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Nitella [24]
3 years ago
8

2. At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0

Answer:

the price of the novel : $10.25

The price of the math book : $43.75

Step-by-step explanation:

Let M represent math book and N novel

the price of the math textbook, is $8 more than 3 times the price of the novel.

M + N = $54 and M = 3N + 8

we can write 3N + 8 instead of M

N + 3N + 8 = $54 add the like terms

4N = $46

N = $10.25 this is the price of the novel and the price of the math book is $54 - $10.25 = $43.75

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45x^2-328x+124

Step-by-step explanation:

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Two kinds of crated cargo, A and B, are to be shipped by truck. Each crate of cargo A is 50 cubic feet in volume and weighs 200
BlackZzzverrR [31]

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

50a+10b ....... (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

200a+360b ....... (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>

3 0
3 years ago
The principal of a middle school claims that test scores of the seventh-graders at his school vary less than the test scores of
AveGali [126]

Answer:

There is sufficient evidence to support the claim that the standard deviation is less than 14.7.

Step-by-step explanation:

From the question we are told that that the null hypothesis is

       H_o  :  \sigma < 14.7

Now given from the question that this null hypothesis was rejected, it mean, in non technical term that there is sufficient evidence to support the claim that the standard deviation is less than 14.7.

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Katena32 [7]
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