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anzhelika [568]
3 years ago
13

144 miles on 4.5 gallons

Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0
144 miles on 4.5 gallons
Solution: 144mi                         4.5            32mi
             ------------   divided by             =  -------------
                4.5gal                        4.5            1 gal
konstantin123 [22]3 years ago
5 0

Answer:

32 miles per gallon.

Step-by-step explanation:

We are supposed to find unit rate for the given scenario.

144 miles on 4.5 gallons.

To find unit rate, we will divide 144 by 4.5 as:

\text{Unit rate}=\frac{144\text{ miles}}{\text{4.5 gallons}}

\text{Unit rate}=\frac{32\text{ miles}}{\text{gallon}}

Therefore, unit rate for our given situation is 32 miles per gallon.

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Bryson buys a bag of 64 plastic miniature dinosaurs. Could he distribute them equally into six storage containers and not have a
polet [3.4K]
So the problem is 64 divide by 6 so your answer is 10 in each container and 4 left over so No, he cannot distribute them into containers equally, because 64 divided by 6 is 10.6666667 or 10.7
7 0
3 years ago
In which of the options below will the number 3 correctly fill in the blank. Select all that apply. A) ___ : 4 = 12 : 16 B) 1 :
aniked [119]

Answer:

A and B

Step-by-step explanation:

Given

List of given options

Required

Which will correctly take 3 to fill the blank

Represent the blanks with x

Option A:

x : 4 = 12 : 16

Convert to fractions

\frac{x}{4} = \frac{12}{16}

Multiply through by 4

4 * \frac{x}{4} = 4 * \frac{12}{16}

x = \frac{48}{16}

x = 3

Option B:

1 : 5= x : 15

Convert to fraction;

\frac{1}{5} = \frac{x}{15}

Multiply through by 15

15 * \frac{1}{5} = \frac{x}{15} * 15

15 * \frac{1}{5} = x

3 = x

x = 3

Option C:

x : 1 = 12 : 3

Convert to fraction

\frac{x}{1} = \frac{12}{3}

x = 4

Option D

15:x = 3:1

Convert to fraction

\frac{15}{x} = \frac{3}{1}

Cross Multiply

3 * x = 15 * 1

3 * x = 15

Divide through by 3

x = 5

From the above calculations.

<em>Option A and B can be filled with 3</em>

5 0
2 years ago
Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = 4?
Ray Of Light [21]

Answer:

x2=−8(y−2)

Step-by-step explanation:

Parabola is a locus of a point which moves at the same distance from a fixed point called the focus and a given line called the directrix.

Let P(x,y) be the moving point on the parabola with  

focus at S(h,k)= S(0,0)  

& directrix at y= 4

Now,  

|PS| = √(x-h)2 + (y-k)2

|PS| = √(x-0)2 + (y-0)2

|PS| = √ x2 + y2

Let ‘d’ be the distance of the moving point P(x,y) to directrix y- 4=0

  •   d= |ax +by + c|/ √a2 + b2
  •   d= |y-4|/ √0 + 1
  •   d= |y-4| units.

equation of parabola is:  

  • |PS| = d
  • √ x2 + y2 = |y-4|

Squaring on both sides, we get:  

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This is the required equation of the parabola with focus at (0,0) and directrix at y= 4.

8 0
2 years ago
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Answer:

c is answer

Step-by-step explanation:

c is ans because it is simple c only serves the need of questions and satisfy it

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3 years ago
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1 cup equals 8 fluids oz
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so 28 fluids oz
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