Answers
Answer:
y = z(w -x)z = y/(w -x)Step-by-step explanation:
As in any "solve for ..." problem, you reverse (undo) the operations done to the variable of interest. Generally, you do that in reverse order.
1. y is divided by z then the quotient added to x. To solve for y, we subtract x, then multiply by z.
... w - x = y/z . . . . . . . subtract x from the given equation
... z(w -x) = y . . . . . . . multiply by z
___
2. To solve for z, it is more convenient to start with the equation for y that is the result of the first question. We divide that by the coefficient of z.
... z = y/(w -x)
From w=x+y/z, the value of y = z(w - x)
w=x+y/z
This is changing the subject formula. The first thing to do is to subtract x from both sides. This will be:
w - x = x + y/z - x
w - x = y/z
Then, we cross multiply
z(w - x) = y
Therefore, y = z(w - x)
Since y = z(w - x)
Then, to get the value of z goes thus:
z = y/(w - x)
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Related Questions
(Multiple Choice Worth 4 points) (05.01)A flower bed is in the shape of a triangle, with a base of 13 feet and a height of 5 feet. What is the area of the flower bed?
A 18 square feet
B 32.5 square feet
C 65 square feet
D 130.5 square feet
Answers
So, when finding area, we need to remember that the key point if this is to (multiply).
We would need to make sure that we do not get confused with (perimeter) and area.
We are going to multiple, sense the question stated "What is the area of the flower bed?".
To begin, what are the [tex](formula) [/tex] that we would use?
We will use . . . [tex] \left[\begin{array}{ccc}\boxed{A= \frac{ h_{b}b }{2}} \end{array}\right] [/tex]
By using this, we would plug in the numbers to get your area.
[tex] \left[\begin{array}{ccc}\boxed{\boxed{13*5=65/2=32.5}}\end{array}\right] [/tex]
Your correct answer would be (option B)
[tex]\boxed{32.5} \ square \ feet[/tex]
I hope this helps you!
Answer:
b
Step-by-step explanation:
On the surface of the moon, the value of g is 1.67 m/s2. What is the horizontal distance traveled during a 2.00-meter high jump if the jumper runs as at 20 miles per hour?
Answers
h= 1/2 gt^2
2= 1/2 * (1.67) t^2
t^2= 1.67
t= 1.29
If the speed is 20 mph and the jump is 2 second, the distance traveled would be:
20 miles/ hour * 1.29 second * (1 hour/3600second)= 0.007179 miles
If you need to convert it to meter then: 0.007179 mile * 1609.34meter/ mile= 11.55 meter
A grandmother deposited $4,000 in an account that pays 5% per year compounded annually when her granddaughter was born. What will the value of the account be when the granddaughter reaches her 13th birthday?
Answers
A = 4000(1 + 0.05/1)^(13)(1)
A = $7542.59
The value of the account is $7542.59.
What is interest?It is computed by adding the annual interest rate raised to the number of compound periods and subtracting one after multiplying the initial principal amount by one. The resulting value is subsequently deducted from the loan's entire original amount.
Given:
P=4000
r = 5%
t = 13 years
Now, using the formula
[tex]A = P( 1 + r/n)^{nt}[/tex]
A = 4000[tex](1 + 0.05/1)^{(13)(1)[/tex]
A= 4000[tex](1.05)^{13[/tex]
A = 4000 x 1.8856
A = $7542.59
Hence, The value of the account is $7542.59.
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The cone in the diagram has the same height and base area as the prism. What is the ratio of the volume of the cone to the volume of the prism?
Answers
For your figures: 1/3.
Answer:
B. 1/3
I had this question on Plato this is the answer.
Factor each expression: 5a-25
Answers
= 5(a-5)
----------------------
hope it helps
Mr. jones has two children. the older child is a girl. what is the probability that both children are girls?
Answers
Hope this helps!
Final answer:
Given that the older child is already a girl, the probability that both children of Mr. Jones are girls is 50%, assuming an equal chance of having a boy or a girl.
Explanation:
The question is asking about the probability that both children of Mr. Jones are girls, knowing that the older child is already a girl. Since the older child is a girl, we only need to consider the probability that the second child is a girl. In a typical scenario where the probability of having a boy or a girl is equal (assuming a 50% chance for each), the probability that the second child is a girl, given that the family already has one girl, is simply 0.5 or 50%. Therefore, in this case, the probability that both children are girls is 50%.
