An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answers
Answer:
x² + 12
48m²
Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
The area of the room = Area of bottom rectangle + area of the top rectangle
Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
Area of the room = x² + 12
Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
Given x = 6m
The area of the room = x² + 12
The area of the room = 6² + 12
The area of the room = 36 + 12
The area of the room = 48m²
Related Questions
4. Anthony makes candies.
First, he mixes 1 cup of cream with 2 cups of chocolate.
In all, he uses 9 cups of these two ingredients.
How many cups of chocolate does he use in this candy recipe?
Explain.
Answers
Answer:
6
Step-by-step explanation:
There is 1 cup of cream for every 2 cups of chocolate. That means there are 3 cups of cream and 6 cups of chocolate. Each cup of cream = 2 cups of chocolate, so you would do 3*2 which equals 6
6 + 3 = 9
Jonathan opened a savings account with $5500 and made no further
deposits. If the account pays3.5% simple interest, how long will it take until
the value of his account reaches $6655? *
a. 3.5 years
b. 6 years
c. 5.54 years
d. 6.5 years
Answers
Explanation: took the test
It takes 6 years to reach $6655.
What is Simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
The formula written out is "Simple Interest = Principal x Interest Rate x Time."
Given:
Amount= 6655
Principal = 5500
Interest rate= 3.5%
So, Amount= P( 1 +rt)
6655 = 5500 (1 + 0.035t)
6655/5500 = 1 +0.035t
1.21 - 1= 0.035t
0.21 / 0.035 = t
t= 6 years
Hence, it takes 6 years to reach $6655.
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Jin's mother estimates there is a half-gallon of fruit punch remaining in the container. There are actually 72 ounces of fruit punch in the container. Find the percent error of Jin's mother's estimate. Round the percent to the nearest tenth if necessary HELP DUE IN 10 MINUTES
Answers
Answer:
89%
Step-by-step explanation:
the real answer is 64 fluid ounces
64/72*100 which is 88.89% or 89%
Hope this helps plz hit the crown :D
The percent error of Jinn's mother's estimate is 11.12%.
What is Percentage Error?The degree to which a measured or calculated value is closest to its true value is measured by its accuracy. The error percentage is calculated by multiplying the error to real value by 100. The repeatability of a set of measurements is gauged by the precision of each measurement.
Given that Jinn's mother estimates there is a half-gallon of fruit punch remaining in the container. Therefore, the estimated amount can be written as,
Estimated amount = 0.5 gallons = 0.5 × (128 ounces) = 64 ounces
It is also given that there are actually 72 ounces of fruit punch in the container. Therefore, the percent error of Jin's mother's estimate is
Percentage Error = [ |Estimated value - Real Value| ) /Real Value] × 100%
= [( |64 ouches - 72 ounces| )/72 ounces] × 100%
= [(8 ounces)/72 ounces] × 100%
= 0.11111 × 100%
= 11.12%
Hence, the percent error of Jinn's mother's estimate is 11.12%.
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omg pls help its proving the sum of the interior angle measures of a triangle is 180
Answers
Answer:
60
Step-by-step explanation:
all angles in a triangle measures 180°
What is the measure of
Answers
Answer:
The answer is 60.
Mike and Thomas were making Lego towers. Mike stacked 249 Legos for his tower. Thomas had stacked twice as much as Mike. How many Legos did Thomas use for his tower? Write you answer in a complete sentence.
Answers
Answer:
498
Step-by-step explanation:
So,if mike stacked 249 legos and thomas did twice as much that means x2 so if you do 249 x2 you get 498.
The expression
*3 + 2x2 + x + 6
is equivalent to
x + 2
(3) 2x2 + x + 6
(1) x2 + 3
4
4
(2) x2 +1 +
x + 2
(4) 2x2 + 1 +
+ 2
Answers
Answer:
(2) x2+1+4/x+2
Step-by-step explanation:
I hope i am right sorry if i am wrong.
The division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
f(x) = (x³ + 2x² + x + 6)/(x + 2)
The given expression is -
f(x) = (x³ + 2x²)/(x + 2) + (x + 6)/(x + 2)
f(x) = x²(x + 2)/(x + 2) + (x + 6)/(x + 2)
f(x) = x² + (x + 6)/(x + 2)
f(x) = x² + (x + 2)/(x + 2) + 4/(x + 2)
f(x) = x² + 1 + 4/(x + 2)
Therefore, the division of expression will give -
f(x) = x² + 1 + 4/(x + 2)
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a pound of rice crackers cost 2.88 nathan purchased 1/3 pound of crackers how much did he pay for the crackers
Answers
Answer:
0.96
Step-by-step explanation:
Answer:
If you're asking how much it would cost then
Nathan purchased 1/3 pounds of crackers for 0.96$
Step-by-step explanation:
When Earth is tilted towards the Sun we receive BLANK Sun rays
A. Direct
B. Indirect
Answers
Answer: i think A. Direct
simplify the expression (x to the 12 power) to the 3 power
Answers
Answer:
Step-by-step explanation:
To simplify this, I can think in terms of what those exponents mean. "To the third" means "multiplying three copies" and "to the fourth" means "multiplying four copies". Using this fact, I can "expand" the two factors, and then work backwards to the simplified form. First, I expand:
(x3)(x4) = (xxx)(xxxx)
Now I can remove the parentheses and put all the factors together:
(xxx)(xxxx) = xxxxxxx
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This is seven copies of the variable. "Multiplying seven copies" means "to the seventh power", so this can be restated as:
xxxxxxx = x7
Question is attached above.
