Answers
9514 1404 393
Answer:
24
Step-by-step explanation:
The product of lengths from the point where the secants meet to the near and far circle intersection points is the same for both secants.
RQ·RC = RS·RT
8(27) = (3x)(8x)
9 = x^2 . . . . . . . . . divide by 24
3 = x
Then the length of interest is ...
TR = 8x = 8·3
TR = 24
Related Questions
. Complete each statement:
a. Ten thousand is 1 more than _____
b. Ten thousand is 1,000 more than _______
c. Ten thousand is 10 more than________
d. Ten thousand is 100 more than______
Answers
b. nine thousand (9,000)
c. nine thousand nine hundred ninety (9,990)
d. nine thousand nine hundred (9,900)
a microscope has a scale of 250:1. What does this scale means?
Answers
Answer:- Things look 250 larger.
Answer:
2,500x.
Step-by-step explanation:
Solve the equation: -7/10 = 3a/4 - 13/20?
Help pleaseeee! Thanks
Answers
Answer:
Solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
Step-by-step explanation:
We need to solve the equation:
[tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
And find the value of a
Solving the equation: [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex]
First we will be Switching sides
[tex]\frac{3a}{4}-\frac{13}{20}=-\frac{7}{10}[/tex]
Now, for finding value of a we will be adding 13/20 on both sides
[tex]\frac{3a}{4}-\frac{13}{20}+\frac{13}{20}=-\frac{7}{10}+\frac{13}{20}[/tex]
[tex]\frac{3a}{4}=-\frac{7}{10}+\frac{13}{20}[/tex]
Now, on right hand side, Taking LCM of denominators i.e 10 and 20, we get 20 and simplifying:
[tex]\frac{3a}{4}=\frac{-7*2+13}{20}\\\frac{3a}{4}=\frac{-14+13}{20}\\\frac{3a}{4}=\frac{-1}{20}[/tex]
Now, multiply both sides by 4/3
[tex]\frac{3a}{4}\times \frac{4}{3} =\frac{-1}{20}\times \frac{4}{3}\\a=\frac{-1}{5}\times \frac{1}{3}\\a= \frac{-1}{15}[/tex]
So, solving the equation [tex]-\frac{7}{10}=\frac{3a}{4}-\frac{13}{20}[/tex] we get: [tex]\mathbf{a=-\frac{1}{15} }[/tex]
Please help with BOTh pics attached below. Since there are 2 i will give braineslt if u solve both of them, if you can only solve 1 that is fine tough
Answers
Answer:
[tex]1. x=27\\2. x=30[/tex]
Step-by-step explanation:
[tex]1.\ We\ are\ given\ that,\\Point\ W\ belongs\ to\ line\ VX\ or\ Point\ W\ lies\ in\ the\ line\ VX.\\Point\ Y\ belongs\ to\ line\ XZ\ or\ Point\ Y\ lies\ in\ the\ line\ XZ.\\\angle WXY=90\\Now\ let's\ consider\ \triangle XYW.\\We\ observe\ that,\\\angle XWY\ and\ \angle VWY\ form\ a\ linear\ pair\ and\ hence\ are\ supplementary.\\Hence,\\\angle XWY\ + \angle VWY\ =180\\\angle XWY=180- \angle VWY\\Substituting\ \angle VWY=6x\ in\ the\ equation\ (\angle XWY=180- \angle VWY),\\[/tex][tex]\angle XWY=180-6x\\Now\ \ \angle XWY\ and\ \angle WXY\ are\ interior\ angles\ opposite\ to\ \angle WYZ.\\\\Hence,\ from\ the\ 'Exterior\ Angle\ Property',\ we\ know\ that,\ the\\ measure of\ the\ \exterior\ angle\ is\ equal\ to\ the\ sum\ of\ the\ interior\ opposite\\ angles.\\Hence,\\\angle XWY + \angle WXY= \angle WYX\\Substituting\ \angle XWY=(180-6x),\ \angle WXY=90,\ \angle WYX=4x,\\(180-6x)+90=4x\\-6x-4x=-90-180 \\-10x=-270\\x=\frac{-270}{-10}\\x=27[/tex]
[tex]2. We\ are\ given\ that,\\Point\ N\ belongs\ to\ the\ line\ KO\ or\ Point\ N\ lies\ on\ the\ line\ KO.\\\angle LNM=45, \angle ONM=105, \angle NLM=90\\Hence,\\As\ we\ observe\ that,\\\angle LNM,\angle ONM\ and\ \angle KNL\ lie\ on\ the\ line\ KO\ and\ are\ hence,\\ supplementary.\\Hence,\\\angle LNM + \angle ONM\ + \angle KNL =180\\Substituting\ \angle LNM=45, \angle ONM=105,\\45+105+ \angle KNL=180\\150+ \angle KNL=180\\\angle KNL=180-150\\\angle KNL=30[/tex]
