Answers
.. longest piece : shortest piece = 3 : 1
Then
.. longest piece : total length = 3 : (3 +1) = 3 : 4
or
.. (longest piece)/(total length) = 3/4
.. longest piece = (total length)*(3/4)
.. = (9.4 m)*(3/4)
.. = 7.05 m
.. ≈ 7.1 m . . . . . . rounded to the nearest tenth meter
Related Questions
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
Answers
Explanation
1) Simulate the counting of the bills:
number of bills counted value ones digit
1 5 5
2 5 + 5 = 10 0
3 10 + 5 = 15 5
4 15 + 5 = 20 0
5 20 + 5 = 25 5
6 25 + 5 = 30 0
2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...
If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
When counting $5 bills, the values are $5, $10, $15, $20, $25, $30 with a pattern in the one digits of 5, 0, 5, 0, 5, 0. This demonstrates the pattern of addition with multiples of five.
Explanation:Marvin is counting $5 bills, hence each time he counts a bill the total value increases by $5. The values Marvin counts are $5, $10, $15, $20, $25, $30.
The one digits in these values form a pattern, specifically, they are 5, 0, 5, 0, 5, 0.
This pattern repeats every two counts: a 5 followed by a 0. This is because adding 5 to a multiple of 10 results in a number ending in 5, and adding another 5 results in another multiple of 10, which always ends in 0.
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Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each.How much money does Boderick need to add to his account to cover his checks ? Show your work.
Answers
Broderick initially has $420, adds $213 from deposits, and needs $1,243 for checks, resulting in him needing to add $610 to cover his checks.
Explanation:To calculate how much money Broderick needs to add to his account to cover his checks, we must first figure out his total deposits and then subtract the total amount he needs for the checks.
Broderick starts with $420 in his account and makes 6 deposits of $35.50 each. To find the total amount deposited, we multiply the number of deposits by the amount of each deposit:
6 deposits × $35.50/deposit = $213Adding this total to his initial amount gives us:
$420 + $213 = $633Next, Broderick needs to write 4 checks for $310.75 each. The total amount for the checks is:
4 checks × $310.75/check = $1,243To determine how much additional money is needed, we subtract Broderick's available money from the total amount needed for the checks:
$1,243 (total for checks) - $633 (total available in account) = $610Therefore, Broderick needs to add $610 to his account to cover the checks.
Marcus saves $13 each week.in how many weeks will he saved at least $100
Answers
So your answer is 8 weeks
Hope this helps:D
Have a great rest of a brainly day!
13 × a = 100
divide both sides by 13 , and you get a = 7.7 (approximately)
So round it to the nearest whole number which is 8 .
it would take approximately 8 weeks to save $100
Find the volume of this sphere.
Answers
The formula I use is 4(3.14)(r^3)/3, I think it's easier, but that's just me. Hope this helps! ٩(ര̀ᴗര́)
The number of visitors to a certain Web site triples every month. The number of visitors is modeled by the expression 300 •3m, where m is the number of months after the number of visitors was measured. Evaluate the expression for m=minus−1. What does the value of the expression represent in the situation?
Answers
the expression is (300)*(3^m)
for m=-1
(300)*(3^-1)---------> (300)*(1/3)=100
The value of expression at m=-1 is 100, so there were 100 visitors 1 months before the number of visitors was measured
An architect has a scale drawing of an addition that is to be added to a house with a scale of 1 inch : 2 feet. If the drawing is 6 inches by 10 inches, how big is the addition to the house going to be?
Answers
In order for us to solve this problem, we will be needing to form a ratio just like the ones the question provides to us. In case you don't quite understand how to do it, don't fret and watch me explain it. I will also be attaching an image with all the work shown in case you need extra help.
As we know, the scale of the house is 1 inch : 2 feet. First of all, let's balance the unit sizes by converting 2 feet into inches, thus making the problem much easier.
One foot is 12 inches, meaning that two feet should be two times more than 12 inches.
[tex]12(2)=24[/tex]
Great! We can now form the balanced ratio. It is going to be 1 inch : 24 inches. Now, let's form an actual ratio with plugged in unknown variable in order for us to solve for it.
[tex] \frac{1}{24} : \frac{6}{x} [/tex]
According to the ratio, our numerator on the right side is six time bigger than numerator on the left side, meaning that our denominator on the right side is six times bigger than denominator on the left side as well. Keeping this in mind, let's solve for it.
[tex]24(6)=144[/tex]
Awesome! One of the sides is 144 inches. We are left with only one side which is 10 inches on the scale. Let's form the same ratio and solve for it.
[tex] \frac{1}{24} : \frac{10}{x} [/tex]
Just like we did in our last step, let's multiply the left denominator with the right numerator.
[tex]24(10)=240[/tex]
We now know values of two sides, and we can set it as our answer.
Answer:144 by 240 inches is the size of the house.
Three different two digit numbers total is 286.what is the smallest of the three numbers
Answers
99 + 98 = 197, + 89 = 286.
The smallest number is 90.63
We have three different two digit numbers total is 286.
We have to determine the smallest of the three numbers.
A two-digit number and a three-digit number sum up to give a value [tex]x[/tex] which is greater than 1000. Which number is the smallest ?The two digit numbers can be in only in range of 1 to 99.
While a three digit number can be in range from 100 to 1000.
Hence, the two-digit number is smallest.
According to the question -
Let's assume that the three numbers are - x, y and z.
Now -
x + y + z = 286
If we assume three equal two digit numbers will together make 286, than each two digit number will be = [tex]\frac{286}{3}[/tex] = 95.33.
In this case - x = 95.33 y = 95.33 z = 95.33
Now, subtract 95.33 from 100 = 100 - 95.33 = 4.7
Assume, that we take 4.7 out from x, then x will be equal to -
x = 95.33 - 4.70 = 90.63
And divide 4.7 equally to both y and z -
y = z = 97.6
However, you can divide the 4.7 in any ratio among the numbers y and z for getting different numbers. Since we are focused on finding the smallest number of three we will not do it here.
Hence, the smallest number is x = 90.63
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Which completely describes the polygon
A: equilateral
B: equiangular
C: regular
D: congruent
the shape is Hexagon
Answers
PLZZZZ HELP WILL MARK BRAINLIEST
Which statement is true about the distribution?
A line ranging from 10 to 45 with boxes between 15 and 25, and 25 and 40.
A.The IQR is the best measure of variability because the distribution has no outliers.
B.Either the IQR or the range are good measures of variability because the distribution has an outlier.
C.The range is the best measure of variability because the distribution has an outlier.
D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
Answers
The correct answer is : D.Either the IQR or the range are good measures of variability because the distribution has no outliers.
Hopes this helps u :D
Answer:
answer is not that asnwer is iat the bottom
Step-by-step explanation:
Either the IQR or the range are good measures of variability because the distribution has no outliers.
help its easy i just have to much work! i need 4-8
Answers
.. 7x -(6 -2x) = 3
.. 9x = 9 . . . . . . . . . add 6, collect terms
.. x = 1
.. y = 6 -2*1 = 4
(x, y) = (1, 4)
5. Substituting for x:
.. 3(y -4) +y = 12
.. 4y = 24 . . . . . . . add 12, collect terms
.. y = 6
.. x = 6 -4 = 2
(x, y) = (2, 4)
6. Substituting for x:
.. 4(y -5) -y = 4
.. 3y = 24 . . . . . . . add 20, collect terms
.. y = 8
.. x = 8 -5 = 3
(x, y) = (3, 8)
7. y = 2x -6 . . . . . add 2x to the first equation
Substituting for y:
.. 5x -(2x -6) = 9
.. 3x = 3 . . . . . . . add -6, collect terms
.. x = 1
.. y = 2*1 -6 = -4
(x, y) = (1, -4)
8. x = 2 -3y . . . . . add -3y to the first equation
Substituting for x:
.. y -(2 -3y) = -6
.. 4y = -4 . . . . . . . add 2, collect terms
.. y = -1
.. x = 2 -3*(-1) = 5
(x, y) = (5, -1)
Line JM intersects line GK at point N. Which statements are true about the figure? Check all that apply.
GNJ is complementary to JNK.
MNL is complementary to KNL.
MNG is complementary to GNJ.
KNJ is supplementary to MNL.
GNM is supplementary to JNK.
Answers
First, we must know this: Complementary angles are two angles whose sum is equal to 90°, while supplementary angles are two angles whose sum is equal to 180°. That been said, the only statement which is true is the second statement, MNL is complementary to KNL
Reasons why others are False
GNJ is supplementary to JNK, not complementary
MNG is supplementary to GNJ, not complementary
LNJ (not KNJ) is supplementary to MNL
GNM is equal to JNK, not supplementary
Answer:
its 2 and 5
Step-by-step explanation:
Can someone help me find the value of b? Thank you!
Answers
Solve the equation V - E + F = 2 for E
Answers
The given equation can be solved in terms of E as E = V + F - 2.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation is V - E + F = 2.
It can be solved as,
⇒ V - E + F = 2
⇒ V + F = 2 + E
⇒ E = V + F - 2
Hence, the solution for E can be obtained as E = V + F - 2.
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Final answer:
The equation V - E + F = 2 is solved for E by simple algebraic manipulation, resulting in the solved equation E = V + F - 2.
Explanation:
To solve the equation V - E + F = 2 for E, we need to isolate E on one side of the equation. This can be done through simple algebraic manipulation as follows:
Start with the original equation: V - E + F = 2.Add E to both sides: V + F = E + 2.Now, subtract 2 from both sides to solve for E: E = V + F - 2.The solved equation for E is thus E = V + F - 2.
This equation shows the relationship between the vertices (V), edges (E), and faces (F) in a polyhedron, known as Euler's formula in the context of geometry.
Ben and Angela were riding their bicycles one afternoon. They kept track of their own cycling rates, as shown in the graphs below.
Answers
The student's question pertains to the mathematical analysis of motion, specifically through the interpretation of velocity versus time and position versus time graphs related to cycling activities and races.
Explanation:The question involves interpreting graphs that represent the velocity versus time and position versus time of two individuals riding bicycles and a race between friends. Students in middle school are often introduced to concepts of speed, velocity, and displacement and are tasked with analyzing graphs to understand these concepts in a practical scenario. The problem sets mentioned, including the velocity-time graphs, position-time graphs, and measurements of motion through various activities such as biking or collision events, are all connected to the mathematical analysis of motion in physics. By understanding how to read these graphs, students can determine factors such as constant velocity, average speeds, displacement, and the outcomes of simple collisions. These skills are essential in developing an understanding of kinematics, which is a branch of classical mechanics that describes the motion of points, objects, and systems of bodies without considering the causes of motion.
Solve the system of equations.
4x-9y - 2=0
12x-5y+38=0
x equals?
y equals?
Answers
II: 12x-5y+38=0
start by eliminating x by multiplying the first equation by 3 and subtracting II:
3*(4x-9y-2)-(12-5y+38)=3*(0)-0
12x-27y-6-12x+5y-38=0
-22y-44=0
-44=22y
-2=y
-> insert y=-2 in I:
4x-9*(-2)-2=0
4x+18-2=0
4x+16=0
4x=-16
x=-4
so the solution is y=-2 and x=-4
Answer:(-4,-2)
Step-by-step explanation:
a man deposited$800 in his account at a bank which offers 6% simple interest per annum. how much interest would he receive on the $800 after 9 months?? how long would it take for the $800 to increase to $992
Answers
It would take 1.8 years to to get $992 with a 6% simple interest annually.
What is simple interest?Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.
Simple Interest = (Principal × Rate × Time) / 100
Given that man deposited $800 in his account at a bank which offers 6% simple interest per annum.
Principal = $800
Rate = 6%
Time = 9
Simple Interest = (Principal × Rate × Time) / 100
Simple Interest = (800× 6× 9) / 100
Simple Interest = 432 dollar
Also, Simple Interest = (Principal × Rate × Time) / 100
$992 = (800 × 6× Time) / 100
992 = 48× Time
Time= 20.6
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If 3p+4q=8 and 4p+3q=13, what is q equal to?
Answers
write 0.21 as a fraction in simplest form
Answers
0.21 = 0.21
Now we do a fraction
21/100
That is in it's lowest terms
~Deceptiøn
0.21 as a fraction in simplest form is 21/100.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number 0.21 into a fraction by converting it into a percentage as follows;
0.21 = 21/100
Fraction: 21/100 = 0.21.
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What is the approximate solution of this system of equations?
y = x2 + 3x + 3
y = x2 + x + 2
(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)
Answers
Please help me i need help please please
Answers
Answer:
√(100² + 60²) = √(10,000 + 3,600) = √13,600 = 20√34 = about 116.6 m
116.6 goes into the box.
I’m rohmbus ABCD, AB= 14 and AC= 26. Find the area of the rhombus to the nearest tenth.
Answers
we know
In a rhombus ABCD , AC = 26 , AB = 14
the diagonals of a rhombus are perpendicular bisectors of each other
AX = XC = 13. triangle ABX is a right triangle with hypotenuse 14.
From the pythagoras theorem AB² = AX² + BX²
14² = 13² + BX²
196 = 169 + BX²
27 = BX²----- > BX=√27
BX = 5.20
The four triangles formed by construction of the diagonals are all congruent since the diagonals are perpendicular bisectors.
Total area of the rhombus is 4 times of ABX triangle
the answer is the option D) 135.1 units ²
What is 24% of w plus 50% of y?
Answers
Answer:
0.24w+0.5y
Please give me brainiest
Your cookie recipe calls for 34 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you need? ...
Answers
Hope this helps ;)
Jessica opened an appeal shop five years ago.
Answers
Which sample is representative of the population being studied?
A.To learn the in-flight seat preferences of passengers, an airline polls all its business travelers.
B.To learn how many Americans like action movies, a group of students survey people at a downtown movie theater.
C.To learn which of two writers, Charles Dickens or Leo Tolstoy, is more popular among students of literature, Dean surveyed students in one college library.
D.To learn how many students at her school spend more than $10 on books in a month, Mia speaks to every sixth student she meets in the school hallway.
Answers
Answer:
D
Step-by-step explanation:
Jonah finished a race in 11.62 seconds. Marco finished the same race in 9.8 seconds. How many seconds faster did Marco finish the race than Jonah?
A. 1.82 seconds
B. 2.22 seconds
C. 10.64 seconds
D. 11.36 seconds
Answers
The value of a boat is $23,400. It loses 8% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
(NOT 67%)
Answers
Final answer:
The approximate monthly percent decrease in value is 0.67%.
Explanation:
To find the approximate monthly percent decrease in value, we need to first calculate the annual percent decrease. We know that the boat loses 8% of its value every year. So, the annual percent decrease is 8%.
To find the monthly percent decrease, we need to divide the annual percent decrease by 12 (since there are 12 months in a year).
Therefore, the approximate monthly percent decrease in value is 0.67%.
Final answer:
The approximate monthly percent decrease in value of the boat that depreciates at 8% annually is 0.65% when rounded to the nearest hundredth of a percent.
Explanation:
To find the monthly percent decrease in value of a boat that costs $23,400 and depreciates 8% annually, we need to calculate the equivalent monthly rate. The formula for monthly depreciation is (1 - (1 - annual depreciation rate)^(1/12)). In this case, the annual depreciation rate is 0.08 for 8%. Applying the formula, we get:
Monthly depreciation = 1 - (1 - 0.08)^(1/12) = 1 - (0.92)^(1/12)
= 1 - (0.92)^(0.08333...)
= 1 - 0.99347... (value calculated using a calculator)
= 0.00653... or 0.653% (after converting to a percentage).
To round to the nearest hundredth of a percent, we get approximately 0.65% monthly depreciation. This is the approximate monthly percent decrease in the boat's value.
A recycling bin is in the shape of a right rectangular prism. The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.
What is the volume of the recycling bin?
Answers
The volume of the recycling bin will be 429 m³.
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The bin is 12 meters long, 5 1/2 meters wide, and 6 1/2 meters tall.
Now,
Since, We know that;
The volume of right rectangular = Length x Width x Height
Hence, The volume of right rectangular prism = 12 x 5 1/2 x 6 1/2
= 12 x 11/2 x 13/2
= 3 x 11 x 13
= 429 m³
Thus, The volume of the recycling bin will be 429 m³.
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The sum of the square of two negative numbers is 74. The difference is 24. determine the two numbers
Answers
The required negative numbers are -5 and -7.
What is a quadratic equation?The quadratic equation is defined as a function containing the highest power of a variable is two.
Let the required negative numbers be x and y.
The sum of the square of two negative numbers is 74.
(x)² + (y )² = 74
x² + y² = 74
(x)² - (y)² = 24
y² - x² = 24
y² = x² + 24
Substitute the value of y² = x² + 24 in the equation x² + y² = 74,
x² + 24 + x² = 74
2x² = 74 - 24
2x² = 50
x² = 25
x = √25
x = ±5
x = 5, -5
Take the negative value as per the question.
Substitute the value of x = -5 in the equation y² = x² + 24,
y² = (-5)² + 24
y² = 25 + 24
y² = 49
y = √49
y = ±7
y = - 7
Therefore, the required negative numbers are -5 and -7.
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Final answer:
The problem is solved by converting the given conditions into a system of equations, which is then solved to find the two negative numbers. The numbers obtained, -3 and -27, satisfy both given conditions.
Explanation:
The question provided is a mathematical problem involving the determination of two negative numbers given that their squares sum to 74 and their difference is 24. Let's denote the smaller number as x and the larger number as y. The given conditions can be represented by two equations: [tex]x^2 + y^2 = 74[/tex] and y - x = 24.
To find the values of x and y, we solve these equations simultaneously. First, use the second equation to express y in terms of x:
y = x + 24
Then, substitute this expression for y into the first equation:
[tex]x^2 + (x + 24)^2 = 74[/tex]
This simplifies to a quadratic equation in x, which can be solved to find the value of x, and subsequently, y can be determined using the expression
y = x + 24.
After solving the quadratic equation, you find that the two negative numbers are -3 and -27, satisfying both the sum of their squares equaling 74 and their difference being 24.
Solver the equation 5= w + 1.5.
Answers
subtract both sides by 1.5
3.5 = w
ANSWER: w= 3.5
Hope this helps! :)