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Katen [24]
3 years ago
13

3. ms. Johnson placed two different orders with TR's special item store. each order was for 40 jars with the circus logo imprint

ed on each jar. store employees Jorge and SAM packed the jars into different boxes. Jorge packed the first 40 jars snugly into a rectangular box in rows of 4 jars each.the jars were not stacked on top of each other because in bot cases the jars were the same height as the boxes.the jars have a height of 6 inches and a diameter of 3 inches.
(a) What are the dimensions of each box in inches? show your work.
(b)Jorge and SAM bought packing foam to fill in the space between the jars and the box so that the jars will not move around. the packing foam comes in packets of 200 in^3. how many packets did each boy buy and how much packing foam did each boy need? use 3.14 for pi. round to the nearest hundredth if necessary explain your reasoning
Mathematics
1 answer:
denis23 [38]3 years ago
3 0
1.The height is 6 inches ad the width (diameter) is 3 inches!
2. So the jars are Volume ≈  42.41 inches so each boy needs 200 / 42.41 which equals approximately 4.72 inches per jar. So if wach boys have half the amount of jars which is 20 you multiply 20 by 4.72 which is 94.4 inches for each boy!
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PARK is a parallelogram. Find the value of x.
jekas [21]

Answer: 40

Step-by-step explanation:

8 0
3 years ago
3x + 2y = 5 5x + 2y = 7 Based on the given system of equations, which of the following is not true? 2x = 2 8x = 12 4y = 4
weqwewe [10]
<h3>Answer:</h3>

8x = 12

<h3>Explanation:</h3>

Subtracting the first equation from the second, you get ...

... (5x +2y) -(3x +2y) = (7) -(5)

... 2x = 2 . . . . . the first answer choice is true

___

Multiplying this expression for x by 4, we get

... 8x = 8 . . . . . the second answer choice (8x=12) is false

___

Adding thee first equation to the second, you get ...

... (3x +2y) +(5x +2y) = (5) +(7)

... 8x +4y = 12

... 8 + 4y = 12 . . . . . . use the value of 8x just computed

... 4y = 4 . . . . . . . . . . subtract 8; the third answer choice is true

_____

<em>Alternate approaches</em>

In short, if you solve the system by any of the methods available, you find x=1 and y=1, so the second answer choice is clearly the correct one:

... 8x ≠ 12

By Cramer's method:

... x = (2·7-2·5)/(2·5-2·3) = 4/4 = 1

... y = (5·5-7·3)/4 = 4/4 = 1

By graphing, see attached.

By substitution (for 2y):

... 5x +(5-3x) =7 . . . . . using 2y=5-3x

... 2x = 2 . . . . . . subtract 5

... x = 1 . . . . . . . .divide by 2

... 5 -3·1 = 2y = 2 . . . . substitute x into the expression for 2y

... y = 1 . . . . . . . divide by 2

By matrix methods, see the second attachment. (x, y) = (1, 1), found in the rightmost column of the result.

6 0
3 years ago
Can someone tell me if i got this right? its all i need
Alexxx [7]

Answer:

No, the answer is 120 plants per square foot

Step-by-step explanation:

What I did was first figure up the area of the triangle. You want to do this because the area will tell you how many square feet are in the garden. In order to find this, you need to use this formula: 1/2 b·h

Plug in the numbers like this: 1/2·15·8

15 is the base of the triangle, while 8 is the height of the triangle. Now solve your equation.

15·8=120

1/2·120=60

Area = 60

Now you know that the area is 60ft². So there are 60 square feet in the whole garden. But, we're not done yet. Jessica wants to put 2 plants in every 1 square foot. So now, we need to multiply 60 by 2 in order to get 2 plants in every 1 square foot.

60·2=120

Jessica can put 120 plants in the garden if she is wanting 2 plants per square foot.

I hope this makes sense and is easy to understand. Please let me know if you need any more help or clarification. I'm always happy to help! Have a great day and good luck!!

4 0
3 years ago
Emily is 46 years old. Colin is 11 years older than Emily. Dan is 5 years younger than Emily. What is the total of their combine
Nonamiya [84]

Answer:

144

Step-by-step explanation:

<u>Data:</u>

<em>Emily's age</em> : 46 years old

<u>Find Colin's age</u>

<em>Colin's age</em>: 11 years older than Emily

                    Emily's age + 11

                    46 + 11 = 57 years old

<u>Find Dan's age</u>

<em>Dan's age</em>: 5 years younger than Emily

                  Emily's age - 5

                  46 - 5 = 41 years old

<u>Find their combined ages</u>

<em>Combined ages</em>: Emily's age + Colin's age + Dan's age

<em>Combined ages </em>= 46 + 57 + 41

Total = 144

Therefore, the total of their combined ages is 144.

3 0
3 years ago
A restaurant owner wants feedback on the items on the menu, so she leaves a customer satisfaction survey on the tables for custo
Alekssandra [29.7K]

Answer:

O A) convenience sample

Step-by-step explanation:

O A) convenience sample

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