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
elena-s [515]
3 years ago
7

Kate has a rectangular garden that is 8 feet long by 3 feet wide. She wishes to extend the length and width by the same amount i

n order to increase the the area of garden to 104 feet squared. How many feet will she need to add to each side?
Mathematics
1 answer:
elena55 [62]3 years ago
4 0
<span>Let the extension of the length and width be x.
 The new dimensions are: Length = 8+x
  Width =3+x
 Area = 104 ft squared
 Area of a rectangle = Length x Width
 Therefore,
(8+x)(3+x) = 104
 x^2 +11x +24=104
 x^2 +11x +24-104=0
 x^2 +11x-80=0

 Factorize using splitting the middle term method. X^2 +16x-5x-80=0 x(x+16)-5(x+16)=0 (x-5)(x+16)=0 either x-5 = 0 or x+16=0 x=5 or x=-16 length and width measure cannot be negative. Therefore, the extension of the length and width is 5 feet each.</span>
You might be interested in
Q3. A bag contains 7 red balls and 3 green balls. A ball is taken out replaced.
ycow [4]

Part (a)

There are 7 red out of 7+3 = 10 total

<h3>Answer: 7/10</h3>

==========================================================

Part (b)

We have 3 green out of 10 total

<h3>Answer: 3/10</h3>

==========================================================

Part (c)

3/10 is the probability of getting green on any selection. This is because we put the first selection back (or it is replaced with an identical copy)

So (3/10)*(3/10) = 9/100 is the probability of getting two green in a row.

<h3>Answer: 9/100</h3>

==========================================================

Part (d)

Similar to part (c) we have 7/10 as the probability of getting red on each independent selection.

(7/10)*(7/10) = 49/100

<h3>Answer: 49/100</h3>

==========================================================

Part (e)

7/10 is the probability of getting red and 3/10 is the probability of getting green. Each selection is independent of any others.

(7/10)*(3/10) = 21/100

<h3>Answer: 21/100</h3>

==========================================================

Part (f)

We have the exact same set up as part (e). Notice how (7/10)*(3/10) is the same as (3/10)*(7/10).

<h3>Answer: 21/100</h3>
7 0
2 years ago
It takes Ebru 131313 minutes to bike to school. If she walks, it takes her twice as long. Ebru leaves for school at 7{:}157:157,
sdas [7]

Answer: 7:41 am

Step-by-step explanation:

It takes Ebru 13 minutes to bike to school but if she walks it would take her twice at long.

= 13 * 2

= 26 minutes

If she leaves the house at 7:15 , she will arrive at:

= 715 + 26

= 7:41 hours

3 0
2 years ago
The polygons in each pair are similar. find the missing side length​
balandron [24]

Answer:

Missing length = 20

Step-by-step explanation:

Ratio is 16/20=4/5

25×4/5=20

8 0
2 years ago
If a car drove 180 miles in 3 hours and a truck drove 150 miles in 2 hours, what is the speed (in miles per hour) of the faster
grigory [225]

Step-by-step explanation:

Divide 180 by 3 = 60

Divide 150 by 2 = 75

The faster vehicle is truck and its speed is 75 mph

6 0
2 years ago
Find the volume of a cone with a height of 12cm and a base diameter of 8cm.
AnnyKZ [126]

Answer: 64

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Estimate the value of 98.5*13
    13·2 answers
  • How do I find X Y and Z using these equations: 2x-y+2z=7 -x+2y-2z=-6 and -2x+3y-4z=-9 ?​
    15·1 answer
  • Big Y has rice on sale for $1.99 per bag. You bought one bag of rice and 6 cans of black beans. Your total cost was $7.33. How m
    11·2 answers
  • Solve the proportion for n.<br> 1260/20=n/1
    15·1 answer
  • What introduction proof is FH=FG=GH
    8·1 answer
  • Write an equation in point-slope form and slope-intercept form for each line.
    9·1 answer
  • 19.5+24+7.5 =<br> 19.5+__+24 =<br> ___+24+___=
    12·1 answer
  • Find the solution to the system of equations by using graphing or substitution y=2x-1 and y=x+3
    14·1 answer
  • 5(2x)to the third power
    6·1 answer
  • -4x –12 = 48 a.x = 9 b.x = -9 c.x = 15 d.x = -15
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!