Short Answer: Tony 40 Cleo 30
Givens
T = Tony
C = Cleo
Equations
1/2 T + 1/3 C = 30 (1)
2/5 T + 1/2 C = 31 (2)
Adjustments
Multiply (1) by 3
Multiply (2) by 2
New Equations
3/2 T + C = 90 (1a)
<u>4/5 T + C = 62</u> (2a) Subtract (2a) from (1a)
(3/2 - 4/5)T = 28 the common multiple of 2 and 5 = 10.
(15/10 - 8/10)T = 28
7/10 T = 28 Multiply by 10
7T = 28*10
7T = 280 Divide by 7
T = 280/7 = 40
Put T = 40 into (1)
1/2 T + 1/3 C = 30
1/2 (40) + 1/3 C = 30
20 + 1/3 C = 30 Subtract 20 from both sides.
1/3 C = 30 - 20
1/3 C = 10 Multiply through by 3
C = 10 * 3
C = 30
Answer:
Cleo has 30 books.
Tony has 40 books.
Check
<em>Use Equation 2</em>
2/5 T + 1/2 C = 31
2/5*40 + 1/2 * 30 = ? 31
16 + 15 =?3`
31 = 31 They are equal.
The second one. Do the math. .35 x 63 = 22.05
Answer:
1/26
Step-by-step explanation:
Angle 1 = 130°
Angle 2 = 124°
Angle 3 = 56°
Angle 4 = 52°
Angle 5 = 72°
Angle 6 = 94°
I primarily used the triangles to get my answers. Remember the angles in a triangle add up to 180°.
Answer:
15.7 cm
Step-by-step explanation:
Angle AD = 180°- 66.4°= 113.6° (considering 2x90°=180° on opposite side)
P= 2*3.14*7.9=49.6 cm
Arc AD= 49.6*113.6°/360°= 15.7 cm
