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
Zolol [24]
4 years ago
11

A 13?-foot board is cut into two pieces. The longer piece is 7.5 feet longer than the shorter piece. What is the length of each?

piece?
Mathematics
1 answer:
chubhunter [2.5K]4 years ago
6 0

Answer:

The smaller board would be 2.75 feet and the longer one would be 10.25 feet.

Step-by-step explanation:

In order to find this, assume the shorter board is equal to x. Next, we would know that the longer board would be equal to x + 7.5. Using these two assumptions, we can add the lengths together, set equal to 13 and then solve for x.

x + (x + 7.5) = 13

2x + 7.5 = 13

2x = 5.5

x = 2.75

Now that we have the length of the shorter board, we can add 7.5 to it to get the larger one.

2.75 + 7.5 = 10.25

You might be interested in
A certain animated movie earned $ 1 . 1 ? 1 0 9 $1.1?10 9 in revenues at the box office. The movie lasts 9 . 1 ? 1 0 1 9.1?10 1
Leokris [45]

Answer:

$1.21\times 10^{7} per minute.

Step-by-step explanation:  

We have been given that a certain animated movie earned $1.1\times10^{9} in revenues at the box office. The movie lasts 9.1\times10^{1} minutes.

To find the revenue earned per minute of the movie we will will divide 1.1\times10^{9} by 9.1\times10^{1}.

\text{The revenue earned per minute by the movie}=\frac{1.1*10^{9}}{9.1*10^{1}}  

Using quotient rule of exponents we will get,

\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{(9-1)}

\text{The revenue earned per minute by the movie}=\frac{1.1}{9.1}*10^{8}

\text{The revenue earned per minute by the movie}=0.1208791208791209\times 10^{8}

We can write 0.1208791208791209 as 1.208791208791209\times10^{-1}.

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1} \times 10^{8}

Using product rule of exponents we will get,    

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{-1+8}    

\text{The revenue earned per minute by the movie}=1.208791208791209\times 10^{7}

Upon rounding our answer to two decimal places we will get,

\text{The revenue earned per minute by the movie}=1.21\times 10^{7}      

Therefore, the movie had earned a revenue of $1.21\times 10^{7} per minute.

7 0
3 years ago
Read 2 more answers
What is the greatest number of points of intersection that can occur when 2 different circles and 2 different straight lines are
sveticcg [70]
8:

A line can intersect a circle twice. So, two lines intersect one circle 4 times. Two lines can intersect two circles 8 times.

Hope this helps!
3 0
3 years ago
Select all pairs of alternate interior angles. Assume the lines are parallel.
Digiron [165]

Answer:

6 y 3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Which of the following expressions are equivalent to -\dfrac{2}{-13}−
Fynjy0 [20]

Answer:

Step-by-step explanation:

We are given:

     

      2

- ----------

    -13

Since a negative number (-2) divided by another negative number results in a positive number,

      2

  ----------

     13

Both Answers A and B are correct; the final value in each case is +2/13.

4 0
3 years ago
Read 2 more answers
Please answer quickly<br>expand and simplify: 4(5x-3y) (x-4y) -(3x-4y)(2x+3y)​
Gekata [30.6K]

Answer: 14x^2-93xy+60y^2 Hope that helps!

Step-by-step explanation:

1. Expand by distributing terms

(20x-12y)(x-4y)-(3x-4y)(2x+3y)

2. Use the Foil method:(a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(3x-4y)(2x+3y)

3. Use the Foil method : (a+b)(c+d)= ac+ad+bc+bd

20x^2-80xy-12yx+48y^2-(6x^2+9xy-8yx-12y^2)

4. Remove parentheses 20x^2-80xy-12yx+48y^2-6x^2-9xy+ 8yx+12y^2

5. Collect like terms (20x^2-6x^2)+(-80xy-12xy-9xy+8xy)+(48y^2+12y^2)

6. Simplify.

And your answer would be 14x^2-93xy+60y^2

5 0
3 years ago
Other questions:
  • The temperature is -3°F at 7:00 A.M. During the next 4 hours, the temperature increases 21°F. What is the temperature at 11:00 A
    12·1 answer
  • Katrina drove 140 miles in two hours. If she continues driving in that speed, how long will it take her to drive 350 miles?
    9·1 answer
  • In a large survey, 10 randomly selected third graders were asked what their favorite color is. The results are as follows:
    8·1 answer
  • 14x - 8 = 6x ????<br> 8.5 - 3z = -8 ????<br> 9m + 14 = 2m ????
    13·2 answers
  • a recipe requires 1/2 cup of sugar for each 2/3 cup of flour. how many cups are needed for each cup of flour?
    14·1 answer
  • Explain what can happen if you line up the digits incorrectly when you rewrite additional problems
    12·1 answer
  • Match to the corresponding value
    15·1 answer
  • Mrs. Nelson asked students in her class to translate the statement “Remy lost some of the $14 his mom gave him” into an algebrai
    8·2 answers
  • Please help PLEASE help​
    14·2 answers
  • Simplify<br><br>(2x+5)(4×-7)
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!