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Scilla [17]
3 years ago
11

Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-g

allon capacity?
Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer: 3 quart

Step-by-step explanation:

Given

Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket

1 gallon can be written as 4 quart

So, 2 gallon can be written as 8 quart

Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added

\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}

So, 3 quart of water must be added to reach 2 gallon capacity.

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In a parallelogram what can you say about the consecutive angle
Sav [38]

Answer:

Sum of two consecutive angle is always 180°

Step-by-step explanation:

In a parallelogram what we can you say about the consecutive angle is that they are supplementary to each other. By supplementary we mean that the sum of the two angles is always 180°

4 0
3 years ago
What is the acceleration of an object in air that has a velocity of Om/s?
pochemuha

Answer:

9.8m/s^2

Step-by-step explanation:

5 0
3 years ago
Write the slope-intercept form of the equation of each line.
gregori [183]

Greetings!

Answer:

2y = x - 6

Step-by-step explanation:

First, we must find the slope of the current equation.

This is the number in front of the x.

Seeing as this is -2x, the slope of this line is -2

When finding the slope of a line perpendicular, you need to find the \frac{-1}{slope}

So, in this case it is:

\frac{-1}{-2}

The negatives cancel out which leave \frac{1}{2}

So the gradient is \frac{1}{2}


Now, to find the equation of a line, you need to use:

y - y1 = m(x - x1)

Where ya and x1 are the values in the coordinates (2 , -2)

So y1  = -2, x1 = 2, and m is a half. Plug these values in:

y - - 2 = \frac{1}{2}(x - 2)

We need to get rid of the half so we multiply the whole equation by 2:

2y - - 4 = (x - 2)

The minus and the negative turn into a positive:

2y + 4 = x - 2

And now simply move the +4 over to the other side, making it a negative:

2y =  -2 - 4 + x

Simplify:

2y = x - 6

<h3>So the equation of the line is 2y = x - 6</h3>
<h2>Hope this helps!</h2>
5 0
3 years ago
Helpppp plsssss!!thanks
DedPeter [7]
A
2x - 6 - (3x + 9)
5 0
3 years ago
The functions below represent the amounts of water released from two reservoirs over x weeks:
solong [7]

Answer:

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week

Step-by-step explanation:

<u>Given</u>:

  f(x) = x^2 -7x +5

  g(x) = 3x^2 -6x +2

  h(x) = f(x) -g(x)

<u>Find</u>:

  h(x)

  h(1)

<u>Solution</u>:

The expression for h(x) is found by evaluating its definition:

  h(x) = (x^2 -7x +5) -(3x^2 -6x +2)

  h(x) = x^2(1 -3) +x(-7 -(-6)) +(5 -2)

  h(x) = -2x^2 -x +3

Then h(1) is found by substituting 1 for x:

  h(1) = -2(1^2) -(1) +3 = -2 -1 +3

  h(1) = 0 . . . . difference in release amounts after 1 week is 0

The true statements are ...

  • h(x) = -2x^2 -x +3
  • Reservoir A releases the same amount of water as Reservoir B over 1 week
6 0
4 years ago
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