m - 3n
<=> -5n + 3n = 7m + 2m
<=> -2n = 9m
<=> m = [tex]\frac{-2}{9}n[/tex]
Step-by-step explanation:
Answer:
n = -9/2m
Step-by-step explanation:
I got this answer from Khan Academy.
Hope this helps! :)
plz show work....hellp
Answer:
f(-12) = -15
Step-by-step explanation:
f (-12)
we put -12 in place of x
-12 - 3 = -15
so, f(-12) = -15
Please Fill in the blanks.
Answer:
It's blurry..
Step-by-step explanation:
Do you mind either taking a clearer picture or typing it out in the comment section?
Answer:
I can't read it.
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? X2 + 8x+16
A. X-4
B. X-8
C. X+4
D. x+8