9/29 < 1/a + 1/b < 7/12
Here we have two expression
3 < a < 4 and 4 < b < 5
We have to find the value of the expression
1/a + 1/b
The lower bound of the expression is when we take the maximum value of both the expression a and b
a = 4 and b = 5
From this we get
= 1/ 4 + 1/5
= 5 + 4 / 20
9/ 20
In the same way, we get the higher bound of the expression taken by taking the minimum value of both the expression a and b
a = 3 and b = 4
By putting the value of a and in the expression we get:
1/ 3 + 1/4
= 4+3 / 12
= 7/12
Thus we get the possible value of the expression :
9/20 <1/a + 1/b < 7/12
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what is 209.3 ÷ 80 without a remainder
Answer:
2.61625
Step-by-step explanation:
209.3 divided by 80
Use a table to solve each equation. Round to the nearest hundredth.
2x⁺³=512
[tex]2^{(x + 3)} = 512[/tex] => x = 6, by properties of exponentiation.
What is exponentiation?Exponentiation is a mathematical operation that involves the base number (b) and the exponent (or power) number (n), and is represented as [tex]b^n[/tex]. Its pronunciation is "b (raised) to the (power of) n."Now,
[tex]2^{(x + 3)} = 512[/tex]
=> [tex]2^{(x + 3)} = 8^3 = (2^3)^3[/tex]
As [tex](a^b)^c = a^{bc}[/tex],
=> [tex]2^{(x + 3)} = 2 ^9[/tex]
=> x + 3 = 9
=> x = 6
Hence, [tex]2^{(x + 3)} = 512[/tex] => x = 6, by properties of exponentiation.
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Write each equation in logarithmic form. 10⁻³=0.001
-3 is equation in logarithmic form.
What is the purpose of logarithm?
A logarithm is a mathematical formula that calculates how many times the base, or initial number, must be multiplied by itself to produce the target number.
A logarithm is defined simply?
The power to which a number must be increased in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents). For instance, since ten raised to the power of two equals 100, the base ten logarithm of 100 is 2: log 100 = 2.10⁻³=0.001
log. 001 = -3 log 10 = -3
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Write a radical function such that for its domain, the function is onto the set of real numbers such that y≤3
A radical function such that y≤3 is given by y=-√|x|+3 .
A radical function is defined as a function which has the independent variable within a radical sign.
A radical sign is also defined as the power of the variable to be a fraction.
We know that the n-th root of x is similar to x to the power of (1/n) .
The domain of the function is onto the set of real numbers which means that the domain contains all real numbers.
The range of the function is given as y≤3, that is the value of y can take a maximum value of 3.
Hence we can write a function where x ∈ R and y ≤ 3 .
Let us consider the function y=-√|x|+3
The above functions satisfies all the criteria for the question. It is a radical function and the maximum value can be 3 as -√|x| can have a max value of 0 for all x ∈ R .
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Eduardo started a business selling sporting goods. He spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. He earns $850 per week in sales. What is the minimum number of weeks it will take for Eduardo to make a profit?
Which inequality models this problem?
300w>7500+850w
850w≥7500+300w
850w<7500+300w
850w>7500+300w
The minimum number of weeks it will take for Eduardo to make a profit
850w > 7500 + 300w. Option D
This is further explained below.
What is the minimum number of weeks it will take for Eduardo to make a profit?Generally, the Total cost is mathematically given as
X= $7500+$300w
Where he is earning each week
=$850
Therefore,
He will be paid in n weeks=$850n
The information that has been presented states that the very bare minimum number of weeks that it will take for Eduardo to earn a profit is by.
Total revenue is more than total expenditures
850w > 7500 + 300w
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I dont know how to do this please help!
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
We want to find the value of 'x':
[tex]\hookrightarrow \text{ thus we must first find the value of '4x'}[/tex]
[tex]\hookrightarrow \text{EC and GH are parallel lines intersected by the same line BG}[/tex]
[tex]\hookrightarrow \text{angles formed by the parallel lines and a intersecting lines}[/tex] [tex]\hookrightarrow \text{ are equal in measure }[/tex]
[tex]\hookrightarrow \text{thus angles BEC and EGH are equal in measure}[/tex]
Angle EGH is made up of two angles, ∠EGC and ∠CGH
∠EGC is 78 degrees∠CGH = ∠FGI = 14 degrees (Vertical Angle Theorem)⇒ ∠EGH = ∠EGC + ∠CGH = 78 + 14 = 92 degrees
Since ∠BEC = ∠EGH
[tex]\hookrightarrow 4x = 92\\\hookrightarrow x = 92/4 = 23[/tex]
Answer: 23
Hope that helps!
