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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Topic: Algebra I


Related Questions

what value of y will make the equation true?

Answers

The one that is the correct one is the good answer because 1 4 and I

given : 2x+8=5x-13; prove x=7

Answers

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

Number between 17/4 and V20

Answers

Answer:

4.485

Step-by-step explanation:

 [divide 17 by 4]

  [  ]

Now, Midpoint of  4.25 and 4.472 =

Number between 4.25 and 4.472 =4.485

Or number between  and  is 4.485.

Evaluate f(x) = -3x+3 for x=-2

Answers

Answer:

9

Step-by-step explanation:

-3*-2 is 6+3 is 9

2 negatives equal a positive when multiplying or dividing

The answer fam is.....9

WHAT IS THE DIFFERENCE BETWEEN A RELATION AND A FUNCTION?

Answers

Answer:

The Difference between a relation and a function is that a relation is a sett of "any" ordered pair. A function is a set of ordered pairs with only one value

High Hopes^^

Barry-

Answer:

Step-by-step explanation:

A relation is any set of ordered pairs. A function is a set of ordered pairs where there is only one value of \begin{align*}y\end{align*} for every value of \begin{align*}x\end{align*}

What is 0.00005 in standard form?

Answers

Answer:

0.00005 is in standard form.

Step-by-step explanation:

X2 (6x+ 1) (3x-9) = 0

Answers

Answer:

x = 0, [tex]-\frac{1}{6}[/tex], 3

Step-by-step explanation:

Hey there!

Step 1: Regroup terms.

2x(6x + 1) (3x - 9) = 0

Step 2: Solve for x.

x = 0, [tex]-\frac{1}{6}[/tex], 3

~I hope I helped you! :)~

Factor the following polynomial
a^4 b^3-a^3b^4 +a^2b^5

Answers

Answer:

a^2 b^3 (b^2 - a b + a^2)

Step-by-step explanation:

Factor the following:

a^2 b^5 - a^3 b^4 + a^4 b^3

Hint: | Factor common terms out of a^2 b^5 - a^3 b^4 + a^4 b^3.

Factor a^2 b^3 out of a^2 b^5 - a^3 b^4 + a^4 b^3:

Answer: a^2 b^3 (b^2 - a b + a^2)

Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?

Answers

Answer:

10.8 shots

Step-by-step explanation:

Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18. The answer we get is 10.8, but we can't have a part of a shot.

Which of the following is a true statement?

The opposite of −45 is equal to the absolute value of −45.
The opposite of 45 is equal to the absolute value of −45.
The opposite of −45 is not equal to the absolute value of 45.
The opposite of 45 is equal to the absolute value of 45.

Answers

Answer:

The opposite of 45 is equal to the absolute value of -45.

Absolute value means switching to to a negative if it's a positive and if it's a negative to a positive. For 0, it remains 0 and doesn't switch to a -/+.

Answer:

The opposite of 45 is equal to the absolute value of -45

Step-by-step explanation:

Hope this helps!

y = x - 2
y = 3x + 4
Is (4, 2) a solution of the system?

Answers

Answer:

No

Step-by-step explanation:

If you plug in the coordinates (4,2) to y=x-2 it will give you 2=2 which is rite, but if you plug it in to y=3x+4 it will give you 2=16 which isn't rite.

10x + 12 = [2+3(2x-4)+1]
Solve for x

Answers

Answer:

-21/4

Step-by-step explanation:

standard form of y=-3/2+7

Answers

Answer:

2y=11

Step-by-step explanation:

Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^).
125x^3+343y^3

Answers

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b³) , thus

125x³ + 243y³

= (5x)³ + (7y)³

= (5x + 7y)((5x)² - 5x(7y) + (7y)² )

= (5x + 7y)(25x² - 35xy + 49y²)

4x + 3 - 2x + 7 = 24

Answers

Answer:

x=7

Step-by-step explanation:

4x+3-2x+7=24

We move all terms to the left:

4x+3-2x+7-(24)=0

We add all the numbers together, and all the variables

2x-14=0

We move all terms containing x to the left, all other terms to the right

2x=14

x=14/2

x=7

   

-1/2 = m -7/4
solve for m

Answers

Answer:

[tex]\boxed {m = \frac{5}{4}}[/tex]

Step-by-step explanation:

Solve for the value of [tex]m[/tex]:

[tex]-\frac{1}{2} = m - \frac{7}{4}[/tex]

-Switch sides:

[tex]m - \frac{7}{4} = -\frac{1}{2}[/tex]

-Add both sides by [tex]\frac{7}{4}[/tex] and the least common multiple of both [tex]2[/tex] and [tex]4[/tex] is [tex]4[/tex]. So, convert [tex]-\frac{1}{2}[/tex] to a fraction with denominator [tex]4[/tex]:

[tex]m - \frac{7}{4} + \frac{7}{4} = -\frac{1}{2} + \frac{7}{4}[/tex]

[tex]m = -\frac{2}{4} + \frac{7}{4}[/tex]

-Since both [tex]-\frac{2}{4}[/tex] and [tex]\frac{7}{4}[/tex] have the same denominator, then you would add the numerators:

[tex]m = \frac{-2 + 7}{4}[/tex]

[tex]\boxed {m = \frac{5}{4}}[/tex]

Therefore, the value of [tex]m[/tex] is [tex]\frac{5}{4}[/tex].

Albert bought 3 blank tapes for $5.95. Find the cost per tape to the nearest cent.​

Answers

Answer:

17.85

Step-by-step explanation:

just times 5.95 by 3

Solve for x. Show each step and explain.
4.5(8-x)+36=102-2.5(3x+24)

Answers

Answer: x= -10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4.5(8−x)+36=102−2.5(3x+24)

(4.5)(8)+(4.5)(−x)+36=102+(−2.5)(3x)+(−2.5)(24)(Distribute)

36+−4.5x+36=102+−7.5x+−60

(−4.5x)+(36+36)=(−7.5x)+(102+−60)(Combine Like Terms)

−4.5x+72=−7.5x+42

−4.5x+72=−7.5x+42

Step 2: Add 7.5x to both sides.

−4.5x+72+7.5x=−7.5x+42+7.5x

3x+72=42

Step 3: Subtract 72 from both sides.

3x+72−72=42−72

3x=−30

You can do it from here

Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x. Determine the missing steps and justifications.

Answers

Answer:

Steps have justified that;

y = $250 + $340x

Step-by-step explanation:

We are told Lewis is saving for a down payment of $8,750 on a house.

Now, the initial amount of money he has saved is $250, while the amount of money he plans on saving every month is $340.

Thus, if x represents the number of months and y represents the total amount of savings. It means that;

For x number of months, he saves; $340x

Now, the initial amount he saved is $250.

This means that the total amount he would have saved after x number of months is;

Total amount saved = Initial savings + Amount saved monthly after x number of months.

Now, total amount saved is denoted as y as given in the question, then we have;

y = $250 + $340x

Answer:

subtraction

y-250=340x

division

y-340=250x

Step-by-step explanation:

what value of x makes the following equation true 4+3x=160

Answers

Answer:

x=52

Step-by-step explanation:

160=4+3x

Subtract 4 from both sides

156=3x

Divide 3 from both sides

x=52

What is the slope between the points (-10, 15) and (-13, 5)? What is the equation of the line in point slope form?

Answers

Answer:

y-15=-10/3 (x+10)

Step-by-step explanation:

Geom_CQA1_20-21
Question: 1-5
The endpoints of MN are located at M (-4, 4) and N (2,-2). What are the coordinates of the point P that divides MN such that MP : PN is equal to 2: 1?
(-3.5, 2.5)
(-2,2)
(-1, 1)
(0,0)

Answers

Answer:

The coordinates of the point P is (0,0)

Step-by-step explanation:

Here, we want to find the coordinates of point P which divides the segment MN in the ratio 2 to 1.

Mathematically, what we shall use here is the internal division formula;

The internal division formula is given as follows;

(x,y) = (nx1 + mx2)/(m + n) , (ny1 + my2)/(m + n)

From the question;

x1 = -4

x2 = 2

y1 = 4

y2 = -2

m = 2

n = 1

By substituting, we have;

(1(-4) + 2)2))/(1 + 2) , (1(4) + 2(-2))/(1+2)

= (-4 + 4)/3 , (4-4)/3

= (0,0)


Q. Which of these graphs matches the equation y = -3x?

Answers

Answer:   C

.......................

Answer: A

Step-by-step explanation:

need help with this ​

Answers

Answer:

[tex]-5x^2-26[/tex]

Step-by-step explanation:

[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]

i rly need plz help so plz help :/

Answers

Answer:

Step-by-step explanation:

Follow PEMDAS

P = parenthasees

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

There are no P or E or M

so divide

-3 = h + 4

then we just subtract four on both sides

h = -7

Which category does each card go into?

Answers

Step-by-step explanation:

E3, E6, E11, E7: no solution

E1, E12 : 1 solution

E2, E8, E10 : infinite solutions

Answer:

See attached

Step-by-step explanation:

The answer is attached

Infinitely many solutions

E2, E8, E10

One solution

E1, E7, E12

No solution

E3, E6, E11

what is the answer to this problem 1/3-9=14x-7-13x

Answers

Answer:

(1/3) - 9 + 7 = 14x - 13x

-5/3 = x

Marco needs to buy some dog food at the nearest store five bags of dog food cost $27 and 50 Cent how much would Marco spin on three bags of dog food

Answers

Answer:

16.5

Step-by-step explanation:

27.50/5 =5.5x3=16.5

+
Problem
Step 1
Step 2
Step 3
Step 4
Step 5
3(-4 + x) -5x = 7x + 15
-12 +3x -15x = 7x + 115,
-12 -12x + 12x = 7x + 12x +15
-12 = 19x + 15
-12 -15 = 19x + 15 -151
-27 = 19x
8
Step 6
x= - 1 19

Answers

Answer:

step 1

Step-by-step explanation:

please helpppppp !!!

Answers

Answer - 2,500,000 people

Answer:

The answer would be A. It is the population PER YEAR, so it would not be C or D because the population change is only negative, and -2,500,000 people/year is way too much. It must be A, -83,333 people/year. Hope I helped!

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