Answer:
Solution (-2, 7)
Step-by-step explanation:
2x + 3y = 17 (1)
5x + 6y = 32 (2)
Using elimination method
Multiply (-2) to the equation (1)
-4x - 6y = -34
Now you have 2 new equations
-4x - 6y = -34
5x + 6y = 32
----------------------------Add
x = -2
Substitute x = -2 into 2x + 3y = 17
2(-2) + 3y = 17
- 4 + 3y = 17
3y = 21
y = 7
Solution (-2, 7)
Answer:
B.) the number of tents the army orders
Step-by-step explanation:
The word problem does not speak of any prices or tent sizes so it cant be A or C
Answer:
P (5 , 8)
Step-by-step explanation:
P (x,y) partition A (x₁ , y₁) B (x₂ , y₂) into ratio AM:MB = a:b = 2:1 ... a=2 , b=1
x = (bx₁ + ax₂) / (a+b)
= (1 * 3 + 2 * 6) / (2 + 1)
= 15/3
= 5
y = (by₁ + ay₂) / (a+b)
= (1 * 4 + 2 * 10) / (2 + 1)
= 24/3
= 8
P (5 , 8)
The speed of the car per minute is 3,520 feet (choice c). This is because in order to solve the problem, you have to convert 40 mi/h into feet. Since there are 5,280 feet per mile, you have to do 5,280 x 40, which is 211,200, which is the number of feet per hour. But, the question is asking for ft/min. There are 60 minutes in an hour, so you divide 211,200 by 60, which is 3,520. So, the speed of the car per minute is 3,520 feet.
Answer:
C. ±square root of 30
Step-by-step explanation:
Apply the square root function to both sides of the equation:

_____
The absolute value equation has two solutions. They match choice C.