A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?

Answer:

c = 8

Step-by-step explanation:

c - 12 = -4

Add 12 on both sides

c = 12 + (-4)

c = 8

Answer:

C(C^3 + 8C^2 -3C -7)

Step-by-step explanation:

(-3C^4-5C^2-7C)+(4C^4+8C^3+2C^2)  

(-3C^4 +4C^4)+8C^3 + ( -5C^2 +2C^2)  -7C  [Combine like terms]

C^4 + 8C^3 -3C^2 -7C                                     [Simplify]

C(C^3 + 8C^2 -3C -7)                                   [Isolate 1C from the rest]

Answer:

Line 1 passes through (5, -9) and (0, -5)

We are going to use slope-intercept form of a linear equation.

First we are going to find the slope of the line.

m= -5- (-9)

-------

0-5

m=4/-5

Now substitute in the point to find the y-intercept:

Either point can be used. I am using point (0,-5)

y=-4/5x+b

-5=-4/5(0)+b

-5=b

So, the linear equation is y=-4/5x-5

Line 2 passes through (-3, 8) and (1, 3)

m=3-8

-----

1-(-3)

m=-5/4

Use slope intercept form and substitute in either point

I am using point (1,3)

y=-5/4x+b

3=-5/4(1)+b

3=-5/4+b

3+5/4=b

17/4=b

Therefore, the equation of Line 2 is y= -5/4x+17/4

Line 1: y=-4/5x-5 Line 2: y=-5/4x+17/4

Answer:

3[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{125}[/tex]

= [tex]\sqrt{25(5)}[/tex]

= [tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] = 5[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{125}[/tex] - [tex]\sqrt{45}[/tex] + [tex]\sqrt{5}[/tex]

= 5[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] + [tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{5}[/tex]

Answer:

50% 250x2=450

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

$225 x 2 = 450

this means the cell phones price was reduced by 50%

glad to help ;)

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

Hey there!

k - 10/2 = -7

k - 5 = -7

ADD 5 to BOTH SIDES

k - 5 + 5 = -7 + 5

CANCEL out: -5 + 5 because that gives you 0

KEEP: -7 + 5 because it helps solve for the k-value

NEW EQUATION: k = -5 + 7

SIMPLIFY IT & YOU HAVE YOUR ANSWER!

k = -2

Therefore, your answer is: k = -2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Answer:

61 minutes and 36 seconds

Step-by-step explanation:

150 mph is equal to 2.5 miles per minutes divide miles by 2.5

Answer:

Hassan's sister ate 5/4 pounds of strawberries.

Step-by-step explanation:

Conclusion:

Therefore, Hassan's sister ate 5/4 pounds of strawberries.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Based on the information given, it should be noted that her weekly salary will be B. $1,038.46.

It should be noted that there are 52 weeks in one year.

Based on the information given, the annual salary is given as 54000.

Therefore, the weekly salary will be:

= Annual salary / Number of weeks.

= 54000 / 52

= $1038.46

Her weekly salary is $1038.46.

Learn more about division on:

https://brainly.com/question/25678139

Answer:

The amount of tax is £178.34, and the full total is £1142.34.

Step-by-step explanation:

Use a calculator to find 18.5 percent of 964, giving us the answer we need. You may add this to the cost before tax to find the exact price after tax.

The amount of tax that is added to the cost of the computer is

£178.34.

A compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Given is that a computer costs £964. A tax of 18.5% is then added to the cost of the computer.

Assume the amount of tax that is added to the cost of the computer is

£{x}. Then, we can write the equation as -

{x} = 18.5% of 964

{x} = (18.5/100) x 964

{x} = 178.34

Therefore, the amount of tax that is added to the cost of the computer is

£178.34.

To solve more questions on percentage, visit the link below -

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Answer:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = [tex]\sqrt{x^2+y^2}[/tex]

Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]

So we have:

x = 3

y = 1

r = [tex]\sqrt{10}[/tex]

Now we can calculate all 6 trig, functions:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Answer:

Down below

Step-by-step explanation:

No

no,

yes

,I am not sure,

yes

integers are whole numbers

I am not sure of one of them sorry.

Answer: I think it is -7 and +7

Answer:

[tex]y\geq 18x+19y[/tex]

[tex]x+y\leq 13[/tex]

Step-by-step explanation:

Hope this helped! :)

Answer:

i believe that the answer is y= -1/2 +3.

Answer:

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Equation at the end of step

1

:

  34

 {——}2

  1

STEP

2

:

           34

Simplify   ——

           1

Equation at the end of step

2

:

 ((3-6) • x) • (34^2)

Equation at the end of step

3

:

 ((3)(-6) • x) • 38

Dividing exponents:

4.1    38   divided by   36   = 3(8 - 6) = 32

Final result :

 9x

The simplification of the given expression gives the value 9.

Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.

This can be done using various results or the basic operations of numbers.

Given expression is 3⁻⁶ × (3⁴ / 3⁰)².

We have to use product rule and quotient rule of exponents to simplify this.

We know that,

xᵃ × xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

Also, (xᵃ)ᵇ = xᵃᵇ

3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴

Substituting,

3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²

                       = 3⁻⁶ × 3⁸

                       = 3⁻⁶⁺⁸

                       = 3²

                       = 9

Hence the simplified form of the given expression is 9.

Learn more about Simplification of Expressions here :

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the answer might be 18.64 but im actually kinda du.mb so its probably not right.

Answer:

is 10 points alot? the other guy don't think so

Answer:

.11

Step-by-step explanation:

it is correct

Answer:

A) $.11

Step-by-step explanation:

A dozen = 12

To find unit cost you divide cost of items by # of items

In this case we have 12 eggs that cost 1.35

So unit cost = 1.35 / 12 = .11

[tex]\text{Given that,}\\\\\text{Width,}~ w = 3x-2\\\\\text{Length,}~ l = x+5 \\\\\\\text{Perimeter} =2(w+l) = 2(3x-2+x+5) = 2(4x +3) = 8x +6[/tex]

Answer:

15 meals would be $60

Step-by-step explanation:

15 ÷ 5 = 3

1. 5 = 20

2. 5 = 20

3. 5 = 20

15 = 60

Hope this helps! :)

Answer:

[tex]\displaystyle m = \frac{-7}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Point (-8, 11)

Point (17, 4)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]

We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).

The standard formula to calculate slope is given by,

Answer:

y=-1

Step-by-step explanation:

yeah-ya...... right?