Answers
Answer:
the last one
Step-by-step explanation:
hope this help
this is james
Plz, Help me with this question.
Answers
Answer:
the answer is 9
Step-by-step explanation: you subtract the two and get ur answer
Determine the slope of the line that contains the given points.
T(5, 6), V(8, 8)
a.
0
b.
c.
d.
Answers
Answer:
slope = 2/3
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Anyone want to help me with this? I will mark brainliest and thanks
Answers
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Definition of a Line: A line is 180°Step-by-step explanation:
Step 1: Set up Equation
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
Step 2: Solve for x
Combine like terms: -15x + 60 = 180Isolate x term: -15x = 120Isolate x: x = -8Step 3: Find m∠BDC
Define: m∠BDC = (-7x + 12)°Substitute in x: m∠BDC = (-7(-8) + 12)°Multiply: m∠BDC = (56 + 12)°Add: m∠BDC = 68°SOMEONE PLEASE HELP WILL MArk BRAINLIEST ‼️‼️
Answers
Answer:
y=3x+2
Step-by-step explanation:
Kym switched cell phone plans. She signed up for a new plan that will save her $3.50 per month compared to her old cell phone plan. The cost of the new phone plan for an entire year is $294. How much did Kym pay per month under her old phone plan?
also merry early Christmas
Answers
Answer:
Hi there,
$294 per year = $24.50 per month
Kim paid $24.50 + $3.50 = $28 per
month with her old phone plan.
Hope this helps :-)
Step-by-step explanation:
Find the slope of a line parallel to y = 1/2x + 3.
Answers
Answer:
The slope is 1/2
Step-by-step explanation:
hope this helps
Answer:
Slope = 1/2
Step-by-step explanation:
Parallel lines have same slope.
Slope = (1/2)
Please help!!!! Due soon!!
I’ll mark you the brainliest answer! Please
Answers
Answer:
3/2 or 1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
X+2
F(x) +3
Evaluate the following:
14) 49-4( 32+116 ) 15) 72+72
16) 3278 +25
Answers
Answer:
14) -123
15) 144
16) 3303
Step-by-step explanation:
Enter the equation of the line in slope-intercept form.
The line perpendicular to y = −2x that passes through (0, 0).
The equation of the line that passes through (0, 0) is y = .
Answers
Answer:
The equation is;
y = x/2
Step-by-step explanation:
General form of the equation of a straight line is;
y = mx + c
where m slope
For the given equation , the slope is -2
If two lines are perpendicular, then the product of their slopes is -1
So the slope of the second line will be
-2 * m2 = -1
m2 = -1/-2
m2 = 1/2
Using the point-slope form, we have
y-y1 = m(x-x1)
Here (x1,y1) = (0,0)
y-0 = 1/2(x-0)
y = 1/2x or simply
y = x/2
A farmer bought a tractor for Rs 400000 and sold it
after 2 years at 10% depreciation rate per year.
What is the cost of tractor after 2 years? Find.
Answers
Step-by-step explanation:
Hope my answer helps mark me brainliestFind P(2) when p = 0.60
help pls
Answers
Answer:
The answer is 1.2
Step-by-step explanation:
since P is 0.60, you multiply both together to get 1.2
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answers
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
100 POINTS
Find the slope of the line passing through the points , −7−7 and , −36
i will make branlyst.
Answers
Answer:
The equation y = -0.24137931034483x – 8.6896551724138, assuming you meant (-36,0).
Step-by-step explanation:
hey hello, please help
Answers
Answer:
2/10 3/10 4/10 5/10 6/10
Step-by-step explanation:
add one each time or go up every number.
10 POINTS NEED HELP ASAP
Answers
Answer:
I believe it is D
Step-by-step explanation:
Hope this helps!
Giving brainliest for whoever answer this correctly 10 points!!!
Answers
Answer:
A. 0
Step-by-step explanation:
A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB?
Answers
Answer:
4/3
Step-by-step explanation:
(Y2-y1)/(x2-×1) is slope for 2 points
(11-3)/(8-2)
11-3=8
8-2=6
8/6=4/3
Answer: The slope is m = 4/3
Gwen bought a total of 35 pieces of licorice. She bought 4 times as many red pieces as she did black pieces.
a. Write a system of equations that represents the number of pieces of each kind of licorice that Gwen bought.
b. Solve the system by substitution
c. Interpret the solution
Answers
Step-by-step explanation:
The total no of pieces is 35. Let Gwen has B black pieces and R red pieces.
(a) She bought 4 times as many red pieces as she did black pieces. It means,
Red pieces = 4B
Equations that represents the number of pieces of each kind of licorice that Gwen bought are :
R + B = 35 ....(1)
and
R = 4B ....(2)
((b) Put equation (2) in equation (1)
4B + B = 35
5B = 35
B = 7
Put the value of B in equation (2)
R = 4(7) = 28
(c) There are 7 black and 28 red pieces of licorice.
x2 + 10 = 6
may i quickly have this answer?
Answers
Answer:
If that is [tex]x^{2} +10=6[/tex] then answer is [tex]x=\pm2i[/tex]
If that is [tex]2x+10=6[/tex] then answer is [tex]x=-2[/tex]