Which equation can be used to solve for x?

Your engineering firm is asked to specify the maximum load for the elevators in a new building: Each elevator has mass 490 kg wh

steposvetlana [31]

Answer:

a) m =589.734kg

b) n = 8 people (rounded down)

Step-by-step explanation:

The first step is to calculate the maximum load after safety considerations ( $T_{max}$

Since we know that the maximum tension the cables can withstand is 19500N (or 19.5kN). To calculate ( $T_{max}$ we multiply this value by $\frac{2}{3}$ (as per the given safety consideration.

Hence

$T_{max} = \frac{2}{3} (19500) \\ T_{max} = 13000N$

a) Now to find the maximum load in kgs, we use the following formula

$(m_{0} + m)(g + a) = T_{max}$

Where

$m_{0}$ = mass of elevator

$m$ = maximum load

$g$ = acceleration due to gravity

$a$ = maximum acceleration of elevator

Inputting the values and solving

$m_{0} + m)(g + a) = T_{max}\\ (490 + m)(9.8 + 2.24) = 13000\\ 12.04m = 7100.4\\ m = 589.734kg$

Hence the maximum load is m =589.734kg

b) To find the number of people (n) we divide the value of m by 70kg

n = 589.734 / 70

n = 8.42 or 8 people

7 0

3 years ago

Determine whether the equation represents direct, inverse, joint, or combined variation.

Dominik [7]

Answer: The retort to the peculiar proposed interrogate is definitively identified as ‘Joint Variation’, interchangeably acknowledged as ‘Combined Variation’.

Step-by-Step Explanation:

Given the mathematical statement,
Y = 4x^3z^3

Such coherently demonstrates the principle of a foreign variable, ‘y’, which whom varies directly as the product of at least two distinct or distinguishable quantities occur.

The mentioned is the precise definition of Joint Variation, where ‘y’ is jointly proportional to the product of the minimum agglomerate of two quantities, whilst a presence of a nonzero constant, k.

*I hope this helps.

5 0

3 years ago

7 − 9x − (x + 12) less than or equal to 25?

Nonamiya [84]

Answer:

x ≥-3

Step-by-step explanation:

7 − 9x − (x + 12) less than or equal to 25

7 − 9x − (x + 12) ≤ 25

Distribute the minus sign

7 − 9x − x - 12 ≤ 25

Combine like terms

− 10x −5 ≤ 25

Add 5 to each side

− 10x −5+5 ≤ 25+5

− 10x ≤ 30

Divide by -10. Remember that this flips the inequality

− 10x/-10 ≥30/-10

x ≥-3

6 0

3 years ago

there is 12 females that play basketball there are 240 females in the school how many play basketball

Romashka [77]

I believe looking at a weird perspective the answer would be 12 females. :)

4 0

3 years ago

What is four and half minus two three fourths?

Lady bird [3.3K]

Answer:

$1\frac{3}{4}$

Step-by-step explanation:

$4\frac{1}{2} -2\frac{3}{4}$

The way you want to do this is to make all the numbers into a fraction. You do that by multiplying the whole number by the denominator, or the bottom of the fraction, then adding that to the numerator, or the top of the fraction.

So, $4\frac{1}{2}$ becomes $\frac{9}{2}$ , and $2\frac{3}{4}$ becomes $\frac{11}{4}$ .

Then, you find the least common denominator. The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. In our case, that would be 4, since 2 can multiply into 4.

So, $\frac{9}{2}$ is multiplied by 2, and becomes $\frac{18}{4}$ . $\frac{11}{4}$ stays the same.

And finally, you subtract. When subtracting or adding fractions, you leave the denominator alone, and only work with the top number.

So, $\frac{18}{4}-\frac{11}{4}$ , which equals $\frac{7}{4}$ .

Now, you could technically stop there. However, most teachers ask that you put it back into whole number form. To do that, divide the numerator by the denominator, and whatever remains goes back into the fraction.

So, $\frac{7}{4}=1\frac{3}{4}$

That's your answer! Hope this helps.

8 0

3 years ago