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Vertical Angle Theorem: two angles that are formed by two intersecting lines and are opposite each other are equal
The value of x is 23 because Angle FGI and Angle HGC are vertically opposite angles, the answer is 23.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The triangle and two parallel lines are shown in the picture.
As we know, from the definition of the vertically opposite angle, two lines intersect each other at the intersecting point.
Angle FGI = Angle HGC = 14 degrees
4x = 78 + Angle HGC
4x = 78 + 14
4x = 92
x = 92/4
x = 23
Thus, the value of x is 23 because Angle FGI and Angle HGC are vertically opposite angles, the answer is 23.
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In Problem 17, verify that the functions fand g are inverses of
each other by showing that (f o g) (x) = x and (g o f) (x) = x.
Problem 17:
f(x) = 1/x g(x) = 1/x
Answer:
you are very very very correct
If you were George Washington, would you have put two VERY different people in your Cabinet to advise you? Do you think this was a wise decision by Washington? Explain.
If I were George Washington, I would have put two very different people to advise me because I would have a broader vision of government affairs.
Who was George Washington?George Washington (1732-1799) was an American politician and military man who stands out for being one of the most influential people in history and for having served as the first president of the United States between 1789 and 1797. He is considered the most important father of the Nation of the United States.
In 1789 he was unanimously elected by the other founding fathers as the first president of the United States. During his rule he tried to create a nation capable of maintaining peace with its neighboring countries, so he proclaimed neutrality to avoid any involvement in foreign conflicts.
Why have two very different advisers?For George Washington it was a challenge to occupy the position of the first president of the United States because he was going to lead a country that was just being formed. Due to the above, it was of vital importance to include all forms of thought and all visions in its government plan and way of governing.
Therefore, when assuming office as president of the United States, it would be of great importance to have advisers who would help him see from the point of view of other people so that his decisions would take into account the interests of all citizens to avoid uprisings and divisions.
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Two water tanks 50 inches tall. tank a is empty and for each minute the water increases by 3.7 inches. tank b is draining and the water decreases 1.9 inchesveach minute. how many minutes will pass so the height of the water in each tank is the same
If two water tanks are 50 inches tall and tank a is empty and for each minute the water increases by 3.7 inches and tank b is draining and the water decreases by 1.9 inches each minute, then the minutes after which the height of the water in each tank is the same is equal to 9.
The time in minutes after which the height of the water in each tank is the same can be determined by using a linear equation.
The equation for this problem can be given as,
0 + 3.7(x) = 50 - 1.9(x)
Here x is equal to minutes. To find the minutes after which the water level will be the same can be determined by calculating the value of x in this linear equation.
3.7(x) + 1.9(x) - 50 = 0
5.6(x) = 50
x = 50 / 5.6
x = 8.92 ≈ 9
Hence, the height of the water in tank a and tank b is equal after 9 minutes.
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Write the equation of the line that passes through (5, −2) and is perpendicular to y equals 5 thirds times x minus 3 period.
y equals negative 3 fifths times x plus 1
y equals negative 3 fifths times x plus 19 fifths
y equals 3 fifths times x minus 5
y equals 5 thirds times x minus 31 thirds
We need to use the concept of lines and slopes to solve the problem.The equation of the line that passes through (5,-2) and is perpendicular to y=[tex]\frac{5}{3} x-3[/tex] is [tex]y=\frac{-3}{5} x+\frac{19}{5}[/tex].
We will be using the concept of lines and slopes to solve the question. When two lines are parallel their slopes are equal and when two lines are perpendicular the product of their slopes equal to -1.
Here we know that the line passes through a point (5,-2) and is perpendicular to another line,we need to find out the slope of the line first.
Let slope of given line be m1 and slope of the line that we need to find out be m2.
