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4 years ago

write and solve an equation to find the width of the box if it's volume is 96 cubic centimeters. then find its surface area

1 answer:

8 0

There's not enough given information in the question to calculate an answer.

If we only know that the volume of the box is 96 cm³, then there are an infinite
number of different lengths, widths, and surface areas that it could have.

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Math lovers i need your help

alisha [4.7K]

Part (i)

Compute the slope of the line through the two points (0,0) and (4,8)

m = (y2 - y1)/(x2 - x1)

m = (8-0)/(4-0)

m = 8/4

m = 2

The slope of this line is 2, so,

<h3>velocity = 2 m/s</h3>

==============================================

Part (ii)

The two points we're working with are (4,8) and (6,8). The slope is...

m = (y2 - y1)/(x2 - x1)

m = (8-8)/(6-4)

m = 0/2

m = 0

Horizontal lines always have a slope of 0 to indicate no change in height.

<h3>The velocity is 0 m/s.</h3>

==============================================

Part (iii)

Same idea as the previous parts. The endpoints are (6,8) and (9,14)

m = (y2 - y1)/(x2 - x1)

m = (14-8)/(9-6)

m = 6/3

m = 2

This piece also has slope 2. This piece is parallel to the first piece. Parallel lines have equal slopes but different y intercepts.

<h3>velocity = 2 m/s</h3>

==============================================

Part (iv)

(a) The average velocity from 0 to 4 seconds is the exact same as the velocity we computed earlier in part (i). The answer is 2 m/s
(b) We travel 8 meters in 6 seconds, so the average velocity is 8/6 = 4/3 = 1.33 m/s approximately. You can use the slope formula for the endpoints (0,0) and (6,8) to get the same result.
(c) The average velocity is 14/9 = 1.56 m/s approximately because we travel 14 meters in 9 seconds. You can use the slope formula for the endpoints (0,0) and (9,14).

As you can see, with average velocity, all we care about are the starting and ending points. We aren't concerned at all with what happens in between.

Comparing the results for part (i) and part (iv)(b), we see that the velocity has gone down. This is due to the flat portion in which you aren't moving.

4 0

3 years ago

14 ) Mark Achin sells 3,600 electric motors each year . The cost of these is $ 200 each , and demand is constant throughout the

ANTONII [103]

Mark Achin's economic order quantity in units is <u>D. 120 units</u>.

<h3>What is economic order quantity?</h3>

The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).

The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.

<h3>Data and Calculations:</h3>

Annual demand = 3,600

Cost price per unit = $200

Ordering cost = $40

Holding cost per unit = $20

Working days per year = 360

Lead time = 5 days

Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.

= square root of (2 x $40 x 3,600)/$20

= 120

Thus, Mark Achin's economic order quantity in units is <u>D. 120 units</u>.

Learn more about the economic order quantity at brainly.com/question/13386271

#SPJ1

3 0

2 years ago

8.) Write an inequality that can be used to represent this situation, where x represents Olivia’s sister’s age. (Short answer)

Bumek [7]

Answer:

The oldest age of Olivia’s sister can be 11 years.

Step-by-step explanation:

Given: Olivia’s sister’s age is x years.

To write: inequality that can be used to represent the given situation.

As Olivia is 6 years older than her sister,

Olivia's age $=x+6$

As the sum of their ages is no more than 28 years,

$x+(x+6)\leq 28\\2x+6\leq 28\\2x\leq 28-6\\2x\leq 22\\x\leq \frac{22}{2}\\ x\leq 11$

So, the oldest age of Olivia’s sister can be 11 years.

5 0

4 years ago

2/7+2/5=answernin simplest form

MrRa [10]

Answer:24/34

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

Jesus earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. Write and evaluate an exp

Lana71 [14]

The final score in the video game is 67.

Step-by-step explanation:

Points earned = 50 points, 87 points

Points lost = 40 points, 30 points

Let,

Plus sign (+) represent the points earned.

Negative sign (-) represent the points lost.

Therefore,

Points earned = +50, +70

Points lost = -40, -30

Adding all the points to get final score;

Final score = 50+(-40)+87+(-30)

$Final\ score=50-40+87-30\\Final\ score = 137-70\\Final\ score=67$

The final score in the video game is 67.

Keywords: integers, subtraction

Learn more about subtraction at:

#LearnwithBrainly

8 0

3 years ago