Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must
be brought to the hospital.
By using the Law of Syllogism, a conditional should be used to write this statement "If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital" as follows: B. If the baby has a fever, then the baby must be brought to the hospital.
What is the Law of Syllogism?In Mathematics, the Law of Syllogism is sometimes referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.
Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:
Conditional statement 1: If P, then Q (P ↔ Q).
Conditional statement 2: If Q, then R (Q ↔ R.
Conditional statement 3: If P, then R ( P ↔ R).
In this context, we can reasonably infer and logically deduce that a sick baby must be taken to hospital based on the given premise in accordance with the Law of Syllogism.
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Complete Question:
Use the Law of Syllogism to write a conditional for the following statement.
If a baby has a fever, then the baby is sick. If a baby is sick, then the baby must be brought to the hospital.
answer choices
If the baby is sick, then the baby must be brought to the hospital.
If the baby has a fever, then the baby must be brought to the hospital.
If the baby has a fever, then the baby is sick.
n divide 10 and 2 exponent = 0.123
n = _______
Expand and simplify the following
b) √5 (√10+ √2)
Answer:
[tex]5\sqrt{2}+\sqrt{10}[/tex]
Step-by-step explanation:
[tex]\sqrt{5}(\sqrt{10}+\sqrt{2}) \\ \\ =\sqrt{50}+\sqrt{10} \\ \\ =5\sqrt{2}+\sqrt{10}[/tex]
Which image shows a reflection?
Answer: Option 4
Step-by-step explanation:
in option 4, the image is reflected, so it is a reflection.
9-6.25clarence had 6.5 cups of cereal in a food container in his pantry. he opened a new box of cereal and poured in enough to fill the 10-cup container completely. let x represent how much cereal was in the box to start. which inequality describes the problem?
The inequality that describes the problem is x + 6.5 ≥ 10.
This means that the amount of cereal in the box, represented by x, must be greater than or equal to 3.5 cups (10-6.5=3.5) in order to fill the 10-cup container completely. This means that the box of cereal must have contained at least 3.5 cups of cereal for Clarence to have enough to fill the 10-cup container completely. To calculate the amount of cereal in the box, we can subtract 6.5 from 10 to get 3.5 cupsTo solve this inequality, we add 6.5 to both sides of the equation, resulting in x ≥ 3.5. This means that Clarence needed at least 3.5 cups of cereal in the new box in order to fill the 10-cup container completely.
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How do you know if a triangle is sine cosine or tangent?
The three sides and three angles of a triangle must first be known before you can determine whether it is sine, cosine, or tangent.
The lengths of the sides of the triangle can be determined by employing the trigonometric functions sine, cosine, and tangent with these measurements.
For instance, you can use the sine, cosine, and tangent functions to determine the sides' lengths given the triangle's three angles. The length of the opposite side divided by the length of the hypotenuse is equal to the sine of an angle. The cosine of an angle is the product of the lengths of the sides that are adjacent and the hypotenuse. The length of the opposite side divided by the length of the adjacent side is the tangent of an angle.
The ratios of the sides can be compared to determine whether the triangle is a sine, cosine, or tangent triangle after these lengths have been calculated.
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The coefficient of x^2 in the expansion of (x+3)(x+k)(2x-5) is -3. Find the value of the constant k.
The coefficient of x² is negative 3. Then the value of the constant 'k' will be negative 3.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The coefficient of x² in the expansion of (x + 3)(x + k)(2x - 5) is -3. Then the product of the expressions is given below.
⇒ (x + 3)(x + k)(2x - 5)
⇒ (2x² + 6x - 5x - 15)(x + k)
⇒ (2x² + x - 15)(x + k)
⇒ 2x³ + x² - 15x + 2kx² + kx - 15k
⇒ 2x³ + (1 + 2k)x² + (k - 15)x + kx
Then the coefficient of x² is negative 3. Then the equation is given as,
1 + 2k = - 3
2k = - 4
k = - 2
The coefficient of x² is negative 3. Then the value of the constant 'k' will be negative 3.
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3gh squared x 4g 3 h 3
Answer: 324 squared
Step-by-step explanation:
ok so you do 3 times 3 times 4 times 3 times 3
What is the biggest 3 digit odd number?
Answer:
Step-by-step explanation:
999
what is the axis of symmetry of the function f(x)=x^2-8x+17
The axis of symmetry if the function f(x) = x² - 8x + 17 is solved to get 4
What is a quadratic function?The function f(x) = ax² + bx + c, where a, b, and c are numbers and a is not equal to zero, is a quadratic function.
A parabola is a curve that represents a quadratic function on a graph.
The line that divides the function into two is the axis of symmetry. The axis of symmetry is given by the formula
= b / 2a
Comparing with the equation in the problem
b = 8 and a = 1
= 8 / (2 * 1)
= 8 / 2
= 4
the axis of symmetry is 4
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The table shows the ratio that Gary used to make bottles of glitter glue.
Bottles Glue Glitter
1 4.6 2.3
4
How much glue and glitter would he need to make 4 bottles?
Gary would need 9.2 oz glue and 18.4 oz of glitter to make 4 bottles.
Gary would need 18.4 oz glue and 9.2 oz of glitter to make 4 bottles.
Gary would need 23 oz glue and 11.5 oz of glitter to make 4 bottles.
Gary would need 18.4 oz glue and 4.6 oz of glitter to make 4 bottles.
Answer:
The numbers that you gave are ordered weird on my screen, but it should be the second answer - 18.4 glue and 9.2 glitter
Step-by-step explanation:
Just multiply all the numbers by 4
4.6 x 4 = 18.4
4 + 4 + 4 + 4 = 16
16 + 0.6 + 0.6 + 0.6 + 0.6 = 18.4
2.3 x 4 = 9.2
2 + 2 + 2 + 2 = 8
8 + 0.3 + 0.3 + 0.3 + 0.3 = 9.2
Use the Laplace transform to solve the given integral equation: f(t) = 4t 16 sin(t) flt t) dt f(t)
The Laplace transform of the given integral equation is:
[tex]F(s) = L{f(t)} = ∫(0 to ∞) e^(-st)f(t) dt\\f(t) = L^-1{F(s)} = ∫(0 to ∞) e^(st)F(s) ds[/tex]
Given the equation
[tex]f(t) = 4t + 16sin(t) + ∫(0 to t) e^(t-u)f(u) du[/tex],
we can take the Laplace transform of both sides:
[tex]F(s) = L{f(t)} = L{4t + 16sin(t)} + L{∫(0 to t) e^(t-u)f(u) du}[/tex]
Using the properties of the Laplace transform, we have:
[tex]L{4t} = 4/s^2\\L{16sin(t)} = 16/s^2 + 16s\\L{∫(0 to t) e^(t-u)f(u) du} = F(s)L{e^(t-u)} \\= F(s)e^(-u)(1/s-1)^u|(0,t) \\= F(s)(e^(-t)/s - 1)[/tex]
By substituting these results into the equation, we get:
[tex]F(s) = (4/s^2 + 16/s^2 + 16s) + (F(s)(e^(-t)/s - 1))[/tex]
Solving for F(s) we get:
[tex]F(s) = (4/s^2 + 16/s^2 + 16s)/(1 - e^(-t)/s)[/tex]
To find f(t) we need to take the inverse Laplace transform of F(s)
[tex]f(t) = L^-1{F(s)} = L^-1{(4/s^2 + 16/s^2 + 16s)/(1 - e^(-t)/s)}[/tex]
This is the solution of the integral equation in terms of the Laplace transform.
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do you think that for every positive integer n there is a circle in the plane which contains exactly n lattice points in its interior?
Yes , it is possible that t for every positive integer n there is a circle in the plane which contains exactly n lattice points in its interior
A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.
A formal power series that encodes the coefficients of a sequence of numbers is a generating function.
Here, the coefficients of the sequence {Sₙ} are encoded by the generating function S(x). where Sₙ is the number of lattice paths as described above.
Here we will use the fact that the generating function for a sequence satisfies a functional equation that relates the generating function to the sequence itself to prove that 1 + (x – 1)S(x) + xS(x)² = 0,
Here, the functional equation is
S(x) = 1 + xS(x) + xS(x)²
This equation implies that
The term 1 on the right-hand side corresponds to the fact that to reach the point (0,0) (the starting point), there is exactly one way which is to stay at the starting point.
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Solving one step equations:
Multiply or divide by the same amount on both sides so that the variable is by itself.
9i = -63
Answer;
i=-7
Step-by-step explanation;
TBH we have all we need its given to us in the question, divide both sides by the same amountt
9i=-63
divide by 9 to leave i alone
i=-7the one step equation is solved
Answer:
[tex] \sf \: i = - 7[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of i.
The equation is,
→ 9i = -63
Then the value of i will be,
→ 9i = -63
→ (9i) ÷ 9 = (-63) ÷ 9
→ (i) = (-7)
→ [ i = -7 ]
Hence, the value of i is -7.
order from least to greatest
-2 -2 1/2 -3 -3.5 2.5
According to the given information in the question order from least to greatest -3.5, -3, -2, -2 1/2, 2.5.
More negative number becomes more small i.e. -3.5 will be smallest in the given question.
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A new park in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12). How long is each side of the park
Each side of the park has a length of 11 units.
In mathematics, a side is a geometrical shape's aspect. Lines (line segments) and points make up the shapes we see (vertices). The vertices of these line segments connect to form a shape. These line segments are referred to as sides.
To calculate the length of each side, we can use the distance formula: d = √((x2 - x1)2 + (y2 - y1)2). For example, to calculate the length of the side between (26.5, 12), and (38.5, 7), the equation would be d = √((38.5 - 26.5)2 + (12 - 7)2) = √(120 + 52) = √172 = 11.208. All sides have a length of 11 units.
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jessie hiked all 3 trails. the trail was 2 3/4 miles the second trail was 1 7/8 miles and the third was 1 1/3 how manty miles did jessie hike all together
The total distance hiked can be written as the mixed number:
(7 + 8/13) miles.
How many miles did Jessie hike all together?We know that Jessie hiked all 3 trails, such that:
The first trail is (2 + 3/4) miles.The second trail is (1 + 7/8) miles.The third trail is (1 + 1/3) miles.To find the total distance that Jessie hiked, we just need to add these mixed numbers, we will get:
(2 + 3/4) mi + (1 + 7/8) mi + (1 + 1/3) mi
We can group like terms, there we will get:
(2 + 3/4) mi + (1 + 7/8) mi + (1 + 1/3) mi
(2 + 1 + 1) mi + (3/4 + 7/8 + 1/3) mi
4mi + (13/8 + 1/3) mi
4mi + 47/13 mi
We can rewrite the fraction as:
47/13 = 39/13 + 8/13 = 3 + 8/13
Then the total distance hiked is:
(4 + 3 + 8/13)mi
(7 + 8/13) miles.
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(a) Simplify this expression. 7x² +9x²-x²
7x²+9x²-x² = 15x²
use DMAS rule,
The DMAS rule describes the following arrangement of the mathematical function.
D- Division
M - Multiplication
A- addition
S- subtraction
DMAS rule is used to make the binding order of infix notation explicit for people who are learning to do more than just 'sums' or 'products'.
So, by applying the above rule the solution is as follows:
first, we need to solve addition because there is no division and multiplication
as per the equation, it is the addition function
7x² + 9x² = 16x²
next,
now perform the subtraction function
16x²-x² = 15x²
therefore,
7x²+9x²-x² = 15x²
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4/9 +5/6 please answer
Answer: 5/18
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 1/18 use a fraction calculator
What is a bar graph? What is a Pareto chart? What is a bar graph? O A. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category The segments are proportional to the frequency of its category O B. A bar graph is a horizontal or vertical representation of the frequency or relative trequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency O C. A bar graph represents the frequencies of values either from left to-right or right-to-left. The different segments of the bar are used to indicate the different frequencies of each category
b) A bar graph is a horizontal or vertical representation of the frequency or relative frequency of the categories. The height of each rectangle represents the frequency category's frequency or relative frequency.
A C. A Pareto chart is a bar graph whose bars are drawn in decreasing order of frequency or relative frequency t of each rectangle represents the category's frequency or relative frequency
A bar graph is used to represent data that is categorical or numerical. It is typically used to compare different categories of data, such as sales figures for different products or the number of students in different grades in a school.
The data is typically represented in a horizontal or vertical bar chart, with the length of each bar representing the quantity of the data. The categories are usually arranged from highest to lowest in a bar graph.
A Pareto chart is a specific type of bar graph. It is used to show the distribution of data into different categories and the relative importance or frequency of each category.
The categories are typically arranged in order of importance, with the most important or frequent category first and the least important or frequent category last. The bars in a Pareto chart are usually drawn in descending order, with the highest category on the left.
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Complete question:
What is a bar graph? What is a Pareto chart? What is a bar graph? O A. A bar graph is a circular graph that uses bars to divide it into segments corresponding to each category The segments are proportional to the frequency of its category O B. A bar graph is a horizontal or vertical representation of the frequency or relative trequency of the categories. The height of each rectangle represents the of the frequency category's frequency or relative frequency o c. A bar graph represents the frequencies of values either from left to-right or right-to-left. The different segments of the bar are used to indicate the different frequencies of each category What is a Pareto chart O A. A Pareto chart is a combination of a pie chart and a bar graph O B. A Pareto chart is a display of two data sets side ty side where the heigh O C. A Pareto chart is a bar graph whose bars are drawn in decreasing order of trequency or relative trequency t of each rectangle represents the category's frequency or relative frequency
Devon lends $2, 700.00 to Claudia at a simple interest of 12% per year. Claudia returned him $3,000.00 and a video game console after 3 years to clear the account. What is the price of the video game console?
To calculate the price of the video game console we need to calculate the simple interest first:
Simple Interest = (Principal x Rate x Time)
Simple Interest = (2700 x 0.12 x 3) = $972.00
Now we know the interest, we can calculate the price of the video game console by subtracting the interest from the total amount Claudia returned:
Price of the video game console = $3,000.00 - $972.00 = $2,028.00
So, the price of the video game console is $2,028.00
What is the ratio of the length of the vertical side to the length of the horizontal side of each triangle
In triangle PQR, the ratio of the vertical Length to the horizontal length is 1:1 and in triangle STU the ratio of the vertical length to the horizontal length is 1:2
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 4 girls you could write the ratio as: 1 : 4 (for every one boy there are 4girls) 1 / 5are boys and 4 / 5are girls.
In traingle PQR, the length of the vertical side is 2 and the length of the horizontal side is 2. therefore the ratio of vertical length to horizontal length is 2: 2
dividing through by 2
= 1 : 1
In triangle STU
The length of the vertical length is 3 and the horizontal length is 6. Therefore the ratio of the vertical length to horizontal length is 3: 6
dividing through by 2
= 1 : 2
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Please help me plss I need it
A person invests 1000 dollars in a bank. The bank pays 4.5% interest compounded semi-annually. To the nearest tenth tenth of the year, how long must the person leave the money in the bank until it reaches 1500 dollars?
On solving the provided question, we can say that - the interest ant the end of the time will be 45
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here
P = 1000
R = 4.5
T = 1
SI = PRT/100
SI = 1000 X 4.5 X 1/100 = 45
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does all the theorems SAS,SSS AND ASA have to apply so a triangle to be congruent?
It is not necessary for all three criteria (SAS, SSS, and ASA) to apply in order for two triangles to be congruent.
How to illustrate the information?In order for two triangles to be congruent, all three pairs of corresponding sides must be equal in length and all three pairs of corresponding angles must be equal in measure. This is known as the "side-angle-side" (SAS) criterion for triangle congruence.
It is possible for two triangles to be congruent using only the SAS criterion, in which case you do not need to use the "side-side-side" (SSS) or "angle-side-angle" (ASA) criteria. However, it is also possible for two triangles to be congruent using either the SSS or ASA criteria, or a combination of all three.
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17
Mimi has to solve problems on three math
assignments. The assignments contain 38,
39, and 40 math problems. Mimi has already
solved 30 math problems. How many more
math problems does she need to solve?
Answer:
Step-by-step explanation:
39 plus 38 eqauls 77 +40=107-30=87 hope this helped please mark me brainliest. :)
If the tangram piece F is 4 square units, what are the individual areas of pieces A, B, C, D, E, and G?
After finding the area of each of the pieces, identify the lengths of the sides of each of the polygons A, B, C, D, E, F, and G.
PLEASE HELP AND EXPLAIN
Can scatter plot have 3 variables?
Yes, a scatter plot can have three variables. This type of plot is called a 3D scatter plot and can be used to visualize the relationships between three numeric variables.
By plotting three numeric variables in a three-dimensional space, it is possible to see how the values of each variable interact with each other. For example, one could use a 3D scatter plot to compare the sales of three different products over time, or to see how the values of three different types of stock correlate with each other.
3D scatter plots also allow for the visualization of non-linear relationships, making them a powerful tool for exploring complex datasets. Additionally, 3D scatter plots can be used to observe how one variable impacts the other two variables, or to identify clusters and outliers in the data.
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Pls help me on the number 11
The packaging 2 uses more material than packaging 1
The company can choose to package 12 cans one way instead of another to save costHow to determine the packaging that uses more materialFrom the question, we have the following parameters that can be used in our computation:
Package = 12 cans
Material 1 = 3 rows of 4
Material 2 = 6 rows of 2
The packaging uses more material has the greater perimeter
The perimeter is then calculated as
Perimeter = 2 * (Rows + Column)
substitute the known values in the above equation, so, we have the following representation
Material 1 Perimeter = 2 * (3 + 4)
Material 1 Perimeter = 14
Material 2 Perimeter = 2 * (6 + 2)
Material 2 Perimeter = 16
This means that the material 2 uses more material because 16 is greater than 14
The company can choose to package 12 cans one way instead of another because one package can use more material than the other and they need to save cost
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Willow wants to rewrite 36+27 using the greatest common factor and the distributive property
Willow's equation is written using the greatest common factor and the distributive property as follows
= 9(4 + 3)
What is distributive property?The distributive property states that multiplying the total of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and adding the products together.
Additive inverse involves adding which involves two numbers that has opposite sign. the addition lead to zero
The factors of 27 are 1, 3, 9, 27 and 36 1, 2, 3, 4, 6, 9, 12, 18, 36,
the greatest common factor is 9.
writing the equation gives
= 36 + 27
= 9 * (4 + 3)
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Answer:
Step-by-step explanation:
The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
36 + 27
Taking out 9 commons.
9 (4 + 3)
Thus,
The greatest common factor to rewrite 36 + 27 as (4 + 3 ) is 9.
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