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In-s [12.5K]
3 years ago
5

A 2-gallon bucket of paint costs $58.00. What is the price per quart? $​

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

7 dollars and 25 cents

Step-by-step explanation:

there is 8 quarts in 2 gallons then divide 58 dollars by 8 and you get 7 dollars 25 cents

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How to convert nonlinear equation to linear equation?
9966 [12]
Let's take the non-linear equation:
{x}^{2}  =  \sqrt{3} y
First Make The Equation To Be In Terms of Y

*Divide Both sides by
\sqrt{3}
\frac{ {x}^{2} }{ \sqrt{3} }  =  \frac{ \sqrt{3} y}{ \sqrt{3} }
*Simplify
\frac{ {x}^{2} }{ \sqrt{3} }  = y
You shouldn't keep a radical in the denominator, however we leave it for the purpose of the reciprocal.

*Take The Reciprocal Of Both Sides
\frac{ \sqrt{3} }{ {x}^{2} } =  \frac{1}{y}
A Linear Equation Takes The Format:
y = mx + b
So,
\frac{1}{y}  = y
b = 0
m(slope) =  \frac{ \sqrt{3} }{x}
x =  \frac{1}{x}
Resulting in :
\frac{1}{y}  =  \frac{ \sqrt{3} }{x}  (\frac{1}{x} ) + 0

4 0
3 years ago
Three water storage containers have the same volume in the shape of a cylinder, a cone, and a sphere. The base radius of the cyl
fredd [130]

Answer:

- The ratio of the height of the cone to the height of the cylinder is 3:1

- The ratio of the height of the cone to radius of the sphere is 4:1

Step-by-step explanation:

Note that the radii of all the structures are the same.

Let the height of the cone be H and the height of the cylinder be h

The volume of each of the shapes are given below as

Volume of cylinder = πr²h

Volume of a cone = (1/3)πr²H

Volume of a sphere = (4/3)πr³

1) The ratio of the height of the cone to the height of the cylinder

To obtain this, we equate the volume of those two structures

Volume of the cone = Volume of the cylinder

(1/3)πr²H = πr²h

πr² cancels out on both sides and we're left with

(H/3) = h

H = 3h

(H/h) = (3/1)

So, The ratio of the height of the cone to the height of the cylinder is 3:1

2) The ratio of the height of the cone to radius of the sphere

Similarly equating the volumes of the cone and the sphere

(1/3)πr²H = (4/3)πr³

(1/3)πr² cancels out on both sides and we're left with

H = 4r

(H/r) = (4/1)

The ratio of the height of the cone to radius of the sphere is 4:1

Hope this Helps!!!

8 0
3 years ago
Find m<DCV and m<VBD​
max2010maxim [7]

9514 1404 393

Answer:

  • m∠DCV = 50°
  • m∠VBD = 50°

Step-by-step explanation:

Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.

Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.

5 0
2 years ago
A van is traveling 1.5 km per minute. How fast is the van traveling in miles per hour?
ipn [44]

Answer:

55.9234

Step-by-step explanation:

1.5*60=90

90km=(x) miles

3 0
2 years ago
Read 2 more answers
1. List the properties of a parallelogram
CaHeK987 [17]

9514 1404 393

Answer:

  1. see the list below
  2. no
  3. yes

Step-by-step explanation:

1. The dictionary definition of a parallelogram is ...

  a quadrilateral with opposite sides parallel

As a consequence of this condition, a number of additional properties arise:

  • opposite sides are the same length
  • opposite angles are congruent
  • adjacent angles are supplementary
  • diagonals bisect each other

__

2. The dictionary definition of a trapezoid (US; trapezium, UK) is ...

  a quadrilateral with one pair of parallel sides.

As a consequence of this condition, it is not possible for a trapezoid to be a parallelogram.

__

3. A rhombus is a special case of parallelogram in which all sides are the same length. A square is a special case of rhombus in which all angles are congruent (as are the diagonals). Yes, a rhombus may be a square.

8 0
3 years ago
Read 2 more answers
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