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cluponka [151]
3 years ago
8

The width of a rectangular box is 4 times its length, and its height is 6in more than its length. The volume of the box is 102in

3. Use the ALEKS graphing calculator to find the length of the box. Round your answer to two decimal places.
Mathematics
1 answer:
Trava [24]3 years ago
4 0

Answer:

Length of the box, l = 1.80 inches

Step-by-step explanation:

Let length of the rectangular box is l

Width of the box is 4 times of its length, b = 4 l

Its height is 6 inch more than its length.

Height, h = (6 + l) inch

Volume of the box, V=102\ in^3

The volume of a box is given by :

V=l\times b\times h

102=l\times 4l\times (6+l)

4l^3+24l^2-102=0

On solving the above equation using online calculator we get,

l = 1.80 inch

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If the whole number multiples of 36 that are both more than 36 and less than 36 squared, how many are squares of whole numbers?
seraphim [82]

This is different than the usual questions we get.


We're given a set of some multiples of 36:


\{ 2\times 36, 3 \times 36, 4 \times 36, ..., 35 \times 36 \}


We're asked how many of those are perfect squares.


36 is of course already a perfect square, so for the product to be a perfect square the other factor must be as well. So this is equivalent to:


How many perfect squares are there between 2 and 35?


Just listing them, there's 2^2, 3^2, 4^2 \textrm{ and } 5^2


Answer: 4 squares



4 0
4 years ago
Read 2 more answers
Find the product using suitable properties a, 38 × 55 + (-45) ×38​
RideAnS [48]

Answer:

= 380

Step-by-step explanation:

(38*55) + (-45*38)

(2090) + (-1710)

2090 - 1710

= 380

8 0
3 years ago
Read 2 more answers
PLZ I NEED HELP BUT PLZ EXPLAIN WHEN YOU ANSWER
Natalija [7]

Answer:

Step-by-step explanation:

Let's convert this statement into a system of two equations

3 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $11

4 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $10

cost of a liter of milk = x

cost of a loaf of bread = y

3x + 5y = 11

4x + 4y = 10

You can now solve this using either substitution or elimination

I'll use elimination. Let's say I want to get rid of the x first. I need to choose numbers to multiply by the top and bottom equations to eliminat the x's. The easiest way to do this is to multiply them by each other. So we'll multiply the top by 4 and the bottom by 3. We'll need to make sure the signs are opposite as well so I'll make that a negative 3 on the bottom.

4 * (3x + 5y = 11)

-3 * (4x + 4y = 10)

12x + 20y = 44

-12x - 12y = -30

Now add straight down

0x + 8y = 14

8y = 14

y = 14/8 = $1.75

Now we can plug this back in to either equation  to find the x. I'll choose the second equation

4x + 4*(1.75) = 10

4x + 7 = 10

4x = 3

x = 3/4 = $0.75

So, cost of a liter of milk = x = $0.75

and cost of a loaf of bread = y = $1.75

3 0
3 years ago
Read 2 more answers
-2 - (-8) + 4 - (-7) / 3.5​
balandron [24]

Hey!

-----------------------------------------------

Solution:

Remember to follow PEMDAS.

= -2 - (-8) + 4 - (-7) / 3.5

= -2 - (-8) + 4 - (-2)

= 6 + 4 - (-2)

= 10 - (-2)

= 12

-----------------------------------------------

Answer:

12

-----------------------------------------------

Hope This Helped! Good Luck!

3 0
3 years ago
Read 2 more answers
Can someone help me on this?
Anna [14]
The answer would be B
5 0
4 years ago
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