W=p(u-z) solve for z
Answers
Answer: \(z = \frac{pu-W}{p}\\\\\)
We can write this as z = (pu-W)/p
This is the single fraction with pu-W up top and p in the denominator.
Other answers are possible.
===========================================================
Work Shown:
\(W=p(u-z)\\\\W=pu-pz\\\\W+pz=pu\\\\pz=pu-W\\\\z=\frac{pu-W}{p}\\\\\)
An alternative method could have these steps instead
\(W=p(u-z)\\\\u-z = \frac{W}{p}\\\\-z = \frac{W}{p}-u\\\\z = -\frac{W}{p}+u\\\\z = -\frac{W}{p}+\frac{pu}{p}\\\\z = \frac{-W+pu}{p}\\\\z = \frac{pu-W}{p}\\\\\)
Related Questions
find the ratio of the slant heights
Answers
The ratio of the slant height smaller cone to the bigger cone is 2 : 7
What are similar solids?Similar solids are solids that have the same shape but differ in size.
The scale factor shows the magnitude of reduction or enlargement between the two shapes.
Area factor = (linear factor )²
area factor = 52/637
divide through by 13
= 4/49
linear factors = √4/49
= 2/7
Therefore the ratio of the slant height to the smaller cone to the bigger cone is 2 : 7
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Joseph is 33 years old. Five years ago, He was twice as old as Ann. How old will Ann be in 5 years time?
Answers
Answer:
19 years oldStep-by-step explanation:
\(Joseph = 33 \:years \:old\\ \\Let \: ann's \:age be x\\\\33-5 = 2x\\\\28 = 2x\\\\Divide \:both \:sides \:of \:the \:equation \: by \:2\\\\\frac{2x}{2} = \frac{28}{2} \\\\x = 14\\\\Ann's \:present \:age \:= 14\\\\In \:5 \:years \:time ; \\\\14+5 = 19\\\)
Can someone explain this a little better?
cause I am still waiting for someone answering this question.
Answers
Answer:
i believe 0.67 of a chance
Step-by-step explanation:
since there are two jobs and a chance that he won't get either that's three options. so the denominator is three (as a fraction). there are two jobs so the probability of James getting one of the two is 2/3. 2/3 as a decimal is 0.66666 and keeps going on and on forever. Rounded to the nearest hundredth, 0.666666 is 0.67.
1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
Answers
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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John’s grocery bill totaled $200. After he used his coupons, the cash register showed the total bill as $20. Which statement is true?
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 10 times as much as the bill before the coupons were used.
The grocery bill before the coupons were used was 100 times as much as the bill after the coupons were used.
The grocery bill after the coupons were used was 100 times as much as the bill before the coupons were used.
Answers
Answer:
The grocery bill before the coupons were used was 10 times as much as the bill after the coupons were used.
Step-by-step explanation:
The price after coupons were used is 20, and the price before was 200. 20x10 =200
Fill in the table.
Give four consecutive odd integers:
First Integer
X
The simplified sum of the second and forth integers are
Next Integers
Answers
The simplified sum of the second and forth integers are; -1 + 5 = 4
How to find the integer?An integer is defined as a whole number that can be positive, negative, or zero. Examples of integers are: -7, 2, 9, 18, 125, and 9803
Now, we are given the consecutive integer sequence as;
x, 1, 3, 5
Now, since the integers are consecutive, then the common difference is the same. Thus;
1 - x = 3 - 1
1 - x = 2
x = 1 - 2
x = -1
Sum of first and fourth term = -1 + 5 = 4
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Question is in the picture it’s a lot to type
Answers
1.
The ratio of their volumes is,
\(\begin{gathered} \text{Ratio}=\frac{108ft^3}{4000ft^3} \\ =\frac{27}{1000} \end{gathered}\)Thus, the ratio of volume is 27:1000.
2.
The scale factor can be determined as,
\(\begin{gathered} \text{Scale factor=(}\frac{4000ft^3}{108ft^3})^{\frac{1}{3}} \\ =10\colon3 \end{gathered}\)Thus, the scale factor is 10:3.
3.
The ratio of surface area is,
\(\begin{gathered} \text{Ratio of surface area=(}\frac{3}{10})^2 \\ =9\colon100 \end{gathered}\)Thus, the ratio of surface area is 9:100.
4.
The surface area of the smaller cube can be determined as,
\(\begin{gathered} \frac{9}{100}=\frac{SA_{sc}}{SA_{bc}} \\ \frac{9}{100}=\frac{SA_{sc}}{157ft^2} \\ SA_{sc}=14.13ft^2 \end{gathered}\)Thus, the surface area of the smaller cube is 14.13 square foot.
Solve:
5x + 10 = -15
Answers
Pls mark me brainliest
Answer:
x= -5
Step-by-step explanation:
5x + 10 = -15
subtract 10 from both sides
5x = -25
divide both sided by 5
x = -5
Hope this helps :)
Conduct a survey based on the topic below and write a research report. You are required to collect, represent, analyse, interpret and report the data. The number of coins that teachers carry with them •
Answers
Research Report:
Title: The Number of Coins Carried by Teachers
Introduction:
This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.
The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.
Results and Analysis:
A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.
Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.
Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.
Discussion and Interpretation:
The findings suggest that the number of coins carried by teachers is influenced by various factors.
Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.
The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.
The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.
This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.
Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.
Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.
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Write as a radical expression and evaluate if possible. 8 1/3
Answers
Answer:
\(\huge \boxed{2}\)
Step-by-step explanation:
\(8^\frac{1}{3}\)
Apply rule : \(a^\frac{1}{3}=\sqrt[3]{a}\)
\(8^\frac{1}{3}=\sqrt[3]{8}\)
8 is a perfect cube. Evaluate the cube root of 8.
\(\sqrt[3]{8}=2\)
Answer:
Radical expression
\( \sqrt[3]{2} \)
Evaluation
\( {8}^{ \frac{1}{3} } = 2\)
Step-by-step explanation:
8^(⅓) = ³√8
=³√(2×2×2)
=³√(2³)
= 2
BRAINLIEST PLEASE
ession below?
3(5x + 7) – 6(4 – 2x)
Answers
Answer: 27x-3 :)
Step-by-step explanation:
Step-by-step explanation:
3(5x+7)-6(4-2x)
15x+21-24+12x
15x+12x+21-24
27x-3
hope it helps!
Write an Equivalent Expression by combining like terms for 2x+3x+y+2y
Answers
Answer:
5x+3y
Step-by-step explanation:
2x+3x=5x since they have the same variable.
y+2y
1y+2y u can put a 1 so that would be 3y
5x+3y
The OLS method A. minimizes the sum of the residuals. B. maximizes the sum of the residuals. C. maximizes the sum of the squared residuals. D. minimizes the sum of the squared residuals.
Answers
Answer: D. minimizes the sum of the squared residuals
Step-by-step explanation: The ordinary least square method is often used in locating the trendine which best fits a graphical linear model. The best is one in which the sum of the squared residual is smallest. The residual refers to the difference between the actual and the predicted points. The sum of the squared differences is obtained and the trend line is positioned where the residual is minimum. Choosing a OLS, and minimizing the sum.of the squared residual, the error difference between the predicted and actual score is minimized or reduced, hence, improving the prediction accuracy of our model.
Зr + 4 = 12 = Зr
What is the answer
Answers
Answer:
r = 8
Step-by-step explanation:
Solve for r:
r + 4 = 12
Subtract 4 from both sides:
r + (4 - 4) = 12 - 4
4 - 4 = 0:
r = 12 - 4
12 - 4 = 8:
Answer: r = 8
(a) From Latoya's results, compute the experimental probability of rolling a 1 or 6.
(b)Assuming that the cube is fair, compute the theoretical probability of rolling a 1 or 6.
(c)Assuming that the cube is fair, choose the statement below that is true.
A. The experimental and theoretical probabilities must always be equal.
B. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become closer, though they might not be equal.
C. As the number of rolls increases, we expect the experimental and theoretical probabilities to
become farther apart.
Answers
(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.
Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.
Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.
(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).
Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.
(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.
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5,890,000=a×10b a==?
Answers
Answer:
=146628
Step-by-step explanation:
gracias por los puntos
how many are 16 x 16 ?
Answers
Answer:
256
Step-by-step explanation:
16 ×16= 256
Hope it works out for you
Answer:
256
Step-by-step explanation:
16 ×16= 256
Hope it works out for you
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Find x value
\( {x}^{3} + {x}^{2} + 8x + 12 = 0\)
??
Answers
Changes made to your input should not affect the solution:
Changes made to your input should not affect the solution: (1): "x2" was replaced by "x^2". 1 more similar replacement(s).
x3+x2-8x-12 is not a perfect cube
Factoring: x3+x2-8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)
Thoughtfully split the expression at hand into groups, each group having two terms :Group 1: x3+x2 Group 2: -8x-12 Pull out from each group separately :Group 1: (x+1) • (x2)Group 2: (2x+3) • (-4)
the ratio of men to women in a village is 12: 25. if there are 120men, (a)how many women are there ?, (b) what is the total number of men to women
Answers
Answer:
a) 250 women
b) 370 in total
Step-by-step explanation:
Men : Women
12 : 25
120 : 250
a) If there are 120 men that means 12 was multiplied 10 times to get 120 so to get the amount for women we multiply 25 ten times which will give 250.
b) the sum will be 120 + 250 = 370
Which ordered pair, when graphed, would not show a function?
(miles per gallon, gallons in tank)
(length of shadows/time of day)
(temperature in F, temperature in C)
(number of employees, number of hours worked)
Answers
Answer:
a) miles per gallon, gallons in tankStep-by-step explanation:
All the options show functional relationship but the first one
a) miles per gallon, gallons in tank
There is no direct relationship between these parameters as miles per gallon depends on the speed and the way of driving. This won't be a function when graphed.b) length of shadows/time of day
Shadow depends on the time of the day and its length wont repeat at different angles. This is a function.c) temperature in F, temperature in C
This is a function as each input will have a unique output.d) number of employees, number of hours worked
Hours of work depends on number of employees. This is a functional relationship.Answer:
(number of employees, number of hours worked)
Step-by-step explanation:
given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a rational denominator
Answers
Answer:
\(\tan(A) = \frac{3}{5}\)
Step-by-step explanation:
Given
\(\sin(A) = \frac{3}{\sqrt {34}}\)
\(0 \le A \le 90\) --- First Quadrant
Required
Find tan(A)
The sin of an angle is:
\(\tan(A) = \frac{Opposite}{Hypotenuse}\)
and
\(\sin(A) = \frac{3}{\sqrt {34}}\)
By comparison:
\(Opposite = 3\)
\(Hypotenuse = \sqrt{34\)
So, the Adjacent is:
\(Hypotenuse^2 = Adjacent^2 + Opposite^2\)
\((\sqrt{34})^2 = Adjacent^2 + 3^2\)
\(34 = Adjacent^2 + 9\)
Collect like terms
\(Adjacent^2 =34 - 9\)
\(Adjacent^2 =25\)
Take square roots
\(Adjacent =\sqrt{25\)
\(Adjacent =5\)
The tangent of an angle is:
\(\tan(A) = \frac{Opposite}{Adjacent}\)
This gives:
\(\tan(A) = \frac{3}{5}\)
Underline the abstract nouns in the sentences. 1. Loyalty and patriotism are admired in citizens.
Answers
Answer:
Loyalty and patriotism are admired in citizens.
Answer:
Step-by-step explanation:
First of all, pick out the nouns.
Loyalty
Patriotism
Citizens
Now here's the thing. You can touch or smell or see or hear or feel (with your hands) concrete nouns. If you can't touch them etc., they are abstract nouns.
You can touch a citizen. If you don't believe me, go hug your mom. But how do you touch Loyalty and Patriotism? You can't. So those two nouns are your abstract nouns.
the tea shop has caffeinated tea and decaffeinated tea. the tea shop served 70 teas all 56 of which were caffeinated. what percentage were caffeinated
Answers
Answer:
Total no. of teas served: 20
Therefore, we can write the two quantities as fractions of twenty:
14/20 and 6/20
A percentage is "per-cent", i.e. per 100, therefore a fraction of 100. To make this denominator a fraction of 100 we multiply it by 5 (20 x 5 = 100), and because what we do to the bottom of the fraction we must do to the top, we multiply each numerator by 5:
14/20; 14 x 5 = 70
6/20; 6 x 5 = 30
So,
70/100, 30/100
Answer: 70% of the teas sold were caffeinated.
Hope it helps!!!brainliest pls!!!A hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answers
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
A restaurant is offering 15 percent off beverages. The check is $90.00 with the beverage total being $15.00. What is the check total after the discount ?
A 77.75
B 76.50
C.75.00
D.87.75
Answers
b because 90
15
15
-_____
76.50
Carole worked her 40 regular hours plus 5 O.T. hours at time-in-a-half rate. Her gross pay was $1,163.75. What is her regular hourly rate?
Answers
Let her standard pay rate = x
She worked 40 hours for x per hour she also worked 5 hours at 1.5x ( time and a half)
Write an equation:
40x + 5(1.5x) = 1163.75
Simplify:
40x + 7.5x = 1163.75
Combine like terms:
47.5x = 1163.75
Divide both sides by 47.5
X = 24.50
Her regular hourly rate is $24.50
Answer:
let rate be x
by question
40x+7.5x=1163.75
x=1163.75/47.5=24.5
her regular income is $24.5 per hour.
Michelle had 7 paperback books and 4 hardcover books on the shelf by her bed. Write a ratio to represent the ratio of paperback books to hardcover books
Answers
Answer:
7:4 that would be the ratio
Leo sold candy bars for a fundraiser. He spent $25 on a box of candy bars and sold them for $2 each. His profit (after earning back the $25) was $69, so he used the equation $2c−$25=$69 to find out how many candy bars he sold.When he solves the equation, he gets c=47.What does this mean in the context of the situation?
Answers
As given by the question
There are given that the $2c-$25=$69.
Now,
\(\begin{gathered} $2c-$25=$69$ \\ $2c-$25+25=$69$+25 \\ 2c=$69$+25 \\ 2c=94 \\ c=\frac{94}{2} \\ c=47\text{ bars} \end{gathered}\)Hence, the correct answer is C.
I WILL GIVE BRAINLYEST
What is the slope of the line passing through the points (2, 5) and (0, -4)?
a 9/2
b2/9
c-9/2
d-2/9
Answers
Answer:
c: -9/2
Step-by-step explanation:
to calculate the slope its rise/run so
-9/-2
now that means ur answer is c -9/2