Answer:
1. <u>$14.88</u>
2. <u>$12.40</u>
Step-by-step explanation:
An english translation:
<em>A company transports office cabinets to a location 425km away. Its cost is R $ 2.10 per km traveled. When the cabinets are assembled, the vehicle's capacity is 60 units. When they are disassembled the capacity increases 6 times. We ask: 1- What is the cost per assembled cabinet? 2- What is the savings per cabinet, when these are taken apart.</em>
<em />
<u>Solution:</u>
425 km with 2.10 per km means:
425 * 2.10 = $892.50 total cost
Now, when assembled, there goes 60 cabinets, so cost per assembled cabinet is:
<u>Cost per assembled cabinet = 892.5/60 = $14.875 = $14.88</u>
<u></u>
The capacity of 60 after disembling, it becomes:
60 * 6 = 360
So, cost per cabinet becomes:
892.5/360 = <u>$2.48</u>
The savings is how much you save up if they were assembled:
14.88 - 2.48 = <u>$12.40</u>
<u>Savings = $12.40</u>
Write and solve an inequality:
Total(t) = $5.42 + ($1.08/therm)(t) ≤ $87.50.
First, subtract $5.42 from $87.50: then ($1.08/therm)(t) ≤ $82.08
Next, divide both sides by $1.08 per therm:
t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum). Thus, Rameen's usage could be [0,76] (therms).
One person recieves 1. Second person receives 2. Third person receives 3. The amount of cards left over is 94. So the fourth person receives the highest amount possible with everyone in positive numbers of cards.
multiply the price by the discount then subtract the answer from the price
4 * 0.20 = 0.80
4-0.80 = 3.20
sale price is $3.20
Answer:
Step-by-step explanation:
A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1
A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25
Let x represent the number of dimes that Jayden has.
Let y represent the number of quarters that Jayden has.
Jayden has some dimes and some quarters. He has at most 25 coins. It means that
x + y ≤ 25
The coins worth at least $4.60 combined. It means that
0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1
If Jayden has 7 dimes, then
7 + y ≤ 25
y ≤ 25 - 7
y ≤ 18
Substituting x = 7 into equation 1, it becomes
0.1 × 7 + 0.25y ≥ 4.6
0.7 + 0.25y ≥ 4.6
0.25y ≥ 4.6 - 0.7
0.25y ≥ 3.9
y ≥ 3.9/0.25
y ≥ 15.6
All possible values for the number of quarters that he could have would be
15.6 ≤ y ≤ 18