Which expression is equivalent to 30x - 12y

Mathematics

2 answers:

pickupchik [31]2 years ago

4 0

6(5x - 2y) is the correct answer / third answer

wariber [46]2 years ago

3 0

Answer:

B) 6(5x -2y)

Step-by-step explanation:

When we have a number outside the parenthesis, we can distribute this number to all the terms inside the parenthesis. Since our given expression is 30x -12y, we are looking for an expression that when expanded results in these two numbers.

Only option B provides both 30x and -12y, as seen as 6 times 5x= 30x and 6 times -2y = -12y.

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What is the length of the hypotenuse of a right triangle with legs of 50 ft. and 120 ft. ?

MrMuchimi

Answer: 130 ft

Step-by-step explanation:

a^2 + b^2 = c^2

Where a and b are the legs that form the right angle and c is the hypotenuse (the side directly opposite of the right angle)

50^2 + 120^2 = c ^2

2,500 + 14,400 = c^2

16,900 = c^2

Take the square root of 16,900 to get c.

C = 130

Hypotenuse length is 130

6 0

3 years ago

a rectangular block is such that the sides of its base are of the length x cm and 3x cm. The sum of all the lengths of all its e

Xelga [282]

Answer:

15x^2 - 12x^3

Step-by-step explanation:

A rectangular block has 3 parts that play into its volume. length, width and height. The question gives us length and width in the form of x and 3x, so height is what's missing.

It gives us a bit more information saying the sum of its edges is 20. We also have to ask how many lengths, widths and heights are there. That may be a bit hard to understand, but is you are looking at a block I could ask how many edges are vertical, just going up and down. These would be the heights. There are 4 total, and this goes the same for length and width, so 4*length + 4*width and 4*height = 20.

Taking that and plugging in x for length and 3x for width (or you could do it the other way around, it doesn't matter, you get:

4*x + 4*3x + 4*height = 20

4x + 12x + 4h = 20

16x + 4h = 20

4h = 20 - 16x

h = 5 - 4x

Now we have h in terms of x, which lets us easily find the volume just knowing x. To find the volume of a rectangular block you just multiply the length, width and height.

x*3x*(5-4x)

3x^2(5-4x)

15x^2 - 12x^3

Question doesn't give a specific value for x at all so you should be done there. Any number you plug in for x should get you the right answer

5 0

3 years ago

Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87 +2 54 )− 21

lora16 [44]

Answer:

$12\dfrac{7}{40}$