[tex]Hence\ by\ considering\ \triangle NML,\\\angle LNM + \angle NLM + \angle NML=180\ [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ by\ substituting\ \angle LNM=45, \angle NLM=90,\\45+90+\angle NML=180\\135+\angle NML=180\\\angle NML=180-135\\\angle NML=45\\Now,\ as\ we\ observe\ that\ \angle KNM= \angle KNL+ \angle LNM\\Hence\ by\ substituting\ \angle KNL=30, \angle LNM=45,\\\angle KNM=30+45\\\angle\ KNM=75\\[/tex]
[tex]Now,\ consider\ \triangle\ KNM,\\\angle NKM+ \angle KNM + \angle NMK=180 [Angle\ Sum\ Property\ Of\ A\ Triangle]\\Hence\ substituting\ \angle NKM=45, \angle KNM=75 , \angle NMK=2x,\\45+ 75 + 2x=180\\120+2x=180\\2x=180-120\\2x=60\\x=\frac{60}{2}\\x=30[/tex]
noelle is drawing fraction bars to model the sum of 1/5 and 3/4. What is the smallest number of equally sized pieces each fraction bar can be broken into to find the sum?
Answers
Answer:
the smallest number of equally sized pieces is 20
Step-by-step explanation:
The computation of the smallest number of equally sized pieces is as follows:
Given that
The sum of 1 by 5 and 3/4
Now
if we sum it
= 1 ÷ 5 + 3 ÷ 4
= 4 + 15 ÷ 20
= 19 ÷ 20
Now as if we do the lcm so the denominator sum be 20
Therefore the smallest number of equally sized pieces is 20
Marriage Prospects Data released by the Census Bureau in 1986 indicated the likelihood that never-married women would eventually marry. The data indicated that the older the woman, the less the likelihood of marriage. Specifically, two statistics indicated that women who were 45 and never-married had an 18 percent chance of marriage and women 25 years old had a 78 percent chance of marriage. Assume that a linear fit to these two data points provides a reasonable approximation for the function p=f(a), where p equals the probability of marriage and a equals the age of a never- married woman.
(a) Determine the linear function p=f(a).
(b) Interpret the slope and p intercept.
(c) Do the values in part b seem reasonable?
(d) If the restricted domain on this function is 20 sa s 50, determine f(20), f(30), f(40), and f(50).
Answers
Answer:
a. [tex]f(a) = -0.03a +1.53[/tex]
b. See Explanation
c. The slope is reasonable but the p intercept is not
d. [tex]f(20) = 93\%[/tex] [tex]f(30) = 63\%[/tex] [tex]f(40) = 33\%[/tex] [tex]f(50) = 3\%[/tex]
Step-by-step explanation:
Given
[tex]a = age[/tex]
[tex]p = probability\ of\ marriage[/tex]
[tex]a = 45[/tex] when [tex]p = 18\%[/tex]
[tex]a = 25[/tex] when [tex]p = 78\%[/tex]
Solving (a): The linear function
We start by calculating the slope, m
[tex]m = \frac{p_2 - p_1}{a_2 - a_1}[/tex]
[tex]m = \frac{78\% - 18\%}{25- 45}[/tex]
[tex]m = \frac{60\%}{-20}[/tex]
[tex]m = -3\%[/tex]
[tex]m = -0.03[/tex]
The function is then calculated as follows
[tex]p - p_1 = m(a - a_1)[/tex]
This gives:
[tex]p - 18\% = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03(a - 45)[/tex]
[tex]p - 0.18 = -0.03a +1.35[/tex]
Solve for p
[tex]p= -0.03a +1.35+0.18[/tex]
[tex]p= -0.03a +1.53[/tex]
Hence,
[tex]f(a) = -0.03a +1.53[/tex]
Solving (b): Interpret the slope and the p intercept
The slope is calculated as:
[tex]m = -0.03[/tex]
And it implies that, there is a 3% reduction in change of getting older as women get older
The p intercept implies that, there is a 1.53 chance for 0 years old female child to get married.
