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Vlada [557]
3 years ago
10

A scale drawing has a scale of 3 in. . 1 ft. What is the scale factor?

Mathematics
2 answers:
Valentin [98]3 years ago
8 0

Answer:

The scale factor is 4.

Step-by-step explanation:

Given,

The scale drawing has a scale of 3 inches : 1 feet,

That is, for 3 inches the measurement is 1 feet

We know that,

1 feet = 12 inches,

⇒ For 3 inches the measurement is 12 inches,

Thus, the scale factor = \frac{\text{Final measurement}}{\text{Initial measurement}}

=\frac{12}{3}

=4

Hence, the scale factor is 4.

Alex17521 [72]3 years ago
3 0
The scale factor of that problem would be 3in to every 1ft
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Step-by-step explanation:

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Solve the following using Substitution method<br> 2x – 5y = -13<br><br> 3x + 4y = 15
Digiron [165]

\huge \boxed{\mathfrak{Question} \downarrow}

Solve the following using Substitution method

2x – 5y = -13

3x + 4y = 15

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\left. \begin{array}  { l  }  { 2 x - 5 y = - 13 } \\ { 3 x + 4 y = 15 } \end{array} \right.

  • To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

2x-5y=-13, \: 3x+4y=15

  • Choose one of the equations and solve it for x by isolating x on the left-hand side of the equal sign. I'm choosing the 1st equation for now.

2x-5y=-13

  • Add 5y to both sides of the equation.

2x=5y-13

  • Divide both sides by 2.

x=\frac{1}{2}\left(5y-13\right)  \\

  • Multiply \frac{1}{2}\\ times 5y - 13.

x=\frac{5}{2}y-\frac{13}{2}  \\

  • Substitute \frac{5y-13}{2}\\ for x in the other equation, 3x + 4y = 15.

3\left(\frac{5}{2}y-\frac{13}{2}\right)+4y=15  \\

  • Multiply 3 times \frac{5y-13}{2}\\.

\frac{15}{2}y-\frac{39}{2}+4y=15  \\

  • Add \frac{15y}{2} \\ to 4y.

\frac{23}{2}y-\frac{39}{2}=15  \\

  • Add \frac{39}{2}\\ to both sides of the equation.

\frac{23}{2}y=\frac{69}{2}  \\

  • Divide both sides of the equation by 23/2, which is the same as multiplying both sides by the reciprocal of the fraction.

\large \underline{ \underline{ \sf \: y=3 }}

  • Substitute 3 for y in x=\frac{5}{2}y-\frac{13}{2}\\. Because the resulting equation contains only one variable, you can solve for x directly.

x=\frac{5}{2}\times 3-\frac{13}{2}  \\

  • Multiply 5/2 times 3.

x=\frac{15-13}{2}  \\

  • Add -\frac{13}{2}\\ to \frac{15}{2}\\ by finding a common denominator and adding the numerators. Then reduce the fraction to its lowest terms if possible.

\large\underline{ \underline{ \sf \: x=1 }}

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\huge\boxed{  \boxed{\bf \: x=1, \: y=3 }}

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All of the quadrilaterals in the shape below are squares. Find the area of the shaded
ArbitrLikvidat [17]
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Drag steps of the solution into order to solve for x in the equation 6(x-5) = 54
telo118 [61]

The steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

  • A. 6x – 30 = 54
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Given the expression 6(x-5) = 54

Expand the expression in parenthesis using the distributive law;

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6x - 30 = 54

Add 30 to both sides

6x - 30 + 30 = 54 + 30

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Divide both sides by 6

6x/6 = 84/6

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Therefore the steps of the solution into order to solve for x in the equation 6(x-5) = 54 are:

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Learn more on equations here; brainly.com/question/2972832

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