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4 years ago

Solve for x: x + 15 = 45 Question 1 options: 30 60 -60 -30

Mathematics

1 answer:

brilliants [131]4 years ago

6 0

<u><em>Answer: A. 30. x=30/ 30=x *The answer should be the positive sign.*</em></u>

Step-by-step explanation:

subtraction property of equality is subtracting the same number from both sides of an equation does not change the equation.

a-c=b-c

addition property of equality is adding the same number to both sides of an equation does not change the equation.

a+c=b+c

subtract by 15 both sides of an equation.

x+15-15=45-15

simplify.

45-15=30

30+15=45

45-30=15

x=30 and 30=x

Hope this helps!

Thanks!

Have a great day!

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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

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3 years ago

Which is the graph of the linear equation y= -1/4 x + 3?

Lesechka [4]

We know that -1/4x means we have a negative slope, which excludes the 1st graph from our answer choices.
Second, we know that the y-intercept has to be 3, excluding the second and third graph.
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4 years ago

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sesenic [268]

Get a common denominator.

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Answer:

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