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.
Answer:
The first option is correct: Angle 2 through 5
Step-by-step explanation:
Both angles 2 and 5 are directly vertical or opposite to each other and are the only angles that are proportionate/equal sizes.
The other three options are incorrect because angles 4 and 3 are not the same equal value and are right next to each other making them not vertically across.
angles 1 and 5 are close to being vertical but are not the same size as angle 1 is much smaller than angle 5.
angles 6 and 1 are next to each other making them not vertically to each other and angle 6 is much larger than angle 1.
the correct answer is angles 2 and 5, the first option.
Answer:
stephen???? not enough detail
Step-by-step explanation:
Answer:
Exact-$1,536 Estimate-$1,500
Step-by-step explanation:
26+22=48
48 x 32 = 1,536
Estimate-1,500 or 1,540
Exact-1,536
