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2 years ago

-8-x=x-4x Solving equations with variables on both sides

Mathematics

2 answers:

Trava [24]2 years ago

8 0

Answer: x=4

Step-by-step explanation:

-8-x=x-4x

-8-x=-3x

-8=-2x

x=4

Wittaler [7]2 years ago

3 0

Answer: x=4

Step-by-step explanation:

$-8-x=x-4x\\\\-8-x=-3x\\\\-8-x+x=-3x+x\\\\-8=-2x\\\\$

Divide both parts of the equation by -2:

$4=x$

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Refer to the data set of body temperatures in degrees Fahrenheit given in the accompanying table and use software or a calculato

melisa1 [442]

The are all in the 90s

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2 years ago

Find the area of the trapezoid. If the answer is not an integer, leave it in simplest radical form. The figure is not to scale

natali 33 [55]

Answer:

150 ft²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

Where,

a = 24 ft

b = 24 + 12 = 36 ft

h = √(13² - 12²) = √25 = 5 ft (pythagorean theorem was applied here)

Plug in the values

Area of trapezoid = ½(24 + 36)*5

= ½(60)*5

Area of trapezoid = 150 ft²

7 0

3 years ago

Before a bag of flour can be sold, it must be 40 kilograms but can be within 0.5

Serjik [45]

Answer:

The minimum acceptable weight of the flour bag is 39.5 kg,

and its maximum acceptable weight is 40.5 kg

Step-by-step explanation:

Notice that the selling weight of the bag to be sold (x) needs to differ from 40 kg at most 0.5 kg. Therefore, we can write the following inequality:

$|x-40|\leq 0.5$

The inequality can be solve once we remove the absolute value symbol, and solve for the unknown "x". Recall that in order to solve it, we need to consider the two possible cases:

a) that the expression within the absolute value symbol is larger than or equal to zero, and b) that the expression is less than zero.

a) If $x-40\geq 0$ then its absolute value is equal to itself (x-40), and when we remove the absolute value symbols, we get:

$x-40\leq 0.5\\x\leq 0.5+40\\x\leq 40.5\,\,kg$

which means that the weigh "x" of the flour bag should be smaller or equal than 40.5 kg

b) If $x-40$ , then the absolute value of this is its opposite : -x+40, and the inequality becomes:

$-x+40\leq 0.5\\40\leq 0.5+x\\40-0.5\leq x\\39.5\leq x$

which means that the weight of the flour bag must be larger than or equal to 39.5 kg

So, the minimum acceptable weight of the flour bag is 39.5 kg, and the maximum acceptable weight is 40.5 kg

6 0

3 years ago

A student filled a right rectangular prism shaped box with one inch cubes to find the volume in cubic inches the students work i

den301095 [7]

The volume of the right rectangular prism is the amount of cubes in it

The formula to determine the volume of the right rectangular prism is V(n) = n

<h3>How to determine the volume?</h3>

The question is incomplete; as the figure is not given.

So, I will provide a general solution

The volume of a one inch cube is:

$V = 1^3$

$V = 1$

Assume the number of one inch cubes used to fill the right rectangular prism is n.

Then the volume of the right rectangular prism would be:

$V(n) = n * 1$

This gives

$V(n) = n$

Hence, the general formula to determine the volume of the right rectangular prism is V(n) = n