Answer:
Han= 24 minutes
His sister= 24 minutes
His Dad= 36 minutes
Grandmother= 42 minutes
Step-by-step explanation:
Please see attached picture for full solution.
Where the working split, see the right hand side.
The question states that Han's Dad sits 1.5 times as long as both Han and his sister. There could be 2 interpretations for this:
- Dad sits for 1.5 times of (Han and his sister)
- Dad sits for 1.5 times of Han and 1.5 times of Han's sister
I've done the working for both scenarios and found out that the 1st case cannot be true since Dad would've sat for 50.4 minutes when the bus ride is only 42 minutes! Moreover, there wouldn't be enough information to know how long Han and his sister sat for.
The second case is possible and it's working is on the right.
Feel free to ask if you have any enquiries :)
Greetings!
This can be solved by creating a simple equation.

Solve for x.

Find the LCM.


Add
-5/12 to both sides.

Simplify.

Find the LCM.


He kept 7/12 of the raisins for himself.
Hope this helps.
-Benjamin
The product of any number and 0 is zero. The expression is 1*0-0/y. 1*0 is obviously 0. 0/y is the same thing as 0 * 1/y, which is also zero. 0-0 is 0, so the answer is 0.
Answer:
Part 1: Write mathematical equations of sinusoids.
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
a) What is the phase shift, c, of this curve? (2 points)
b) What is the vertical shift, d, of this curve? (2 points)
c) What is the amplitude, a, of this curve? (2 points)
d) What is the period and the frequency factor, b, of this curve? (2 points
e) Write an equation using the cosine function that models this data set. (5 points)
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to
model the curve using the sine function
Step-by-step explanation:
<em> </em><em>p</em><em>l</em><em>z</em><em> </em><em>f</em><em>o</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>
Answer:
See below ~
Step-by-step explanation:
Finding t₁₂ :
⇒ t₁₂ = t₁ + 11d
⇒ t₁₂ = 6 + 11(2)
⇒ t₁₂ = 6 + 22
⇒ t₁₂ = 28
=============================================================
Finding S₁₂ :
⇒ S₁₂ = 12/2 × 2t₁ + (12 - 1)d
⇒ S₁₂ = 6 × 2(6) + 11(2)
⇒ S₁₂ = 6 × 12 + 22
⇒ S₁₂ = 6 × 34
⇒ S₁₂ = 204