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krok68 [10]
3 years ago
14

A printer prints 28 photos in 8 minutes. a. How many minutes does it take to print 21 more photos? b. Construct a double number

line diagram that represents the situation. How many minutes does it take to print 35 more photos?
Mathematics
1 answer:
Vlad [161]3 years ago
5 0
Now, "21 more photos" is 21 added to the already printed 28, so 21 more is 28+21 photos, or 49,

\bf \begin{array}{ccll}
photos&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
28&8\\
49&m
\end{array}\implies \cfrac{28}{49}=\cfrac{8}{m}\implies m=\cfrac{49\cdot 8}{28}

what about 35 more?   well, it already printed 49, and 35 more would then be 84,

\bf \begin{array}{ccll}
photos&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
28&8\\
84&m
\end{array}\implies \cfrac{28}{84}=\cfrac{8}{m}\implies m=\cfrac{84\cdot 8}{28}
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Answer:

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is

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Step-by-step explanation:

Given:

Slope = 2 = m ( say )

Let,

point A( x₁ , y₁) ≡ ( -2 , -7 )

point B( x₂ , y₂) ≡ ( 5 , 7 )

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Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

(y - y_{1} )=(\frac{y_{2}-y_{1} }{x_{2}-x_{1} })\times(x-x_{1}) \\

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Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

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Substituting the given values in a above equation we get

(y-(-7))=2\times (x-(-2))\\ \\(y+7)=2(x+2)\\\\(y+7)=2x+4\\2x-y=3\\2x-y=3...............\textrm{which is the required equation of the line AB}

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Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per
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Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

​

40x+20y= 360

x+y=14

Solve for y in each equation:

​

40x+20y = 360  x+y = 14 20y = -40x+360  

\frac{-20y}{20} =\frac{-40x+360}{20}

y = -2x+18

​

 

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