we have
[tex]-p(d+z)=-2z+59[/tex]
Solve for z
[tex]-p(d+z)=-2z+59\\-pd-pz=-2z+59[/tex]
Group terms that contain the variable z, and move the other terms to the opposite side of the equation
[tex]-pz+2z=59+pd\\z(2-p)=59+pd[/tex]
Divide by [tex](2-p)[/tex] both sides
[tex]z=\frac{(59+pd)}{(2-p)}[/tex]
therefore
the answer is
[tex]z=\frac{(59+pd)}{(2-p)}[/tex]
Final answer:
The equation −p(d+z)=−2z+59 was solved for z by distributing the negative sign, combining like terms, and dividing by the coefficient of z, resulting in z = (59 + pd)/(2 - p).
Explanation:
The student asked to solve the equation −p(d+z)=−2z+59 for z. To solve for z, we need to isolate z on one side of the equation, following these steps:
Distribute the negative sign through the parentheses on the left side of the equation: −pd − pz = −2z + 59.
Move the terms containing z to one side of the equation: −pz + 2z = 59 + pd.
Combine like terms by adding pz to both sides: 2z + pz = 59 + pd or z(2 - p) = 59 + pd.
Divide both sides by (2 - p) to solve for z: z = (59 + pd)/(2 - p).
Now, z is isolated and the solution is given in terms of p and d.
i will give brainliest to the best answer to this question: Each year, the Department of Water Works measures the chloride concentration level in the water. The first year, they found the chloride concentration changed by −135 mg/L . It is estimated that the chloride concentration will change −2115 mg/L the next year.
What is the total change that will likely occur in 2 years?
Enter your answer as a simplified mixed number in the box.
______mg/L
Answer:
The total change that will likely occur in 2 years is [tex]=-3\frac{2}{3}[/tex] mg/L
Step-by-step explanation:
Given : The first year, they found the chloride concentration changed by [tex]-1\frac{3}{5}[/tex] mg/L .
It is estimated that the chloride concentration will change [tex]-2\frac{1}{15}[/tex] mg/L the next year.
To find : What is the total change that will likely occur in 2 years?
Solution :
The chloride concentration changed by [tex]-1\frac{3}{5}=-\farc{8}{5}[/tex] mg/L in first year.
The chloride concentration will change [tex]-2\frac{1}{15}=-\frac{31}{15}[/tex] mg/L the next year.
The total change that will likely occur in 2 years is
[tex]=-\frac{8}{5}+(-\frac{31}{15})[/tex]
[tex]=\frac{-24-31}{15}[/tex]
[tex]=\frac{-55}{15}[/tex]
[tex]=\frac{-11}{3}[/tex]
In a mixed fraction - [tex]=-3\frac{2}{3}[/tex] mg/L
The answer is for sure Answer: - 3 2/3
the two goes on top of the three
Is Time in the 100 meter dash a qualitative or quantitative
if 8=2, 7=31 and ead=102,find 9
A number x divided by -9 is -16
use place value patterns to complete the table
In 1987, the population of the United States was approximately 2.44 x 108 people. The national debt of the United States in that year was approximately 2.50 x 1012 dollars. In scientific notation, how much debt is this per person?
A)
1.0246 x 10−4 dollars
B)
1.0246 x 1020 dollars
C)
1.0246 x 108 dollars
D)
1.0246 x 104 dollars
MATH QUESTION IM WASTING POINTS HURRY PLEASE
Is the comparison true 787<769
24.095 + 3.26 = ____ (5 points)
Answer: The Answer is 27.355 i think
Step-by-step explanation:
What is the name for the point where three altitude lines meet?
1) Incenter
2) Circumcenter
3) Concurrence
4) Centroid
5) Orthocenter
from 12 teachers to 48 teachers
Solve 3kx + 24 = 9kx for x.
A. x= 4/k
B. x= -2/k
C. x= 2/k
D. x= -4/k
express this decimal as a fraction.
1.21212121.......
Each block in Ton's neighborhood is 2/3 mile long. If he walks 4 1/2 blocks,how far dose he walk?
Ton walks a total of 3 miles when he covers 4 1/2 blocks in his neighborhood, where each block is 2/3 mile long.
If Ton walks 4 1/2 blocks and each block in his neighborhood is 2/3 mile long, we can calculate the total distance he walks by multiplying the number of blocks by the length of each block. To find the distance Ton walks, you perform the following calculation:
First, convert the mixed number 4 1/2 into an improper fraction: 4 1/2 = (4 imes 2 + 1) / 2 = 9/2.
Multiply the improper fraction representing the blocks walked (9/2 blocks) by the fraction that represents the length of each block (2/3 mile): (9/2)imes (2/3) = 9/2 imes 2/3.
Simplify the multiplication by canceling out common factors: 9/2 imes 2/3 = (9 imes 2) / (2 imes 3) = 9/3 = 3 miles.
Therefore, Ton walks a total distance of 3 miles.
It says on the first three days of their trip,the Smiths drove 408 miles,347 miles,and 419 miles.Altogether how far did they drive in three days
if g(x) = 2x-1 and h(x) = sqrt x find (g o h)(9)
Answer:
(g o h)(9) =5
Step-by-step explanation:
Given :[tex]g(x) = 2x-1[/tex]
[tex]h(x) = \sqrt{x}[/tex]
To Find: (g o h)(9)
Solution:
[tex]g(x) = 2x-1[/tex]
[tex]h(x) = \sqrt{x}[/tex]
To find (g o f)(x)=g(h(x))
[tex]g(h(x)) = 2\sqrt{x}-1[/tex]
Now substitute x = 9
[tex]g(h(9)) = 2\sqrt{9}-1[/tex]
[tex]g(h(9)) = 2(3)-1[/tex]
[tex]g(h(9)) = 6-1[/tex]
[tex]g(h(9)) = 5/tex]
(g o h)(9) =5
Hence the value of (g o h)(9) is 5
Which mixed number is equivalent to the improper fraction?
14/9
A. 1 5/9
B. 2 5/9
C. 2 4/9
D. 1 4/8
1/8(−8c+16)−1/3(6+3c) Find the difference
Answer:
its -2c
Step-by-step explanation:
3. There are 7 gray kittens. 2 kittens are black. How many less black kittens are there than gray kittens?
Given 3x <9 Choose the solution set
Answer:
[tex]x<3[/tex] or [tex](-\infty,3)[/tex]
Step-by-step explanation:
We have been given an inequality [tex]3x<9[/tex]. We are asked to find the solution set for our given inequality.
We will divide both sides of our inequality by 3 to solve for x.
[tex]\frac{3x}{3}<\frac{9}{3}[/tex]
[tex]x<3[/tex]
Therefore, the solution for our given inequality will be all values of x less than 3, that is [tex](-\infty,3)[/tex] in interval notation.
Dee has at most $150 to spend on restocking dolls and trains at her toy store. Dolls cost $7.50 and trains cost $5.00. Dee needs no more than 10 trains and she needs at least 8 dolls.
Write a system of inequalities (3) to describe this situation.
What’s 13/18- 5/8??????
Ivan and Jeff buy a package of 8 pens for $4.00. Ivan wants 5 of the pens, and Jeff wants 3. How much should each student pay?
Match the following scatterplots with the appropriate correlation from the list. Justify your answer. Note that not all of the correlations are used. The viewing window is the same in all four plots.
Wendy mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Wendy mix with each part of water?
Answer:
2.5
Step-by-step explanation:
IS THE BEST ANSWER
Which of the following is and integer but not a whole number?
A. -9.6
B. -4
C. 0
D. 3.7
write 4120000 in scientific notation
The scientific notation of 4120000 would be 4.12 x 10 to the power of/to 6.
Answer is : 4.12 x 10 to the power of/to 6.
Pedro buys 4 books at the fair for $7 each. Pedro hands the cashier 3 ten dollar bills. how much change would he receive? write an equation to solve. use c to represent the unknown.
The problem involves calculating the change received when Pedro buys four books at $7 each and pays with $30. The equation to solve this is c = $30 - $28. Therefore, Pedro receives $2 change.
Explanation:The subject of this question is a straightforward mathematics problem involving buying books and receiving change. We know that Pedro buys 4 books that each cost $7 and that he gives the cashier $30. To find out the change, represented as c , Pedro will get, we first figure out the total cost of the books: 4 books x $7 per book equals $28. Pedro pays with $30 so the calculation for the change would be: $30 (the amount Pedro paid) - $28 (the total cost of the books). This gives us the equation c = $30 - $28. Therefore, Pedro would receive $2 in change.
Learn more about Change Calculation here:https://brainly.com/question/32819635
Pedro buys 4 books for $28 and pays with $30, so he would receive $2 in change. The equation to represent this is: c = $30 - $28.
To calculate the change Pedro receives, we can set up an equation where c represents the unknown change. Pedro buys 4 books at $7 each, so the total cost of the books is 4 books x $7/book = $28. He hands the cashier 3 ten dollar bills, which equals $30. The equation to find the change is then:
c = $30 - $28
Solving this equation, we get:
c = $2
So, Pedro would receive $2 in change after buying the books.
What is the range of the function on the graph?
The range of the given function from the given graph are: all values of y that are greater than or equal to -3.
What is the Range of a Function?Range of a function are plotted on the vertical axis (y-axis), and is the set of y-values in the function.
In the graph given, the y-values of the function on the y-axis are -3 and all values greater than -3.
Therefore, the range of the given function from the given graph are: all values of y that are greater than or equal to -3.
Learn more about range of a function on:
https://brainly.com/question/7644636
Aaron is a high school graduate working as a retail clerk. He earns a median salary for a high school graduate. Aaron is thinking about going to college to get an associate's degree. If he completes his degree in 2 years and college costs total $30,000, how long will it take Aaron to recover his investment, assuming that he earns the median salary and continues to work full time while he is attending school?
Answer:
A 2.5 years
Step-by-step explanation: