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solong [7]
3 years ago
12

37. A juice pitcher holds 1.5 gallons of liquid. How many 8-ounce glasses of juice can be poured from a full pitcher? (1 gallon

128 ounces) Explain your answer by writing or describing the steps you used to solve the problem.
Mathematics
1 answer:
Ronch [10]3 years ago
5 0

1 gallon = 128 ounces

 multiply 128 by 1.5 gallons:

1.5 x 128 = 192 ounces total

 divide total ounces by 8 to get number of glasses:

192/8 = 24

 you can pour 24 eight ounce glasses

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Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?
Anastasy [175]

Answer:

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

Step-by-step explanation:

An equation in the vertex form is written as

y = a (x-h) + k

Where the point (h, k) is the vertex of the equation.

 

For an equation in the form ax ^ 2 + bx + c the x coordinate of the vertex is defined as

x = -\frac{b}{2a}

In this case we have the equation y = 9x^2 + 9x - 1.

Where

a = 9\\\\b = 9\\\\c = -1

Then the x coordinate of the vertex is:

x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}

The y coordinate of the vertex is replacing the value of x = -\frac{1}{2} in the function

y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}

Then the vertex is:

(-\frac{1}{2}, -\frac{13}{4})

Therefore The encuacion excrita in the form of vertice is:

y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

To find the coefficient a we substitute a point that belongs to the function y = 9x^2 + 9x - 1

The point (0, -1) belongs to the function. Thus.

-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}

-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9

<em>Then the written function in the form of vertice is</em>

y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}

7 0
3 years ago
How many solutions does the equation -4y + 4y + 2=2
Luden [163]

Answer:

Infinite Solutions

Step-by-step explanation:

If you look at the equation careful you will see this part "-4y+4y".  If you see that the variables cancel each other out leaving 2=2.  That means that for any value of y, 2=2.  Because the variable cancels itself out it doesn't mater what the variable is.  So there is an infinite amount of values you can have for "y".

6 0
3 years ago
Read 2 more answers
Jackson paints every face of the cube what is the total surface area in square centimeters of the cube Jackson paints?
GREYUIT [131]
Find the area of each face and add them all together, or since a cube has 6 faces, you can multiply the area of one face by 6.
7 0
3 years ago
Divide 1 day in the ratio 1:2
klasskru [66]
1/3day and 2/3 day
Hope I'm roght
7 0
3 years ago
Are the expressions 5 ( x - 3) and 5x + 15 equivalent? use the distributive property to support your answer
ratelena [41]

Answer: No

Step-by-step explanation: No, they aren't. If you look at 5 and multiply (distribute) it to <u>negative</u> three you will end up with -15. And 15 is not equal to negative 15.

I hope this helps!

3 0
2 years ago
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