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Sindrei [870]
3 years ago
11

Jenna bought four composition notebooks in three pocket folders from the bookstore and paid $9.85. If the cost of a pocket folde

r is $1.15 less than the cost of a notebook, find the cost for a notebook.
Mathematics
2 answers:
PolarNik [594]3 years ago
7 0

Answer:

9.85 - 1.15 = 8.70

Step-by-step explanation:

you jus subtract :)  

siniylev [52]3 years ago
6 0

Answer:

  $1.90

Step-by-step explanation:

Let n represent the cost of a notebook. Jenna's purchase is ...

  4n +3(n -1.15) = 9.85

  7n - 3.45 = 9.85 . . . . . simplify

  7n = 13.30 . . . . . . . . . . add 3.45

  n = 1.90 . . . . . . . . . . . . divide by 7

The cost of a notebook is $1.90.

_____

<em>Additional comment</em>

The cost of a folder is 1.90 -1.15 = 0.75. The total purchase is ...

  4(1.90) +3(0.75) = 7.60 +2.25 = 9.85

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7. Which of the following can be determined from the graph below?
tatyana61 [14]

Answer:

The ordered pair (6,25) is a solution to both

y=-\frac{5}{2}x+40  and  y=\frac{5}{3}x+15

Step-by-step explanation:

Part 7)

<em>step 1</em>

Find the equation of the line with positive slope

take the points (0,15) and (9,30)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{30-15}{9-0}

m=\frac{15}{9}

simplify

m=\frac{5}{3}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=\frac{5}{3}

b=15

substitute

y=\frac{5}{3}x+15

<em>step 2</em>

Find the equation of the line with negative slope

take the points (0,40) and (8,20)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the given values

m=\frac{20-40}{8-0}

m=-\frac{20}{8}

simplify

m=-\frac{5}{2}

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-\frac{5}{2}

b=40

substitute

y=-\frac{5}{2}x+40

step 3

Find the solution of the system

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point is (6,25) ----> see the graph

therefore

The ordered pair (6,25) is a solution to both y=-\frac{5}{2}x+40  and  

y=\frac{5}{3}x+15

7 0
4 years ago
A students grade goes from a 95 to a 60 in 3 weeks. Calculate the students rate of grade change.
adoni [48]

Answer: The rate of change is 11.6666...

Step-by-step explanation:

You subtract 95 by 60 and you get 35.

You divide it by 3 because it happened over 3 weeks.

After dividing your answer is 11.6666...

6 0
4 years ago
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Rashid [163]
Because when you simplify a fraction you divide the number on bottom be the top number to simplify the fraction and make it a mixed number
5 0
3 years ago
If cos x= sin(20 + x)° and 0° &lt; x &lt; 90°, the value of xis
ruslelena [56]

Answer:

draw a right angle triangle

Step-by-step explanation:

Let one of the angles be A  

cos A = sin (90-A)  

90 - x - 20 = x  

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4 0
3 years ago
Please Help ASAP
Tju [1.3M]

9514 1404 393

Answer:

  no solution

Step-by-step explanation:

The discriminant is ...

  b^2 -4ac = (-4)^2 -4(2)(16) = 16 -128 = -112

A negative discriminant means there are no real solutions to the equation.

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If we assume the equation has a typographical error and is intended to be ...

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The solutions are x = -2 and x = 4.

3 0
3 years ago
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