Answer:
Step-by-step explanation:
Given
Solving (1): k(2)
Take t as 2 such that t = 2
This gives
Solving (2): k(t) = 7
Substitute 7 for k(t)
Add 1 to both sides
Divide both sides by 2
Answer:
150 cups and batch is 1 cup
Step-by-step explanation:
The total amount of snack mix for one recipe would be. 1. 1. 1 ... servings is 150 cups, and 1 batch is 10 cups, then she will need to bake 15 batches.
36 pages.
Answer:
5 hours
Step-by-step explanation:
Let s and w represent hours spent traveling south and west, respectively. The problem statement tells us ...
s + w = 8 . . . . . . total trip time
344s + 351w = 2773 . . . . total mileage (using d = s·t)
By Cramer's rule, we can find the value of s as ...
s = (1(2773) -351(8))/(1(344) -351(1)) = -35/-7 = 5
The plane was heading south for 5 hours.
_____
<em>Comment on Cramer's rule</em>
For the equations ...
ax +by = c
dx +ey = f
The solution for x can be found to be ...
x = (bf-ec)/(bd-ea)
Similarly, the solution for y is ...
y = (cd-fa)/(bd-ea)
Answer:
20 ft
Step-by-step explanation:
The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:
4(5 ft) = 20 ft
The height of the bird house is 20 ft.
Step-by-step explanation:
Since we have given that
Koda is solving
According to question, he used an area model to help work through each step.
So, it can be written as
so, Let the length will be
Let the breadth will be
So, area will be
So,
13×16=208
