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3 years ago

Evaluate: 54 - 75 + 81 - (-27) + 53

Mathematics

2 answers:

olga55 [171]3 years ago

7 0

Answer:

140.

Step-by-step explanation:

PEMDAS.

Since there isn't any problems that aren't adding, we can just do it step by step.

54 - 75.

-21.

Add 81.

60.

Subtract -27.

87.

Add 53.

140.

Brainiest?

Kamila [148]3 years ago

4 0

Answer:

140

Step-by-step explanation:

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is <em>1</em>.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to <em>1</em>.

6 0

3 years ago

I’m confused on my math someone help

Zielflug [23.3K]

Answer:

False, True, True are thr answers

4 0

2 years ago

Read 2 more answers

A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total rece

olganol [36]

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type

Number

Value ($)

Total Value ($)

Student

Adult

506

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was

less than three times the number of student tickets sold.

Let

be the number of student tickets.

Then

−

is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type

Number

Value ($)

Total Value ($)

Student

Adult

−

(

−

)

506

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

(

−

)

1506

Step 5. Solve the equation.

−

1506

−

1506

1551

students

Substitute to find the number of adults.

−

number of adults

(

)

−

136

adults

Step 6. Check. There were

student tickets at

each and

136

adult tickets at

each. Is the total value

$1506

We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

⋅

282

136

⋅

1224

_____

1506

✓

Step 7. Answer the question. They sold

student tickets and

136

adult tickets.

5 0

3 years ago

Can I get some help we just started this today

Alja [10]

Answer:

-2

Step-by-step explanation:

The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.

We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."

The Rise: (-2 - 4) = -6

The Run: (3 - 0) = 3

Slope = Rise/Run = (-6/3) = -2

6 0

2 years ago

6x + 2y = 12 solve for y

RUDIKE [14]

Subtract 6x from both sides to get:

2y=-6x+12

Then divide both sides by 2 to get:

y=-3x+6

4 0

3 years ago