[tex]y=\frac{5}{3} x-3[/tex]
slope is the coefficient of x, thus m1=[tex]\frac{5}{3}[/tex]
we know that m1xm2=-1
[tex]\frac{5}{3}[/tex]×m2=-1⇒m2=[tex]\frac{-3}{5}[/tex]
The formula that we need to find the equation of a line is
(y-y1)=m(x-x1)
here (x1,y1) is (5,-2) and m is m2
[tex]y-5=\frac{-3}{5} (x+2)\\y-5=-\frac{3}{5} x-\frac{6}{5} \\y=\frac{-3}{5} x+5-\frac{6}{5} \\y=\frac{-3}{5} +\frac{19}{5}[/tex]
Thus using the concept of lines and slopes we found out that the equation of line that has been asked for is [tex]y=\frac{-3}{5} x+\frac{19}{5}[/tex]
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Evaluate the expression A=3, b=1/2.and c=4
8ab/2bc
Answer: 3
Step-by-step explanation:
First substitute values in :
8(3)(1/2)/ 2(1/2)(4)
Then simplify :
12/ 4
3
The scale of a map is 2.6 ft = 89
miles
Map: 5.6 ft
Actual:
miles
Actual miles is [tex]\frac{2492}{13}[/tex]
According to the question,
Given that,
Map is 5.6 ft
scale of Map is 2.6 ft which is equal to 89 miles
Actual miles = [tex]\frac{5.6 * 89}{2.6}[/tex]
= [tex]\frac{498.4}{2.6}[/tex]
multiply both the numerator and denominator with the same integer
= [tex]\frac{4984}{26}[/tex]
= [tex]\frac{2492}{13}[/tex]
Actual miles is [tex]191\frac{9}{13}[/tex] ≈ 1.916923 ×[tex]10^{2}[/tex]
Definition of miles per hour unit: ≡ 1 mi / 3600 s = 1609.344 m / 3600 s. In American public life, this is the most commonly used speed unit. Cars speeds are measured in mpg. Interpretation: The speed at which the body moves 1 mile (or 1609.344 metres) in 1 hour.
Definition of feet per second unit: ≡ 1 ft / 1 s = 30.48 cm / 1 s. Abbreviation is fps. In America, perhaps this is the second most commonly used speed unit in public life (after miles per hour). Definition: The speed at which the body moves 1 foot (or 30.48 centimetres) in 1 second.
Convert Miles to Feet
Multiply your speed in miles per hour by 5,280. This is the number of feet in a mile. The result is your speed in feet per hour. For example, 60 miles per hour times 5,280 feet per mile is 316,800 feet per hour.
Convert to Feet per Minute
Divide your speed in feet per hour by 60. This is the number of minutes in an hour. Therefore, the result is your speed in feet per minute. For example, 316,800 feet per hour divided by 60 minutes per hour is 5,280 feet per minute.
Convert to Feet per Second
Divide your speed in feet per minute by 60. This is the number of seconds in a minute. Therefore, the result is your speed in feet per second. For example, 5,280 feet per minute divided by 60 seconds in a minute equals 88 feet per second.
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Miles caught a fish that weighed 4 1/6 pounds and then caught another that weighed 6 5/8 pounds. How much more did the second fish weigh? Create an expression to represent this situation.
Answer: 2 11/24
Step-by-step explanation: First we have to subtract it, so 6 5/8 - 4 1/6 which is 2 11/24
A store is offering a 15 % discount on all items. Also, employees get a 20 % employee discount. Write composite functions
b. to model taking the 20 % discount and then the 15 % discount.
The composite functions of the model taking the 20 % discount and then the 15 % discount is (D ◦ E)(x) = 0.68x.
What is meant by function composition?
In mathematics, function composition is an operation in which two functions, f and g, generate a new function, h, in such a way that h(x) = g(f(x)). This means that function g is being applied to the function x. So, in essence, a function is applied to the output of another function.
Define fog, the composition of f and g, as (fog)(x) = f(g(x)) for functions f and g. g should be applied to x. If fog(x) = x and gof (x) = x for all x values in the domain of f and g, then they are inverse functions.
In math, the domain (the x-values) of one function becomes the range (the y-value answers) of the next function. Composition notation is as follows: (f o g)(x) = f(g(x)) and exists read “f composed with g of x” or “f of g of x”.
Let D(x) = cost after applying the 15% discount,
E(x) = cost after applying the 20% employee discount, and x = cost of item(s).
Then D(x) = 0.80x and E(x) = 0.85x.
(D ◦ E)(x) = 0.68x.
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find many solutions to the system of inequalities:
1) Solve each inequality individually.
[tex]\dfrac{2x-3}5 - \dfrac{4x-9}6 > 1 \\\\ 6(2x-3) - 5(4x-9) > 30 \\\\ (12x-18) - (20x+45) > 30 \\\\ -8x > 3 \\\\ x < -\dfrac38[/tex]
and
[tex]5(x-1) + 7(x+2) > 3 \\\\ (5x-5) + (7x+14) > 3 \\\\ 12x > -6 \\\\ x > -\dfrac12[/tex]
Then the solution set is
[tex]-\dfrac12 < x < -\dfrac38[/tex]
since -1/2 = -4/8 is smaller than -3/8.
2)
[tex]\dfrac{x+1}2 - \dfrac{x+2}3 < \dfrac{x+12}6 \\\\ 3(x+1) - 2(x+2) < x+12 \\\\ (3x+3) - (2x+4) < x + 12 \\\\ x - 1 < x + 12 \\\\ -1 < 12[/tex]
This is true for all values of [tex]x[/tex].
For the second inequality, (I use periods in place of commas because it renders better as TeX)
[tex]0.3x - 19 \le 1.7x - 5 \\\\ -1.4x \le 14 \\\\ x \ge -10[/tex]
Taken together, the solution set is
[tex]\boxed{x\ge-10}[/tex]
3)
[tex](x-6)^2 < (x-2)^2 - 8 \\\\ x^2 - 12x + 36 < (x^2 - 4x + 4) - 8 \\\\ -8x < -40 \\\\ x > 5[/tex]
and
[tex]3(2x-1) - 8 < 34 - 3(5x-9) \\\\ (6x - 3) - 8 < 34 - (15x - 27) \\\\ 21x < 72 \\\\ x < \dfrac{72}{21} = \dfrac{24}7[/tex]
But [tex]x[/tex] cannot be both larger than 5 = 35/7 and smaller than 24/7, so there are no solutions.
4)
[tex]\dfrac{3x-2}3 - \dfrac{4x+1}4 \le 1 \\\\ 4(3x-2) - 3(4x+1) \le 12 \\\\ (12x-8) - (12x + 3) \le 12 \\\\ -11 \le 12[/tex]
This is true for all [tex]x[/tex].
[tex](x-1)(x-2) > (x+4)(x-7) \\\\ x^2 - 3x + 2 > x^2 - 3x - 28 \\\\ 2 > -28[/tex]
This is also true for all [tex]x[/tex].
Any value of [tex]x[/tex] is a solution.
Find the inverse of each function. Is the inverse a function?
f(x)=x⁴
The domain of f(x) to be [0,∞).
If the domain R, f(x) is not one to one, so its inverse exists not a function.
If we restrict the domain of f(x) then we can define an inverse function.
What is meant by inverse function?An inverse function, even comprehended as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by f-1 or F-1 if the function exists denoted by ' f ' or ' F '.
In order to have an inverse function, a function must be one to one.
In the case of f(x) = x⁴ we find that f(1) = f(−1) =1.
If f(x) exists not one to one on its implicit domain R.
If we restrict the domain of f(x) to [ 0, ∞) then it does contain an inverse function, then [tex]f^{-1}(y)=\sqrt[4]{y }[/tex]
Let the given function be y = f(x) = x⁴
Taking the square root of both ends, then we get
± √y = x²
Let the real values be x, then
We require the left hand side to be non-negative, so assume the non-negative square root.
Take the square root of both sides of the equation then
±[tex]\sqrt[]{\sqrt{y} }[/tex] = x
⇒ x = ± [tex]\sqrt{\sqrt{y} }[/tex] = ± [tex]\sqrt[4]{y}[/tex]
It does not give us a unique value of x in terms of y.
So the inverse function exists not defined, then x ≥ 0,
i.e., restrict the domain of f(x) to be [0,∞).
If the domain R, f(x) exists not one to one, so its inverse exists not a function.
The domain of f(x) then we can describe an inverse function.
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A car tire has a radius of 1.5 feet. if the tire is rotating at 800 rpm, what is the speed of the car in miles per hour (1 mile = 5,280 feet)? round the answer to the nearest tenth. the car is traveling approximately miles per hour.
Answer:85.7 miles per hour
Step-by-step explanation:
what do i subtract with a positive number to produce a negative number?
Answer:9
Step-by-step explanation:draw a line threw the equal sign, add 36 instead of subtracting it, which then would be 9.
Answer:
down below
Step-by-step explanation:
In order for you to get a negative number, you need to put in the variables place, 9.
9 is your answer.
i need help with this
Answer:
y = 3x² + 2
Step-by-step explanation:
I'm help to number on more this, thank for subject on help for today.
please explain how you got it also
a WHOLE is always simplified to "1", and we can use any denominator for that, so 5/5 is 1, and 7/7 = 1, and [tex]\cfrac{4}{4}\implies \cfrac{113}{113}\implies \cfrac{1000000}{1000000}\implies \text{\LARGE 1}whole[/tex]
so hmmm for this case we'll be use thirds or namely the denominator of 3, so a whole bunch of basketballs was originally 3/3 of "b", "b" was the whole amount, so originally we had 3/3, but then during the day we sold 2/3 of them, so we were left with 3/3 - 2/3 = 1/3, and then 8 came back, because they were deflated or something, now the store has a total of 38 basketballs.
[tex]\stackrel{whole}{\cfrac{3}{3}b}~~ - ~~\stackrel{sold}{\cfrac{2}{3}b}\implies \cfrac{3b-2b}{3}\implies \cfrac{b}{3}\implies \stackrel{\textit{remaining in store}}{\cfrac{1}{3}b} \\\\\\ \stackrel{in~store}{\cfrac{1}{3}b}~~ + ~~\stackrel{coming~back}{8}~~ = ~~\stackrel{new~total}{38} \\\\\\ \cfrac{b}{3}+8=38\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( \cfrac{b}{3}+8 \right)=3(38)}\implies b+24=114\implies \stackrel{originally}{b=90}[/tex]
34. Marianne figured out that her father's age
is her age plus five to the power of four, less
365, minus 22, all divided by six. If her father
is 42, how old is Marianne?
ats true
Marianne's age is 14 years old if her father's age is her age plus five to the power of four, less 365, minus 22, all divided by six.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Marianne figured out that her father's age is her age plus five to the power of four, less 365, minus 22, all divided by six. If her father is 42.
Let x be the Marianne age
(x + 5⁴ - 365 - 22) (1/6) = 42
x + 238 = 252
x = 14 years
Thus, Marianne's age is 14 years old if her father's age is her age plus five to the power of four, less 365, minus 22, all divided by six.
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What is 3/4c - 1 = 1 + 3/4c? Thanks!
Answer:
False
Step-by-step explanation:
You want to know "what is 3/4c - 1 = 1 + 3/4c?"
SolutionSubtracting the left-side expression from both sides, we get ...
(3/4c -1) -(3/4c -1) = (1 +3/4c) -(3/4c -1)
0 = 2 . . . . a False statement
__
Additional comment
Since the equation is written without parentheses, we have to assume that c is in the numerator in each expression, and that its coefficient is (3/4).
WHAT I SHOULD HAVE DONE
1 CUP MILK
4 SCOOPS
CHOCOLATE
WHAT I DID
1 CUP MILK
5 SCOOPS
CHOCOLATE
Answer the questions on each slide.
Use complete sentences. You do not have to show your work.
If it asks to explain, please provide an explanation.
How should I fix this to equal 1/4?
Answer:
just add more to the milk and another scoop of chocolate
Step-by-step explanation:
1.5 cups milk
6 scoops of chocolate
-4x -5x
6x-(-3x)+x-6
-9x-y+1+5y+5x-10
6(x+3)
-5 (x-8)+2
7-(x-4)+5x-1
Step-by-step explanation:
1. -9x
2. 2(5x -3)
3.. -4x + 4y -9
4. 6x+18
5.-5x +42
6. (2x+5)
Read and try to solve the problem below. Look at the circumference of each of the circles below. What do you think would be the circumference of a circle with diameter 1 cm? 2 cm C = 6.28 cm 3 cm C = 9.42 cm 4 cm C = 12.56 cm 2.5 cm C = 15.70 cm
The formula for calculation of circumference of the circle = d π or 2πr where d is diameter of circle and r is the radius of circle
As given in the question the circumference of the circle whose diameter is 2 cm is 6.28cm and we come to know that value of π used here is 3.14 and not 22/7
So, the circumference of the circle whose diameter is 1cm = d π
= 1 π
= 1 3.14
= 3.14 cm
Hence the circumference of the circle whose diameter is 1cm using the value of pi as 3.14 comes out to be pi that is 3.14 cm
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PLEASE WORK OUT THE PROBLEMS CORRECTLY. GET IT RIGHT AND GET BRAINLIEST!!!!
Answer:
Question 1 is x = 2, y = 2, z = 2
Question 2 is x = 1, y = 1, z = -3
Question 3 is x = 13, y = -10, z = -7
Question 4 is x = 5, y = -2, z = -3 (C)
Question 5 is x = 2, y = 0, z = -2
Step-by-step explanation:
I did not have time to do this...
HELP!! The slope of the line below is 3. Write the equation of the line in point-slope form, using the coordinates of the labeled point. Do not use parenthesis on the y-side. (-1,1)
The equation of the line in point-slope form is y-1 = 3 ( x + 1)
Equation of a line:
The equation of a line, in point-slope form, is designated using:
y-y0= m( x - x0)
In which the point is given by(x0,y0) and m is the slope.
Slope of the line below is 3 (given in the question).
This means that m = 3
(-1,1)
This means x= -1 and y =1
equation of the line
y - y0 = m( x- x0)
y-1 =m(x-(-1))
y-1=m(x + 1)
substituting the value of m is 3
y-1= 3 ( x + 1)
Therefore, The equation of the line in point-slope form is y-1= 3 (x + 1)
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Please tell me how its done, 25 points
1. There are 24% of boys in a school. If the number of girls is 456, find the total
number of students in the school.
Answer:
Heya genial Gracia dispute
(a) A booster rocket for a spacecraft has a mass ratio of about 15 , an exhaust velocity of 2.1 km /s , and a firing time of 30s . Can the spacecraft achieve a stable orbit 300km above Earth?
Using the mass ratio, the spacecraft's velocity was determined to be 7.7025 km/s.
Here, c = 2.7 km/s, t = 30s, R = 20
On substituting the values of 'R', 't', 'v', we get:
v = -0.0098 ( 30) + 2.7 ( ln (20))
=> v = - 0.294 + 2.7 (2.995)
=> v = 7.7025 km/s
What is a spacecraft?A spaceship is a machine or vehicle built to travel through space. Spacecraft are a form of artificial satellite used for a wide range of tasks, such as communications, Earth observation, meteorology, navigation, space colonization, planetary exploration, and cargo and person transfer.
Following are the main distinctions between spaceships and rockets: The spacecraft is launched into space by rockets, which then crash to Earth. Rockets are never manned, whereas spacecraft can be either manned or unmanned. Additionally, spacecraft cannot match the power of rockets.
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I really need help I will give you 5 stars and alike.
Answer:
the area is 935 square inches, and the perimeter is 39 inches
Step-by-step explanation:
Hey there!
In order to find the perimeter and area of the board, we must first list out the information we already know
----------------------------------------------------------------------------------------------------------
- The original board has a length of 44 - The original board has an area of 1496- The original board has a perimeter of 156- The new board has a length of 11----------------------------------------------------------------------------------------------------------
There is a tiny pattern in here:
The original board has a length of 44 while the new one has the length of 11
This means that, the original board had dimensions 4 times the length of the new board
In order to find the area or perimeter, we need to know the width of the new board
To do this, we divide 1496 by 44
That gets us 34
This means that the width of the old board is 34
Now we divide 34 by 4 which gets us 8.5
This means, 8.5 is the width of the new board
Now that we know this, we can easily find the area and the perimeter of the new board
8.5 + 8.5 + 11 + 11 = 39
This means, the perimeter is 39
8.5 x 11 = 935
This means, the area is 935
This brings us to the conclusion that the area is 935 square inches, and the perimeter is 39 inches!