3. WRITE Write a paragraph explaining the order of the steps that you would take to
solve a multi-step equation.
Answers
Solving a multi-step equation involves simplifying, isolating the variable through operations, ensuring equality, and obtaining the variable's value while adhering to mathematical rules.
Solving a multi-step equation involves a systematic approach to isolate the variable and find its value. The order of steps begins with simplifying the equation by applying the distributive property or combining like terms. Then, progressively move toward isolating the variable term by performing operations such as addition, subtraction, multiplication, or division on both sides of the equation. It's crucial to perform the same operation on both sides to maintain equality. After isolating the variable term, further simplification might be necessary. Finally, the solution can be determined, providing the value of the variable that satisfies the equation. Throughout this process, meticulous attention to detail and adhering to mathematical rules are essential to ensure accurate and valid results.
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Related Questions
Question 5(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify square root of three times square root of twenty one.
square root of twenty four
square root of sixty three
three square root of seven
nine square root of seven
Answers
Answer:11/2-5/7
Step-by-step explanation:
simplify the variable expression below as much as possible (2x4)x+3+2
Answers
The expression is given to be:
\((2\cdot4)x+3+2\)Solve the parentheses:
\(2\cdot4=8\)Therefore, the expression becomes:
\(8x+3+2\)Add the numbers:
\(3+2=5\)Therefore, the answer is:
\(\Rightarrow8x+5\)la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
Answers
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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Quesuon 10 of 10
Use the table to identify the values of pand q that should be used to factor x2
+ 3x - 10 as (x + p)(x + 9).
р
1
-1
2
-2
q
-10
10
5
5
p+q
9
9
-3
3
A. -2 and 5
B. -1 and 10
C. 1 and -10
D. 2 and -5
.
Answers
Answer:
(p, q) is (2, 5)
Step-by-step explanation:
Given the expression
x^2 + 3x - 10
Factorize;
x^2 + 5x - 2x - 10
x(x+5) - 2(x+5)
(x-2)(x+5)
Comparing with (x + p)(x + 9).
x+2 = x+ p
x-x+2 = p
2 = p
p = 2
Similarly;
x+5 = x+q
x-x+5 = q
5 = q
q= 5
Hence (p, q) is (2, 5)
Angie and her family ordered a meal that cost $80. Angie paid 10% sales tax and left a 15% tip on $80. What was the total cost?
Answers
Answer:
100
Step-by-step explanation:
meal costs 80 dollars
ok
Angie paid 10%
ok
left 15% tip
ok
Ok so let's solve
80/100=0.8
now mutiply by 10
8
she paid 8$ sales tax
now get 0.8*15
12
she paid 12$ tip
total have to add now
12+8+80=100
Hope this helps
F(x) = 3x + 2
What is f(5)
Answers
Step-by-step explanation:
to find f(5) in f(x) , just put in '5' where 'x' is in the equation
f(5) = 3 (5) + 2 = 17
Answer:
f(5) = 17
Step-by-step explanation:
Let's evaluate the function for f(5)
\(\rm{f(x)=3x+2}\)Insert 5 everywhere x appears:
\(\rm{f(5)=3(5)+2}\)\(\rm{f(5)=15+2}\)\(\rm{f(5)=17}\)Therefore f(5) = 17
Michael's mom loves Bright Scents candles. A 4-inch candle will burn for 8 hours. Michael bought his mom a 10-inch candle for Mother's Day.
If Bright Scents candles all burn at the same rate, how many hours will the 10-inch candle burn?
Answers
Answer:
Step-by-step explanation:
Which of these is equal to 35 (8 – 3)? A. (35 + 8) – (35 + 3) B. (35 × 8 ) + (35 × 3) C. (35 × 8) – (35 × 3) D. (35 × 11)
Answers
The equivalent of the expression, 35 (8 – 3) is (35 × 8 ) - (35 × 3). The answer is C.(35 × 8) – (35 × 3)
How to simplify an expression?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Therefore, let's simplify the expression to the its' equivalent as follows:
Hence,
35 (8 – 3) = 35(5) = 175
Therefore, the equivalent is as follows:
35 (8 – 3)
Open the bracket by multiplying as follows;
35 (8 – 3) = (35 × 8 ) - (35 × 3)
The correct option is C. (35 × 8) – (35 × 3)
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Anna had three times as many as joe bead.they had 480 beads together. Mr taylor have an equal to each of them. Zoe then had half the number of beads that Anna had. How many beads did mr taylor give them.
Answers
Answer: 120 beads
Step-by-step explanation:
480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.
(so many typos in question so I do not know the names.)
Answer: 120
Step-by-step explanation:
480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.
area of a floor 19m by 12 m is
Answers
Answer:228m
Step-by-step explanation: 19m x 12m = 228m
Answer: 228m
Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.
The first rule is add 10, then divide by 2 starting from 2. The second rule is multiply by 3, then subtract 2 starting from 2. What are the first four ordered pairs using the two sequences?
Question 7 options:
(2, 0), (6, 4), (8, 12), (9, 32)
(2, 2), (6, 4), (8, 10), (9, 28)
(6, 4), (8, 10), (9, 28)
(2, 2), (10, 8), (16, 20), (18, 56)
Answers
Answer:
B. (2, 2), (6, 4), (8, 10), (9, 28)
Step-by-step explanation:
I hope this helped! :D
7. Identify the axis of symmetry of the parabola.
y = -1
-8-6-4 P
-2/
X = 1
X = -1
y4
8
y = 1
6-
4-
2+
CO
+
4 68 X
Q
Answers
Answer:
The answer is y=-1 (answer is C).
If a = 11 ft, b = 5 ft, and c = 7 ft, what is the surface area of the geometric shape formed by this net?
Answers
In a case where a = 11 ft, b = 5 ft, and c = 7 ft, the surface area of the geometric shape formed by this net is B. 145 sq. ft.
How can the surface area of the geometric shape be calculated?The concept that will be used here is area of triangle, we will we need need to know the area of the first 2 triangles
The area of the triangle can be expressed as :
A =( 1/2 bh)
A = (1/2 ba)
Then substitute the values we have,
a = [1/2 (11 ft.) (5 ft)]
a = 27.5 sq ft.
Then we can find the value of the area as :
A = [1/2 c*b]
If we substitue the values we,
a = [1/2 (5 ft) (7 ft)]
= 17.5 sq. ft
Then we can proceed to calculate the area of the rectangle which can be done using the formula:
A = (lw) where a = (11 ft.)(5 ft.) = 55 sq. ft
We can now find the summation of all the a's as :
[2(27.5) + 2(17.5 ) + 55 ]
= 145 sq. ft.
Therefore, option B is correct.
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missing options:
A. 167 sq. ft.
B. 145 sq. ft.
C. 117.5 sq. ft.
D. 147 sq. ft.
Find the following images in width and circumference
Answers
Step-by-step explanation:
hey guys how do you put a picture like you did ?
Solve 3 = 5 + 5 for x.
Answers
Answer:
possible 0.3 or 3.3
Step-by-step explanation:
\(3 = 5 + 5 \\ 3 = 10 \\ 3 \div 10 = 0.3 \\ x = 0.3\)
I THINK this is the answer or 3.3 (10÷3)
the volume of both of these trapezoid prisms is 24 cubic units. their heights are 6 and 8 units as labeled. What is the area of a trapezoidal base of each prism
Answers
the area of the trapezoidal base of the first prism is 9 square units, and the area of the trapezoidal base of the second prism is 16 square units.
What is Volume of both the trapezoidal prisms?
volume = area of cross section of object* height of object (A)
V = (1/2) * h * (b1 + b2) * H
For the first trapezoid prism, we have:
24 = (1/2) * 6 * (b1 + b2) * 8
Simplifying this equation, we get:
3 = (b1 + b2)
For the second trapezoid prism, we have:
24 = (1/2) * 8 * (b1' + b2') * 6
Simplifying this equation, we get:
4 = (b1' + b2')
A = (1/2) * h * (b1 + b2)
For the first trapezoidal prism:
A = (1/2) * 6 * 3
A = 9 square units
For the second trapezoidal prism:
A = (1/2) * 8 * 4
A = 16 square units
Therefore, the area of the trapezoidal base of the first prism is 9 square units, and the area of the trapezoidal base of the second prism is 16 square units.
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6575 to the nearest thousand
Answers
Answer:
Answer is 6600.
Step-by-step explanation:
I hope it's helpful!
The value of 575 is greater than 500 thus the nearest thousand of 6575 will be 7000.
How do round any digit?To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.
To round a thousand, we need to look at one hundred places if it is less than 500 we will keep the same, and if it is 500 or greater to it we will round up.
As per the given 6575 here 575 > 500
6575 → 7000
Hence"The value of 575 is greater than 500 thus the nearest thousand of 6575 will be 7000".
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Examine the following typical corporate bond listing:
In the name column, NYTel is the abbreviated name of the company (New York Telephone) issuing the bond. What was the closing price of the bond? What was the dollar amount? (See attachments)
a. 101 3/4; $101,750
b. 7 1/4; $7250
c. 101 3/4; $1017.50
d. 107 1/4; $1072.50
Answers
Answer:
C. 101 3/4; $1017.50
Step-by-step explanation:
Correct on E2020!
