Answer:
(1, 3)
Step-by-step explanation:
2x + 3y = 11 ------------(i)
-4x + 2y = 2 ------------(ii)
Multiply equation (i) by 2.
(i)*2 4x + 6y = 22
(ii) <u>-4x + 2y = 2</u> {Now add and x will be eliminated}
8y = 24
y= 24/8
y = 3
Plugin the value of y in equation (i)
2x + 3*3 = 11
2x + 9 = 11
2x = 11-9
2x = 2
x = 2/2
x = 1
Answer:
200.96cm^2 base area
Step-by-step explanation:
Eq of circle area = πr^2
= 3.14 x 8^2
3.14 x 64
200.96cm^2
.
◆ Define the variables:
Let the calorie content of Candy A = a
and the calorie content of Candy B = b
◆ Form the equations:
One bar of candy A and two bars of candy B have 774 calories. Thus:
a + 2b = 774
Two bars of candy A and one bar of candy B contains 786 calories
2a + b = 786
◆ Solve the equations:
From first equation,
a + 2b = 774
=> a = 774 - 2b
Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie
◆ Find caloric content:
Caloric content of candy B = 254 calorie
Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie
9 3/4 = 39/4 mi/m
68 1/4 = 273/4 min
39/4 mutiply by 273/4 = 10647 / 16 mi = 665.4 mi
300,000 dollars
20-5= 15
15 × 20,000 = 300,000
