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natima [27]
3 years ago
6

Kim is reading a book with 380 pages. She read 20 pages each day until she reached Part 2 of the book. Part 2 of the book is 160

pages long. She uses the equation 380−20d=160 to represent the number of days, d, it took her to read Part 1. How many days did it take Kim to read Part 1 of the book?
Mathematics
2 answers:
Verdich [7]3 years ago
4 0
Part 1 took 19 days.
aksik [14]3 years ago
4 0

part 1 of the book took 19 days

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3 years ago
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Maru [420]

Answer:   c > 12

Step-by-step explanation:tep  1  :

           c

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           3

Equation at the end of step  1  :

       c            

 ((2 • —) -  1) -  7  > 0  

       3            

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        1     1 • 3

   1 =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2c - (3)     2c - 3

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   3           3    

Equation at the end of step  2  :

 (2c - 3)    

 ———————— -  7  > 0  

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Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        7     7 • 3

   7 =  —  =  —————

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Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(2c-3) - (7 • 3)     2c - 24

————————————————  =  ———————

       3                3    

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  2c - 24  =   2 • (c - 12)  

Equation at the end of step  4  :

 2 • (c - 12)

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Step  5  :

5.1    Multiply both sides by  3  

5.2    Divide both sides by  2  

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5.3      Add  12  to both sides

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5.4      Inequality plot for

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One solution was found :

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3 years ago
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Answer:

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7 0
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What is the volume of the right triangular prism shown?
ollegr [7]

<u>Given</u>:

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The area of the base of the triangle can be determined using the Heron's formula.

S=\frac{a+b+c}{2}

Substituting a = 8, b = 15 and c = 17. Thus, we have;

S=\frac{8+15+17}{2}

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Using Heron's formula, we have;

Area = \sqrt{S(S-a)(S-b)(S-c)}

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Thus, the area of the base of the right triangular prism is 36 square units.

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The volume of the right triangular prism can be determined using the formula,

V=\frac{1}{2}A_b h

where A_b is the area of the base of the prism and h is the height of the prism.

Substituting the values, we have;

V=\frac{1}{2}(60\times 15)

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8 0
3 years ago
Question 11 Multiple Choice Worth 1 points)
Viefleur [7K]

Answer:

x = 35

Step-by-step explanation:

First, we need to add the angles on a straight line and subtract them by 180 (because angles on a straight line adds up to 180)

56 + 51 = 107

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Now that we have found the angle of y, we can find the angle of x now. Because angles in a triangle adds up to 180, we have to add 72 and 73 now.

72 + 73 = 145

And now subtract it from 180

180 - 145 = 35

So x = 35

8 0
2 years ago
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