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Stolb23 [73]
2 years ago
5

A bookkeeper bought 2,000 exercise book distributed 200 books to the student from poor economic background as donation .he sold

each remaining exercise book at rupees 10 more than the cost price of each and gained a percent 8%.
find the cost price of each exercise book​
Mathematics
1 answer:
Andrews [41]2 years ago
6 0

Books left=2000-200=1800

ATQ

\\ \sf\longmapsto 1800x+10=0.08x

\\ \sf\longmapsto 1800x-0.08x=-10

\\ \sf\longmapsto x(1800-0.08)=-10

\\ \sf\longmapsto x(1799.92)=-10

\\ \sf\longmapsto x=|\dfrac{10}{1799.92}|

\\ \sf\longmapsto x=0.005

Now

\\ \sf\longmapsto CP=0.005(2000)=10

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4 0
3 years ago
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(x - 4/6) = (x + 2/12) what is x please show your work.
Alex17521 [72]
-4/6 times 2 is -8/12

x - 8/12= x + 2/12

0=10/12
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but since 0 does not equal 5/6, this will be no solution
3 0
3 years ago
a certain state the license plate has two digits, then two letters, and then two digits. How many different license plates are p
xxTIMURxx [149]

Step-by-step explanation:

Choosing 4 digits out of 10 = 10C4 = 210.

Arranging the 4 digits in 4 places = 4!

Total number of ways to arrange digits

= 210 * 4! = 5040.

Choosing 2 letters out of 26 = 26C2 = 325

Arranging the 2 letters in 2 places = 2!

Total number of ways to arrange letters

= 325 * 2! = 650.

Total number of possible license plates

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7 0
3 years ago
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What is the value of x?
Nikolay [14]
Answer: 7 centimeters 

Explanation:

Let triangle ABC and triangle CDE form a bow tie such that 
     - triangle ABC is smaller than triangle CDE
     - Segment AC and segment CD are the north sides
     - Segment BC and segment CE are the bottom sides
     - AC = 6, CD = 42, CE = 36, BC = x

Since angle ACB and angle ECD are formed by intersecting segment AE and segment BD at point C, they are vertical angles. (See the attached picture) So, angle ACB and angle ECD are congruent. 

Moreover when we form our bowtie, point A is in the north side and point E is in the bottom sides and this implies that angle BAC and angle CED are alternate interior angles as shown in the attached figure. 

Since it is given in the problem that alternating interior angle are congruent, angle BAC and angle CED are congruent. 

Now, we have the following pairs of angles in triangle ABC and triangle CDE that are congruent:

- angle BAC and angle CED
- angle ACB and angle ECD

By AA Similarity theorem, when we have two pairs of congruent angles for two triangles, then the two triangles are similar. So, triangle ABC and triangle CDE are similar.

In similar triangles, the sides that are opposite to the congruent angles are proportional to each other. So, 

\frac{BC}{CD}  =  \frac{AC}{CE} 


    (1)

Since AC = 6, CD = 42, CE = 36, BC = x, we can substitute these values to equation (1). So, equation (1) becomes

\frac{x}{42} = \frac{6}{36}
\frac{x}{42} = \frac{1}{6}  (2)

SInce we are solving for x, we can multiply both sides of equation (2) by the denominator at the left side which is 42 so that

x = 42(1/6)
x = 7 centimeters

8 0
3 years ago
The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pi
melamori03 [73]

Answer:

The correct option is <u>$2.50</u>.

Step-by-step explanation:

This can be determined by calculating the change in total cost of lunch using the data given in the question as follows:

Slice of pizza     Total cost of lunch ($)    Change in total cost of lunch ($)

         0                                7.5                                          -

         1                                 10                                          2.5

         2                                12.5                                       2.5

         3                                 15                                          2.5

         4                                 17.5                                       2.5

         5                                 20                                         2.5

         6                                 22.5                                      2.5

         7                                 25                                         2.5

         8                                 27.5                                      2.5

Since the change in total cost of lunch in table abov is constant at $2.50, this implies that for each additional slice of pizza that is purchased, the total cost of lunch increases by $2.50.

Therefore, the correct option is <u>$2.50</u>.

7 0
3 years ago
Read 2 more answers
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