Rhoads earned $324.65 delivering newspapers. She promised her sister 0.2 of her earnings for helping her.How much does Rhoads owe her sister?
Do I have to subtract?? if not help me solve plz
Answers
(owed to sister) = 0.2*(earnings)
.. = 0.2*$324.65
.. = $64.93
Rhoads owes her sister $64.93.
Efetue as divisões X ao cubo+10x+29x+20:x ao quadrado+5x+4
Answers
x + 5
---------------------------------
x^2 + 5x + 4 | x^3 + 10x^2 + 29x + 20
- x^3 + 5x^2 + 4x
----------------------------
5x^2 + 25x + 20
- 5x^2 + 25x + 20
-------------------------
0
(x^3 + 10x^2 + 29x + 20) / (x^2 + 5x + 4) = x + 5
1 What is the solution to the system of equations?
3x-4y=16
2x+3y=5
A (–4, 1)
B(4, –1)
C(–4, –1)
D (4, 1)
2 what is the solution to the system of equations?
7x-2y=-24
5x+5y=15
A (2, –5)
B (–2, 5)
C (–2, –5)
D (2, 5)
Answers
2. The answer is B (-2, 5)
Answer:
The answer for the first question would be B: (4, –1)
Step-by-step explanation:
Last year, 120 new houses were built in a neighborhood. So far this year, 56 of them have been sold. How many new houses have been sold this year?
Answers
right?
Ms Cohen gave a riddle: A string is 2 meters longer than a rod. Half of the rod is 1 meter shorter than half of the string. Is this true or false?
Answers
y: length of the string.
x: length of the rod.
We have the following equation:
y = x + 2
Half of the rod is 1 meter shorter than half of the string
x/2 = y/2-1
Let's rewrite equation 1 to see if it's true:
y = x + 2
(1/2) * y = (1/2) * (x + 2)
(1/2) * y = (1/2) * x + 1
(1/2) * x = (1/2) * y-1
Answer
this is true
(1/2) * x = (1/2) * y-1
Where a is determined by the conditions x2 + y2 ≤ 1 and x + y ≥ 1?
Answers
Finally, 43 is 5% of what number?
Use the simplified ratio to find the equivalent ratio with a numerator of 43.
Enter your answer in the box.
43 is 5% of __?
Answers
43 ÷ 1/20 = 43 * 20/1 = 860 ← answer
Final answer:
43 is 5% of 860.
Explanation:
To find out what number 43 is 5% of, we can set up a proportion where 5% (or 0.05 when written as a decimal) is equal to 43 over an unknown total number X.
The formula to calculate this is part = percentage imes total, which in this case turns into 43 = 0.05 * X.
To solve for X, divide 43 by 0.05, giving us X = 43 / 0.05 which equals 860.
Therefore, 43 is 5% of 860.
what is the slope of the line represented by the equation below? y=-2/3x+3
Answers
Answer:
-2/3
Step-by-step explanation:
The slope is the coefficient of x: -2/3.
___
This tells you how much y changes when x changes by 1 unit. The slope is the change in y divided by the change in x.
the value of the building owned by two veterinarians went from 125000 to 117500. What is the percent decrease
Answers
125000 - 117500 = 7500
Percentage of decrease = 7500/125000 x 100 = 6%
Katherine practices skiing for 1 1/2 hours every day except Saturday and Sunday. She practices for four hours on Saturday and three hours on Sunday. How many hours does she practice in a week?
Answers
1 1/2 hours x 5 days = 7 1/2 hours
4+3 +7 1/2 = 14 1/2 hours per week
the price of a tablet was reduced from $250 to $200. By what percentage was the price of the tablet reduced? Please help me solve this.
Answers
it doesn't interfere with 200.
A population of 1200 leopards decreases by 12% per year. How many leopards will there be in the population after 6 years? Round your answer to the nearest whole number
Answers
identify the roots of -3x^3-21x^2+72x+540=0. State the multiplicity of each root.
Answers
y = -3*(x - 5)*(x+6)^2
(x - 1) has a multiplicity of 1 and (x + 6) has a multiplicity of 2 <<<=== answer
The graph can be found at wolframalpha
google it.
Could someone help me with this?
Answers
*Take note that 12x and 6x are put together because they are like terms.
For Steps 3 and 4, you will see that the addition property of equality was used in STEP 3. To keep the equation equal, you will add the same number on both sides.
STEP 4 uses Division property of Equality. Like Step 3, to keep both sides of the equation equal, you must divide both sides with the same number. It keeps the statement true by doing so.
STEP 4 and 5 uses transitive property if you examine both as a whole.
Transitive property assumes that if a = b and b = c, then a = c
If 18/18 (a) = 1 (b), and x (c) = 18/18(a) then, x (c) = 1 (b).
The area of a circle is 225 pie square inches. Find the area of the sector whose central angle is 45°.
Answers
The central angle for whole circle is 360°, it means that angle 45° has 45/360=1/8 part of the circle.
If the area of the circle is 225π, then the area of the sector 45° is 225π/8≈28.125π (in.²)
answer: 28.125π in².
The area of the sector of the circle is 28.125π inches²
What is a Circle?
A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle
The total internal angle is 360° about the centre
The area of the sector of the circle = ( θ / 360° )πr²
The perimeter of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
Given data ,
Let the area of the circle be = A
The value of A = 225 inches²
Now , the area of the sector whose central angle is 45° is calculated by
The area of the sector of the circle = ( θ / 360° )πr²
Substituting the value for θ = 45° , we get
Area of the sector of the circle = ( 45/360 ) x 225
= ( 1/8 ) x 225
= 28.125 inches²
Therefore , the area of the sector is 28.125 inches²
Hence , The area of the sector of the circle is 28.125π inches²
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A student is raising money for a homeless shelter. A local business agrees to donate an additional 20% of what the student raises, while a local politician also agrees to donate an additional 10% of what the student raises. If the student raises $600.00, how much will be donated?
Answers
Answer: the answer is $780.00
Step-by-step explanation:
$600.00 x .20 = $120.00
$600.00 x .10 = $60.00
Total:
$600.00 + $120.00 + $60.00 = $780.00
Answer:
780
Step-by-step explanation:
There are 50 identical apples that need to be distributed among alice, bob, and cathy. determine the numberof ways that this can be done such that each one of them gets at least 2 apples. as examples, possible distributions ofthe identical apples among alice, bob and cathy include (a, b,
c.= (46, 2, 2); (10, 10, 30); (9, 2, 39), etc., where a,b and c denote the number of apples allocated to alice, bob and cathy respectively.
Answers
Henry sells rings for $8 each. His expenses are $1.50 per ring, plus $91 for supplies. How many rings does he need to sell for his revenue to equal his expenses?
Answers
Answer:
14 rings.
Step-by-step explanation:
in order to calculate how many rings does he have to sell to break even we first have to calculate the profit that he has on the sell of every ring from which he can take money to pay per supplies, so that would be the selling price minues expenses:
8-1.5=6.5
Now we have to divide the 91 in supplies by the profit:
91/6.5=14
So he has to sell 14 rings in order to break even between expenses and supplies.
Henry needs to sell approximately 14 rings to cover his expenses, which include $1.50 per ring and $91 for supplies, with each ring priced at $8.
To find out how many rings Henry needs to sell for his revenue to equal his expenses, you can set up an equation.
Let's denote the number of rings he needs to sell as "x."
Revenue from selling x rings = Expenses
Revenue is calculated as the price per ring multiplied by the number of rings sold, which is $8x.
Expenses consist of the cost per ring and the supplies cost, which is $1.50x + $91.
So, the equation becomes:
$8x = $1.50x + $91
Now, let's solve for x:
Subtract $1.50x from both sides of the equation:
$8x - $1.50x = $1.50x + $91 - $1.50x
$6.50x = $91
Now, divide both sides by $6.50 to find the value of x:
x = $91 / $6.50
≈ 14
Therefore, Henry needs to sell approximately 14 rings for his revenue to equal his expenses.
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how to discriminant of each quadratic equation then state the number and type of solutions. yall fr help me
Answers
Note, 1. the rules marked with blue colour, the solutions marked by red; 2. solutions are given shortly.
Final answer:
The discriminant of a quadratic equation determines the number and type of solutions.
Explanation:
The discriminant of a quadratic equation can help determine the number and type of solutions.
If the discriminant is greater than zero, there are two real solutions.
If the discriminant is zero, there is one real solution.
If the discriminant is negative, there are no real solutions.
The length of time that an auditor spends reviewing an invoice is approximately normally distributed with a mean of 600 seconds and a standard deviation of 100 seconds. what is the probability that an auditor will spend more than 12 minutes on an invoice?
Answers
Explanation:
Since 1 minute = 60 seconds, we multiply 12 minutes by 60 so that 12 minutes = 720 seconds. Thus, we're looking for a probability that the auditor will spend more than 720 seconds.
Now, we get the z-score for 720 seconds by the following formula:
[tex]\text{z-score} = \frac{x - \mu}{\sigma} [/tex]
where
[tex]t = \text{time for the auditor to finish his work } = 720 \text{ seconds} \\ \mu = \text{average time for the auditor to finish his work } = 600 \text{ seconds} \\ \sigma = \text{standard deviation } = 100 \text{ seconds}[/tex]
So, the z-score of 720 seconds is given by:
[tex]\text{z-score} = \frac{x - \mu}{\sigma} \\ \\ \text{z-score} = \frac{720 - 600}{100} \\ \\ \boxed{\text{z-score} = 1.2}[/tex]
Let
t = time for the auditor to finish his work
z = z-score of time t
Since the time is normally distributed, the probability for t > 720 is the same as the probability for z > 1.2. In terms of equation:
[tex]P(t \ \textgreater \ 720) \\ = P(z \ \textgreater \ 1.2) \\ = 1 - P(z \leq 1.2) \\ = 1 - 0.885 \\ \boxed{P(t \ \textgreater \ 720) = 0.115}[/tex]
Hence, there is 11.5% chance that the auditor will spend more than 12 minutes in an invoice.
The probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.
Calculate the probability an auditor will spend more than 12 minutes on an invoice using the Z-score formula for a normal distribution.
The probability that an auditor will spend more than 12 minutes on an invoice can be calculated using the Z-score formula for a normal distribution.
Calculate the Z-score: Z = (12*60 - 600) / 100 = -1.2.Find the probability corresponding to this Z-score using a standard normal distribution table. P(Z > -1.2) = 0.8849.Therefore, the probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.Please help me with question 26
Answers
-----------------------------------------------------
angle AEB = angle GEC
5x = 3x+10
5x-3x = 10
2x = 10
x = 5
angle GEC = 3x+10
angle GEC = 3*5+10
angle GEC = 25 degrees
Angle FEG = 90 - (angle GEC)
Angle FEG = 90 - 25
Angle FEG = 65 degrees
Which type of deposit is paid in advance to protect landlords against nonpayment?
a.security deposit
b.special deposit
c.surity deposit
20 POINTS!! pleasee help!
Answers
Jennifer made 5 liters of punch for her party. Her brother made another 750 mL. If they combine the two batches, how many 180mL servings would they have? Would there be any punch left over? If so how much? Please respond with the answer of how much of the two batches combined and how many 180mL there are
Answers
1 liter----------------> 1000 ml
Jennifer punch is 5 liters----------------> 5*1000=5000 ml
Her brother punch-------------------------> 750 ml
[total two batches]=(5000+750)----------> 5750 ml
the answer part A) is 5750 ml
Part B) how many 180 mL servings would they have?
[180 mL servings]=5750/180=31.94-----------> 31
they would have 31 (180 ml servings)
punch left over=[5750-31*180]=170 ml
there would be 170 ml of punch left over
Describe how to solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original figure are given.
Answers
To solve problems for the area of a reduced or enlarged figure, determine the scale factor, find the corresponding dimensions, and calculate the area using the appropriate formula.
Explanation:To solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original figure are given, follow these steps:
1. Determine the scale factor by comparing the dimensions of the original figure to the dimensions of the reduced or enlarged figure.
2. Use the scale factor to find the corresponding dimensions of the reduced or enlarged figure.
3. Calculate the area of the reduced or enlarged figure using the appropriate formula for the shape (e.g., length * width for a rectangle).
For example, if the original figure is a rectangle with dimensions of 4 inches by 6 inches, and the scale factor is 2, the corresponding dimensions of the reduced or enlarged figure would be 8 inches by 12 inches. The area of the reduced or enlarged figure would then be calculated as 8 inches * 12 inches = 96 square inches.
Sample Response: To solve problems for the area of a reduced or enlarged figure, first square the scale factor. Then use the given dimensions to find the area of the original figure. Multiply the square of the scale factor by the area of the original to get the reduced or enlarged figure.