In the formula A = 1/2 bh, solve for b when A = 416 and h = 32.
1 answer:
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Answer:
The correct answer is option b)
50a+10b<1000; 200a+360b < 7200; a> 0; b>0
Step-by-step explanation:
We are given that Two kind of crated cargo namely A and B to be shipped by truck.
<u>Cargo A:</u>
Volume of each crate of cargo A = 50 cubic ft
Weight of each crate of cargo A = 200 pounds
Let number of crates of cargo A to be shipped = a
Total volume of 'a' crates of cargo A = 50a cubic ft
Total weight of 'a' crates of cargo A = 200a pounds
<u>Cargo B:</u>
Volume of each crate of cargo B = 10 cubic ft
Weight of each crate of cargo B = 360 pounds
Let number of crates of cargo B to be shipped = b
Total volume of 'b' crates of cargo B = 10b cubic ft
Total weight of 'b' crates of cargo B = 360b
Total volume allowed in the truck is 1000 cubic ft
Total volume of 'a' crates of Cargo A and Total volume of 'b' crates of Cargo B = 50a+10b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)
So, the inequality becomes
....... (1)
Total weight allowed (load limit) in the truck is 7200 pounds
Total weight of 'a' crates of Cargo A and Total weight of 'b' crates of Cargo B = 200a+360b cubic ft (This sum should be less than volume of truck so that it can fit in the truck)
So, the inequality becomes
....... (1)
And number of crates of cargo A and B are always a positive number.
So, a > 0 and b > 0.
So, the correct answer is option b.
<em>b. 50a+10b<1000; 200a+360b < 7200; a> 0; b>0</em>
Answer:
a) 179 people shopped at the grocery store or the drug store.
b) 21 people shopped at neither the grocery store nor the drug store
Step-by-step explanation:
I am going to treat these events as Venn sets.
I am going to say that:
Set A: Shopped at the grocery store
Set B: Shoped at the drug store.
121 shopped at the grocery store:
This means that
91 shopped at the drug store:
This means that
33 shopped at both businesses.
This means that
a) How many people shopped at the grocery store or the drug store?
This is
With the values given in the exercise.
179 people shopped at the grocery store or the drug store.
b) How many people shopped at neither the grocery store nor the drug store?
179 of 200 shopped in at least one. So 200 - 179 = 21 shopped at neither.
21 people shopped at neither the grocery store nor the drug store