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mafiozo [28]
3 years ago
8

The model of a circular garden is 8 inches in diameter. The actual garden will be 20 feet in diameter. Find the scale of the mod

el.
Mathematics
1 answer:
8_murik_8 [283]3 years ago
3 0

Answer:

1/30 of a scale.

Step-by-step explanation:

Multiply the 20 by 12 to convert it to inches.  Then divide the answer by 8 to get the scale.

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The formula for the volume of a sphere is v= 4/3 m^3 what is the formula solved for r ?
Softa [21]

Answer:

            3V

r = ∛ ( ---------- )

            4π

Step-by-step explanation:

Please, enclose the fraction 4/3 inside parentheses, to eliminate any possibility of misreading this fraction.  Also note that this formula MUST include "pi," symbolized by π.

V = (4/3) π r³  This formula does NOT include "m," which is a unit of measurement, not a variable.

Our task is to solve this formula for the radius, r.

Divide both sides by (4/3) π, to isolate r³.  This results in:

      v               (4/3) π r³

-------------   =  -----------------

  (4/3) π             (4/3) π

                     

                       V              3V

Then r³ = --------------  =  --------

                   (4/3) π           4π

and r is found by taking the cube root of the above result:

            3V

r = ∛ ( ---------- )

            4π

4 0
3 years ago
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
3 years ago
Fill in the blank to make each equality true. x/(1/2x^3)=16x^6 y^4
inn [45]

Answer:

ur in rsm too? i have the same question sorry -_-

Step-by-step explanation:

7 0
3 years ago
Explain why vertical lines are a special case in the definition of parallel lines.
Nookie1986 [14]

Answer:

A vertical line has an infinite or undefined slope since the denominator is zero.

Step-by-step explanation:

Parallel lines by definition refers to lines that never intersect or meet since they have identical slopes. The slope of line is defined as;

(change in y)/(change in x)

For a vertical line, the y values are changing while the x values remain constant. The slope of this line will thus have a zero value in the denominator implying that its slope will not defined or will be infinity.

6 0
3 years ago
Read 2 more answers
-3x +2y= 4 4x-13y=5 solve by elimination
Svet_ta [14]
I am better at substitution, but you want to get the equations as similar as possible, but are the opposite, so you can cancel it out.

4 0
3 years ago
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