A worm is at the bottom of a ravine. Every day it climbs up 5 feet, but every night while it is sleeping, it falls back 3 feet. a) How long will it take the worm to crawl up the ravine if it is 20 ft high? b) What if the ravine is 97 feet high?
Answers
Answer:
a) 9 days
b) 47 days
Step-by-step explanation:
Given information:
Distance worm climbs each day = 5 ftDistance worm falls back each night = 3 ftPart (a)\(\begin{array}{|c|r|c|r|}\cline{1-4} \sf Day & \sf Height\:{(ft) & \sf Night & \sf Height\:(ft) \\\cline{1-4} 1 & 5 & 1 & 5 - 3 = 2\\\cline{1-4} 2 & 2 + 5 = 7 & 2 & 7 - 3 = 4 \\\cline{1-4} 3 & 4 + 5 = 9 & 3 & 9 - 3 = 6 \\\cline{1-4} 4 & 6 + 5 = 11 & 4 & 11 - 3 = 8 \\\cline{1-4} 5 & 8 + 5 = 13 & 5 & 13 - 3 = 10 \\\cline{1-4} 6 & 10 + 5 = 15 & 6 & 15-3=12\\\cline{1-4} 7 & 12 + 5 = 17 & 7 & 17 - 3 = 14 \\\cline{1-4} 8 & 14 + 5 = 19 & 8 & 19-3=16\\\cline{1-4} 9 & 16 + 5 = 21 &&\\\cline{1-4}\end{array}\)
On the first day the worm climbs 5 ft, but slips back 3 ft during the first night.
On the second day the worm climbs a further 5 ft, so is now at 7 ft, but slips back 3 ft during the second night. Therefore, it starts the third day at a height of 4 ft.
The progression continues this way so that the worm starts the 9th day at a height of 16 ft. As it climbs 5 feet during the day, it will reach the height of 20 ft during the 9th day, and so will climb out of the ravine before it sleeps for the night.
Therefore, it will take 9 days for the worm to crawl up a 20 ft ravine.
This can be modeled as an arithmetic sequence:
\(y=a+(x-1)d\)
where:
y = height of ravinex = number of daysa = initial height after the first dayd = common difference = 2Therefore:
\(\implies y=5+(x-1)2\)
\(\implies y=5+2x-2\)
\(\implies y=3+2x\)
Part (b)To calculate how long it will take the worm to crawl up the ravine if it is 97 ft high, substitute y = 97 into the equation and solve for x:
\(\implies 3+2x=97\)
\(\implies 3+2x-3=97-3\)
\(\implies2x=94\)
\(\implies \dfrac{2x}{2}=\dfrac{94}{2}\)
\(\implies x=47\)
Therefore, it will take 47 days for the worm to crawl up a 97 ft ravine.
Related Questions
Freemont run club surveyed a random sample of 30 of their members about their running habits
Answers
The reasonable estimate would be 25
How to solve for the estimateWe have to solve this using the rule of 3
9 out of 30 members said that they run more than 5 days a week.
We will form the equations
when 9 ran = 30 menbers
when n ran = 84 members
we will then cross multiply
84 x 9 = 30 x n
n = 25.2
When we round this, the reasonable estimate would be 25
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Complete question
Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.
There are 84 Freemont Run Club members.
Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?
the product of two numbers and the difference them are 289 and 20 respectively. find the numbers
Answers
Answer:
x = 10 + √389, y = -10 + √389 // x = 29.7231, y = 9.72308
or
x = 10 - √389, y = -10 - √389 // x = -9.72308, y = -29.7231
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStandard Form: ax² + bx + c = 0Quadratic Formula: \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)Step-by-step explanation:
Step 1: Define Systems
xy = 289
x - y = 20
Step 2: Rewrite Systems
x - y = 20
Subtract x on both sides: -y = 20 - xDivide -1 on both sides: y = x - 20Step 3: Redefine Systems
xy = 289
y = x - 20
Step 4: Solve for x
Substitution
Substitute in y: x(x - 20) = 289Distribute x: x² - 20x = 289Rewrite [SF]: x² - 20x - 289 = 0Define variables: a = 1, b = -20, c = -289Substitute [QF]: \(x=\frac{20\pm\sqrt{(-20)^2-4(1)(-289)} }{2(1)}\)Exponents: \(x=\frac{20\pm\sqrt{400-4(1)(-289)} }{2(1)}\)Multiply: \(x=\frac{20\pm\sqrt{400+1156} }{2}\)Add: \(x=\frac{20\pm\sqrt{1556} }{2}\)Simplify: \(x=\frac{20\pm 2\sqrt{389} }{2}\)Factor GCF: \(x=\frac{2(10\pm \sqrt{389} )}{2}\)Divide: \(x=10\pm \sqrt{389}\)Step 5: Solve for y
Possibility 1: x = 10 + √389
Define equation: x - y = 20Substitute in x: (10 + √389) - y = 20Isolate y term: -y = 20 - (10 + √389)Isolate y: y = (10 + √389) - 20Combine like terms: y = -10 + √389Evaluate: y = 9.72308Possibility 2: x = 10 - √389
Define equation: x - y = 20Substitute in x: (10 - √389) - y = 20Isolate y term: -y = 20 - (10 - √389)Isolate y: y = (10 - √389) - 20Combine like terms: y = -10 - √389Evaluate: y = -29.7231Step 6: Identify Solutions
Possibility 1:
x = 10 + √389, y = -10 + √389
x = 29.7231, y = 9.72308
Possibility 2:
x = 10 - √389, y = -10 - √389
x = -9.72308, y = -29.7231
What is A−1? Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
Answers
Step-by-step explanation:
ooo matrics um if you give me a second ill solve it
a bag contains letter tiles. There are 6 vowels in the bag and 14 consonants. On michaels next turn, he will select a letter tile at random from the bag. determine if each of the following probabilities is true or false- P(vowel then vowel) = 3/38 - P( vowel then consonant) = 21/95 - P(consonant then consonant)= 49/100
Answers
Vowels + Consonants= 6+14= 20
P (vowel)= 6/20
P (consonant) = 14/20
Then
P (vowel then vowel) = (6/20)•(5/19) = 30/380. ITS TRUE
P (Vowel then consonant)= (6/20)•(14/19)= 84/380 = 21/95. ITS TRUE
P (Consonant then consonant)= (14/20)•(13/19) = 182/ 380. ITS FALSE
Y (4)
+4y ′′
+4y=0 A general solution with x as the independent variable is y(x)=
Answers
Answer:
Step-by-step explanation:
We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.
For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,
y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0
(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.
Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get
yp″=a1+2a2x....yp‴=2a2+3a3x+....
Substituting the general solution into the non-homogeneous equation, we get
a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)
So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:
a(n+1)=Y(n-2)/n^2
From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.
HELP ME PLEASE!!!!!!!!!!!!
Answers
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
Answers
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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1. You are the manager of a small store that specializes in hats, sunglasses, and other accessories. You are considering a sales promotion of a new line of hats and sunglasses. You will offer the sunglasses only to those who purchase two or more hats, so you will sell at least twice as many hats as pairs of sunglasses. Moreover, your supplier tells you that, due to seasonal demand, your order of sunglasses cannot exceed 100 pairs. To ensure that the sale items fill out the large display you have set aside, you estimate that you should order at least 210 items in all. Assume that you will lose $3 on every hat and $2 on every pair of sunglasses sold. Given the constraints above, how many hats and pairs of sunglasses should you order to lose the least amount of money in the sales promotion? [Using Graphic method]
Answers
Graphical techniques are widely used to assess whether the data support the fractionation of a single source or the mixture of two putative sources.
For 210 items in total there will be 140 number of hats and 70 number of pairs of sunglasses.
What is meant by Graphic method?To determine if the data support the mixing of two potential sources or the fractionation of a single source, graphical approaches are frequently used.
To better interpret their data, researchers now employ a variety of graphical tools, including scatterplots, box plots, and histograms. Graphs are excellent for illustrating trends, patterns, and correlations between variables as well as for displaying and summarizing vast volumes of numerical data.
We generate a graph for each equation in order to solve systems of equations or simultaneous equations graphically. Then, we search for the intersection of the two graphs. The system of equations would have a solution at the coordinates of the point of intersection.
Let x be the number of hats and y be the number of pairs of sunglasses.
The constraints exists:
2y = x (because for every 2 hats sold, 1 pair of sunglasses is sold)
y <= 100 (because the supplier can only provide 100 pairs of sunglasses)
x + y >= 210 (because you want to sell at least 210 items in total)
x, y >= 0 (because the number of items sold cannot be negative)
Lose in every hat is $3 and in Pair of Sunglasses is $ 2
Total loss in promotion or cost of promotion is
3x + 2y
For least purchase,
x + y = 210
⇒ x + x/2 = 210
⇒3x/2 = 210
⇒ x =140
y = 140/2 = 70
So, for 210 items in total there will be 140 number of hats and 70 number of pairs of sunglasses.
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For 210 items in total there will be 140 number of hats and 70 number of pairs of sunglasses.
What is meant by total?
Total refers to an entire or complete amount, and the verb "to total" means to combine two numbers or to destroy anything. In mathematics, you add integers to get the total; the outcome is the total. The result of adding 8 and 8 is 16. A car that has been totalled in an accident is irreparably damaged.the outcome of addition. For instance, adding 3 and 2 balls results in a total of 5 balls. Another illustration: The result of 12 + 4 + 6 = 22 is 22. Math is enjoyable.When you add up or count up all of something's components, you obtain the entire number or cost of that thing.Let x be the number of hats and y be the number of pairs of sunglasses.
The constraints exists:
2y = x (because for every 2 hats sold, 1 pair of sunglasses is sold)
y <= 100 (because the supplier can only provide 100 pairs of sunglasses)
x + y >= 210 (because you want to sell at least 210 items in total)
x, y >= 0 (because the number of items sold cannot be negative)
Lose in every hat is $3 and in Pair of Sunglasses is $ 2
Total loss in promotion or cost of promotion is
3x + 2y
For least purchase,
x + y = 210
⇒ x + x/2 = 210
⇒3x/2 = 210
⇒ x =140
y = 140/2 = 70
So, for 210 items in total there will be 140 number of hats and 70 number of pairs of sunglasses.
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x^3*x^?=x^17 I don't know what the is.
Answers
Answer:
14Step-by-step explanation:
x^3*x^?=x^17x^(3 + ?) = x^173 + ? = 17? = 14Answer:
First write the given equation\({:}\xrightarrow{ }\tt x^3×x^?=x^17 \)
Simplify\({:}\longrightarrow\tt x^{(3+?)}=x^17\)
\({:}\longrightarrow\tt 3+?=17 \)
Interchange sides\({:}\longrightarrow\tt ?=17-3 \)
\({:}\longrightarrow\tt ?=14 \)
Explore more:-Formulas of exponents:-\(\boxed{\begin{minipage}{5 cm}\bf{\dag}\:\:\underline{\text{Law of Exponents :}}\\\\\bigstar\:\:\sf\dfrac{a^m}{a^n} = a^{m - n}\\\\\bigstar\:\:\sf{(a^m)^n = a^{mn}}\\\\\bigstar\:\:\sf(a^m)(a^n) = a^{m + n}\\\\\bigstar\:\:\sf\dfrac{1}{a^n} = a^{-n}\\\\\bigstar\:\:\sf\sqrt[\sf n]{\sf a} = (a)^{\dfrac{1}{n}}\end{minipage}}\)
The number of days, d, required to complete a job varies inversely as the number of workers, w, on the job.
If it takes 9 days for 8 workers to complete a job, then how many workers would it take to do the job in 18 days?
Answers
It would take 18 days for 4 workers to complete the job.
Step-by-step explanation:
As d goes up, w goes down by the same amount.
X = 9*8 = 72
18*4 = 72
likewise, 2*36 = 72
3*24 = 72
6*12 = 72
And so on....
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answers
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
Perform the indicated operations.
c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)
Answers
The simplified expression is c²a³ - 3\(a^4\)c + a²bc² - a³bc - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²).
