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
ella [17]
3 years ago
5

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

of the driveway.
Mathematics
1 answer:
crimeas [40]3 years ago
4 0

Answer:

  • width -- 10 ft
  • length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

  A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

  3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

  3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

  x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

  (x +5/6)^2 = 4225/36 . . . . simplify

  x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

  x = 10  or  -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

You might be interested in
Which of the following circles lie completely within the fourth quadrant?
Sladkaya [172]

Answer:

C. (X-9)^9 + (y+9)^2= 16

D. (X-9)^2 + (y+5)^2= 9

Step-by-step explanation:

The formula for a circle is

(X-h)^2 + (y-k)^2= r^2

where (h,k) is the center of the circle and r is the radius

The 4th quadrant is where x is positive and y is negative

Add r to the y coordinate of the center and if it is still negative, the circle is still completely in the 4th quadrant

A. (X-12)^2 + (y+0)^2= 72

The center is at 12,0 and the radius is sqrt(72) = 6sqrt(2)

This will be positive so it goes into the 1st quadrant

B. (X-2)^2 + (y+7)^2= 64

The center is at 2,-7  and the radius is 8

-7+8=1 so it goes into the 1st quadrant

C. (X-9)^9 + (y+9)^2= 16

The center is at 9,-9  and the radius is 4

-9+4 = -5  so it is completely in the 4th quadrant

D. (X-9)^2 + (y+5)^2= 9

The center is at 9,-5 and the radius is 3

-5+3 = -2 so it is completely in the 4th quadrant

4 0
3 years ago
Read 2 more answers
Please help I don't get number five and please explain
marysya [2.9K]
The answer is 11 becauze the pattern works like this - 18÷2=9 20÷2=10 22÷2=11 Basically the X axis being divided by 2 which equals the Y axis (eg: X÷2=Y
3 0
3 years ago
2/3x=20 help mee if you dont mind
Ksenya-84 [330]
The answer I got was 30

7 0
3 years ago
A central angle measuring 150° intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle for
katovenus [111]

Answer: 15

Step-by-step explanation: its 15

4 0
3 years ago
Whole page for 81! Good luck!
OLEGan [10]

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

6 0
3 years ago
Other questions:
  • A bag contains 6 blue marbles 10 red marbles and 9 green marbles. If 2 marbles are drawn at random without replacement what is t
    13·1 answer
  • Another way to show the sum of 2/10 and 10/100
    12·1 answer
  • How many hours is 3pm to 5pm on the next day?
    15·2 answers
  • How do u solve 21-23
    15·1 answer
  • Olivia decides to hire an electrician. The electrician charges $35 to come out to Olivia's
    8·1 answer
  • How smart are you? a woman walks into a store and steals a $100
    5·1 answer
  • Help fast pls. Need it due fast
    9·2 answers
  • Is c=5t proportional or nonproportional
    12·1 answer
  • HELPPPP area of triangle
    5·1 answer
  • The product of 9 and n
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!