Keith has 40-pound bags of mulch in his truck that weigh a total of 3600 pounds. His Owner’s Manual lists the truck’s capacity a
1 answer:
Answer:
Keith must remove 90-75 = 15 bags in order to meet the weight requirements
Step-by-step explanation:
This problem can be solved by consecutive rules of three problem.
Rule of three problem:
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.
In this problem, the measures are:
- The number of bags
- The total weight
As the number of bags increases, so do the total weight. So, the relationship between the measures is direct.
To know how many bags does Keith need to remove in order to meet the weight requirements, we first need to know how many bags are in the truck currently.
The problem states that each bag weighs 40 pounds and the weight of the truck is 3600 pounds, so:
1 bag - 40 pounds
x bags - 3600 pounds
40x = 3600
x = 90.
Keith currently has 90 bags in the truck.
Now, we have to know how much bags he can have in the truck, that is, 3000 pounds worth of bags. So:
1 bag - 40 pounds
x bags - 3000 pounds
40x = 3000
x = 75.
The truck's capacity is at most 75 bags.
So, Keith must remove 90-75 = 15 bags in order to meet the weight requirements
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Answer:
32, 37, 42, 47, 52, 57, 62.
Step-by-step explanation:
It is given that Carissa counts by 5s from 32 to 62.
It means, we have to add 5 in the number to get the next number.
Add 5 in 32.
Now, add 5 in 37.
Similarly, continue the process.
Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.
We have to write an equation that uses this info so we can find the cost to ship that package. However, the package weight is given to us in grams and we need it in ounces. So first thing we are going to do is convert that 224 g to ounces. Use the fact that 1 g = .035274 ounces to convert. . Do the multiplication and cancel out the label of grams and we have 7.901376 ounces. Ok. We know that it costs .57 to mail the package for the first ounce. We have almost 8 ounces. So no matter what, we are paying .57. For each additional ounce we are paying .32. The number of .32's we have to spend depends upon how much the package goes over the first ounce. For the first ounce we pay .57, then for the remaining 6.901376 ounces we pay .32 per ounce. Our equation looks like this: C(x) = .32(6.901376) + .57 and we need to solve for the cost, C(x). Doing the multiplication we find that it would cost $2.78 to ship that package.