Answers
Answer:
1
Step-by-step explanation:
Algebraically, both sides of the equation must equal each other.
[tex]4(12x-6)=6(-4+5x)+18[/tex]
Distribute
[tex]4(12x-6)=6(-4+5x)+18\\48x-24=30x-24+18\\[/tex]
Add, subtract, multiply, or divide to isolate x.
[tex]48x-24=30x-24+18\\48x-24=30x-6\\18x=18\\x=1[/tex]
The solution to this equation is 1.
To test, you can plug in x with 1 and you will see that both sides equal each other.
Explanation:
- Distribute 4 through the first set of parenthesis. It will be 48x-24=6(-4+5x)+10x
- Now distribute 6 through the second set of parenthesis. Now it will be 48x-24=-24+30x+10x
- Cancel equal terms on both sides of the equation (both of the -24’s) So it will be 48x=30x+10x
- Collect like terms (add 30x and 10x). You will get 48x=40x
- Move the variable to the left-hand side. It will be 48x-40x=0
- Collect like terms (Subtract 40x from 48x). You should get 8x=0
- Divide both sides by 8. X=0
Related Questions
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
Answers
$2.00 US Dollars is the answer
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
Answers
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
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HELP ME!WILL GIVE BRAINLIEST
Answers
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answers
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answers
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
please answer thins thanks
Answers
A)
150 / 32 = 4.6785
5 people
B)
150 / 30 = 5
Yes
Answer:
A) Five people
B) Yes
Step-by-step explanation:
Just multiply 32 by x where x untill you hit 150 or more.
PLEASE HELP ME ASAP IMDOING FINALS
Answers
4 is corresponding to line DE
3 is corresponding to 9
In the figure below, ray MP and ray MQ both intersect line LN.
Answers
Answer:
x = 20°
Step-by-step explanation:
Lines and Angles
Rays PM and MQ divide the straight-line LN angle of 180° into three angles: 45°, 6x-5, and x.
Thus, we have:
45 + 6x - 5 + x = 180
Simplifying:
40 + 7x = 180
Subtracting 40:
7x = 180 - 40
7x = 140
Dividing by 7:
x = 140/7 = 20
x = 20°
Currently James has $600 in his bank account, while Lisa has $500 in hers.
Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.
Will their account balances ever be equal? If they are ever equal, how many weeks will it take?
Answers
Answer:
Their account balances will never be equal.
Step-by-step explanation:
I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.
I am kind of confused.
Answers
hope that helps!
a new pair of shoes for 60% off. what expression represents the total cost
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Answer:
What was the origainal price?
Step-by-step explanation:
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Answer:
Why does it say download PDF?
What is the product?
2-(-8)-5-(-2)
-160
o-80
80
160
Answers
If I read this correctly, the product is 160.
2(-8)5(-2)
= 2 x -8 x 5 x -2
= -80 x -2
= 160
The price of the same type of milk is shown. Which store has the the lowest unit price per ounce
Answers
Answer:
I would answer but there is no picture
Step-by-step explanation:
Answer:
It's not shown actually...
Step-by-step explanation:
Ummm...
Three of seven students ate apples for lunch. What is the
ratio of students who ate apples for lunch to students who
did not eat apples for lunch?
Answers
Answer:
3:4 would be the answer
Step-by-step explanation:
you're welcome
Nevaeh's car used 11 gallons to travel 352 miles. At what rate does the car use gas, in
miles per gallon?
Answers
Answer:
32
Step-by-step explanation:
divide 352 by 11
The required rate for Nevaeh's car uses 32 miles per gallon of gas.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operations is called the arithmetic operator.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
The required rate of car use gas is the ratio of the total distance traveled by car to the number of used gallons for the car to reach its destination.
Here total distance traveled by car = 352 miles
And the number of used gallons = 11
the car uses gas = 352 miles / 11 gallons
the car uses gas = 32 miles per gallon
Therefore, the required rate for his car uses 32 miles per gallon of gas.
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Answers
Answer:
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Step-by-step explanation:
help please , I’ll give brainliest.
Answers
Answer:5 N to the left
Step-by-step explanation:
Answer:
The Net Force is the difference of force. In this case
10N to the left - 5 N to the right = 5N to the left
A television that costs $500 is marked up 250%. What is the new price if the television?
Answers
Answer:1,750
Step-by-step explanation:
sorry if im wrong I tried
16 = n + 3
Enter your answer in the box.
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N = 13
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The function f(x) is defined below. What is the end behavior of f(x)?
f(x)=123x^3+9x^4-768x-3x^5-189x^2+1260
Answers
Answer:
Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The function f(x) is defined as;
f(x)= 123x³+9[tex]x^4[/tex] - 768x - 3[tex]x^5[/tex] - 189x² + 1260
WE need the degree and the leading coefficient to determine the behavior.
Since our leading coeffeicent has a leading even degree of 5, and a positive number,
The function will Rises to the left and falls to the right.
The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.
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Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amount of lemonade sales, in
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Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
Answers
50 points.
Record the simplified expression
Answers
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
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Answers
Answer:
A rift valley is forming.
Step-by-step explanation:
Both of the tectonic plates are moving away from eachother. That will cause a rift between the two plates.
Write the coordinates of the vertices after a reflection over the line y = 1.
Answers
*tuff scrolls
*looks at other hard things
i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68
Answers
Answer:
61 is the mean and the range is 19
Step-by-step explanation:
trust
Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given set of data.
What is Mean?
"Mean is the average set of all the given values."
What is Range?"Range is the difference between highest and the lowest value."
Formula
Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]
Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]
= [tex]\frac{601}{10}[/tex]
= [tex]60.1[/tex]
Range = Max (x) - Min (x)
= [tex]68 - 49[/tex]
= [tex]19[/tex]
Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.
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Hey I need help
solve: (2 to the power of 4) - 6 divided by 2.
Answers
Answer:
13
Step-by-step explanation:
2 to the power of 4 - 6 divided 2
16 - 6 divided by 2
16 - 3
13
Answer: 13
Step-by-step explanation:
2 to the power of 4 =
16 - 6/2 = 16 - 3 = 13
hello ppl from my school who also dont know this
Answers
Answer:
They both intersect at C. (-4,-2)
Step-by-step explanation:
The solutions are base on where they cross or intersect