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
Answers
The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
Solution to the quadratic equation
The solution to the quadratic equation is determined as follows;
2x² + 12x - 3 = 0
2x² + 12x = 3
divide through by 2
x² + 6x = ³/₂
take half of coefficient of x, square it and add it both sides of the equation
(x + 3)² = ³/₂ + 3²
x² + 6x + 9 = 9 + ³/₂
2(x² + 6x + 9) = 18 + 3
Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.
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Solve for the area of the combined shape
Answers
Answer:
47 cm²
Step-by-step explanation:
3(9 - 4) + 8 × 4 = 15 + 32 = 47
what methods of the early Greek historians might be useful to historians today
Answers
Answer:
The study of the past and examining why events took place.
Answer:
The investigation of the past and the causes of events.
Suppose MarketOne is a marketing company that has small businesses for clients. MarketOne charges an upfront cost of $350 for new clients and an additional $195 per month to run and maintain the client's website. A linear equation could be used to relate the total cost, in dollars, of MarketOne's services and the number of months that the client's website is running. Which solution is viable for this situation? For full points, write the equation and show your work.
Answers
C = 195m + 350
where the constant term of 350 represents the upfront cost and the coefficient of 195 represents the monthly cost.
To check if this equation is viable for the situation, we can use some reasonable values for the number of months and see if the resulting costs make sense.
For example, if the client's website is running for 6 months, the total cost would be:
C = 195(6) + 350
C = 1,170 + 350
C = 1,520
This means that the client would pay $1,520 in total for 6 months of service from MarketOne.
Similarly, if the client's website is running for 12 months, the total cost would be:
C = 195(12) + 350
C = 2,340 + 350
C = 2,690
This means that the client would pay $2,690 in total for 12 months of service from MarketOne.
Based on these calculations, we can see that the linear equation is viable for the situation. The equation allows us to calculate the total cost of MarketOne's services based on the number of months the client's website is running, which is a useful tool for budgeting and planning.
What is the answer I need help and I can’t seem to figure it out
Answers
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
a phone company offers two monthly plans. A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no initial fee but cost $0.11 for each minute of calls
Answers
For 1,250 minutes, both plans will charge the same amount.
For how many minutes both plans charge the same?We know that Plan A costs $25 plus $0.09 per minute, so if you have x minutes of calls, the cost is given by the linear equation:
A(x) = $25 + $0.09*x
And plan B just charges $0.11 for each minute, then here we have the linear equation:
B(x) = $0.11*x
The costs are the same when:
A(x) = B(x)
$25 + $0.09*x = $0.11*x
Now we can solve this for x.
$25 = $0.11*x - $0.09*x = $0.02*x
$25/$0.02 = x = 1,250
We conclude that for 1,250 minutes, both plans will charge the same amount.
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For Tom's savings account, the interest earned varies jointly with the principal and amount of time (in years) since opening the account. If Tom opened the account 3 years ago with $1,200 and earned $144 in interest, how much interest will he have earned 8 years after opening the account?
Answers
Answer: 384 or 528 depending if you have to add the interest he already earned
Step-by-step explanation:
Sean bought a new sweatshirt that cost $78.00. If tax is 11% how much will Sean pay in total for the sweater?
.
Answers
3/4 (x + 9) = 15
It’s a 2 step equation
Answers
To solve the equation 3/4 (x + 9) = 15, we can follow these steps:
Simplify the expression on the left-hand side by distributing the 3/4:
3/4 (x + 9) = 15
3/4x + 27/4 = 15
Subtract 27/4 from both sides to isolate the variable term:
3/4x + 27/4 - 27/4 = 15 - 27/4
3/4x = 33/4
Multiply both sides by the reciprocal of 3/4, which is 4/3, to solve for x:
(4/3) * 3/4x = (4/3) * 33/4
x = 11
Therefore, the solution to the equation 3/4 (x + 9) = 15 is x = 11.
write 464000 in correct scientific notation
Answers
Answer:
The scientific notation is a method of writing very large or very small numbers in a more compact and easy to read format. It is expressed in the form of a x 10^n, where "a" is a number between 1 and 10, and "n" is an integer.
To write 464000 in correct scientific notation, we need to move the decimal point to the left until we get a number between 1 and 10. We count the number of places we moved the decimal point, and that will be the exponent of 10.
So, we can write 464000 as:
4.64 x 10^5
Therefore, the correct scientific notation of 464000 is 4.64 x 10^5.
Step-by-step explanation:
help me with this question, thanks!!!
Answers
Answer:
Gavin is incorrect,
divide 4
multiply 1/4
each get 1/12
Step-by-step explanation: