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Kay [80]
3 years ago
6

A company can manufacture x hundred items for a total cost of C=300+1200x-100x. Find x if the total cost is 3,000

Mathematics
1 answer:
Scilla [17]3 years ago
5 0
C=300+1200x-100x. Find x if the total cost is 3,000
3,000 = 300 + 1200x -100x
3000 = 300 + 1100x
2700 = 1100x
2700÷1100=x
x=27/11
x = 2 5/11 Round to 3
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If breadth of a cuboid is one-fourth of its length,height is 5cm and total surface area is 328 cm²,find the length and breadth o
velikii [3]

The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

<h3>How to find the Surface Area of Cuboid?</h3>

A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (L), Breadth (B), and Height (H) of the cuboid and use the formula, SA=2 x ( LB + BH + HL ) , to find the surface area.

Here, We have given that height of the cuboid is 5cm.

Let length of the cuboid = X cm

so, the breadth of the cuboid = \frac{X}{4} cm

also, we have given that total surface area is 328 cm²

Now, put all the values in the formula of Surface Area (SA):

SA = 2 x ( LB + BH + HL )

SA = 2 x ( X²/4 + 5X/4 + 5X )

SA = 2 x ( ( X² + 5X + 20X) / 4 )

SA = ( X² + 5X + 20X ) / 2

X² + 5X + 20X = 328 x 2

X² + 25X = 656

X² + 25X - 656 = 0

using Quadratic Formula: see the attached figure for the formula.

here Discriminant D = b² - 4ac

D = 625 - 4(-656)

D = 3249

on putting value of D or b² - 4ac in the formula we get

X =  ( -25 + 57 ) / 2 and ( -25 - 57 ) /2

length can not be negative so we eliminate the second answer.

now, X = 16 cm

breadth = X /4 = 4 cm

Hence, The length of cuboid is 16 cm and breadth of cuboid is 4 cm.

Learn more about " Quadratic Formula " from here: brainly.com/question/2615966

#SPJ9

3 0
2 years ago
Pls help me I give pick BRAINLIEST!!
mariarad [96]

Answer:

24

Step-by-step explanation:

56/7=8

8x3=24

6 0
2 years ago
Part 2 to that question answer right pls
Marta_Voda [28]

Answer:

1. decreases

2. 31.50

Step-by-step explanation:

It decreases because there's a negative sign.

It's 31.50 because 10.50 * 3 = 31.50

4 0
3 years ago
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What is the first term of the quotation of the following division problem?
sveticcg [70]

Answer:

I believe it's D.

Step-by-step explanation:

x^2 times x

Hope This Helps!       Have A Nice Day!!

5 0
3 years ago
Write 740% as a decimal and as a mixed number.
Kitty [74]

740% written as a decimal is 7.4 as a mixed number it would be 7 4/10 or simplified it would be 7 2/5

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