Graph: y < 1/3x+1/2

The 2 expressions: 10x + 100 and 20x + 20

20x + 20:

20 dollars per visit (20x)  ;  20 dollar fee (20)

10x + 100 = 20x + 20    Subtract 10x from both sides

100 = 10x + 20          Subtract 20 from each side

80 = 10x               Divide by 10

Answer:

b) -5/9

Step-by-step explanation:

yeah-ya.... right?

Answer:

12.56 inches

Step-by-step explanation:

Answer:

22.84, 5.83

Step-by-step explanation:

Pythagoras theorem states that: a^2+b^2=c^2

So, for red triangle, it will be: 9^2+21^2=b^2

81+441=b^2

522=b^2

square root of 522=b

22.84=b

For purple one,

3^2+5^2=a^2

9+25=a^2

34=a^2

square root of 34=a

5.83=a

Answer:

f(12) = 90

Step-by-step explanation:

This is more of a notation problem than anything else.

The x on the left means that the variable is x. That sounds weird I know, but it starts out this way.

f(variable) =  8*variable - 6

Where you see the word variable, you put the letter x and that gives you the question.

f(x) = 8*x - 6

That is math shorthand for whatever you see on the left, like an x or in this case 12, you put the value 12 in for x on the right. It will look like this.

f(12) = 8*12 - 6   Now it just becomes a calculator problem.

f(12) = 96 - 6

f(12) = 90

Answer:

The machine decreases in value by 20% each year.

After 1 year the machine is worth only .8 of its original value.

The machine will only decrease by .2 * (.8 A) in the second year not .2 * A where A is the  original amount.

A1 = .8 A

A2 = .8 A1 = .64 A    value of machine after 2 years

.8 is the value Barry needs when the machine is  new

.8^n never goes to zero

After 10 years   value = .8^10 A = .11  A of its original value

Answer:

10. x = -23          

Step-by-step explanation:

-3.8x - 5.9x = 223.1

-9.7x = 223.1         (-3.8 minus 5.9)

x = -23    (223.1 divided by -9.7)

Answer:

12. x = 70

Step-by-step explanation:

(-3/5)x - (7/10)x + (1/2)x = -56

-(4/5)x = -56       ( -3/5 minus 7/10 plus 1/2)

x = 70        (-56 divided by -4/5)

Answer: 300

Step-by-step explanation:

0.75 inches : 25 miles

we can times 0.75 by 12 to get 9, we have to do the same thing on the other side.

9inches : 300 miles

Answer:

x < 16 ft

Step-by-step explanation:

Perimeter = x

If it is less than 16, the equation is:

x < 16

-Chetan K

Answer:

44.5 mL

Step-by-step explanation:

337 × 13.2%

= 337 × 0.132

= 44.484 mL

= 44.5 mL (1dp)

Answer:

An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.

The number of hours Lourdes will have to jog is 0.4 hours

From the given parameters:

Lourdes plans to jog for at least a distance of 1.5 miles

If Lourdes can jog averagely at the speed of 3.75 mph

Then,

the inequality that can represent the information can be written as:

= 1.5 miles ≤ 3.75 (x) miles/hour

Solving the inequality;

= 1.5 ≤ 3.75 (x)

Making (x) the subject of the formula, we have:

x =  0.4 hours

Therefore, we can conclude that the number of  hours lourdes will have to jog is 0.4 hours

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

-kiniwih426

Answer:

Step-by-step explanation:

i think that the answer is a, because the def of natural numbers match's and there all integers.

Answer:

x = 4

Step-by-step explanation:

  f(x) = 4x-5

    11 = 4x-5

4x-5 = 11

   4x = 11+5

        = 16

     x = 16÷4

        = 4

Answer:

The first option

Step-by-step explanation:

Because you cannot have a negative squared root

Answer:

a.

Step-by-step explanation:

I had this question before lol.

Step-by-step explanation:

1-2cos²c.

> (cos²c+sin²c)-2cos²c. (cos²c+sin²c=1)

> cos²c+sin²c-2cos²c

> sin²c-cos²c.

is your correct answer.

hope this helps you.

Answer:

it would be .1111111111

Hope this helps

Answer:

.1 repeating

Step-by-step explanation:

.1 repeating= .11111111111

Hope this helps.

Answer:

-155

Step-by-step explanation:

-8\cdot \:9-83

-72-83

=-155

i believe it would be -19/48

Answer:

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

Step-by-step explanation:

3 tanx = -√3

tan x = - 1/√3

if 0° ≤ x ≤ 360°

x = 150°   or   x = 330°     (5/6 π , 11/6 π)

if x can be beyond 2π (360°) , above or below

x = 5/6 π + 2nπ      or   x = 11/6 π + 2nπ

Answer:

[tex]10x-3\left(x-7\right)=x+39[/tex]

[tex]-3\left(x-7\right)[/tex]

[tex]-3x+21[/tex]

[tex]10x-3x+21=x+39[/tex]

** Combine like terms ↓ **

[tex]10x-3x=7x[/tex]

** Subtract 21 from both sides ↓**

[tex]7x+21-21=x+39-21[/tex]

[tex]7x=x+18[/tex]

** Subtract x from both sides ↓ **

[tex]7x-x=x+18-x[/tex]

[tex]6x=18[/tex]

**Divide both sides by 6 ↓*

[tex]\cfrac{6x}{6}=\cfrac{18}{6}[/tex]

[tex]x=3[/tex]

Answer:

Step-by-step explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

Lets verify:

Answer:

SAS

Step-by-step explanation:

AB ≅ DE                                        Given

AC ≅ DE                                         Given

∠ A  and ∠B are right angles        Given

∠A ≅ ∠B                                        All right angles are ≅

Answer:

0.035015x

Step-by-step explanation:

ATQ

[tex]\\ \sf\longmapsto x+2x-3=24[/tex]

[tex]\\ \sf\longmapsto 3x-3=24[/tex]

[tex]\\ \sf\longmapsto 3x=24+3[/tex]

[tex]\\ \sf\longmapsto 3x=27[/tex]

[tex]\\ \sf\longmapsto x=9[/tex]

Answer:

9 hours Cathy study per week

Step-by-step explanation:

=> according to the question

➪ x+2x-3=23

➪ 3x-3=24

➪ 3x=24+3

➪ 3x=27

➪ x= 27/3

➪ x= 9

Answer:

?????

Step-by-step explanation: