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Vinil7 [7]
3 years ago
8

what is the length of a tractor trailer if the volume of the trailer is 2000 cubic feet, the width is 7 feet 6 inches and the he

ight is 9 feet 6 inches
Mathematics
1 answer:
abruzzese [7]3 years ago
4 0
To begin, make sure all measurements are expressed in the same units:

7 feet 6 inches = 7.5 feet
9 feet 6 inches = 9.5 feet

Next, recall the formula for volume:

V = L * W * H

Volume is length times width times height.  Plug in the values you know and solve for the length:

2000 = L * 7.5 * 9.5
2000 = L * 71.25
L = 2000 ÷ 71.25
L ≈ <span>28.07
</span>
Rounded to the nearest whole number, the length of the tractor trailer is 28 feet.
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11 more than y is equal to 7
fomenos

We first have to come up with an equation that satisfies this. The equation is y+11=7.

Then we subtract 11 from both sides. y+11-11=7-11.

Then we get the answer y=-4.


7 0
3 years ago
-5 2/3 + 3 1/4 + -7 1/3
alexgriva [62]
-9.5

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7 0
2 years ago
Which system of linear inequalities is represented by the graph?  ax – 3y &gt; 6 and y &gt; 2x + 4 bx + 3y &gt; 6 and y &gt; 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
Read 2 more answers
1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2
erik [133]
This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

 (2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer
 


5 0
3 years ago
If an endpoint is included—shown by a closed dot, such as in the graph to the right—use = instead of ≤ or ≥ to indicate the numb
kodGreya [7K]

Answer:

<4

Step-by-step explanation:

Look it up

8 0
3 years ago
Read 2 more answers
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