1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Basile [38]
11 months ago
5

Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?

Solve using unit rates
Mathematics
1 answer:
tatuchka [14]11 months ago
8 0

Step 1

From the question;

\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\  \end{gathered}

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}

Answer; It will take Bobby 9months to read 90 booj

9\text{ months}

You might be interested in
Original price; 30.50; Markdown 30%
Stels [109]

Answer:

After the markdown, the cost will be $21.35

Step-by-step explanation:

This is shown by multiplying the original price, 30.50 by 30%, or 0.30 to get 9.15. Next you subject your product from the original price to get the marked down value at 21.35.

8 0
3 years ago
Carmen is selling pies at the cherry festival to raise money for her local volunteer fire department. She sells 85 pies for $12
xz_007 [3.2K]
85x12*=1,020.
1,020-340= 680
680 total profit.
680÷85=8.
so profit for each pie is 8.00
7 0
3 years ago
Which expressions are equivalent to 64’1Check all that apply.
erastovalidia [21]

Answer: a,c,f (4^3, 8^2, 2^6)

Step-by-step explanation:

8 0
3 years ago
X*2/5=3/20 what si it nowwwwwwwwwwwwwwwwwwwww
gladu [14]

Answer: x = 11/20 = 0.550

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-2/5-(3/20)=0  

Step by step solution :

Step  1  :

            3

Simplify   ——

           20

Equation at the end of step  1  :

       2      3

 (x -  —) -  ——  = 0  

       5     20

Step  2  :

           2

Simplify   —

           5

Equation at the end of step  2  :

       2      3

 (x -  —) -  ——  = 0  

       5     20

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

         x     x • 5

    x =  —  =  —————

         1       5  

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 :

3.2       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:

x • 5 - (2)     5x - 2

———————————  =  ——————

     5            5    

Equation at the end of step  3  :

 (5x - 2)     3

 ———————— -  ——  = 0  

    5        20

Step  4  :

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       5  

     The right denominator is :       20  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

5 1 1 1

2 0 2 2

Product of all  

Prime Factors  5 20 20

     Least Common Multiple:

     20  

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 4

  Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (5x-2) • 4

  ——————————————————  =   ——————————

        L.C.M                 20    

  R. Mult. • R. Num.       3

  ——————————————————  =   ——

        L.C.M             20

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(5x-2) • 4 - (3)     20x - 11

————————————————  =  ————————

       20               20    

Equation at the end of step  4  :

 20x - 11

 ————————  = 0  

    20    

Step  5  :

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 20x-11

 —————— • 20 = 0 • 20

   20  

Now, on the left hand side, the  20  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  20x-11  = 0

Solving a Single Variable Equation :

5.2      Solve  :    20x-11 = 0  

Add  11  to both sides of the equation :  

                     20x = 11

Divide both sides of the equation by 20:

                    x = 11/20 = 0.550

One solution was found :

                  x = 11/20 = 0.550

7 0
3 years ago
Colin put some buttons on a table. There were 4 blue buttons, 5 red buttons, 7 tan buttons, and 8 white buttons. Colin's cat jum
mixas84 [53]
4 out of 24 reduced to 1 out of 6 since there are 24 total buttons and 4 are blue. About 16.67%
7 0
3 years ago
Read 2 more answers
Other questions:
  • How do you find x? Please help
    7·1 answer
  • PLZ HELP! I have no idea how to do this
    11·1 answer
  • Ketoprofen 20%, cyclobenzaprine 2%, baclofen 2%, in TD cream. Calculate to make 120g
    7·1 answer
  • Please give me the answers to these questions. The questions are in the picture above. If you’re going to give me the answers sh
    13·1 answer
  • The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determin
    14·2 answers
  • The cost of having a window fixed is $100 plus $20 per hour of labor. Using h for the number of hours of labor, write an express
    7·2 answers
  • K (x) = 6x + 100 <br> k(-5) = ?
    13·2 answers
  • Solve for x:<br> x + 3x - 19 = 17
    5·1 answer
  • One third the cost of dinner
    14·2 answers
  • Sue had a circular picture that she wanted to frame. If the picture's frame diameter was
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!