Algebra has many rules, but one of the most fundamental rules is the distributive property. The distributive property states that for any real numbers a, b, and c, the following equation holds true:
a(b + c) = ab + ac
This property allows us to "distribute" a common factor across the sum of two or more terms. For example, using the distributive property, we can simplify the expression 2(x + 3) to 2x + 6.
Another important rule in algebra is the order of operations, also known as PEMDAS ( Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). This rule tells us the order in which we should perform mathematical operations to get the correct answer.
Learn more about the first rule of algebra here: https://brainly.com/question/22694892
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Simplify the expression -1x-5(2x-y)-3y
Answer:
-11x + 2y
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(8,2) and (1,10)
Answer:
I am not sure but i think the midpoint is 4.5 and 6
Sam bought 6 pens for an unknown price plus a
backpack. If he spent a total of $28.50, write an
equation to find the cost of each pen.
Answer the Following Question relating it to the mid-point theorem, with explanation.
Answer:
wait wouldnt it be "The second one"
Step-by-step explanation:
I dont wanna get you wrong but like wouldnt it Diagonals AC and BD are perpendicular I dont wanna get yo wrong!
Help me pls ty :D
助けてください
Answer: Me don’t know
Step-by-step explanation:
65%
Step-by-step explanation:
130000/200000*100=65%
how many solutions does the equation 5x+13=13 have
Answer:
It only has one solution
Step-by-step explanation:
Which value is the solution for this equation
2/3(6h-9)=6
A) -1
B) 1
C) 3
D) 5
Answer:
h = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2/3(6h - 9) = 6
Step 2: Solve for h
[Division Property of Equality] Divide 2/3 on both sides: 6h - 9 = 9[Addition Property of Equality] Add 9 on both sides: 6h = 18[Division Property of Equality] Divide 6 on both sides: h = 3write a quadratic equation with the roots 1/2 and -5
x = 1/2 or x = -5
2x - 1 = 0 or x + 5 = 0
(2x-1)(x+5) = 0
2x² + 10x - x - 5 = 0
2x² + 9x - 5 = 0
Hope it helps!
Answer:
2[tex]x^{2}[/tex] + 9x - 5 = 0
Step-by-step explanation:
// Use the Vijet's theorem,
// note that the kofficient before [tex]x^{2}[/tex] = 1
Sum of the roots is:
1/2 + (-5) = - 4,5
Product of the roots is:
0,5 * (-5) = - 2,5
Formation of quadratic equation:
[tex]x^{2}[/tex] - (sum of the roots) x + product of the roots = 0
[tex]x^{2}[/tex] - (-4,5) * x + (-2,5) = 0
[tex]x^{2}[/tex] + 4,5x -2,5 = 0
// multiply both sides by 2
2[tex]x^{2}[/tex] + 9x - 5 = 0
Make me the brainliest ;)
Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *
Answer:
there are 13 players in a team
-12 + 2t = - 14
Solve for t
Answer:
-1
Step-by-step explanation:
-12 + 2t = -14
12 + -12 + 2t = -14 + 12
2t = -2
2t/2 = -2/2
t = -1
OOPS my submitted answer was wrong.
Submitting this is so you can give other person points! :]
please help! how do you do this question?
9514 1404 393
Answer:
(0.75, -1)
Step-by-step explanation:
The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.
C = (A +B)/2
C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B
C = (-1+2.5, 1-3)/2 . . . . . . . add the coordinates
C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2
C = (0.75, -1) . . . . . . the center of the circle
cual numero es mayor q 9/5
Answer:
9/5 es mayor que 4/5 Realmente espero que esto te ayude
The fisherman pays a contractor to repair his dock. The charges are $1200 for lumber, $60 for sales tax, and $750 for labor. The fisherman pays $260 down and finances the remainder. There is a finance charge of $41.06.
Answer:
Im guessing we have to add these, considering you did not put the rest of the question. In that case, the answer would be 2311.06
Step-by-step explanation:
Evaluate the expression when y=6 and x=9.
x+7y
Answer:
9+(7)(6)
9+42=51
Step-by-step explanation: hope this help
Need help ASAP
Thankss + BRAINLIST only for correct answer
Answer(5,6)
Step-by-step explanation:
At a real estate agency, an agent sold a house for $389,000. The commission rate is 7.5% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer:
I fr don’t know
Step-by-step explanation:
Is the point (3, 11) a solution for the linear equation 1/3x + y = 12? Explain.
