For each bag, BALLIO would have needed 2.25 (or 2 1/4) yards of fabric.
What is unitary method?"A way to find a multiple unit value from a single unit value as well as the reverse."
In every case, we first count the unit or amount value before figuring out the more or less amount value.
This method is referred to as a unified procedure for this reason.
By dividing the set value by the quantity of sets, one can find numerous set values.
By dividing several set values by the total number of sets, one can determine a set value.
According to our question-
9 bags you are making
must be the same
divide the nine bags by the four yards
2.25 yards per bag
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the temp was very cold. then the temp doubled, then the temp dropped by 10 degrees the temp increased by 40 degrees. the temp is now 16 degrees. what was the starting temp?
Answer:
-7
Step-by-step explanation:
We dont know the starting temperature so we will just put x for the starting temperature
The temp is first doubled so x*2
Then the temp drops by 10 so 2x-10
After that the temp increases by 40 so 2x-10+40
2x-10+40=16
2x+30=16
2x=16-30
2x=-14
x= -14/2
x=-7
The ratio of boys to girls is 2 to 6. If there are 36 students in class, how many boys are there?
Answer:
9 boys, 27 girls
Step-by-step explanation:
2 boys : 6 girls = 1 boy : 3 girls
Let b = number of boys and g = number of girls.
[tex] \frac{1}{3} = \frac{b}{g} [/tex]
[tex]g = 3b[/tex]
[tex]b + 3b = 4b = 36[/tex]
[tex]b = 9[/tex]
[tex]g = 27[/tex]
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 12 17 44 27
Which of the following graphs correctly displays the data?
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27 ,and the fourth bar labeled chocolate chips going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled Sprinkles going to a value of 12, the second bar labeled Nuts going to a value of 17, the third bar labeled Hot Fudge going to a value of 44, and the fourth bar labeled Chocolate Chips going to a value of 27 correctly displays the data.
the median and mean of : 24 , 44 , 10 , 22
Answer:
The mean is 25 and the median is 23
find the area of the figure
Answer: 165 square cm
Step-by-step explanation:
what is the value of the expression 5(7+y)*z when y=0.4 and z=1.6
a 59.2
b 65.4
c 79.3
d 592
5(7+y)*z
y = 0.4 and z = 1.6
5(7+y)*z
(35 + 5y)*1.6
[35 + 5(0.4)]*(1.6)
(35 + 2)*1.6
37 * 1.6
59.2
Thus, the answer is a) 59.2
41st term of 12,19,26
Answer:
292
Step-by-step explanation:
To find the 41st term of the sequence 12, 19, 26, we need to first find the common difference, d, between consecutive terms. We can do this by subtracting the first term from the second term (or the second term from the third term). So the common difference is 7. Now we can use the formula for the nth term of an arithmetic sequence. where an is the nth term, a1 is the first term, d is the common difference, and n is the term we want to find. Substituting the given values, you get the 41st sequence is 292.
You are playing a board game. The board game uses a "spinner" that has the numbers 1 through 7 inclusive (ie: you flick the needle on the spinner and it indicates a random number, 1 through 7). It also uses a single 6-sided die. On any given turn, what are the odds that you will spin a 3? Ignore the die roll. Put your answer in the form of a decimal (ex: a 30% chance would be written 0. 3)
The odds of spinning a 3 on any given turn is 1 out of 7 or 14%. This can be expressed as a decimal by dividing 14 by 100, which yields probability of 0.14.
To calculate this, we divide the number of favorable outcomes (1) by the total number of possible outcomes (7). This is the same as the probability of spinning a 3 on a given turn, which can be expressed as a decimal, fraction, or percentage.The odds of spinning a 3 on any given turn is 1 out of 7 or 14%. This can be expressed as a decimal by dividing 14 by 100, which yields 0.14. To calculate this, we divide the number of favorable outcomes (1) by the total number of possible outcomes (7). This is the same as the probability of spinning a 3 on a given turn, which can be expressed as a decimal, fraction, or percentage.
P(Spin a 3) = favorable outcomes/ total outcomes
= 1/7
= 0.14
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In an examination, 60 candidates passed Integrated Science or Mathematics. If 15 passed both subjects and 9 more passed Mathematics than Integrated Science, find the: (i) number of candidates who passed each subject. (ii) probability that a candidate passed exactly one subject.
Answer:
i) 42 candidates passed Mathematics, 33 candidates passed Science.
ii) There is a 75% chance that a candidate passed exactly one subject.
Step-by-step explanation:
So we know that in total there are 60 candidates, and 15 passed both.
That leaves us with 45 candidates that passed either science or math. Since 9 more passed math than science, we see that out of those 45, 27 candidates passed math and 18 passed science. We add the 15 that got through both to each number, which means in total 42 candidates passed Mathematics, 33 candidates passed Science.
To see the probability, we know that 45 out of 60 only passed one subject. Simplified is 3/4 or 75%.
Is the line shown on the scatter plot a good line of fit? Choose the best explanation.
This is not a line of best fit because it does not pass through two of the data points. Option D
What is the line of best fit?The line of best fit is a straight line that is used to represent the general trend in a scatter plot or a set of data points. It is also known as the regression line, as it is often used in regression analysis to model the relationship between two variables.
The line of best fit is chosen to minimize the distance between the line and the data points, typically by minimizing the sum of the squared errors (the differences between the actual y-values and the predicted y-values on the line).
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Find the values that complete the table at the right for y=-4x
The table of values of the equation y = -4x is
x y
-2 8
-1 4
0 0
1 -4
How to complete the table of values of the equationGiven that
y = -4x
To find the values that complete the table for the given equation y=-4x, we substitute each value of x and evaluate y.
When x = -2, y = -4x = -4(-2) = 8
When x = -1, y = -4x = -4(-1) = 4
When x = 0, y = -4x = -4(0) = 0
When x = 1, y = -4x = -4(1) = -4
So the completed table is:
x y
-2 8
-1 4
0 0
1 -4
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Please help!!! even if you awnser one is will help so much
Answer:
See attached.
Step-by-step explanation:
Helping in the name of Jesus.
Find an equation of the circle with radius 2√10 and centre (0, 0).
Submit Answer
Answer:
x ² + y² = 10 if the 2 symbolizes root orx² + y² = 40Step-by-step explanation:
WILL GIVE BRAINLYEIST
Answer:
82 square feet
Step-by-step explanation:
The surface area of this pyramid:
[tex]5(4) + 2(\frac{1}{2} (4)(7) + \frac{1}{2} (5)(6.8))[/tex]
[tex]20 + 2(14 + 17)[/tex]
[tex]20 + 2(31) = 20 + 62 = 82[/tex]
If X+5=7, then X = ?
Answer:
x=2
Step-by-step explanation:
x=7-5
x=2
Thank you for your question
Sara is designing a cardboard box to hold identical soda cans. Each can holds 450 cubic centimeters of soda. The cans are cylinder at are 12 centimeters tall. The cans fit in the box in rows of 3 shown below.
The figure is not drawn below
The box must hold 15 total soda cans, Sarah wants to make the box as small as possible in order to minimize the cost of the materials used, what length to the nearest whole centimeter should she make the box?
The length that Sarah should make the box in order to minimize the cost of the materials used, is 18 cm.
How to find the length of the box?We know that each can holds 450 cubic centimeters of soda and is 12 centimeters tall. Let's first find the radius of the soda can.
The volume of a cylinder is given by the formula:
V = πr²h
Plugging in the given values:
r = √(450 / (π x 12))
r ≈ 1.77 cm
Now, we know that the box must hold 15 soda cans, and they fit in the box in rows of 3. This means there are 3 rows along the width and 5 rows along the length of the box.
Width: 3 cans x diameter = 3 x 2 x 1.77 ≈ 10.62 cm (since the diameter is twice the radius)
Length: 5 cans * diameter = 5 x 2 x 1.77 = 18 cm
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Finding angles - I don't know the method to solve this can someone explain please?
The rectangle ABCD have measures of angle a and b derived to be 69° and 138° respectively to the nearest degree.
How to calculate for the measures of angle in the rectangle ABCDConsidering the right triangle ADC,
tan ACD = 6/16 {opposite/adjacent}
ACD = tan⁻¹(6/16)
ACD = 20.5560
ACD = 21° to the nearest degree
Angle ACD = Angle ABD, and ABD and a are complementary angles, so;
a + ABD = 90°
a + 21 = 90°
a = 90 - 21
a = 69
The angle b forms an isosceles triangle with the angles C and D, so;
b = 180 - 2(21) {sum of interior angles of a triangle}
b = 180 - 42
b = 138°
Therefore, the rectangle ABCD have measures of angle a and b derived to be 69° and 138° respectively to the nearest degree.
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QM= 31, RM= 21, and PM= 4PN
Determine whether ------ || ------
NR PQ. Justify your answer.
I need help who can help with this
By determining in triangle MPQ, NR || PQ, if QM= 31, RM= 21 and PM= 4PN , [tex]\frac{PN}{NM} \neq \frac{QR}{RM}[/tex] , So correct option is A.
Describe Triangles?A triangle is a three-sided polygon that consists of three line segments, or sides, that intersect at three points, or vertices. Triangles are one of the fundamental shapes in geometry and have numerous properties and applications in mathematics, science, and engineering.
Triangles can be classified based on the lengths of their sides and the measures of their angles. Triangles with three equal sides are called equilateral triangles, while triangles with two equal sides are called isosceles triangles. Triangles with no equal sides are called scalene triangles. Triangles can also be classified based on the measures of their angles, with acute triangles having all angles less than 90 degrees, obtuse triangles having one angle greater than 90 degrees, and right triangles having one angle equal to 90 degrees.
The Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, is a fundamental concept in trigonometry and has numerous practical applications.
Overall, triangles are an important shape in mathematics and have many practical applications in fields such as engineering, architecture, and physics.
As shown in the question:
QM= 31, RM= 21, PM= 4PN
So RQ= 31-21= 10
[tex]\frac{PN}{NM} = \frac{1}{3}\\[/tex]
[tex]\frac{QR}{RM}= \frac{10}{21}[/tex]
So, [tex]\frac{PN}{NM} \neq \frac{QR}{RM}[/tex]
NR and PQ are not parallel .
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The complete question is:
a telephone call center uses two customer service representatives (csrs) during the 8:30 a.m. to 9:00 a.m. time period. the standard service rate is 2.0 minutes per telephone call per csr. assuming a target labor utilization rate of 70 percent, how many calls can these two csrs handle during this half-hour period? round your answer to the nearest whole number.
A telephone call center uses two customer service representatives (csrs) during the 8:30 a.m. to 9:00 a.m. time period. the standard service rate is 2.0 minutes per telephone call per csr. assuming a target labor utilization rate of 70 percent, Therefore, these two CSRs can handle approximately 3 calls during this half-hour period.
Given a telephone call center uses two customer service representatives (CSRs)
during the 8:30 a.m. to 9:00 a.m. time period, and the standard service rate is 2.0 minutes per telephone call per CSR. Assuming a target labor utilization rate of 70%,
we have to determine the number of calls these two CSRs can handle during this half-hour period.
The formula to calculate the number of calls that can be handled during this half-hour period is:
Number of calls = (number of servers x utilization rate x service time) / arrival rate
= (2 x 0.70 x 2) / 1
= 2.8 calls (rounded to the nearest whole number)
Therefore, these two CSRs can handle approximately 3 calls during this half-hour period.
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the square root of 0.2468
Answer:
2468
Step-by-step explanation:
Let f(x)= x² + 5x - 8.
What is the average rate of change from x = 2 to x = 6?
Enter your answer in the box.
The average rate of change of the function f(x) from x = 2 to x = 6 is 13.
What is a function?In mathematics, a function is a rule that associates each element of a set (called the domain) with a unique element in another set (called the range). In other words, a function is a relationship between two sets, where each element of the domain is paired with exactly one element in the range.
According to the given information:To find the average rate of change of the function f(x) from x=2 to x=6, we need to calculate the slope of the secant line between the two points.
The formula for the average rate of change of a function f(x) from x=a to x=b is:
average rate of change = (f(b) - f(a)) / (b - a)
In this case, a = 2 and b = 6. So we have:
average rate of change = (f(6) - f(2)) / (6 - 2)
Now, let's substitute the values of f(6) and f(2) in the above equation:
average rate of change = ((6)² + 5(6) - 8 - (2)² - 5(2) + 8) / (6 - 2)
average rate of change = (36 + 30 - 8 - 4 - 10 + 8) / 4
average rate of change = 52 / 4
average rate of change = 13
Therefore, the average rate of change of the function f(x) from x = 2 to x = 6 is 13.
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6. Given the graphs of a system of linear equations below, is there a solution to the system that we cannot see on this portion of the coordinate plane? That is, will the lines intersect somewhere on the plane not represented in the picture? Explain. 0 11 12. 10
The two lines will be parallel and won't overlap anywhere if they have separate intercepts but the same slope.
given
It appears from the graph that the two lines cross at the location (10, 0). But it's possible that the system has a solution that can't be seen from this part of the coordinate plane.
We would need further information about the slopes and intercepts of the two lines in order to establish whether there is a solution that we cannot see in this region of the coordinate plane.
We have already located the spot on the graph where the two lines will intersect if their slopes and intercepts are different.
The two lines will be parallel and won't overlap anywhere if they have separate intercepts but the same slope.
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Th e surface area S, in square units, of a sphere with volume V, in cubic units, is given by the formula S 5 p 1 3(6V) 2 3. What is the surface area of a sphere with volume 4 3 mi3? Write your answer in terms of p 1 3. Show your work.
According to the question the surface area of the sphere with volume 4/3 mi^3 is: S = 4π^(1/3) square units.
Explain volume?The volume of a cube is measured in terms of the total amount of cube unit that something that fills. Simply put, volume is the entire amount of space that an object occupies. The formula a3, wherein there is the cube's edge, can be used to determine the cube's volume.
The formula given is:
[tex]S = \pi ^(1/3) * (6V)^(2/3)[/tex]
We are given that [tex]V = 4/3 mi^3[/tex]. Substituting this into the formula:
[tex]S = π^(1/3) * (6(4/3))^(2/3)\\S = π^(1/3) * (8)^(2/3)[/tex]
Now we need to evaluate [tex]8^{2/3}[/tex]. This means finding the number that, when raised to the power of 3, gives us 8. This is the cube root of 8, which is 2:
[tex]8^{2/3} = (2^3)^(2/3)= 2^(3*2/3)= 2^2 = 4[/tex]
Substituting this back into the formula:
[tex]S =\pi ^(1/3) * 4[/tex]
So the surface area of the sphere with volume [tex]4/3 mi^3[/tex]is:
[tex]S = 4\pi ^(1/3)[/tex]square units.
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Giving brainly to correct answer Complete the following proof:
Column A
Reason 2:
Reason 3:
Reason 4:
Reason 5:
STATEMENT 6:
Reason 6:
Column B
a. ASA
b. Reflexive Property of Congruence
c. AAS
d. Alternate Exterior Angles Theorem
e. SSS
f. Symmetric Property of Congruence
g. SAS
h. Transitive Property of Congruence
i. WX ≅ ZY
j. Given
k. CPCTC
l. Alternate Interior Angles Theorem
The reasons that completes the proof to show that WX ≅ ZY are:
2. Given; 3. Alternate Interior Angles Theorem 4. Reflexive Property of Congruence 5. AAS 6. CPCTC.
How to Complete the Proof?Given that WX║ZY and <X ≅ <Z, we can prove that WX ≅ ZY as shown below in the proof.
Statements Reasons
1. WX║ZY 1. Given
2. <X ≅ <Z 2. Given
3. <XWY ≅ <ZYW 3. Alternate Interior Angles Theorem
4. WY ≅ WY 4. Reflexive Property of Congruence
5. ΔWZY ≅ ΔYXW 5. AAS
6. WX ≅ ZY 6. CPCTC
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a patient spent 25 minutes waiting in the reception area before seeing a doctor. the visit with the doctor lasted 5 minutes. what is the value-added percentage of the patient? multiple choice 80% 17% 20% 83%
The patient value-added percentage is 17%. The doctor and the waiting are the two separate activities that happened one after another in the hospital. The value-added time is the time that creates value for the customers or patients.
Patient value-added percentage refers to the percentage of time that adds value to the patient.
The patient value-added percentage can be calculated using the following formula,
Value-added percentage = Value-added time ÷ Total time
The given values are,Waiting time = 25 minutes
Visit time = 5 minutes
Total time = Waiting time + Visit time= 25 + 5= 30 minutes
The value-added time is the time that creates value for the customers or patients.
The visit time is the value-added time in this case.
Value-added time = Visit time= 5 minutes
Putting the values in the formula,
Value-added percentage = Value-added time ÷ Total time= 5 ÷ 30= 1 ÷ 6= 0.1666...
The value-added percentage is 16.66… which is approximately 17%.Therefore, the patient value-added percentage is 17%.
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Cuanto es 13131312316273612618273681723617312863217682116+2364235425427542654273654236452547
Answer:
1.31313123x10^{46}
Step-by-step explanation:
please help!! 20 points for those who help
Graph the line with an x-intercept of 3 and a y-intercept of -2.
Plot two points to graph the line.
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
The expressions in the table represent how far two friends rode their bicycles on a bike trail.
Rider Miles Biked
Jackson 4n + 2
Ayanna 3n + 5
Write an expression that shows the difference between the miles ridden by Jackson and the miles ridden by Ayanna.
Part A: The total distance that the both friends covered with their bicycle = 7n + 7
Part B: The difference between the miles ridden by Jackson and the miles ridden by Ayanna would be =n-3.
How to calculate the total distance that was covered by both friends?The distance that was covered by;
Jackson = 4n + 2
Ayanna = 3n + 5
Total distance = 4n + 2+3n + 5
= 7n + 7
The difference between the both distance = (4n + 2)- 3n + 5
= 4n+2-3n-5
= n -3
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There are 60 office suites company a has 1/3 of computers company b has 2/5 of computers how many are in company c building
there are 9 office suites in company C and the total number of office suites in the three companies is 75. To solve this problem, we first need to find out how many office suites company A and company B have. Let's represent the total number of office suites in the three companies as x.
Company A has 1/3 of the computers, which means they have 1/3 of the office suites as well. So the number of office suites in company A is:
1/3 * x = x/3
Company B has 2/5 of the computers, which means they have 2/5 of the office suites as well. So the number of office suites in company B is:
2/5 * x = 2x/5
To find out how many office suites are in company C, we can use the fact that the total number of office suites is 60. So we can write an equation:
x/3 + 2x/5 + C = 60
We can simplify this equation by finding a common denominator for the first two terms:
5x/15 + 6x/15 + C = 60
11x/15 + C = 60
Now we can solve for C by isolating it on one side of the equation:
C = 60 - 11x/15
To find the value of x, we can use the fact that the total number of office suites is 60:
x/3 + 2x/5 + (60 - 11x/15) = 60
Multiplying both sides by 15 to eliminate the denominator, we get:
5x + 6x + 900 - 11x = 900
Simplifying, we get:
x = 75
So the total number of office suites in the three companies is 75. To find out how many are in company C, we can substitute x into the equation we found for C:
C = 60 - 11x/15 = 60 - 11(75)/15 = 9
Therefore, there are 9 office suites in company C.
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There are 60 office suites company a has 1/3 of computers company b has 2/5 of computers how many are in company c buildingservice the computers?
. Company A services the computers at 1/3 of the office suites A.16
. Company B services the computers at 2/5 of the office suites B.20
. Company C services the computers at x of the office suites C. 24
D. 28
Need HELP ASAP!!!! RIGHT NOW!!!! THIS INSTANT!!!!
The value of a brand new car is $10,000 and the value depreciates 18% every year. Write a function to represent the value of the car after t years, where the quarterly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per quarter, to the nearest hundredth of a percent.
The car is depreciating by about 0.68% every quarter.
What is quarterly rate?Quarterly rate is a financial term that refers to the interest rate applied to a loan or investment that compounds every quarter, or every three months.
According to question:Let f(t) represent the car's worth after t years. We can write a function to represent the value of the car after t years as follows:
f(t) = 10000(1 - 0.18/4)[tex]^(4t)[/tex]
In this function, the quarterly rate of change is 0.18/4 = 0.045. The value of the car is depreciating by 4.5% every quarter.
To determine the percentage rate of change per quarter to the nearest hundredth of a percent, we can use the formula:
r = [tex](1 - q)^4[/tex] - 1
where q is the quarterly rate of change (0.045 in this case) and r is the percentage rate of change per quarter.
Plugging in the values, we get:
r = [tex](1 - 0.045)^4[/tex] - 1
r ≈ -0.68%
So the car is depreciating by about 0.68% every quarter.
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