The area of a rectangle is 48 square centimeters and the length of the rectangle is 8 centimeters longer than the width.
The area of a rectangle is found by multiplying the length times the width.
Which equation models this situation?
8w = 48
w + 8 = 48
w(w+8)=48w(w+8)=48
w + 8w = 48
Answers
Related Questions
Line PQ is parallel to BC and splits AB into lengths of x + 8 and x. The other side, AC, is split into lengths of x + 13 and x + 1. What is the length of AC? Image Not to Scale.
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If a straight line connecting two sides of a triangle is parallel to its third side then the straight line divides these sides proportionally.
If the lengths of the segments are listed in an corresponding order, then it implies that you have this proportion:
x + 8/x = x + 1/x +13
Contradiction. This equation has no solutions in real positive numbers. It means that the lengths are listed in the inverse order. Then the proportion is
x + 8/x = x +13/ x+1
Answer:
AC = 18.Step-by-step explanation:
The problem is about proportions, because we have two parallels line being intercepted by two transversal. So, the proportion would be:
[tex]\frac{x+8}{x}= \frac{x+13}{x+1}[/tex]
Solving for [tex]x[/tex]:
[tex]\frac{x+8}{x}= \frac{x+13}{x+1}\\(x+1)(x+8)=x(x+13)\\x^{2} +8x+x+8=x^{2} +13x\\9x+8=13x\\8=13x-9x\\4x=8\\x=\frac{8}{4}=2[/tex]
Now, to find the length of AC, we just have to use the value found and replace it in the proper expression:
[tex]AC=x+13+x+1=2x+14=2(2)+14=4+14=18[/tex]
Therefore, the length of AC is 18.
Lily forgot the security code for her apartment building. the code is two different numbers followed by a letter. how many different possible codes are ther?
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9x9x26=2106
Why is investing in a mutual fund less risky than investing in a particular company’s stock?
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What is the volume of a cone with a radius of 18 cm and a height of 10 cm? Use 3.14 for pi. Round your answer to the nearest tenth
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The correct answer is 3391.2cm^3
#1: The theoretical yield of a reaction is 5.00 moles of potassium permanganate (KMnO4). If the reaction actually produces 695.2 g KMnO4, what is the percent yield of the reaction?
A. 78%
B. 83%
C. 88%
D. 120%
Answers
Final answer:
To calculate the percent yield, the actual yield in moles of potassium permanganate was found to be 4.40 moles from 695.2 g, using the molar mass of KMnO4. Then, the percent yield was calculated using the theoretical yield of 5.00 moles, resulting in 88%.
Therefore, the correct answer is C. 88%
Explanation:
To calculate the percent yield of the reaction, we first need to know the moles of potassium permanganate (KMnO4) that correspond to 695.2 g. We use the molar mass of KMnO4 which is 158.04 g/mol to convert grams to moles.
Actual yield in moles = mass (g) / molar mass (g/mol) = 695.2 g / 158.04 g/mol = 4.40 moles of KMnO4
Now, with the theoretical yield of 5.00 moles, we can find the percent yield using the formula:
Percent yield = (actual yield / theoretical yield) × 100%
Percent yield = (4.40 moles / 5.00 moles) × 100% = 88%
Therefore, the correct answer is C. 88%
what is 0.9 as a percentage
Answers
90÷100×1=0.9
0.9 as a percentage is 90 percent.
Explanation:To convert a decimal to a percentage, you need to multiply the decimal by 100. In this case, 0.9 times 100 equals 90. Therefore, 0.9 as a percentage is 90 percent.
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Simplify 5 log2 k – 8 log2 m + 10 log2 n
...?
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5log2(k) = log2(k^5)
8log2(m)= log2(m^8)
10log2(n)= log2(n^10)
now to subtract logs, you divide the arguments, keeping the same vase.
To add logs, multiply the arguments.
So log2(k^5)- log2(m^8)+ log2(n^10)= log2[k^5* n^10)/m^8]
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
your answer is log2 k to the fifth power n to the tenth power over m to the eighth power
Step-by-step explanation:
Will give brainliest answer. If explained..
A parallelogram and some of its dimensions are shown below.
What is the area of the parallelogram?
A. 100 sq.in.
B. 200 sq.in.
C. 300 sq.in.
D. 600 sq.in.
Answers
A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.
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53p + 45h = 784.10
just a matter of subbing and solving...
53(h - 11) + 45h = 784.10
53h - 583 + 45h = 784.10
98h = 784.10 + 583
98h = 1367.10
h = 1367.10/98
h = 13.95
p = h - 11
p = 13.95 - 11
p = 2.95
so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece
The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.
Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.
Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95
Now,
y = 13.95 - 11
y = $2.95
Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.
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The number of pizzas eaten at the class party is equal to one-fourth the number of students, plus two more pizzas for the adults. If nine pizzas are eaten, how many students are there?
Answers
9 = 1/4S + 2
-2 -2
--------------------
7 = 1/4S
4(7=1/4S)
28=S
There are 28 students int the class
Find a polynomial function with integer coefficients that has given zeros. (There are many correct answers)
0, 0, 4, 1+i
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\\y=xx(x-4)(x-1-i)
\\y=x^2(x-4)(x-1-i)[/tex]
What is the solution set of 2x2 7x 5=0??
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x=0
\/////////////
The area of desert a is eight times the area of desert
b. if the sum of their areas is 900,000 square miles, find the area of each desert
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77/8 as a mixed number
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8
--------------------------
is 77/8 as a mixed number
True or false.
1) Adjacent angles are supplementary?
2) Same-side interior angles are supplementary?
3) Vertical angles are congruent?
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In a circus a tightrope is stretched from the top of a 10 ft. pole to the top of a 25 ft pole. The poles are 36 feet apart and vertical. How long is the tightrope?
Show your work.
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To find the hypotenuse (the tightrope), we have to use 'pythagoras'. It's this rule which states that in any right-angled triangle, the hypotenuse squared is equal to the sum of the other two sides squared. >> h^2 = a^2 + b^2 (where h is the hypotenuse and a and b are the other two sides)
h^2 = (25 - 10)^2 + 36^2 ... pythag
h^2 = 15^2 + 36^2
h^2 = 225 + 1296 = 1521
h = √1521 = 39!
Final answer:
To find the length of the tightrope between two poles of different heights and a known distance apart in a circus using the Pythagorean theorem.
Explanation:
The length of the tightrope can be calculated using the Pythagorean theorem.
Given:
Height of the first pole = 10 ftHeight of the second pole = 25 ftDistance between the poles = 36 ftUsing the Pythagorean theorem:
Length of the tightrope = √(36^2 + (25-10)^2)
Length of the tightrope = √(1296 + 225)
Length of the tightrope = √1521
Length of the tightrope = 39 ft
Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π].
Answers
The graph of y = 8 cos x is vertical stretch by a factor of 8 units. Therefore the graph y=cos x, = the maximum and minimum values of the function y = cos x in the interval [-2π, 2π]. So they are 8 and -8 respectively.
max = 8, ∈[−2π,2π]
= Solution
min = −8. ∈[−2π,2π]
What is 24.051 rounded to the nearest hundredth? How did you solve it?
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First off, what number is in the position of the hundereth place? 0? No. 1? No. 5 yes! Now how i learned how to round is you take the number to the right of whatever you are being asked about and round it up or down. Now if the number (in this case it is 1) is lower than 5, you round down (or keep it the same) but if it is 5 or higher you round up. since 1 is lower then 5, that 5 in the hundereths place stays the same.
one pipe fills a storage pool in 8 hours. A second pipe fills the same pool in 4 hours when a third pipe is added and all three are used to fill the pool,it takes only 2 hours. find how long it takes the third pipe to do the alone.
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A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (Do not use mixed numbers. Round your answers to three decimal places.)
(a) How fast is the top of the ladder moving down the wall when the base is given below?
15 feet away from the wall
_____ ft/sec
20 feet away from the wall
_____ ft/sec
24 feet away from the wall
_____ ft/sec
...?
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last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez
x2+y2=25calculus says
2xx′+2yy′=0and you are told that
y′=2so you know
2xx′+4y=0or
x′=−2yxJason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with
Answers
If they want how many cards before he added those 8 new ones then most likely 72 but seeming he ate half of his card and 40 isnt half of 72 we take 8+72 which equals 80. Add 40+40 or do 80/2 it comes out to be 40. So 80 cards to begin with.
Jason started with 72 baseball trading cards. To find out how many baseball trading cards Jason started with, let's break down the information given step by step.
1. Jason bought 8 new baseball trading cards: This implies that Jason's collection increased by 8 cards.
Let's denote the number of cards Jason had before buying the new ones as X . After buying the new cards, Jason would have X + 8 cards.
2. The next day his dog ate half of his collection: If his dog ate half of his collection, this means that the number of cards left after the incident is half of what Jason had before. So, after the dog ate half of the collection, Jason would have [tex]\( \frac{1}{2} \times (X + 8) \)[/tex] cards remaining.
3. There are now only 40 cards left: This information tells us that the number of cards left after the incident is 40. So, we have the equation:
[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]
Now, let's solve for X:
[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]
[tex]\[ X + 8 = 40 \times 2 \][/tex]
X + 8 = 80
X = 80 - 8
X = 72
So, Jason started with 72 baseball trading cards.
To verify, let's check the steps:
1. Jason initially had 72 cards.
2. He bought 8 new cards, totaling 72 + 8 = 80 cards.
3. After his dog ate half of his collection, he was left with [tex]\( \frac{1}{2} \times 80 = 40 \)[/tex] cards, which matches the given information.
Therefore, Jason started with 72 baseball trading cards.
The complete question is:
Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with?
a piggy bank contains only nickels and quarters. The total value in the back is $3.80. Write an equation in standered form that models the possible combinations of nickels and quarters in the piggy bank
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0.05n + 0.25q = 3.80....I just used the variables (n) for nickels and (q) for quarters....but u could use x and y if u want to. But if u do this, be sure and label ur variables
Haley is at the store buying some supplies for an art project. She decides to buy some colored pencils for $3.95 and a drawing tablet. The total cost of the supplies before sales tax is $6.94.
Which equation could not be used to find the cost of the drawing tablet?
$3.95 + x = $6.94
$6.94 + x = $3.95
x = $6.94 - $3.95
$6.94 - x = $3.95
Answers
If you want an explanation let me know
because
colored pencils for =$3.95
a drawing tablet = x/$2.99
The total cost of the supplies = $6.94
so it's not $6.94 + $2.99 = $3.95 because $6.94 + $2.99 = $9.93
sorry for the long text up there but the it needed to be more then 20 characters long and this is not B: $6.94 + x = $3.95
Catie is making bracelets for her friends using small rubber bands. She has 364 rubber bands and she wants to make 6 bracelets. How many rubber bands will she use for each bracelet? How many rubber bands will be left over?
Answers
60 rubber bands per bracelet
and
4 left over
If the average cost of hotel stay per night is about $85 plus 18% of hotel tax, estimate the total stay. Round answer to the hundredths place
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Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was three fourths the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
18 inches by 36 inches
6 inches by 12 inches
16 inches by 32 inches
9 inches by 18 inches
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Answer: The answer is 16 by 32.
Step-by-step explanation:
I took the test and this was correct. Explanation is easy because 12 is 3/4 of 16 and 24 is 3/4 of 32.
If the generic television set is 12 inches by 24 inches, the dimensions of the brand name television is, 16 inches by 32 inches
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
Jason considered two similar televisions at a local electronics store
The generic version was three fourths the size of the brand name
The generic television set is 12 inches by 24 inches
The dimensions of the brand name television = ?
Suppose, the dimensions of the brand name are a inches by b inches
So,
3/4 a = 12
a = 16
Similarly,
3/4 b = 24
b = 32
Hence, the dimensions are 16 inches by 32 inches
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Order these numbers from least to greatest. 8 7/11 , 8.17 , 8.174 , 173/20
Answers
The numbers are ordered from least to greatest by first converting them all to decimals, resulting in the order: 8.17, 8.174, 8 7/11 (8.6363), and 173/20 (8.65).
First, we need to convert all the numbers to similar formats, either as decimals or fractions, to compare them accurately. Here's what we have:
8 7/11 = 8 + 7/11 = 8.6363 (rounded to four decimal places)8.17 (already a decimal)8.174 (already a decimal)173/20 = 8.65 (as a decimal)Now, we can easily order these from least to greatest:
8.178.1748 7/11 (8.6363)173/20 (8.65)An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot shadow. What is the approximate height of the building to the nearest foot?
Answers
I will use x for the height of the building.
So 8 is to 90 as 5 is to x.
Our equation is:
8(SF) = 90
Divide both side by 8:
SF = 45/4
Then, we plug SF into the next equation:
5(SF) = x
5(45/4) = x
56.25 = x
Round to the nearest foot, and the height of the building is 56 feet.
(3x^2a - 4y^a z^3a) ^2 ...?
Answers
(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
= 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
= 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
two ninths of the eighteen people in the bakery are eating cookies how many people are eating cookies
Answers
Final answer:
To find out how many people are eating cookies, you multiply the total number of people in the bakery, which is 18, by two-ninths. The result is four, meaning four people are eating cookies.
Explanation:
If two-ninths of the eighteen people in the bakery are eating cookies, we need to calculate 2/9 of 18 to find out how many people are eating cookies. This is a basic fraction multiplication problem.
To solve this, we multiply 18 (the total number of people) by the fraction 2/9:
18 × (2/9) = (18 × 2) / 9
18 × 2 = 36
36 / 9 = 4
Therefore, four people in the bakery are eating cookies.