solve for z: -4 - (z - 6) = 12

Answers

Answer 1

Answer:

z = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

Distribute negative:                              -4 - z + 6 = 12Combine like terms:                             -z + 2 = 12Subtract 2 on both sides:                    -z = 10Divide -1 on both sides:                        z = -10

Step 3: Check

Plug in z to verify it's a solution.

Substitute:                    -4 - (-10 - 6) = 12Subtract:                       -4 - (-16) = 12Simplify:                        -4 + 16 = 12Add:                               12 = 12

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

Answer 2

Answer:

z = -10

Step-by-step explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10


Related Questions

joyce traveled at an average speed of 60 miles per hour for 4.5 hours and then traveled at an average speed of 35 miles per hour for 1.5 hours. What was the total distance in miles that joyce traveled during this time ?

Answers

Answer:

322 1/2 miles

Step-by-step explanation:

Recall how s = d/t ; speed = distance/time.

To effectively solve for distance traveled, rearrange the formula so that distance is on the left-hand side by multiplying speed, and time.

speed × time = distance/time × time

speed × time = distance

distance = speed × time ; d = st.

Now to find the total distance traveled, individually multiply the rate of speed with the time. Time will cancel, and we will get the total mileage.

Given an average speed of 60 mph at a certain time for 4.5 hours, and another average speed of 35 mph at another time of 1.5. Calculate the distance individually, and then add both distances together. Distance 1 = 60 mph × 4.5 h = 60 miles / h × 4.5h = 60 miles × 4.5 = 270 miles.

Distance 2 = 35mph × 1.5h = 35 miles / h × 1.5h = 35 miles × 1.5 = 52 1/2 miles.

Distance 1 + Distance 2 = Total distance.

270 miles + 52 1/2 miles = 322 1/2 miles.

As an estimation we are told 5 miles is 8 km.
Convert 30 miles to km.

Answers

Answer:

48km

5miles = 8km

×6 = ×6

30miles= 48km

Find the domain and range of y=-5x-1

Answers

Answer:

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

Finding the domain:

The domain of a function is the set of possible input values for which the function is real and defined.

Given the function

[tex]y=-5x-1[/tex]

The function has no undefined points nor domain constraints. Hence, the domain is

[tex]-\infty \:<x<\infty \:[/tex]

i.e.

[tex]\mathrm{Domain\:of\:}\:-5x-1\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Finding the range:

The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.

The range of polynomials with odd degree is all the real numbers.

Hence, the domain is

[tex]-\infty \:<y<\infty \:[/tex]

i.e.

[tex]\mathrm{Range\:of\:}-5x-1:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

75% of the items collected at the food drive were cans of soup. If 90 cans of soup were
collected, how many items were collected in all?

Answers

Answer:

67.5

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

If 90 cans of soup were collected and it was 75%, take 90/3=30. If 25% of all cans is 30 then when you multiply by 4, to get 100%, you have 120 cans. Also 120/75%= 90

Solve the proportion below. X/12=12/72

Answers

Answer:

x=2

Step-by-step explanation:

2/12 is equal to 12/72

Answer:

its 2

Step-by-step explanation:

When it is about 68°F, crickets chirp 124 times a minute. When it is about 80°F, they chirp 172 times a minute. WRITE an equation in POINT SLOPE FORM for the line that models this situation.

Answers

Answer:

4x+148

Step-by-step explanation:

Let the temperature be x and time taken by cricket to chirp be y

if when it is about 68°F, crickets chirp 124 times a minute, this means;

at x1 = 68, y1 = 124

If it is about 80°F, they chirp 172 times a minute, then;

at x2 = 80, y2 = 172

The standard form of equation in point slope form is expressed as;

y-y0 = m(x-x0)

m is the slope

(x0, y0) is a point on the line.

First we need to get the slope.

m = y2-y1/x2-x1

m = 172-124/80-68

m = 48/12

m =4

Substitute m = 4 and any point into the expression above. Using the coordinate (68, 124)

get the intercept c

124 = 4(68) + c

c = 272-124

c = 148

The required equation is expressed as y = 4x+148 OR y - 124 = 4(x-68)

Which of the following describes the transformation shown?
a. dilation with a scale factor of 2
b. rotation of 90º CCW
c. reflection over the x-axis
d. translation up 2 units

Answers

C) reflection over the x-axis

iven: PA = PC and BA = BC. Use the diagram to find the length described.

Suppose PA = 15 cm and PB = 9 cm. What is the length of AC?

pabc

AC is
cm in length.

Answers

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[tex]BA = BC = 12[/tex]

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[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

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What words do I fill the blanks in with? Please hurry <3

Answers

Answer:

It says why you suck at cooking

Hope this helps!! :D

WILL GIVE BRAINLIES- ARITHMETIC SEQUENCE

Answers

Answer:

2,322,775

Step-by-step explanation:

[tex] a_1=4\\\\

a_i=a_{i-1}+11\\\\

\implies a_2=a_{2-1}+11\\a_2= a_1+11 \\a_2= 4+11 \\a_2= 15\\\\

d = a_2-a_1 \\d= 15-4 \\d= 11\\\\

S_{650}=?\\\\

\implies n = 650\\\\[/tex]

By the formula of sum of an Arithmetic Sequence

[tex] S_n= \frac{n}{2} [2a_1+(n-1)d]\\\\

S_{650}= \frac{650}{2} [2\times 4+(650-1)\times 11]\\\\

S_{650}= 325 [8+649\times 11]\\\\

S_{650}= 325 [8+7,139]\\\\

S_{650}= 325\times 7,147\\\\

\huge \red {\boxed {S_{650}=2,322,775}} [/tex]

Libby takes a test that has a total possible score of 500. Each question is worth the same number of points. If she misses 4% of the questions, what is her score?

Answers

Answer:

Step-by-step explanation:

We can use the markdown formula to solve this question because it is the same type of problem.

= R x P

1. = 500 x 0.04

= 20

2. 500 - 20

= 480

I'd like to imform you about responsible internet usage. Social sites like this shouldn't be used for asking people to be their girlfriend. They should especialy not be used for inappropriate reasons either. I've seen very offensive pictures on this website. Thank you for listening! Have a great day!

Key: R = Percentage Rate P = Original Price

3 3/4 divided by 3/4

Answers

Answer:

5

Step-by-step explanation:

3 3/4 divided  by 3/4  is equal to 15/4 divided by 3/4

which is 15/4 times 4/3  the 4's cancel each other out making it 15/3 which is 5

Answer:

The answer is 5

Step-by-step explanation:

i dont really know how i know it just do.

please help this is the only question im stuck on

Answers

i think a, bc for the x it’s 2x and the y is +5

In ΔMNO, the measure of ∠O=90°, OM = 1.8 feet, and NO = 4.1 feet. Find the measure of ∠M to the nearest degree.

Answers

Answer:

66°

Step-by-step explanation:

tan β = [tex]\frac{4.1}{1.8}[/tex]

β = arctan [tex]\frac{4.1}{1.8}[/tex] ≈ 66°

How much will you get paid if you work 28.5 hours for $7.75 per hour?

Answers

Answer: 28.5 hrs x 7.75 = $220.875
This can be rounded up to $220.90

Hope this helps :)

Answer:

$220.88

Step-by-step explanation:


What is the equation of the line?

Answers

Answer:

y=-3x-3

Explanation:

If you do rise over run, you would see it goes down then right making it negative. It goes 3 down and 1 right making the slope -3. It crosses the y axis at -3 so the y intercept is -3. Have a good day

i just need help with this one question

Answers

Answer: 1/4 chance of picking red

Step-by-step explanation: There are 120 buttons in all, so the fraction of red marbles is 30/120. 30/120 = 1/4

Hope this helps!

Answer:

30/120

Step-by-step explanation:

Add 30+30+60

120/ 4 because 60/2 is 30 so thats two 30s

then there is a 30 out of 120 chance it is red

x^2 plus 2y divideed by 2x plus 3z equal

Answers

Answer:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

Step-by-step explanation:

Doing this problem correctly requires the application of "order of operations" rules.  "x^2 plus 2y" actually means "(x^2 plus 2y"), and so your

x^2 plus 2y divided by 2x

comes out to:

(x^2 plus 2y")

--------------------

         2x

If we now divide this result by "2x plus 3z," we get:

  (x^2 plus 2y")

  --------------------

            2x

================

      2x + 3

or:

(x^2 plus 2y")

--------------------

    2x(2x + 3)

One dollar can buy a bottle of mineral water two empty bottles can be exchanged for a bottle of mineral water question:how many bottles of mineral water can you drink at most with 20 dollars

Answers

Step-by-step explanation:

If one dollar can buy a bottle of mineral water, then;

$1 = 1 bottle

To determine the amount of mineral water you can drink  with at most  20 dollars, we will say;

$20 = x bottle

Solving both equality postulate;

$1 = 1 bottle

$20 = x bottle

Cross multiply

1 * x = 20 * 1

x = 20

Hence about 20 bottles of mineral drink can be bought with at most 20 dollars

Answer: 39

Step-by-step explanation:

You exchange $20 for twenty bottles of mineral water.

