3. Find two rational numbers between 3 and 4 by mean method.

Percent word problems Problem Luke and Matthew ran a lemonade stand on Saturday. They agreed that Matthew would get 60\%60%60, p

Tanzania [10]

Answer:

15 dollars.

Step-by-step explanation:

That would be 60% of 25

= 25 * 0.6

= 15 dollars.

4 0

2 years ago

Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an

levacccp [35]

Answer:

$m(n) = 24 (0.75)^n$

Step-by-step explanation:

1) The two points are:

a) On the first swing she swings forward by 18 degrees: (1, 18)

b) On the second swing she only comes 13.5 degrees forward: (2,13.5)

2) The general equation using the form given is:

$m(n)=A(B)^n$

3) Substitute the two points:

$18=A(B)\\ \\ 13.5=A(B)^2$

4) Divide the second equation by the first one:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) Substitue B = 0.75 into the first equation:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

$m(n) = 24 (0.75)^n$

5 0

2 years ago

9. The average diameter of an atom is 2 x 10-8 m. What if the average diameter of an atom was 1 cm? How tall would you be?

ozzi

Answer:

You'd be $2 * 10^{-6}$ times tall

Step-by-step explanation:

Given

Represent the previous and new diameter by D1 and D2;

$D_1 = 2 * 10^{-8}m$

$D_2 = 1\ cm$

To determine how tall you'd be, we need to divide D2 by D1;

$Ratio = \frac{D_2}{D_1}$

Substitute values for D2 and D1

$Ratio = \frac{2 * 10^{-8}m}{1\ cm}$

Convert cm to m

$Ratio = \frac{2 * 10^{-8}m}{1 * 0.01\ m}$

$Ratio = \frac{2 * 10^{-8}m}{0.01\ m}$

Convert denominator to exponents

$Ratio = \frac{2 * 10^{-8}m}{10^{-2}\ m}$

$Ratio = \frac{2 * 10^{-8}}{10^{-2}}$

Apply Law of indices

$Ratio = 2 * 10^{-8} * 10^2$

$Ratio = 2 * 10^{-8+2}$

$Ratio = 2 * 10^{-6}$

Hence;

You'd be $2 * 10^{-6}$ times tall

4 0

2 years ago

Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wan

yawa3891 [41]

Answer: 8

Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= $\frac{1}{10}$ of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from each remaining part of the poster board.

then, The number of signs he can make= $\frac{8}{10}\div \frac{1}{10}=\frac{8}{10}\times\frac{10}{1}=8$

Hence, Pedro can make 8 signs.

4 0

2 years ago

Read 2 more answers

The cost of a car is $15,570. You plan to make a down payment of $1,500, and a monthly payment of $338.08 for 60 months. What is

Helga [31]

Hi there
1) b
15,570−1,500
=14,070
2) a
338.08×60
=20,284.8
3)d
20,284.8−14,070
=6,214.8
4) c
338.08×60+1,500
=21,784.8

Hope it helps

4 0

2 years ago

Read 2 more answers

3. Find two rational numbers between 3 and 4 by mean method.​

3. Find two rational numbers between 3 and 4 by mean method.