The expression for the width of the rectangle is W = ( x - 12 )
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
We can use the formula for the area of a rectangle to find an expression for its width:
Area = length × width
The length of the rectangle is given as x + 12 meters, and the area is given as x² - 144 square meters.
We can substitute these values into the formula and solve for the width:
x² - 144 = (x + 12) × width
To solve for the width, we can divide both sides of the equation by x + 12:
width , W = (x² - 144) / (x + 12)
W = ( x + 12 ) ( x - 12 ) / ( x + 12 )
W = ( x - 12 )
Hence , the expression that represents the width of the rectangle is given by W = (x² - 144) / (x + 12) = ( x - 12 )
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Which list is ordered from least to greatest?
A.
–5, –2.1, 0.3, 3.1
B.
0.3, –2.1, 3.1, –5
C.
–2.1, –5, 0.3, 3.1
D.
0.3, 3.1, –2.1, –5
List A. –5, –2.1, 0.3, 3.1, is ordered from least to greatest.
To determine which list is ordered from least to greatest, we need to compare the numerical values in each list and arrange them in ascending order. Here's a step-by-step explanation:
A. –5, –2.1, 0.3, 3.1B. 0.3, –2.1, 3.1, –5C. –2.1, –5, 0.3, 3.1D. 0.3, 3.1, –2.1, –5List A is properly ordered from least to greatest:
–5 is the smallest–2.1 is next0.3 comes after3.1 is the largestTherefore, the correct answer is: A
What is the answer to Violet has 11 rolls of pennies there are 50 pennies in each roll how many pennies does violet have all together
what is the solution to r/-3 = 12
An object is traveling at a steady speed of 8 2/3 mph how long will it take the object to travel 5 1/5 miles
It will take 36 minutes for an object to travel 5 1/5 miles at a steady speed of 8 2/3 mph.
To find out how long it will take an object traveling at a steady speed of 8 2/3 mph to travel 5 1/5 miles, you can use the formula
time = distance / speed.
First, convert the mixed numbers to improper fractions:
Speed: 8 2/3 mph = (8 × 3 + 2) / 3 = 26/3 mph
Distance: 5 1/5 miles = (5 × 5 + 1) / 5 = 26/5 miles
Next, calculate the time:
Time = Distance / Speed
= (26/5) miles / (26/3) mph
= (26/5) × (3/26) hours
= 3/5 hours
To convert hours into minutes, multiply by 60:
= 3/5 hours × 60 minutes/hour
= 36 minutes
Help ASAP with this questions.
Solve for b, i.e separate b in one side and the other terms in the other side
A = ah + bh
A - ah = bh
(A - ah) / h = b
[tex]b= \frac{A-ah}{h} [/tex]
I hope that helps!
Amber and Will are in line together to buy tickets. Amber moves back by 3 place three times to talk to friends. She was invited to 5 place up in line. Will moved back by 4 place twice, and then moved up in line by 3 place. Overall, who moved farther back in line
what are the steps to get the answer
-1/4 x 2/7
multiply the 2 top numbers and then multiply the 2 bottom numbers
1*2 = 2+4*7 =28
so answer is -2/28 which can reduce to - 1/14
Last year a baseball team pay $20 per bag $12 glove, spending a total of $1,040. This year the price went up to $25 per bat and $16 per glove. The team spent $1,350 to purchase the same amount of equipment as last year. How many bats and gloves does it take purchase each year?
A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)
area of a square - S^2, where S is the length of a side
to find S when you know the area, take the square root
so S = sqrt(8)
S = 2.828
rounded to nearest hundredth = 2.83 inches
643=4 x 160+n write what n represents in the related division problem
You have a stack of pennies without counting the pennies, how can you know if there is a odd or even number of them
Suppose that you have a stack of pennies. If you want to know without counting whether there is an odd or even number of pennies, then you have to split them into two parts, for example, placing one coin left and one coin right.
If the number of pennies is even, then no coins will left, if the number is odd, then one coin will be extra.
whats the value of 3 in .036
4x+y=2
and x-y=3
Also using transitive property
How does 0.008 compare to 0.08
use properties to find 4 times 23 times 25
Answer:
2300
Step-by-step explanation:
Is there a difference between (-1)^2 vs. -1^2 ?
Q3
Help pls.. urgent!
The thickness of a surfboard relates to the weight of the surfer. A surfboard is 21/3/16 inches wide and 2/3/8 inches thick. Write each dimension as a decimal.
Answer: Each dimension would be 21.1875 inches and 2.375 inches respectively.
Step-by-step explanation:
Since we have given that
Width of a surfboard = [tex]21\dfrac{3}{16}\ inches[/tex]
Thickness of a surfboard = [tex]2\dfrac{3}{8}\ inches[/tex]
We need to rewrite each dimension as a decimal.
We first write it in improper fraction:
Width becomes
[tex]21\dfrac{3}{16}\\\\=\dfrac{339}{16}\ inches[/tex]
Thickness becomes
[tex]2\dfrac{3}{8}\\\\=\dfrac{19}{8}\ inches[/tex]
Now, we change it into decimal form:
[tex]\dfrac{339}{16}=21.1875\ inches\\\\and\\\\\dfrac{19}{8}=2.375\ inches[/tex]
Hence, each dimension would be 21.1875 inches and 2.375 inches respectively.
Which umber is greater? Square root of 220 or 14 3/4?
The number square root of 220 is greater than that of 14 3/4.
Given are two numbers.
The square root of 220 and 14 3/4.
We have to find which number is greater.
We know that :
14 3/4 = 14 + 3/4 = 14.75
Now,
14² = 196
15² = 225
So the number 220 lies between 196 and 225.
So √220 lies between 14 and 15.
Since 220 is closest to 225 which is the square of 15, the square root os 220 is more close to 15.
√220 ≈ 14.8
Hence √220 is greater.
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I have only 2 right side and no line segments of equal length
Which graph represents the solution set of the system of inequalities? {y≤2x+1y>−2x−3
we have
[tex]y\leq 2x+1[/tex] ------> inequality A
The solution of the inequality A is the shaded area below the solid red line
see the attached figure N [tex]1[/tex]
[tex]y>-2x-3[/tex] ------> inequality B
The solution of the inequality B is the shaded area above the dotted blue line
see the attached figure N [tex]2[/tex]
therefore
The solution of the system of inequalities is the shaded area between the solid red line and the dotted blue line
see the attached figure N [tex]3[/tex]
therefore
the answer in the attached figure N [tex]3[/tex]
how old am I if 500 reduced by 3 times my age is 230?
what is a rule for the function represented by (0,2/19) (1,1 2/19) (2,4 2/19) (3, 9 2/19) (4, 16 2/19) (5, 25 2/19)
Final answer:
The rule for the function with the given points is f(x) = x^2 + 2/19, as derived from observing the relationship between x-values and their corresponding y-values where the y-values increase by the square of the x-value with a constant fractional part of 2/19.
Explanation:
To find the rule for the function represented by the set of points given, we need to look for a pattern in the y-values relating to the x-values. The provided points are (0,2/19), (1,1 2/19), (2,4 2/19), (3, 9 2/19), (4, 16 2/19), and (5, 25 2/19). Observing the differences between the y-values, it appears that the fractional part remains constant at 2/19, whereas the whole number part increases by the square of the x-value. Therefore, we can express the function rule as f(x) = x2 + 2/19.
Let's verify this by substituting the x-values from the points into our proposed rule:
f(0) = 02 + 2/19 = 2/19f(1) = 12 + 2/19 = 1 2/19f(2) = 22 + 2/19 = 4 2/19f(3) = 32 + 2/19 = 9 2/19f(4) = 42 + 2/19 = 16 2/19f(5) = 52 + 2/19 = 25 2/19As we can see, the values match perfectly, confirming that the rule of the function is indeed f(x) = x2 + 2/19.
Jared sells square frames of various sizes made of wood. To find the area of a frame, Jared uses the formula A = s^2 - (s - 2w)^2, where s is the length of a side of the frame and w is the width of the frame.
Part B.) Find the area of a frame that measures 20 inches on each side and has a width of 3 inches
Part C.) Jared charges 18 cents per square inch for his frames. How much will he charge for a frame that measures 16 inches on each side and has a width of 2 inches?
Answer:
B.204 square inches
C.2016 cents
Step-by-step explanation:
We are given that Jared sells square frames of various sizes made of wood .To find the area of a frame ,Jared uses the formula
[tex]A=s^2-(s-2w)^2[/tex]
Where s=Length of a side of the frame
w=Width of the frame
B.We are given that length of each side=s=20 inches
Width of frame=w=3 inches
Substitute the values in the above given formula
Then, we get
A=[tex](20)^2-(20-2\times 3)^2[/tex]
[tex]A=400-(20-6)^2[/tex]
[tex]A=400-196=204 [/tex]square inches
Hence, area of frame=204 square inches
C.We are given that
Cost of 1 square inch=18 cents
Length of each side of frame=s=16 inches
Width of frame=w=2 inches
Substitute the values in the given above formula
Then ,we get [tex]A=(16)^2-(16-2\times 2)^2[/tex]
[tex]A=256-(12)^2[/tex]
[tex]A=256-144=112[/tex] square inches
Cost of 112 square inches=[tex]112\times18[/tex]=2016 cents
Hence, he will charge for a frame =2016 cents
Each U.S. penny weighs 2.5 grams. How many pennies, x, are on a scale if their total weight is
37.5 grams?
Identify an equation that models the problem and find its solution.
Emily brought $35 to the fair. At the fair, she spent $16 on ride tickets and she also bought
lunch. She had $7 when she left the fair. How much did Emily spend on lunch?
3(2b+4)=6(5b+2)
please step by step
An average person in the United States throws away 4.5 × 10² g of trash per day. In 2013, there were about 3.2×106 people in the U.S.
About how many grams of trash was thrown away in the United States in 2013?
5.3 × 10^__ g
Rudy has $200 to spend on presents for his family. If there are 6 people to buy for, and he wants to spend an equal amount on each, how much money will he have LEFT after he shops?
A)
$0.02
Eliminate
B)
$0.10
C)
$1.00
D)
$199.98
E)
$33.33
One of the performers at the circus is Zachary, the Human Cannonball. On Saturday he does three shows. His distances measure 9.2 meters, 15.5 meters, and 16.8 meters. What is the total distance Zachary flies that day?
jake bought a shirt on sale for $80. The sale price of the shirt had been reduced by $40. What was the percent markdown on the shirt