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
melamori03 [73]
3 years ago
14

A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of

the rectangle​
Mathematics
1 answer:
anzhelika [568]3 years ago
8 0

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

You might be interested in
How many times greater is 9*10^10 than 3*10^8
vladimir2022 [97]

Answer:

9*10^10/ 3*10^8 = 300

Step-by-step explanation:

6 0
3 years ago
If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?A. -2B
podryga [215]

Answer:

B) -3/2

Step-by-step explanation:

If [x/2]=0 then x/2 is a number such that the least integer greater than or equal to x/2 is 0. We can rewrite this as the inequality x/2≤0. Then, the value of x in C, D and E is wrong because they are positive numbers, then x/2 would be a positive number which contradicts this inequality.

Now, 0 is the least integer that satisfies this inequality, therefore we cannot have that x/2≤-1 since -1 is an integer and -1<0. Then x/2>-1. This discards A as wrong, because for x=-2, x/2=-1, contrary to x/2>-1.

Thus B is the right answer. To verify, if x=-3/2, then x/2=-3/4 and we have that -1<-3/4≤0 as required.

3 0
3 years ago
The graph models the daily high temperature, H(t), in Santiago, Chile, t days after the hottest day of the year. What does the p
alekssr [168]
For this case we have a function of the form:
 H (t)
 Where,
 t: number of days
 H: the daily high temperature
 We have the point (0.29).
 It means that the hottest day of the year had a temperature of 29 degrees.
 Answer:
 
the hottest day of the year had a temperature of 29 degrees.
5 0
3 years ago
I need help ASAP !! i’ll mark brainliest !
Andrej [43]

Answer:

192

Step-by-step explanation:

Multiply 3/4 by 256

3 0
3 years ago
Read 2 more answers
A high school club has a performance, with 800 tickets to sell. Tickets are $6 before the day of the show, and $9 on the day of
sweet-ann [11.9K]
A) Let x = number of presale tickets 
<span>y = number of day of show tickets </span>

<span>x + y =< 800 </span>
<span>6x + 9y >= 5000 </span>

<span>b) 6x + 9y >=5000 </span>
<span>6(440) + 9y >=5000 </span>

<span>y >= 262.2 </span>
<span>263 tickets </span>

<span>440 advance purchase tickets added to 263 day of show tickets is 703 tickets, which is below the 800 ticket maximum.</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Cuando un poligono puede ser concavo o convexo
    11·1 answer
  • Help me with equations
    13·1 answer
  • Reduce the fraction to lowest terms. y+5/2y+10<br><br>A:1/4<br>B:1/2<br>C:2/5
    6·1 answer
  • What number a is 25% of 78?
    9·2 answers
  • TUTU
    15·1 answer
  • Write an inequality that represents the graph.
    5·1 answer
  • Find the length of y, assume the triangles are similar
    7·2 answers
  • How is the product of 3 and 2 shown on a number line?<br> -10<br> 6<br> -2 -1 0
    7·1 answer
  • Help I’ll give brainliest
    11·2 answers
  • 140% of 60. can someone explain????​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!