[Drank: 20

Exchanged: 20/2=10]

[Drank: 20+10

Exchanged: 10/2=5]

[Drank: 20+10+5

Exchanged: 4/2=2]

[Drank: 20+10+5+2+1

Exchanged: 2/2=1]

Drank in total: 20+10+5+2+1+1

which is = 39

Here is a representation showing the amount of red and blue paint that make 2 batches of purple paint. How many batches are made with 15 cups of red paint?

Answers

Answer:

Step-by-step explanation:

7

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function C equals 34.95 you +6.25 where you is the number of uniforms but if there are at least eight players but no more than 12 players on the team what is the domain you of the function for this situation

Answers

Answer:

8 ≤ u ≤ 12

Step-by-step explanation:

Given:

C = 34.95u +6.25

Where,

u = number of uniforms

what is the domain you of the function for this situation

The number of uniforms depend on the number of players

If there are at least 8 players but not more than 12 players on the volleyball team.

u ≥ 8

u ≤ 12

The domain of the function is

8 ≤ u ≤ 12

What is the y-intercept?
4

Answers

Answer:

A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0,-4)

Step-by-step explanation:

How do you write 66% as a decimal?​

Answers

Answer:

0.66

Hope this helps!

Answer:

0.66

Step-by-step explanation:

Move the decimal twice to the left whenever you try to convert a percent to a decimal

It took 48 minutes to drive downtown. An app estimated it would be less than that. If
the error was 20%, what was the app's estimate?

Answers

Answer:

38.4 minutes

Step-by-step explanation:

Assuming the error was 20% less

Answer:

40 mins

Step-by-step explanation:

2 The following functions are equivalent.
Sketch a graph and label the points.
f (2) = 3 (x + 4) (x – 4)
f (x) = 3x2 - 48

Answers

2x2 − 12x + 21. Axis of symmetry. 2.

Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.
The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?

Answers

Answer:

Note. There is a mismatch between the graph and the equation

------------------------------

As per the graph, 6 ft is reached at 4 secondsThe graphed line is f = 1.5s

------------------------------

If we go by the equation, then:

f = 2.25s6 = 2.25ss = 6/.2,25s = 2.67 seconds


Find the value of x that makes A||B.

22 = 3x - 20 and 25 = x + 20
x = [?]
Enter

Answers

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[tex]angle \: 2 \: = angle \: 5[/tex]

[tex]3x - 20 = x + 20[/tex]

Add sides 20

[tex]3x - 20 + 20 = x + 20 + 20[/tex]

[tex]3x = x + 40[/tex]

Subtract sides x

[tex] - x + 3x = - x + x + 40[/tex]

[tex]2x = 40[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{40}{2} \\ [/tex]

[tex]x = 20[/tex]

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a metal block has a mass of 60kg and a volume of 0.5 meter cube. what is the density of the metal​

Answers

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3

The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?

Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.

Answers

9514 1404 393

Answer:

  Each strawberry contains 4 calories

Step-by-step explanation:

The graph crosses the vertical line for 1 strawberry above the intersection with the horizontal line for 3, so there are more than 3 calories in 1 strawberry. The graph crosses "strawberries = 1" at about "calories = 4", matching the first statement.

Similarly, the graph crosses the vertical line for 4 strawberries above the horizontal line for 15 calories. An estimate of 16 calories for 4 strawberries is consistent with the first statement (4 calories in each strawberry).

The point (6, 24) is on the graph, but it means (6 strawberries, 24 calories), not the other way around.

The appropriate choice is ...

  Each strawberry contains 4 calories

Answer:

its 4 calories, A

Step-by-step explanation:

i just got it right on edge

Simplfy 7xy + 8x + 5xy + 6x

Answers

Answer:

12xy+14x

Step-by-step explanation:

12xy+14x

Hope this helps :3

Answer:

12xy + 14x

Step-by-step explanation:

I believer this is correct

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