Which is the expanded form of 3.69?

Answers

Answer 1

Answer: The expanded form for 3.69 is 3+0.6+0.09. How you do that is because the three is a whole number so it stays a whole number, the 6 is in the tenths spot and so it would be 0.6 because that is counting tenths. The 9 is in the hundredths spot so it has to be in expanded form as hundredths. And 2 spots over is hundredths so that is how you get that 9 in expanded form.

Answer 2

Answer: $3.69=3+0.6+0.09$

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6x^3 + 9x^2 + 2x +3 factor thos expression with work?

Answers

split it up an group with like ones (6x^3 with 2x since 6 and 2 are divisble by 2 and 9x^2 with 3 since both divisible by 3)
(6x^3+2x)+(9x^2+3)
undistribute using reverse distributive property (ab+ac=a(b+c))

2x(3x^2+1)+3(x^2+1)
undistribute again
(3x^2+1)(2x+3)

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

Answers

Answer:

x = 4 or x = 12

Step-by-step explanation:

Given:

y = -10x² + 160x - 430

When y = $50

50 = -10x² + 160x - 430

50 + 430 = -10x² + 160x

480 = -10x² + 160x

-10x² + 160x - 480 = 0

Divide through by -10

x² - 16x + 48 = 0

Solve the quadratic equation using factorization method

+48 = -12 × -4

-16 = -12 -4

Therefore,

-12 and -4 are both factors

x² - 16x + 48 = 0

(x - 4 )(x - 12 ) = 0

x - 4 = 0

x = 4

x - 12 = 0

x = 12

Answer:

Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).

Step-by-step explanation:

162 is what percent of 200

Answers

In order to find out what percentage of 200 162 is, we just need to divide 162 by 200.

162 / 200 = 0.81

To transform the decimal to a percentage, we just need to multiply it by 100.

0.81 * 100 = 81

162 is 81% of 200.
Hope that helped =)

Answer:

81%

Step-by-step explanation:

1. We assume, that 200 equals 100% -because it's the output value of the task

2. We assume, that x is the value we are looking for.

3. If 100% equals 200,so we can write it down as 100%=200

4. We know, that x% equals 162 of the output value, so we can write it down as x% =162

5. Now we have two simple equations

1) 100%=200

2) x%=162

where the left sides of both of them have the same units, and both of the right sides have the same units, so we can do something like that:

100%/x%=200/162

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. the solution for 162 is what percent of 200

100%/x%=200/162

(100/x)*x=(200/162)*x -we multiply both sides of the equation by x

100=1.234567890123*x -we divide both sides of the equation by (1.234567890123) to get x

81%=x

x=81%

now we have:

162 is 81% of 200

hope this helps!

Tickets to a school production cost $5 for a student ticket and $10 for an adult ticket. A total of 67 tickets were purchased at a cost of $440.Which value could replace c in the table?

A. 67
B. 440
C. 67 – a
D. 440 – a