10 + 4a = a -23 i need to solve for a please help
Answer:
a = -11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
10 + 4a = a - 23
Step 2: Solve for a
Subtract a on both sides: 10 + 3a = -23Isolate a term: 3a = -33Isolate a: a = -11Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 10 + 4(-11) = -11 - 23Multiply: 10 - 44 = -11 - 23Subtract: -34 = -34Here we see that -34 does indeed equal -34.
∴ a = -11 is the solution to the equation.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀
10 + 4a = a - 23 ______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀
Value of a = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
For solving such problems we must have a glance at BODMAS rule .
⠀⠀⠀⠀
Firstly , putting all the variables at left and putting all the constants at right
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4a - a = - 23 - 10
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Secondly , solving the variable side
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3a = -23 - 10
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Now , solving the constant side
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3a = - 33
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Thirdly isolating the variable
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a = -33 / 3
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a = - 11
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
Value of a is -11
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
dollars, y. The scatter plot shows the results,
hello ppl from my school who also dont know this
Answer:
They both intersect at C. (-4,-2)
Step-by-step explanation:
The solutions are base on where they cross or intersect
Point S is between R and T. If RS = 2x + 10, ST = x - 4, and RT = 4x - 10, find
the value of x.
Hint: Draw a picture!
O x = 16
O x = 8
O x = 10
O x = -14
Answer:
i dont really get your question tho
Given: -5x+2/7=-4; Prove: x=6
need to fill out a chart (picture provided) of the statements and reasons for this equation.
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
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.
A line passes through the point (2,3) and has a slope of -2. Which is the equation of the line in point-slope form?
Answer:
7-2x=y
Step-by-step explanation:
When a point passes through a line it satisfies its equation
(X-x0 )m= y-y0
Slope = m = -2
(X-2 )(-2)=y-3
4-2x=y-3
7-2x=y
a new pair of shoes for 60% off. what expression represents the total cost
Answer:
What was the origainal price?
Step-by-step explanation:
simplify 64 to the power of 0 first one to answer gets brainliest (10 points)
Answer:
1
Step-by-step explanation:
Factor out 2x squared minus 98 completely
Answer:
2(x+7)(x-7)
Step-by-step explanation:
1. In 2x^2-98, there is a common factor of 2
2. The equation therefore becomes 2 (x^2 - 49)
3. We know that x^-49 is a difference of two squares and can therefore be factored into (x+7)(x-7)
4. Therefore the fully factored answer is 2(x+7)(x-7)
A set of 6 water bottles are sold for 12. What is the unit cost per water bottle?
$2.00 US Dollars is the answer
Are the following lines parallel, perpendicular or neither?*
7x -8y = 64 and y = - 4x + 15
parallel
perpendicular
O neither
O both parallel and perpendicular
Answer:pAraell
Step-by-step explanation:
factor the expression -28x+35b-14
I am kind of confused.
The store sells 6 pounds of apples for $6.00. Tina wants to buy 2 pounds of apples. How much would 2 pounds of apples cost?
Answer:
$2.00 i think ???
Step-by-step explanation:
beat me up if it's wrong !
Answer: $2.00
Step-by-step explanation: each pound is $1.00
Hey I need help
solve: (2 to the power of 4) - 6 divided by 2.
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
Which of these expressions is equivalent to 3 (x -2)
Answer:
3 (x -2) = 3x - 6
Answer:
3x-6
Step-by-step explanation:
(3*x)+(3*-2)
3x-6
Its the same but just multiplied
Which unit rate is the lowest price per ounce?
Choice A: 5 ounces of raisins for $1.49
Choice B: 12 ounces of raisins for $3.69
Answer:
B
Step-by-step explanation:
Answer:
A. 5 oz. is the lowest rate
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
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.
Learn more about function here:
https://brainly.com/question/2253924
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Hannah wants to save 1/3 of her allowance each week to buy a new dress that costs $45.00. if her allowance is $6.00 each week, how many weeks will she have to save to buy the dress?? PLEASE HELP PLEASE ASAP!! WILL MARK BRAINLIEST!!!
Answer:
It will take 22.5 weeks for her to save up to buy the dress.
Step-by-step explanation:
1/3 of $6.00 is 2.
(6 ÷ 3 = 2)
So she's saving $2 each week.
Now we need to divide $45 by $2 to get the number of weeks.
45 ÷ 2 = 22.5
Help asap if you want brainliest
Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?
Answer:
56
Step-by-step explanation:
...
The solution is Option A.
The inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the total number of DVDs Martin can buy be = A
Now , the equation will be
The price of 1 DVD is = $ 8.50
The price for shipping and handling = $ 5.00
Now , the total amount Martin decides to spend = not more than $ 56
So , the inequality equation will be
8.50A + 5 ≤ 56
On simplifying the equation and solving for A , we get
Subtracting 5 on both sides of the equation , we get
8.50 A ≤ 51
Divide by 8.50 on both sides of the equation , we get
A ≤ 51 / 8.5
A ≤ 6 DVDs
So , the value of A should be less than or equal to 6
Hence , the inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy
To learn more about inequality equation click :
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please help, im literally so lost
Answer:
RP = 2.3
PQ = 1.0
RQ = 2.3
Step-by-step explanation:
The pictures says RP = RQ,
so:
3x - 0.4 = x + 1.4
this you can simplify to:
x = 0.9
Then fill x in:
RP = 3*0.9 - 0.4 = 2.3
PQ = 0.9 + 0.1 = 1.0
RQ = 2.3
help please , I’ll give brainliest.
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
PLEASE HELP ME ASAP IMDOING FINALS
Answer this question and ill give out brainliest
Gimme a reason
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.
A television that costs $500 is marked up 250%. What is the new price if the television?
Answer:1,750
Step-by-step explanation:
sorry if im wrong I tried
HELP ME!WILL GIVE BRAINLIEST
Don't shame I'm just trying to pass, my assignment's weigh 35% of my grade, right now my assignment percentage is 65%. My test which holds 45% of my grade is at 85% and my final is 20%, which I got a 90 on. If I take 7 0's in assignments, what would my grade be? Basically asking how many 0's under assignments can I basically take so I do not fail. Hope this makes sense
Answer:
Step-by-step explanation:
Let's start by weighing everything but the assignments. We'll get back to them momentarily.
You have 85% on 45% of your grade. That's 38.25
Your final weighs in at 20%. You have. 18
So your total so far is 56.25
Now that looks mighty low, but we haven't put in the assignments yet.
So by the time you are finished you will have done 41 out of 48 assignments and that means you have done (41/48)*100 = 85.41 of the work. On these assignments that you have done, you averaged 65%
So your assignment mark will be 0.65 * 85.41 = 55.52
The weighted average = 0.35
The mark you will get is 0.35 * 55.52 = 19.32
So your final grade will be 56.25
Grade 75.57
In Canada (where I live), that would be a solid B. I don't know how things are calculated in the US, but I have done the work properly, I think.
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?
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.
There are 8 squares and 12 circles. What is the simplest ratio of squares to total shapes?
Answer:
2 : 5
Step-by-step explanation:
The ratio of squares : total shapes = 8 : 20 = 2 : 5 in simplest form