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Anestetic [448]
2 years ago
10

2.4m log is cut into lengths into the ratio 7 : 5. Find the longer length in cm.

Mathematics
1 answer:
sergeinik [125]2 years ago
7 0

Answer:

140 centimeters.

Step-by-step explanation:

Hello!

A 2.4 meter log is split into the ratio 7:5. Each unit part is one x-increment, so the log is split into 7 x-increments and 5 x-increments.

Find the longer length:

  • 2.4 into 7:5
  • 2.4 = 7x + 5x
  • 2.4 = 12x
  • x = 2.4/12
  • x = 0.2

Now, we must find the longer length, 7x.

  • 7x
  • 7(0.2)
  • 1.4

The longer length is 1.4 meters, but we want it in cm.

There are 100 centimeters in a meter.

  • 1.4 meters = 1.4 * 100
  • 1.4 meters = 140 centimeters

The longer length is 140 centimeters.

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A manufacturing company produces engines for light aircraft . The graph shows the number of engine produced each year since the
photoshop1234 [79]

Answer:

y=13x+32

149 engines in 9th year

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

From a look at the photo and the data plot can be represented by the function, so we can pick 2 points in our given graph

  • (x1, y1) = (2,60)
  • (x2, y2) = (5,99)

The standard form of a linear equation is:

y = mx + b where:

  • m is the slope
  • b is the y-intercept

We know the slope of the function can be found as following:

m = \frac{y2 - y1}{x2 - x1}  so in this situation we have:

<=> m=\frac{99-60}{5-2}=\frac{39}{3}=13

=> y = 13x + b (1)

Because the line goes through point  (2,60) so we substitute it into (1):

60 = 13*2 + b

<=> b = 60 - 26 = 34

=> y = 13x + 34

Now we will substitute x=9 to find the engines produced by company in 9th year as:

y=13(9)+32\\y=117+32=149

Hence, the company will produce 149 engines in 9th year

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3 years ago
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Austin Family Furniture purchases recliners directly from the manufacturer for $235.00 each. The recliners are marked up 185% of
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235 times 1.85= 434.75
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Which symbol makes the following number sentence true? 546, 322. 540, 997
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The answer is:
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8 0
3 years ago
Read 2 more answers
#4 home do I find which one it is?
lina2011 [118]
\bf \begin{array}{lllll}&#10;solutions&graphs&slopes\\&#10;----&----&----\\&#10;\textit{exactly one}&&#10;\begin{array}{llll}&#10;\textit{the two lines intersect}\\&#10;\textit{at one point}&#10;\end{array}&\textit{different slopes}\\\\&#10;infinitely\quad many&&#10;\begin{array}{llll}&#10;\textit{the two lines coincide}\\&#10;\textit{one is right on top}\\&#10;\textit{ of the other}&#10;\end{array}&&#10;\begin{array}{llll}&#10;\textit{equal slopes}\\&#10;\textit{equal y-intercepts}&#10;\end{array}&#10;\end{array}

\bf \textit{no solution}\qquad\quad &\textit{lines are parallel} \qquad &&#10;\begin{array}{llll}&#10;\textit{equal slopes}\\&#10;\textit{different y-intercepts}&#10;\end{array}&#10;\end{array}

for example, let's look at the first set

y+3x =5   or  y = -3x+ 5
and               y = -3x + 2
                    y =  m  + b

the slopes are equal, the y-intercepts differ
that means, they're just parallel lines, no solution
8 0
4 years ago
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