BEST GETS BRAINLEST.A construction engineer needs to make 25 square concrete slabs with sides of length x feet and a height x - 3 feet. If the engineer can use at most 350,000ft^3 of concrete, what should the dimensions of each slab be, to the nearest foot?

a. Write an expression for the volume of all the slabs

b. What should x equal, to the nearest foot?

Answers

Answer 1
Answer:

Answer:

x ≈ 118 ft

Step-by-step explanation:

To get an expression for the volume of all slabs, we can use the formula of volume of cuboid 'V', which is equal to the product of its length 'x', breadth 'x' and height 'x-3' i.e.

V = x.x.(x-3)

For 25 slabs,

V = 25x.x.(x-3)

Since, V cannot be more than 350,000 ft^(3), therefore,

350000 = 25x^(2) (x-3)

which can be written as:

either:

350000 = 25x^(2)

x = \sqrt{ (350000)/(25)

x ≈ 118 ft

or:

x - 3 = 350000

x = 350003

which is not possible.

Hence x should be 118 ft

Answer 2
Answer: We know that the given side lengths are x and the height is x. 

Therefore, the area of the base = 
 A = x * x 

Formula =\ \textgreater \ volume = length*width*height

To \ find \ the \ volume \ of \ 1 \ slab, \ multiply \ by \ the \ height x -3 

= x*x*(x-3) 

Volume \ of \ 25 \ slabs = 25*x^2*(x-3)=350000 

350,000/25 = 14,000

x^3 - 3x^2 - 14000

= 25.14

Rounded => x=25



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ax^2+bx+c=0\n\nx^2+7x+9=3\qquad|\text{subtract 3 from both sides}\n\nx^2+7x+9-3=3-3\n\n\boxed{x^2+7x+6=0\to A.}

a=1,\ b=7,\ c=6

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If f(x) = 1x1 + 9 and g(x) = -6, which describes the value of (f + g)(x)?(f + g)(x) > 3 for all values of x
(f + g)(x) < 3 for all values of x
(f + g)(x) < 6 for all values of x
(f + g)(x) 6 for all values of x
Save and Exit
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Mark this and return

Answers

Answer:

The answers are "(f+g)(x)> 3 for all values of x" and "(f+g)(x)<6 for all values of x".

Step-by-step explanation:

  • If f(x) = 1x1 + 9 =10, then f(x) is a constant for every value of x, which means that y=f(x) will take the value of 10 no matter which value takes x.
  • If g(x)= -6, then  g(x) is a constant for every value of x, which means that it will take the value of -6 no matter the value of x.
  • (f+g)(x)=10 + (-6) = 10 - 6= 4. Then, no matter the value of x, the function (f+g)(x) will equal 4 (a constant).
  • According to the available options, both "(f+g)(x)>3" and "(f+g)(x)<6" are true, because (f+g)(x)=4>3 and (f+g)(x)=4 <6.

What is the value of x in this proportion?

Answers

Answer:

x=6

Solution,

(4)/(x)  =   (6)/(9  )  \n or \: 6 * x = 4 * 9(cross \: multiplication) \n or \: 6x = 36 \n or \: x =  (36)/(6)  \n x = 6

hopethishelps..

Goodluck on your assignment...

Answer:

X = 6

Step-by-step explanation:

Cross Multiplication

We can go about this 1 of 2 ways we can either cross multiply or divide across the numerators and denominators. Let's cross multiply. We would 4*9 = 6x. Which would simplify down to 36 = 6x. We would then divide the 6 on each sides of the equation to get 6 = X.

Dividing Across

The other way we can go about it is by seeing what 4 had to be multiplied by to get to 6. We do this by dividing 6 by for which gets us 3/2 or 1.5. Now that we know this we would then divide 9 by 3/2 or 1.5 to get the answer of 6.

What does 4 3/8+ 6 3/4 equal

Answers

Answer: 11.125

Step-by-step explanation:

Answer:

When adding fractions you want the denominators of your fractions to be alike.

The first thing you can do is add your two whole number 4 and 6. 4+6=10.

Now you want to combine your fractions, 3/8 and 3/4. Both fractions need to have like denominators. In order to do this we would change the 3/4 so it has a denominator of 8. I choose 8 because you can take 2*4 to get 8. Since we multiplied the denominator by 2, we have to do the same with the numerator, 3*2=6.

Your fraction is now 6/8.

We can down add 3/8 + 6/8= 9/8

Since 9/8 is improper we need to change it into a mixed number. In order to do this we need to take 9/8 which is 1 and 1/8

We now have 1 1/8 and don't forget the 10 from up above.

10+1 1/8= 11 1/8

Your final answer would be 11 1/8

Hope this helps ;)

What is 15/10000 simplified

Answers

Let's break the problem down: what is a common factor of both of these numbers? 5. So, what do you multiply by five to get these numbers? 3x5=15 and 5x2000 is 10000. so, like Emsarj said, it is 3/2000