Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloons. He learns that the white balloons are on sale for half price. He writes and solves an equation to find the number of white balloons he can purchase.


Which models can be used to solve the problem?

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: 3/15 - 1/15 = 4/15

Step-by-step explanation: (I'm not 100% sure this is correct lol)

Answer:

Step-by-step explanation:

3/5 - 1/3

times the bottom two by eachother so they become 3/15 and 1/15

but since you times the bottome you have to times the top so it becomes

9/15 - 5/15 = 4/15

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:

0.035015x

Step-by-step explanation:

Answer:

Use corresponding triangles to get CE value.

[tex] \frac{8}{6} = \frac{ce}{9} [/tex]

CE = 12 cm

Then

DE= 12-8 = 4 cm

To calculate the area,

[tex]( \frac{9 + 6}{2} ) \times 4[/tex]

30 cm^2

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.

Rational algebraic expressions are expressions that can be represented as a quotient of two polynomials.

The result of the expressions are:

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

[tex]\mathbf{(a)\ \frac{5x}{3x - 9};\ x = 4}[/tex]

First, we substitute 4 for x

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{5 \times 4}{3 \times 4 - 9}}[/tex]

Evaluate all products

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{12 - 9}}[/tex]

Subtract

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{(b)\ \frac{y^2 + 4y + 1}{y^2- 1};\ y =-2}[/tex]

First, we substitute -2 for y

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{(-2)^2 + 4 \times (-2) + 1}{(-2)^2- 1}}[/tex]

Evaluate all products and exponents

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{4 -8 + 1}{4- 1}}[/tex]

Subtract

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{-3}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

Read more about rational algebraic expressions at:

https://brainly.com/question/21511236

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:

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

The product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be 2/15 x² + 1/30 x - 1/4.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

(1/5 x - 1/4) and (2/3 x + 1)

Then the product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be

⇒ (1/5 x - 1/4) (2/3 x + 1)

⇒ 2/15 x² + 1/5 x - 1/6 x - 1/4

⇒ 2/15 x² + 1/30 x - 1/4

More about the multiplication link is given below.

https://brainly.com/question/19943359

#SPJ1

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:

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:

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:

1200:300

4:1 is the final ratio

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

18+11

29

29*2

58

Step-by-step explanation:

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

Answer:

<

Step-by-step explanation:

8x-2 - -4x2< 4+10

-16+8<4+10

-8<14

9514 1404 393

Answer:

  8×(−2)−(−4)^2 < 36÷9+2×5

Step-by-step explanation:

The left side expression evaluates as ...

  8×(−2)−(−4)^2

  = 8×(−2) − 16

  = -16 -16

  = -32

__

The right side expression evaluates as ...

  36÷9+2×5

  = 4 + 10

  = 14

__

It should be no mystery that any negative number is less than any positive number:

  -32 < 14

  8×(−2)−(−4)^2 < 36÷9+2×5 . . . . . . . . "less than" symbol is required

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:

100

A line segment is 180 and if one side of the line is 80 then the other half has to be 100

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

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

i believe it would be -19/48

Answer:

Two opposite angles of a parallelogram are always equal.

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:

b) -5/9

Step-by-step explanation:

yeah-ya.... right?

Answer:

x < 16 ft

Step-by-step explanation:

Perimeter = x

If it is less than 16, the equation is:

x < 16

-Chetan K