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
c +6b/(-2bc-6ab- 3a²) + 2b/(a² + 2ab) - b/(ac - 3a²)
Now, simplifying
(c+ 6b) (a² + 2ab)(ac - 3a²) + 2b(-2bc-6ab- 3a²)(ac - 3a²)- b (-2bc-6ab- 3a²)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)
= ca² + abc + 6a²b + ab² (ac - 3a²) + (4b²c - 12ab² - 6a²b)(ac - 3a²) - ( -2b²c - 6ab² - 3a²b)(a² + 2ab) / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)
= c²a³ - 3\(a^4\)c + a²bc² - 3a³bc + 6a³bc - 18\(a^4\)b + 4ab²c² - 12a²b²c - 12 a²b²c+ 36a³b - 6a³bc + 18\(a^4\)b + 2a²b²c + 4a³bc + 6a³b² + 12a²b³ - 3\(a^4\)b + 6a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)
= c²a³ - 3\(a^4\)c + a²bc² - a³bc - 3\(a^4\)b+ 4ab²c² - 22a²b²c + 36a³b + 12a³b² / (-2bc-6ab- 3a²)(a² + 2ab)(ac - 3a²)
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Find general solution. Show steps of derivation. Check your answer by substitution.
y´=sec^2(y)
Answers
So on solving the provided question we cans ay that trigonometry y =sec^2(y); y = 1/\(\sqrt{2}\)
what is trigonometry?The area of mathematics known as trigonometry examines the correlation between triangle side lengths and angles. The area first appeared in the Hellenistic era, around the third century BC. from the use of geometry in astronomical study. The area of mathematics known as exact methods deals with specific trigonometric functions and how they might be used in calculations. There are six popular trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their respective names and acronyms (csc). Studying the characteristics of triangles, particularly right triangles, is called trigonometry. The study of geometry, however, is the characteristics of all geometric figures.
y´=sec^2(y)
here, y = 90
y = sec^2(90)
y = 1/\(\sqrt{2}\)
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Drag the tiles to the correct locations on the image. Not all the tiles will be used.
The figure is a square, with side lengths as shown.
4√5mm
What are the perimeter and area of the square
Answers
The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
To calculate the perimeter and area of the square, we can use the formulas:
Perimeter = 4 * side length
Area = side length * side length
Substituting the given side length of 4√5mm into the formulas, we have:
Perimeter = 4 * 4√5mm = 16√5mm
Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²
Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².
Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.
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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².
I took the test on plato.
Can someone please look in the picture and help me solve it? Thank you and I appreciate any work :) I’ll give brainly
Answers
Answer:
The interest would be $52.50
Answer:550.25
Step-by-step explanation: it is
beacause it is 550.25
Evaluate the double integral ∬R(3x−y)dA, where R is the region in the first quadrant enclosed by the circle x2+y2=36 and the lines x=0 and y=x, by changing to polar coordinates.
Answers
Refer to the photo attached. I would appreciate a rate :)
please i’ll give you brainly thingy
Answers
Answer:
it would be 12
Step-by-step explanation:
divided 12.25 by 12 and it gives you 1.0 giving you the lowest out of all of them when doing the math
Answer:
D. 12
Step-by-step explanation:
PLEASE HELP, I ATTACHED AN IMAGE OF THE PROBLEM!!!
Answers
The correct rule of the transformation is,
⇒ Dilation of 0.5.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
We have to given that;
The coordinate of CDE are,
⇒ C (4, - 5), D (3, - 1), E (5, - 3)
And, After transformation the coordinate of image C'D'E' are,
⇒ C' (2, - 2.5) , D' (1.5, - 0.5), E' (2.5, - 1.5)
Now, We have;
⇒ C (4, - 5) = C' (2, - 2.5)
Let a dilation of the points = k
So, We can formulate;
⇒ 4 × k = 2
⇒ k = 2/4
⇒ k = 1/2
⇒k = 0.5
Hence, The correct rule of the transformation is,
⇒ Dilation of 0.5.
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choose the most convenient method to graph a line 3x - 2y equals -12
Answers
y-intercept would be, when x=0:
\(\begin{gathered} -2y=-12 \\ y=\frac{-12}{-2}=6 \end{gathered}\)x-intercept would be, when y=0:
\(\begin{gathered} 3x-2(0)=-12 \\ 3x=-12 \\ x=\frac{-12}{3} \\ x=-4 \end{gathered}\)Now, having these intercepts we can graph the line.
So, the most convenient method is to find x-intercept and y-intercept.
\(8 - 3w = - 2w\)
what's de solution?
Answers
3w+8=50
3w=50-8=42
w= 42/3=14
Given: sin 18° = p Without using a calculator,
Answers
Answer:
P = 0.309
Step-by-step explanation:
How do I win a zombies Cold War game
Answers
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answers
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
in a single power what is the answer to the following:
5 to the power of 3 divided by 5 ?
3 to the power of 6 divided by 3 ?
Answers
Answer:
a-25
b-243
5^3 = 125/3 = 25
3^6 = 729/3 = 243
125/5=25
3x3x3x3x3x3=729
729/3=243
there are 8 by 5 a student of our school if 120 are girl find the number of boys
Answers
Step-by-step explanation:
first took 8and divided by 5 and then times it
When a 3-digit number is rounded to the nearest ten and the nearest hundred, the difference is 50. What is the number?
Answers
Answer: 150?
Step-by-step explanation:
150 -> 200 200-150=50
150-> 150 200-150=50
!
A washer and dryer cost a total of 928$. The cost of the washer is three times the cost of the dryer. Find the cost of each item.
Answers
Answer:
Cost of Washer = $696
Cost of Dryer = $232
Step-by-step explanation:
Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.
Put the equation together, so we can add the x variables together.
3x + x = 4x
The total cost will be what the '4x' is equal to.
4x = 928
Going back to algebra, we solve the equation by dividing both sides by 4.
x = 232
Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.
3x
3(232) = 696.
To check the answer, we can add them together to make sure we get the total cost.
696 + 232 = 928
Person 1 just bought 3 pizzas to eat with 2 other friends. Person 1 ate 9/15 of their pizza, Person 2 ate 7/14 of their pizza and Person 3 ate 12/28 of their pizza. In order to determine who ate the least amount of pizza, please put the fractions into ascending order.
1.7/14, 9/15, 12/28
2. 9/15, 12/28, 7/14
3. 12/28, 7/14, 9/15
Answers
The least amount of pizza, put the fractions into ascending order be 9/15, 12/28, 7/14.
What is meant by fractions?A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction. A correct fraction has a numerator that is lower than its denominator.
A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components. Half of a whole number or item, for instance, is represented as 12.
Mathematical fractions are a way to express a portion of a whole numerically. Every number, a particular value, or an object can be the entire. P/q is a common way to represent fractions.
The pizza was consumed most by Person 2. Descending order (greatest to least) 5/9, 5/12, 3/8
Therefore, the correct answer is option 2. 9/15, 12/28, 7/14.
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Lois and her team used the number of red candies in a
small 9 ounce bag to predict the number of red candies in
a large 33 ounce bag. If Lois counted 12 red candies in the
small bag, Predict the number of red candies in the large bag.
Use proportional reasoning and show algebraic work.
Answers
Using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
Using proportional reasoning, we can set up and solve the following equation to determine the number of red candies in the large bag:
P = Proportion of red candies in the large bag
R = Red candies in the small bag
R × (33/9) = P
12 × (33/9) = P
P = 40 red candies in the large bag
Therefore, using proportional reasoning, we can predict that there will be 40 red candies in the large bag.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
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i am confused can someone help me
Answers
The shape is a depiction of how the diagonals of a rectangle have the same length and bisect each other.
How to prove that rectangle diagonals bisect each other ?In a rectangle, the diagonals are perpendicular bisectors of each other, which means that they intersect each other at their midpoints and divide each other into two equal parts. Moreover, since a rectangle has congruent opposite sides, the two diagonals are also congruent to each other.
We can see this with the diagonals, EG and DF as they bisect each other and intercept at the halfway point of H.
Find out more on rectangles at https://brainly.com/question/29011781
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The question is:
How does the figure prove the following statement:
The diagonals of a rectangle have the same length and bisect each other.