The height of a box is 7 inches. Its length is 6 inches more than its width. Find the length if the volume is 280cubic inches.

Answers

Answer 1
Answer: h = 7
l = w + 6
V = 280

V = lwh

Plug in what we know:

280 = (w + 6)(w)(7)

Distribute W into the first parenthesis:

280 = (w^2 + 6w)(7)

Distribute 7:

280 = 7w^2 + 42w


Divide 7 to both sides:

40 = w^2 + 6w

Subtract 40 to both sides:

w^2 + 6w - 40 = 0

Factor:

(w - 4)(w + 10) = 0

Therefore, w = 4.

Plug this back into the equation for the length:

l = w + 6

l = 4 + 6

l = 10
Answer 2
Answer: Volume=Length*Width*Height \n 280=(x+6)*x*7 \n 280=7x(x+6) \n 280=7x^(2)+42x \n 0=7x^(2)+42x-280 \n  0=7(x^(2)+6x-40) \n 0=7(x+10)(x-4) \n Since\ we\ can't\ have\ negative\ values,\ x=4 \n Width=4 \n Length=Width+6 \n Length=4+6 \n \boxed{Length=10}

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Use slope and y intercept to graph a line. y=2x-5

Answers

On your graph:

-- Mark a dot on the y-axis, at y = -5 .

-- From there, move 1 unit to the right and 2 units up and make a mark.  If this
is too tiny for you, then you can move 7 units to the right and 14 units up, or
11 units to the right and 22 units up ... any way you want to do it, as long as
the distance 'up' is double the distance to the right, because the slope is 2 to 1.
Wherever you wind up, mark a dot.

-- Using your pencil and your ruler, draw a straight line between the two dots you have
marked.  You may extend it as far as you wish in either or both directions.
m=2,b=-5 where m is the slope and b is the y-intercept

What is the result when 4x^2-17x+36 is subtracted from 2 x^2-5x+25?

Answers

2x^2-5x+25-(4x^2-17x+36)=\n 2x^2-5x+25-4x^2+17x-36=\n -2x^2+12x-11
2x^(2) - 5x + 25 - (4 x^(2) - 17x + 36) = 2x^(2) - 5x + 25 -4 x^(2) +17x -36 = (2-4) x^(2) + (-5+17)x + 25 - 36 = -2 x^(2) + 12x - 11

Similar to a rectangle with a length of 16 cm and width of 10 cm

Answers

Answer:

the correct answer 26 cm

Answer:

is 8/5 = 1.6

Step-by-step explanation:

you have to find the same result of the division of 16 / 10 = 1.6

Thank you if you choose to help

Answers

Answer:

24

Step-by-step explanation:

12 times 2 is 24

What is 100/45 in a mixed number

Answers

100/45 = 2.2222222

so it is

2 10/45 

Mr. Jack bought 150 T-shirts for $1920 from a factory. What is the amount Mr. Jack received after selling all the T-shirts?

Answers

Final answer:

We need to know about profit and loss in order to solve the problem. The cost of one shirt is $12.80, the amount of money Mrs. Jackson received after selling all t-shirts is $2,998.50, the total profit made is $1,078.50 and the profit percentage is 56.17%.

Explanation:

We know that Mrs. Jackson bought 150 t-shirts for $1920, we need to first find the cost of one t-shirt, we can do that by dividing the total cost by the number of t-shirts.

Cost of one = 1920 / 150 = $12.80

Next we need to find the total selling price of all the t-shirts given that each t-shirt is sold at $19.99

Total selling price = 150 × $19.99 = $2,998.50

The total profit made by Mrs. Jackson can be calculated by subtracting the cost price from the selling price.

Profit = $2,998.50 - $1,920 = $1,078.50

The profit percentage with respect to the cost price can be calculated as

Profit percentage = ($1,078.50 / $1,920) × 100 = 56.17%

Therefore, the cost of one shirt is $12.80, the amount of money Mrs. Jackson received after selling all t-shirts is $2,998.50, the total profit made is $1,078.50 and the profit percentage is 56.17%.

Read more about profit and loss at:

brainly.com/question/26666725

The question above was incomplete. Refer below for the entire question.

Mrs. Jackson bought 150 T-shirt for 1920 from a factory.

i) calculate the cost of one T-shirt

The T-shirt are sold at $19.99 each.

Calculate

ii) the amount of money Mrs. Jackson received after selling All of T-shirt.

iii) the TOTAL profit made

iv) the profit made as a percentage of the cost price, giving your answer correct to the nearest whole number.

Final answer:

The amount Mr. Jack received after selling all the T-shirts is $1920.

Explanation:

In order to find out the amount Mr. Jack received after selling all the T-shirts, we need to determine the selling price of each T-shirt. To do this, we divide the total amount Mr. Jack spent on the T-shirts ($1920) by the number of T-shirts he bought (150). The selling price per T-shirt is $12.80.

Now, to find the amount Mr. Jack received after selling all the T-shirts, we multiply the selling price per T-shirt ($12.80) by the number of T-shirts he bought (150). The amount Mr. Jack received after selling all the T-shirts is $1920.

Learn more about selling price here:

brainly.com/question/32846197

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