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leonid [27]
3 years ago
6

A 14 foot is cut into two pieces so that one piece is 3 feet longer than twice the shorter piece

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0
To answer the question above, let x be the shorter one of the pieces. With the variable, we can express the longer piece as 2x + 3. Based on the given, the sum of the lengths of these pieces should sum up to 14 ft. 

                                        2x + 3 + x = 14 ft, x = 3 2/3 ft

Substituting this value for the longer piece, we get 10 1/3 ft. Thus, the lengths of the pieces are 3 2/3 ft and 10 1/3 ft. 

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7 0
3 years ago
Read 2 more answers
An educator wants to see how the number of absences for a student in her class affects the student’s final grade. The data obtai
Vinvika [58]

Answer:

Simple linear equation is :

Y = 86.784 - 2.67x

Step-by-step explanation:

The educator wants to see the relationship between no of absences and final grades of the student. No. of absence of student is independent variable while final grade is dependent variable. The final grades of the student are dependent on the no. of absence they do.

b = Sxy / Sxx

b =  { 2312 [ 37 * 422 ] / 6 } / 337 - 37^2 / 6 = -2.67

a = -2.67 * 37/6 = 86.784

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2 years ago
Determine which triangle appers to be acute?
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Which triangles am I supposed to choose from?

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3 years ago
Question 3(Multiple Choice Worth 2 points)
Lilit [14]

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

<h3>What is an equivalent expression?</h3>

The equivalent is the expression that is in different forms but is equal to the same value.

Five-sevenths squared times one-third raised to the power of negative three all raised to the power of negative one.

Convert the sentence into numerical form.

\rm \rightarrow \left [ \left (\dfrac{5}{7} \right )^2 \times \left ( \dfrac{1}{3}\right )^{-3} \right ] ^{-1}

Simplify the expression, then we have

\rm \rightarrow \left [ \left (\dfrac{7}{5} \right )^{2} \times \left ( \dfrac{1}{3}\right )^{3} \right ]

The equivalent expression is seven-fifths squared times one-third cubed. Then the correct option is D.

More about the equivalent link is given below.

brainly.com/question/889935

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6 0
1 year ago
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

6 0
3 years ago
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