9514 1404 393
Answer:
yes
Step-by-step explanation:
The point is on the line.
The coordinate values satisfy the equation:
1/3x + y = 12
1/3(3) + 11 = 12 . . . substitute for x and y
1 + 11 = 12 . . . . . . . true
Any point that satisfies the equation is a solution. (3, 11) is a solution.
Angle ABC is a straight angle. The measure of angle ABD is x. What is the value of x?
Answer:
45 degrees
Step-by-step explanation:
A straight angle is equal to 180, so subtract 135 from 180
Answer:
45
Step-by-step explanation:
Halppppppppppppppppppp
Answer:
Yes
Step-by-step explanation:
[tex]y\leq 3x+9\\\\8\leq 3(7)+9\\\\8\leq 21+9\\\\8\leq 30[/tex]
Yes, the given point makes the inequality true. We end up with a true statement.
Hope this helps.
How tall is a stack of 10 chairs?
5 chairs are 51 inches
3 chairs are 45 inches
8 chairs are 60 inches
Answer:
10 chairs are 102 inches
Step-by-step explanation:
Beacause 5 chairs are 51 so the double of chairs will be 102 inches
A phone company offers two monthly plans. Plan A costs $26 plus an additional $0.13 for each minute of calls. Plan B costs $17 plus an additional $0.18 for each minute of calls. Please help me!
Answer:
DSC
Step-by-step explanation:
Solve this system of equations.Write your answer as an ordered pair.3x+4y=36 y=-1/2x+8
Answer:
x = 4
y = 6
Step-by-step explanation:
[tex]\left \{ {{3x+4y=36} \atop {\frac{1}{2}x+4y=8 }} \right.[/tex] rewrite the equations and multiply bottom equations by -4
[tex]\left \{ {{3x+4y=36} \atop {-2x-4y=-32}} \right.[/tex] add both equations together
x = 4
then, input x=4 into equation 3x+4y=36:
3(4)+4y=36 (simplify)
12+4y=36 (subtract 12 from both sides)
4y=24 (divide both sides by 4)
y=6
I need help ASAP! I am offering brainiest to whoever answers the question first!
Answer:
Step-by-step explanation:
1536(4)(4)=24576
Answer:1536(4)(4)=24576
Step-by-step explanation:
Mario has 160 pizzas and is collecting two pizzas a week. Write the equation for the number of pizzas Mario has
Answer:
160+2x
Step-by-step explanation:
Answer:
Mario has after 5 weeks 170 pizzas.
Step-by-step explanation:
Each time add to the chart 2 Pizzas and move a week.
Y=-x-2
2x-3y=-9
Solve for x and y
Answer:
y = - x - 2
2x - 3y = - 9
put value of y
2x - 3(-x - 2)= -9
2x +3x +6 = - 9
5x = - 9 - 6
5x = - 15
x = - 3
now put x in y = - x - 2
y = - (-3)-2
= 3-2
y = 1
Pls help me this is due in 10 mins
If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle
Answer:
35cm
Step-by-step explanation:
Given data
Length= 21cm
Width= 28cm
Diagonal= ???
Applying Pythagoras theorem
D^2= L^2+W^2
D^2= 21^2+28^2
D^2= 441+784
D^2= 1225
D= √1225
D= 35cm
Hence the diagonal is 35cm
Determine the intercepts of the line:
y = -9x - 14
Answer: (-14/9, -14) or (-1.5, -14)
Step-by-step explanation:
y = -9x - 14
the coefficient without a variable in a slope-intercept equation is the y-intercept -- in this case, it is -14
to find the x intercept you use the equation given, set y to equal zero and Solve for x
- Your new equation should be: 0 = -9x - 14
Our new goal is to isolate the x
Start by doing the inverse of the coefficient, so add 14 to both sides
- Your new equation should be: 14 = -9x
Theres still a -9 attached to the x and the -9 is attached by multiplication -- so now you do the inverse function and divide both sides by -9
Your final answer: -14/9 = x or -1.5 with a repeating decimal
Round 13,649 to the nearest thousand
Answer:
14,000
Step-by-step explanation:
13,649
the 6 in the hundredths place rounds up therefore the 3 in the thousands place turns into a 4
hakim wrote an equation to represent the number of meters he would run for each kilometer, k, in a long distance race.W hat is the value of k if 1,000k =0?