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nataly862011 [7]
2 years ago
12

Unit rate for $67.92 for 4 gallons

Mathematics
1 answer:
Alona [7]2 years ago
6 0

Answer:

$16.98 per gallon

Step-by-step explanation:

We can set up a equation using ratios:

\frac{67.92}{4}=\frac{x}{1}

Solve by cross multiplication (multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction):

67.92=4x

Divide both sides by 4 to isolate x

$16.98

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Three vertices of a rectangle have coordinates (3,4), (5,−4), and (−7,−7). Determine the fourth vertex of the rectangle and then
Ket [755]
The fourth vertex would be at point (-9,1).
The slope from (5,-4) to (3,4) is -8/2 or -4.
So I did that with (-7,-7) to the fourth vertex to get the answer.
7 0
3 years ago
PLEASE HELP ME!!!!!!
Nata [24]

9514 1404 393

Answer:

  vertex: (2, -3.2)

  axis of symmetry: x = 2

  zeros: x=0, x=4

  formula for axis of symmetry:

  • x = <x-coordinate of vertex>
  • x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +c
  • x = average of zeros, (z1 +z2)/2

Step-by-step explanation:

a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.

The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.

The vertex is (2, -3.2).

__

b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:

  x = 2

__

c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.

__

d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...

  x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)

When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.

  x = <x-coordinate of the vertex>

Another is to average the zeros, since they are symmetrical about the axis of symmetry.

  x = average of zeros = (z1 +z2)/2

If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.

  y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)

  x = h . . . . . . equation of axis of symmetry

8 0
2 years ago
a spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 27 cm to 17 cm
Phoenix [80]

Answer:

3.30=90

17/1=17

90+17=107

Step-by-step explanation:

7 0
2 years ago
What's the circumference of a circle with a diameter of 9 inches?​
yaroslaw [1]

Answer:

9pi

Step-by-step explanation:

circumference= 2 (pi) (r)

radius = diameter \ 2

r = 9 \ 2 = 4.5in.

c = 2 (pi) (4.5)

c = 9pi or 28.3in.

Hope this helps!

3 0
3 years ago
15/10 to a mixed number
tensa zangetsu [6.8K]
First, we have to find how many times 10 goes into 15.

We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.

Now, we can simplify!

In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)

1*5

1*10
2*5

The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.

5/5=1
10/5=2

So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)

We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.

1*2=2
2+1=3

Keep the denominator as 2.

The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!

So, our answer is 1 1/2.

I hope I helped! :)
3 0
3 years ago
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