Write (5.64)×10^-7 as a decimal

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.

Cargo A:

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

Cargo B:

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.

b. 50a+10b<1000; 200a+360b < 7200; a> 0; b>0

3 0

3 years ago

What is the frequency of the graph of y = 1/3 sin(2x)?

vovangra [49]

Given:

The sine function is:

$y=\dfrac{1}{3}\sin (2x)$

To find:

The frequency of the graph of given function.

Solution:

If a sine function is defined as:

$y=A\sin(Bx+C)+D$

Then, the frequency of the sine function is:

$f=\dfrac{B}{2\pi}$

We have,

$y=\dfrac{1}{3}\sin (2x)$

Here, $B=2$ . So, the frequency of the given function is:

$f=\dfrac{2}{2\pi}$

$f=\dfrac{1}{\pi}$

Therefore, the correct option is D.

3 0

2 years ago

The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in sever

AlekseyPX

Answer:

Um so idk the process but yes it can be found :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

He short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches

goldenfox [79]

The sum of two adjacent sides is 11 inches, so the long sides are 9 inches. The "unknown number" must be 12.

7 0

3 years ago

1.How do you turn 34% into a fraction.

bearhunter [10]

For the first two, put it them over 100. So number 1 would be 34/100 or 17/50 reduced. Number 2 is 77.5/100 and since it is a decimal, I would keep it at over 100. Number 3 put 8/10 or 4/5 reduced and number 4 is different. Think of it as money and how a quarter is in relation to a dollar. You have 4 quarters in a dollar, so since you have .25%, it is 1/4.

5 0

3 years ago

Write (5.64)×10^-7 as a decimal​

Write (5.64)×10^-7 as a decimal