Answer:
Step-by-step explanation:
RSB is a right angle
12. RSB is 90 degrees
13. A right angle is 90 degrees
H is between P and S
14. PS + PH = HS
15. Deductive Reasoning
9514 1404 393
Answer:
5x +20y = T
Step-by-step explanation:
There are 5 envelopes in each of x small packets, for a total of 5x envelopes in small packets.
There are 20 envelopes in each of y large packets, for a total of 20y envelopes in large packets.
The total number envelopes is then ...
T = 5x +20y
The ages of Olivia and her brother are 10 years and 11 years respectively
Let x₁, and x₂ be the ages of Olivia and her brother respectively.
Given that Olivia's brother is twice her age minus 9 years.
⇒ x₂ = 2x₁ - 9 → equation 1
Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.
⇒ x₂ = 1/2 × (x₁ + 12) → equation 2
Using equation 1 in equation 2, we get
2x₁ - 9 = 1/2 × (x₁ + 12)
⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)
⇒ 4x₁ - x₁ = 12 + 18
⇒ 3x₁ = 30
⇒ x₁ = 10 (dividing by 3 on both sides)
Using the value of x₁, in equation 1,
⇒ x₂ = 2(10) - 9
⇒ x₂ = 20 - 9
⇒ x₂ = 11
Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.
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Answer:
i need points
Step-by-step explanation:
P r o p o r t i o n s
3:4 = 7
3/198 = 7/x
solve for x using cross multiplying
3/198 = 7/x
198(7) = 3x
1386 = 3x
/3 /3
462 = x
Therefore, there are 462 workers.
Proof:
3/198 = 4/x
198(4) = 3x
792 = 3x
/3 /3
264 = x
264 + 198 = 462.
264 / 4 = 66
198 / 3 = 66
462 / 7 = 66