Solving (c): Is (b) reasonable
The slope is reasonable.
However, the p intercept is not because of the age of the woman
Solving (d): Determine f(20), f(30), f(40), f(50)
We have that:
[tex]f(a) = -0.03a +1.53[/tex]
[tex]f(20) = -0.03 * 20 + 1.53[/tex]
[tex]f(20) = -0.6 + 1.53[/tex]
[tex]f(20) = 0.93[/tex]
[tex]f(20) = 93\%[/tex]
[tex]f(30) = -0.03 * 30 + 1.53[/tex]
[tex]f(30) = -0.9 + 1.53[/tex]
[tex]f(30) = 0.63[/tex]
[tex]f(30) = 63\%[/tex]
[tex]f(40) = -0.03 * 40 + 1.53[/tex]
[tex]f(40) = -1.2 + 1.53[/tex]
[tex]f(40) = 0.33[/tex]
[tex]f(40) = 33\%[/tex]
[tex]f(50) = -0.03 * 50 + 1.53[/tex]
[tex]f(50) = -1.5 + 1.53[/tex]
[tex]f(50) = 0.03[/tex]
[tex]f(50) = 3\%[/tex]
Can u help??????????????????????????????????????//
Answers
Answer:
Okay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The answer is 14
Step-by-step explanation:
Folow order of operations and when doing multipactiona or subtraction or division and addition, make sure to go from left to right
Answer:
14
Step-by-step explanation:
Start with the multiplication. It should now look like this: [tex]20 - 15 + 81[/tex] ÷ [tex]9[/tex] Do the division: 81 ÷ 9 = 9Plug 9 in: [tex]20 - 15 + 9[/tex] Solve left to right in steps 5 and 6 below20 - 15 = 55 + 9 = 14So, the answer is 14I hope this helps!
The Data set shows the ages of the members of two clubs.
CLUB A: 42, 38, 40, 34, 37, 46, 38, 45
CLUB B: 30, 44, 42, 61, 24, 27, 59, 65 m
(10 Points)
Find the mean age for CLUB A :
Answers
Answer:
it goes by +4 and -4
Step-by-step explanation:
You can find the mean for club A by adding up every number in the set and then dividing by the amount of numbers in the data set:
So first we add up 42+38+40+34+37+46+38+45
Which = 320
Now we divide that number by 8 because there are 8 numbers in the data set (all the numbers we added up):
320/8=40
So now we know that the mean age is 40!
Hope this helps :)!
utomobiles arrive at the drive-through window at a post office at the rate of 7 every 10 minutes. The average service time is 7 minutes. The Poisson distribution is appropriate for the arrival rate and service times are exponentially distributed. (Note: the given equations are NOT necessarily in the correct order.) What is the average time a car is in the system?Formulas for 13.17 What is the average number of cars in the system? What is the average time cars spend waiting to receive service? What is the average number of cars in line behind the customer receiving service? What is the probability that there are no cars at the window? What percentage of the time is the postal clerk busy? What is the probability that there are exactly two cars in the system?
Answers
Answer:
The answers to the questions are well numbered below.
Step-by-step explanation:
We have arrival rate
λ = 7 in every 10 minutes = 0.7
Service time u = 7 minutes
1. Average time a car is in system
W = 1/u - λ
= 1/7-0.7
= 0.1587
= 0.16 to 2 decimal places
2. Average number of cars in system
= λ/u-λ
= 0.7/7-0.7
= 0.1111
= 0.11 to 2 decimal places
3. Average time that cars spend to receive service
= λ/u(u-λ)
= 0.7/7(7-0.7)
= 0.01587
= 0.016 to 2 decimal places
4. Average number of cars in line behind customer receiving service
= λ²/u(u-λ)
= 0.7²/7(7-0.7)
= 0.49/44.1
= 0.011 to 2 decimal places
5. Probability no cats at window
1-λ/u
= 1-0.7/7
= 0.9 = 9%
6. Percentage of time postal clerk is busy
= λ/u = 0.7/7 = 0.1 = 10%
7. Probability of exactly 2 cars
= λ²e^-λ/2!
= 0.7²e^-0.7/2!
= 0.1217
= 12.17%
Combine Like terms: 9x + 3x + 4 + 6 *
Answers
Answer:
12x+10
Step-by-step explanation:
9x+3x=12x
and
4+6=10
The Canadian labor force as of 2019 was 32.7 million. There were 30.9 million employed What the unemployment rate would be?
Answers
Answer:
The unemployment rate would be 5.5%.
Step-by-step explanation:
It is given that,
The Canadian labor force as of 2019 was 32.7 million.
There were 30.9 million employed
We need to find the unemployment rate.
Unemployed = labor force - employed
= 32.7 - 30.9
= 1.8 million
[tex]\text{unemployment rate}=\dfrac{\text{unemployed}}{\text{labor force}}\times 100\\\\=\dfrac{1.8}{32.7}\times 100\\\\=5.5\%[/tex]
So, the unemployment rate would be 5.5%.
Grace was given a large box of 54 chocolates for her birthday. If she eats exactly 6
chocolates each day, how many chocolates would Grace have remaining 6 days after
her birthday?
This is an arithmetic sequence question
Answers
Please asnerw this pic attached below
Answers
Answer:
x = 30
Step-by-step explanation:
Look at triangle LMN.
m<NLM + m<M + m<MNL = 180
90 + m<M + 45 = 180
m<M = 45
Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
<ONM is an exterior angle of triangle KMN.
The remote interior angles are <K and <M.
m<K + m<M = m<ONM
2x + 45 = 105
2x = 60
x = 30
Answer: x = 30
Instructions
Scientific notation is a tool that is used frequently in science, including astronomy, chemistry, biology, and more. In this activity, imagine that you are a student intern at NASA and are researching information about travel within our solar system. You will complete a series of tasks using what you know about scientific notation and what you discover about our solar system to calculate distances that astronauts may use for their next trip to space.
Part 1
Using technology or other resources, research the average distance that each planet is from the sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the sun. The sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:
Planet Distance from sun (in km) Distance in scientific notation
Mercury 57,909,000
Answers
Answer:
We use scientific notation to lessen the load in terms of calculation that must be done. Its often good practice to go to the tenth place.In terms of your question please look at the provided image!Answer:
5.7909 * 10^7
Step-by-step explanation:
Scientific notation uses a number from 1 to under 10 and an integer power of 10.
57,909,000 = 5.7909 * 10,000,000 = 5.7909 * 10^7
i need help with 2&3
Answers
Answer:
2) no
3) yes
Step-by-step explanation:
i think. sorry if im wrong
Answer:
2 No
3 Yes
Step-by-step explanation:
x = ky
Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 2 is proportional.
6 = -2k, k = 6/-2, k = -3
7 = -1k, k = 7 / -1, k = -7
8 = 0k, k = 8 / 0, k = 0
9 = k, k = 9
2 is not proportional.
Substitute the values of x and y to check if it's proportional. Then solve for k. If k is the same for all 4 equations, then 3 is proportional.
-70 = -10k, k = -70 / -10, k = 7
-56 = -8k, k = -56 / -8, k = 7
-14 = -2k, k = -14 / -2, k = 7
-7 = -k, k = -7 / -1, k = 7
3 is proportional.
ANSWER NOW PLEASE
for a singing contest in which 42,000 votes were cast, the winner received 3/5 of the votes. how many votes did the winner not receive
Answers
Given,
Total number of votes casted = 42,000
The winner received 3/5 of the votes.
To find,
How many votes did the winner not receive.
