Answer:he must save an average of $150 or more in each of the remaining 8 months.
Step-by-step explanation:
Mr. Helsley wishes to save at least $1500 in 12 months. If he saved $300 during the first 4 months, then the amount left would be
≥ 1500 - 300
Let x represent the least possible average amount that he must save in each of the remaining 8 months. This means that the total amount that he would save in the last 8 months would be 8x. Therefore,
300 + 8x ≥ 1500
8x ≥ 1500 - 300
8x ≥ 1200
x ≥1200/8
x ≥ 150
Answer:
Weight of Train A = 454 tons
Weight of Train B = 35 tons
Step-by-step explanation:
It is given that:
Let,
A represent weight of Train A
B represent weight of Train B
According to given information:
A + B = 489 Eqn 1
A - B = 419 Eqn 2
Adding Eqn 1 and 2
A + B + A - B = 489 + 419
2A = 908
Dividing both sides by 2

Putting A = 454 in Eqn 1
454 + B = 489
B = 489 - 454
B = 35
Therefore,
Weight of Train A = 454 tons
Weight of Train B = 35 tons
Answer:
x = 1 or x = -1
Step-by-step explanation:
Given equation:

Factor out -1:

Divide both sides by -1:

Rearrange the terms:



Factor the first two terms and the last two terms separately:

Factor out the common term
:

<u>Zero Product Property</u>: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).
Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

Therefore, the solutions to the given equation are: x = 1 or x = -1
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Answer:
= 37
Step-by-step explanation:
(8+4+3) + (6+5+11)
= 15 + 22
= 37
Answer: -80
Step-by-step explanation: