Mathematics High School

Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59​

Answers

Answer 1

Answer:

[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]

General Formulas and Concepts:
Pre-Algebra

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Expanding/Factoring

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle -p(d + z) = -2z + 59[/tex]

Step 2: Solve for z

[Distributive Property] Distribute -p:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -2z to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\& \rightarrow -pd -pz + 2z = 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -pd to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\\end{aligned}[/tex]Factor:

[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\\end{aligned}[/tex][Division Property of Equality] Divide -p + 2 on both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\& \rightarrow z = \boxed{ \frac{59 + pd}{2 - p} } \\\end{aligned}[/tex]

∴ we have solved the given equation for z.

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Learn more about Algebra I: https://brainly.com/question/16452009

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Topic: Algebra I

Related Questions

I have a square garden that has an area of 324. What is length of one side?​

Answers

Answer:

81

Step-by-step explanation:

The shape is a square so it has all equal sides.

324/4=81

Help pls I don’t get it

Answers

Me neitherrrrrrrrrrrrrr

Point F is on line segment EG. Given FG = 3x – 5, EF = x
, and
EG = 5x – 8, determine the numerical length of FG.

Answers

Answer:

3

Step-by-step explanation:

the whole line equals

5x-8 as well as x+3x-5

since it equals both we know the equation is

5x-8=x+3x-5 simplify to 4x-5

5x-8=4x-5

-5x.    -5x

-8=-1x-5

+5.     +5

-3= -1x

-/.     -/

3=x

we now can double check our work by putting 3 everywhere the x is

EG =7

FG= 4

making EF 3

lin's dad bought a tablet. he pays the same amount each month for a subscription to a movie streaming service.the graph represents how much money he spent,y, for the tablet and x months of the service. Which graph corresponds to this situation?​

Answers

Answer: Graph 1

Step-by-step explanation:

At 0 months, Lin's dad had already spent money to buy the tablet so the line should not start at 0. That rules Graphs 4, 5 and 6 out.

He pays the same amount every month so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out Graphs 2 and 3 as the movements on Y are not equal on the line.

This leaves Graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.

In this exercise, we have to recognize the best graph that corresponds to what is treated in the text, that is, the graph that best corresponds to a monthly fee, in this way we find that it is:

Graph 1

First, we are dealing with finances in this way, we have that a tablet has already been purchased so our chart will not start at the null point (x=0) but from the value of the purchased item. In this way, we know that graphics 4, 5 and 6 must be excluded.

In addition to the purchased item, we know that the monthly fee is the same amount every month as long as this program exists  so the movement from a point in the x axis to represent a month, should tally with a movement in the y axis that will be equal each time. This rules out graphs 2 and 3 as the movements on Y are not equal on the line.

This leaves graph 1 which means that Lin's dad paid $10 for the tablet and then pays $5 every month for a subscription to a movie streaming website.

See more about finances at brainly.com/question/10024737

Arrange 88,667 132,414 23,112 83,001 to smallest to largest

Answers

Answer:

001,23,83,88,112,132,667

Step-by-step explanation:

Are you kidding me that you need help on this?

23,112 83,001 88,667 132,414
Did you even try to answer this question that’s easy

Please help btw the answer not 40

Answers

Answer: x=20

Step-by-step explanation: 40/2=20

X = 20 I think, I’m not sure

If f(x)=2x(With an exponent of 2) -3, find f(-2)

[tex]f\left(x\right)=2x^2-3f ( x ) = 2 x 2 − 3 find f\left(-2\right)f ( − 2 ).[/tex]

Answers

Answer:

  5

Step-by-step explanation:

Put -2 where x is and do the arithmetic.

  f(x) = 2x² -3

  f(-2) = 2(-2)² -3 = 2(-2)(-2) -3 = 8 -3

  f(-2) = 5

Answer:

f(-2) = 5

Step-by-step explanation:

We just need to substitute x with -2 and simplify.

f(x) = 2x² - 3

f(-2) = 2(-2)² - 3

f(-2) = 2(4) - 3

f(-2) = 8 - 3

f(-2) = 5

Best of Luck!

Identify the number 2.02200222000... as rational or irrational. Explain your reasoning

Answers

rational because it keeps repeating itself over and over

Round 43,846 to the nearest thousand.

Answers

44000 im pretty sure

Brainliest to the first person and the steps!

Answers

Answer:

13

Step-by-step explanation:

FC + CB = 1/2 CD + 1/2 AB = 1/4 DE + 1/2 AB

= 1/4 * 12 + 1/2 * 20 = 3 + 10 = 13

Translate this sentence into an equation. 52 is the sum of 22 and Malik's savings. Use the variable m to represent Malik's savings.​

Answers

Answer:

Malik 22+30=M

The side lengths of the rectangle (16, 32) are reduced by a scale factor of 1/4. What is the area of the new rectangle?

Answers

Answer:

32 i think

Step-by-step explanation:

16 divided by 4 is 4

32 divided by 4 is 8

4*8=32

It took Chris four minutes less than twice the amount of time as Holly to complete her homework. It took Holly thirty minutes to complete her homework. Write a numerical expression to describe the amount of time it took Carrie to complete her homework. Use parentheses for multiplication and do not put any spaces in your expression.

Answers

Answer:

30-4=26/2=13

Step-by-step explanation:

30-4=26

26/2=13

(x+2)+ 3(x+2)

Rewrite the expression as equivalent prouduct of two binomials

Answers

(x+2) + 3(x+2)
x+2+3x+6
.. ( collect like terms )
= 4x+2+6
= 4x + 8 is your answer

A triangle has vertices A(2, 2) , B(- 3, 5) and C(0, - 1) . Find the area of the triangle?

Answers

Answer: thas really confusing

Step-by-step explanation:

M
18
The midpoint of segment MN is.
: 56
:: 27
:: 18
:: 9

Answers

Answer:

27

Step-by-step explanation:

...

Solve the equation for x.



-7(x - 2) + 5(3 - x) = 4x - 3

Answers

Answer:

x=2

Step-by-step explanation:

-7x+14+15-5x=4x-3

-12x+29=4x-3

-12x-4x=-29-3

-16x=-32

x=-32/-16

x=2

Answer: x=2

Step-by-step explanation:

Simplify the equation

-12+29= 4x-3

Subtract 29 from both sides

12x=4x-32

Subtract 4x from both sides (Simplify)

-16x=-32

Divide both sides by -16

x=2

|x/3|=1

please help me <3

Answers

the correct answer is -3

A person places $4760 in an investment account earning an annual rate of 1.6%, compounded continuously. Using the formula V=PertV = Pe^{rt}V=Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 7 years.

Answers

Answer:

$5324.12

Step-by-step explanation:

Given that the principal p= $4760

rate r= 1.6%  1.6/100 =0.016  

time t= 7years

by applying the expression

[tex]V = Pe^{rt}[/tex]

We have

[tex]V = 4760e^{0.016*7}\\\\ V=4760e^{0.112}\\\\ V=4760*1.11851286065\\\\ V=$5324.12[/tex]

Hence after 7 years the money in the account will be $5324.12

What is the rate of change of the following equation?
y = X-3

Answers

The rate of change would be -3. On a graph it will be moving to the left. How come there isn’t a m that’s the slope??

PLEASE ANSWER PLZZZ HELP
In which one of the following measured numbers are all of the zeros significant?

Group of answer choices

3,700,000

1.023700

0.0307

0.000120

Answers

0.0307 or what are you giving us here?

What's the answer to this?
A. B. C. or D? ​

Answers

A. k’ moved up 3 units

1. Write an equation and solve each problem. . Sixteen is seven plus three
times a number. Find the number. i need the answer rn plzz help!! ❤️

Answers

Answer:

3 x 3+7=16

Step-by-step explanation:

16-7=9

9 divided by three equals 3

At a pumpkin patch you choose a pumpkin weighing 9.5 pounds and pay $4.75. What is the cost per
pound of the pumpkin?

Answers

its $0.5 because when you divide 4.75 by 9.5 you come out with 0.5 and when you multiply 0.5 to 9.5, you come out with 4.75, the number you started out with
hope this helped! :)

How much would you spend if your meal cost $37.24 and you want to leave an 18% tip?

Answers

Answer:

43.94 in total

Step-by-step explanation:

18% of 37.24 is 6.70 which would be the tip and adding those two numbers together would equal 43.94

Hope this helps. Plz give brainliest.

Answer: 37.42

Step-by-step explanation: first you need to add and point to the 18% like this 0.18 and add it to the first number


The fraction models below represent two fractions of the same whole. How many
7\10s are there in 1/5 ?

Answers

Answer:1 im pretty sure

Step-by-step explanation:

HELP GUYS WUICK PLEASE

Answers

The answer would be...

f(x) = 3x -5

Sorry if I am wrong
i think it’s f(x) = 3x-5

plzzz answer these i will make you brainliest

Answers

Answer:

6. (x,y) -> (x,y-4)

7. (x,y) -> (-x,y)

Step-by-step explanation:

6. You shift it 4 units down. Y makes things go up and down.

7. Youre flipping it over the Y axis. It doesnt change the Y values, only the X.

15 points :) ill mark BRAINIEST

Answers

Answer:

7 = 7x - 48

Step-by-step explanation:

Use point slope formula: y - y1 = m(x - x1)

Find slope:

(8 -(-6)) / (8 - 6)

14/2

m = 7/1

Subsitute x1 and y1, solve for y.

y - 8 = 7(x - 8)

y - 8 = 7x - 56

y = 7x - 48

Nine more than three times x is at least 15

Answers

Answer:

3x+9 ≥15

Step-by-step explanation:

three times x

3x

9 more than

3x+9

is at least 15

3x+9 ≥15

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