Answer:
a) 4 people ordered streak dinner
b) 3 people ordered chicken dinner
Step-by-step explanation:
Let the number of people that ordered steak dinner be x
and the number of people that ordered chicken dinner be y
From the question,
There are 7 people in your family
Hence, we can write that
x + y = 7 ...... (1)
Also from the question
Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.
We can then write that
13y + 18x = 111 ...... (2)
From equation (1)
x + y = 7
Then,
x = 7 - y ...... (3)
Put this into equation (2)
13y + 18x = 111
13y + 18(7 - y) = 111
13y + 126 - 18y = 111
-5y = -15
5y = 15
y = 15 / 5
y = 3
Put the value of y into equation (3) to get x
x = 7 - y
Then
x = 7 - 3
x = 4
Hence, 4 people ordered streak dinner
and 3 people ordered chicken dinner
a) 4 people ordered streak dinner
b) 3 people ordered chicken dinner
Answer: Option C is correct
Step-by-step explanation:
We know tha tCos(A-B) = cosA cosB + sinAsinB
Plugging A = 180 and B = Ф
cos(180-Ф)= cos180cosФ+sin180sinФ
= (-1) cosФ+ (0) sinФ [ since cos180=-1 and sin180 =0]
= -cosФ + 0
= -cosФ
Therefore option C is the correct answer.
Answer:
630,630 different arrangements are possible for the given laptops.
Step-by-step explanation:
Total number of laptops = n = 15
Number of identical Dell laptops = 6
Number of identical Chromebooks = 4
Number of identical Mackbooks = 5
We have to find in how many ways can the laptops be arranged. Number of arrangement of objects is calculated using Permutations as the order of objects matter during the arrangement. The formula to calculate the number of possible arrangements when there are similar objects is given as:
Here n is the total number of objects and a,b, and c represent the number of identical objects. Using the given values we get:
This means 630,630 different arrangements are possible for the given laptops.
I am not sure, but the answer is probably option A. Graph A.
