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
-Dominant- [34]
3 years ago
12

A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104

represents the situation, where x represents the width of the rectangle. What are the dimensions of the rectangle?
Mathematics
2 answers:
mina [271]3 years ago
8 0
1. Regroup terms
x(x+5)=104

2. Expand
x^2+5x=104

3. Move all terms to one side
x^2+5x-104=0

4. Factor x^2+5x-104
(x-8)(x+13)=0

5. Solve for x
x=8 or x=-13
Since x<0 is not possible in this case, x=8

6. Finding the dimensions
We know that one side has to be x+5, and now that we know x:
8+5=13
13*8=104

The dimensions are 13 and 8, have a nice day :D
Ivenika [448]3 years ago
6 0

Answer: x2 + 5x – 104 = 0

You might be interested in
A place from this table is chosen at random. Let event A = The place is a city.
Crank

Answer:

Final answer is P(A^c)=\frac{3}{7}

Step-by-step explanation:

We have been given a table containing a list of few places that are either city or in North America.

Total number of places in that list = 7

That means sample space has 7 possible events.

Given that a place from this table is chosen at random. Let event A = The place is a city.

Now we need to find about what is P(A^c).

That means find find the probability that chosen place is not a city.

there are 3 places in the list which are not city.

Hence favorable number of events = 3

Then required probability is given by favorable/total events.

P(A^c)=\frac{3}{7}

6 0
3 years ago
Calculate the mean number of students per class at watch school. Write your answers in sentences that explain what the means rep
Tpy6a [65]
To find the mean you add all the numbers then divide the sum by how many numbers there are :

1)Ford School
   
21+19+20=60

there are 3 numbers in the equation so you divide 60 by 3 :

60÷3=20

the mean for Ford School is 20

2)Carter School

41+36+37=114

there are 3 numbers in the equation so you divide 114 by 3 :

114÷3=38

the mean for Carter School is 38

hope this helps
6 0
2 years ago
Read 2 more answers
A television costs $270.25 including 15% tax. How much of cost is the tax
My name is Ann [436]

Answer:

229.7125

Step-by-step explanation:

4 0
3 years ago
Is the complement of a congruent angle it’s supplement
Vedmedyk [2.9K]
Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees, so no.
7 0
3 years ago
a 55 ft long drainage pipe must be cut into two pieces before installation. one piece is two-thirds as long as the other. find t
Hunter-Best [27]

Answer:

33 feet

22 feet

Step-by-step explanation:

Let the longer piece be x

Therefore the shorter piece is (2/3)x

x + (2/3)x  = 55                  Combine the left 2 terms.

(3/3)x + (2/3)x = 55           Add  

(5/3)x = 55                        Multiply both sides by (3/5)

(3/5) * (5/3)x = (3/5)*55

x = 33

The larger piece is 33 feet

The smaller piece is (2/3) * 33 = 22 feet

5 0
3 years ago
Other questions:
  • Factoring has nothing to do with finding the least common denominator.
    9·1 answer
  • A triangular piece of rubber is stretched equally from all sides, without distorting its shape, such that each side of the enlar
    5·1 answer
  • Which is the MOST precise measurement this ruler can give for the line segment?
    15·1 answer
  • The population of a pack of wolves is 88. the population is expected to grow at a rate of 2.5% each year. what function equation
    5·2 answers
  • There are128 pens full box.how many pens are in 7 box’s
    5·2 answers
  • Fred is 4 times as old as nathen and is also27 years older than nathen
    6·1 answer
  • Also need help with this.
    9·2 answers
  • Which number line best represents he solution to the inequality -18x +3 &lt;48?
    9·1 answer
  • Two points are g phedo the comdinate plane.
    11·1 answer
  • NEED ANSWERS ASAP WILL GIVE BRAINEST
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!