Answer:
- Walnuts cost $1.75, chocolate chips cost $2.75
Step-by-step explanation:
<h3>Let the costs be:</h3>
- Walnuts - x
- Chocolate chips - y
<h3>Set equations as per question</h3>
For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:
For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:
<h3>Solve the system by elimination</h3>
Multiply the second equation by 3 and subtract the first equation, solve for x:
- 3(5x + 3y) - (7x + 9y) = 3(17) - 37
- 15x + 9y - 7x - 9y = 51 - 37
- 8x = 14
- x = 14/8
- x = 1.75
Find the value of y:
- 7*1.75 + 9y = 37
- 12.25 + 9y = 37
- 9y = 37 - 12.25
- 9y = 24.75
- y = 24.75/9
- y = 2.75
Answer:
v=2144.66
Step-by-step explanation:
formula: 4/2 (pi) (r)³
................
Remember distributive property
6(2b-4)
6(2(5)-4)
6(10-4)
6(6)
36
Answer:
B. 15
Step-by-step explanation:
Prime factors of 15 is 3 and 5
sum of 3 and 5 is 8
Momentum (kg m/s) = mass (kg) x Velocity (m/s)
97kg x 5.3 m/s = 514.1 kg m/s
