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Law Incorporation [45]
3 years ago
8

A pitcher of water is three-fourths full. Four cups of water are served from the pitcher. Then the pitcher is two-thirds full. H

ow many cups of water can the pitcher hold?
Mathematics
1 answer:
Contact [7]3 years ago
7 0
So hmmm let's say, the pitcher has "x" cups when full
so, it was (3/4)x then 4 cups came out, went down to (2/3)x

now, if we subtract (2/3)x from (3/4)x, their difference will be the 4cups that were served

thus   \bf \cfrac{3}{4}x-\cfrac{2}{3}x=4\implies \cfrac{3x}{4}-\cfrac{2x}{3}=4\implies \cfrac{3\cdot 3x-4\cdot 2x}{12}=4
\\\\\\
\cfrac{9x-8x}{12}=4\implies \cfrac{x}{12}=4

and surely, you'd already know what "x" is
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The vertices of triangle R'S'T' are R'(1, 3), S'(6, 4), and T'(4, 2). If triangle RST was dilated about the origin with a scale
sammy [17]

Answer:

R(1/3, 1), S(2, 4/3), T(4/3, 2/3)

Step-by-step explanation:

Dilation by a factor of 3 about the origin multiplies each coordinate by 3. To find what was multiplied by 3 to get the given coordinates, we divide the given coordinates by 3.

4 0
3 years ago
Read 2 more answers
Calculate the correct answer. <br>17x - 3 = 48​
Nadya [2.5K]

Answer: x = 3

Step-by-step explanation:

Simplifying

17x + -3 = 48

Reorder the terms:

-3 + 17x = 48

Solving

-3 + 17x = 48

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 17x = 48 + 3

Combine like terms: -3 + 3 = 0

0 + 17x = 48 + 3

17x = 48 + 3

Combine like terms: 48 + 3 = 51

17x = 51

Divide each side by '17'.

x = 3

Simplifying

x = 3

6 0
2 years ago
For the corporate headquarters, an executive wants to place a company logo that is six feet in diameter with the sides of the H
Mamont248 [21]
The answer is next to the hundred because step by step is that’s you have to round the height and feet together
6 0
3 years ago
HELP.... please??????????????
Nostrana [21]

Answers:

Functions

  • y = -x+11
  • y = 2x^2-6x+4
  • y = -7

Not functions

  • x = 3
  • x^2+y^2 = 81
  • y^2 = -5x-12

=======================================================

Explanation:

A function is possible if and only if any given x input leads to exactly one y output.

For something like x^2+y^2 = 81, we can see that x = 0 leads to either y = 9 or y = -9. So this would <u>not</u> be a function. We would need x to pair with only y value to have it be a function.

We have the same thing going on with y^2 = -5x-12 as well.

For anything of the form x = k, where k is any real number, this is also not a function. We have one single input only and it leads to infinitely many outputs. So in a sense, this is even worse compared to the other examples.

-----------------

In summary, we have these three non-functions:

  • x = 3
  • x^2+y^2 = 81
  • y^2 = -5x-12

Everything else is a function. You can use the vertical line test as a visual way to check.

8 0
3 years ago
Is 18 / 17 improper proper or mixed
Sonbull [250]

18/17 is improper fraction

1 1/17 is mixed

6 0
3 years ago
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