Solution,
Votes received by the winner is :
[tex]\dfrac{3}{5}\times 42000\\\\=25200[/tex]
Votes didn't received by the winner = Total votes - votes received
= 42,000 -25200
= 16800
Hence, 16800 votes is not received by the winner.
a circle has a diameter of 5 inches. What is the area of the circle in terms of pi
Answers
Answer:
The area of the circle is [tex]\mathbf{6.25\pi}[/tex]
Step-by-step explanation:
Area of a Circle
A circle of radius r has an area calculated by the following formula:
[tex]A=\pi r^2[/tex]
The diameter of a circle is twice the radius, thus the radius is half the value of the diameter.
A given circle has a diameter of 5 inches.
The radius of this circle is r = 5/2 = 2.5 inches.
Thus, the area is calculated below:
[tex]A=\pi 2.5^2 = 6.25\pi[/tex]
The area of the circle is [tex]\mathbf{6.25\pi}[/tex]
The lay in Burlington collected $3 930 in overdue fees last year. This year, the library
collectieted 3144 What is the percent of decrease in the amount collected?
Answers
Answer:
We conclude that the percent of decrease = 20%
Step-by-step explanation:
Given
Original amount = $3930Amount of decrease = $3930 - $3144 = $786Using the formula
Percent of decrease = ( amount of decrease / orignal amount × 100 ) %
= ( 786 / 3930 × 100 ) %
= ( 0.2 × 100 ) %
= 20%
Therefore, we conclude that the percent of decrease = 20%
Which of the following equations would produce a parabola? Check all that apply. –5x^2 + 4x – 7y + 14 = 0 –x^2 + 6x + y2 – 8 = 0 9x2 – 12xy + 4y2 + 4x – y + 5 = 0 12x + 6y – 5y2 + 14 = 0 20x2 + 10xy – y2 + 3x – 6y + 5 = 0
Answers
Answer:
A= –5x2 + 4x – 7y + 14 = 0
C= 9x2 – 12xy + 4y2 + 4x – y + 5 = 0
D= 12x + 6y – 5y2 + 14 = 0
Step-by-step explanation:
I finished the assignment from Edge2020
The equation which would produce a parabola from the provided options are equation first and forth,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
How to identify the type of conic section from an equation?To of identify the type of conic section from an equation whether it is parabola, or not, let suppose the equation as,
[tex]Ax^2+By^2+Cx+Dy+E=0[/tex]
If In this equation,
Either [tex]A=0[/tex] or [tex]B=0[/tex], but not both. Then it is the equation of parabola.
The first equation is,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
There is no square term of y. Thus, this is the equation of parabola.
The second equation is,
[tex]-x^2 + 6x + y^2 - 8 = 0[/tex]
This is not the equation of parabola, as there is two square terms of variable x and y.
The third equation is,
[tex]9x^2 - 12xy + 4y^2 + 4x - y + 5 = 0[/tex]
Similar to the second equation, here is also two square terms of different variable. Thus, it is not a equation of parabola.
The fourth equation is,
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
This equation is the equation of parabola, as there is only a single square term.
The fifth equation is,
[tex]20x^2 + 10xy - y^2 + 3x - 6y + 5 = 0[/tex]
This is now the equation of parabola because of two square terms.
Hence, the equation which would produce a parabola from the provided options are equation first and forth,
[tex]-5x^2 + 4x - 7y + 14 = 0[/tex]
[tex]12x + 6y -5y^2 + 14 = 0[/tex]
Learn more about the conic section here;
https://brainly.com/question/8320698
Translations have a certain notation:
If we want to move a point 5 units to the left and then up 9 units we show it like this:
(x-5 , y+9)
Why is the 5 a negative and the 9 positive?
Answers
Answer:
Because when your finding a point on the x line going left goes towards the negative side, like a number line. So for the y line think of it like the number line but going up is positive and going down is negative.
so if we wanted to go right 6 units and down 3 units it would written as:
(x+6,y-3) Because going right on the x line is like adding 6 units and going down on the y line is like subtracting 3 units for this example
Step-by-step explanation:
In an area of the Great Plains, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). Calculate the linear correlation coefficient.
Rainfall (in inches) X 8.3 6.6 11.2 103 16.6 8.1 4.8 13.4 13.8
Yield (bushels per acre). y 55.5 512 63.8 64 874 542 36.9 81 83.8
a. 0.900
b. 0.998
c. 0.899
d. 0.981
Answers
Answer:
D. 0.981
Step-by-step explanation:
Given :
Rainfall (in inches) X
8.3
6.6
11.2
10.3
16.6
8.1
4.8
13.4
13.8
Yield (bushels per acre). y
55.5
512
63.8
64
87.4
54.2
36.9
81
83.8
Using the Pearson regression Coefficient calculator :
The Regression Coefficient (R) value obtained is 0.9808 = 0.981 wgi h sig ifues a strong positive relationship between inches of Rainfall and bushel yield.
PLEASE HELP!! I NEED THIS ANSWER TO GET A GOOD GRADE!!!!!
Answers
Answer:
-5-4
Step-by-step explanation:
Let me know if I am wrong, if I am I apologize.
Have a good one.
A recipe for rice pudding calls for 2.5 cups of milk. The recipe makes 5 servings. How many cups of milk are needed to make 8 servings?
Answers
Step-by-step explanation
2.5 cups = 5servings
x cups = 8servings
2.5*8 = 5*x
20 = 5x
divide both sides by the coefficient of x
20/5 = 5x/5
4 = x
i.e x = 4
Which of the following systems of equations is an example of one where substitution is the best method?
A.)5x+3y=15
-3x+6=12
B.)y=2/7y+11
3x-4y=-24
C.)4x-5y=20
-6x+2y=-42
D.)x=4
Y=11
Answers
Answer:
B
Step-by-step explanation:
B is the best example where substitution is the best method since you already have one where y = something and you can plug -2/7x + 11 into the bottom equation for y and solve it that way. A and C make you get x or y by itself first first substitution would work and D already gives you the answers. B is the best since its already set in that format.
eighteen 2.5 gallon buckets are needed to fill a cistern with water. how many 3 gallon buckets of water would gill the cistern?
PLEASE ANSWER I WILL MARK BRAINLIEST!
Answers
Answer:
15
Step-by-step explanation:
45÷3
This is the correct awnser
answer asap please!!
Alex has three times as many
cards as David. If the average
number of cards that Alex and
David have is 20, how many cards
does Alex have?
Answers
Multiply
3 by 20.
You can do this on paper,
20
x
3
____
60
Multiply the ones spot first, 0 x 3 is 0 so add that in your ones spot, then go 2x3 since nothing is under to, just go to 3 and you’ll get 6, which you add to the tens spot.
Have a good day!
At the start of a month a customer spends $3 for a reusable coffee cup. She pays $2 each time she has the cup filled with coffee. At the end of the month she has paid
$53. Write an equation to show x number of refills she got for the month.
Answers
Answer: x=25
If it represents a number does it always represent 40% of number ?
Answers
Answer:
No
Step-by-step explanation:
Grade 6 - End of term assessment
Question 7
A seamstress needs to cut 15-inch pieces of ribbon from a roll of ribbon that is
9 feet in length. What is the greatest number of 15-inch pieces the seamstress
can cut from 5 of these rolls of ribbon?
Show your work.
Answers
Answer:
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
Step-by-step explanation:
Given
Total length of one roll of ribbon = 9 feet
As the pieces have to be cut into inches, we will convert the measurement in feet to inches
As there are 12 inches in one feet, 9 feet will be equal to:
9*12 = 108 inches
Now first of all, we have to see how many 15 inches pieces can be cut from one role
So,
[tex]=\frac{Length\ of\ roll}{Length\ of\ piece}\\=\frac{108}{15}\\=7.2[/tex]
So the seamstress can cut 7 15-inch long pieces from a roll.
Now given that he has to cut from 5 rolls, the total number of 15-inch pieces will be:
[tex]= 5 * 7 =35[/tex]
Hence,
The greatest number of 15 inches pieces that can be cut from 5 rolls of length 9 feet is: 35
An ice cream shop offers 3 ice cream flavors 3 types of syrup and 2 toppings for sundaes
Answers
Answer: 18
Step-by-step explanation: