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Kipish [7]
3 years ago
5

Jack has a rectangular patio with a length that is one foot less than twice its width. His neighbor Ron's patio has the same wid

th but a length that is 5 feet more than its width. If Jack's patio is 120 square feet and Ron's patio is 104 square feet, how many square feet longer is Jack's patio than Ron's?
Mathematics
1 answer:
swat323 years ago
6 0

Answer:

difference in area = 16 ft²

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

Step-by-step explanation:

Jacks rectangular patio

width = a

length = 2a - 1

area = lw

where

l = length

w = width

area = 120 ft²

a(2a - 1)

2a² - a - 120 = 0

(a - 8) (2a + 15)

a = 8 or -15/2

Ron's rectangular patio

width = a

length = a + 5

area = lw

area = 104 ft²

a (a + 5) = 104

a² + 5a -104 = 0

(a + 8)  (a - 13)

a = -8 or 13

How many square feet longer is jack patio longer than Ron's patio is the difference in their area. Therefore,

120 - 104 = 16 ft²

The value 8 or 13 can be used for a since the width a have to be the same.

if you use 8 the difference in length between Jack patio and his neighbor patio will be will be 15 - 13 = 2 ft

if you use 13 the difference i length will be 25 - 18 = 7 ft

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guapka [62]

Answer:

Nestor can pot 6 plants in 1 hour.

Step-by-step explanation:

first lets convert 2 1/2 hours in mixed fraction form for better calculation

2 1/2 hours = (2*2 + 1)/2 = 5/2 hours

no of plants pot in  5/2 hours = 15

to find no. of plants pot in 1 hours lets

divide both side by 5/2

no of plants pot in  5/2/(5/2)  hours = 15/(5/2) = 15*2/5 = 6

no. of plants pot in 1 hour = 6

Thus, Nestor can pot 6 plants in 1 hour.

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3 years ago
Someone please help!!! Due tonight, I’ll give brainliest!!!
Ad libitum [116K]

Answer:

2 * 0.75 + 0.50 + 4 * 1.25

$7.00

Step-by-step explanation:

Expression

2 * 0.75 + 0.50 + 4 * 1.25

Evaluate

1.50 + 0.50 + 5.00

$7.00

6 0
3 years ago
A kitchen floor has 15 1/2 tiles in an area of 2 2/5 square feet. How many tiles are in one square foot?
Marat540 [252]
6 2/5 is the answer, because 15 1/2 divided by 2 2/5 is 6 2/5
6 0
3 years ago
Plz answer the following No scams,links or random amswers or ill report​
zvonat [6]

Answer:

f(2) = 12

f(x) = 7, x = -3, 1

Step-by-step explanation:

<u>a)</u>

plug in x as 2

f(x) = 2^2 + 2(2) + 4

f(x) = 4 + 4 + 4

f(x) = 12

<u>b)</u>

replace f(x) with 7

7 = x^2 + 2x + 4

x^2 + 2x - 3 (move 7 to other side)

Factor

ac: -3x^2

b: 2x

split b into 3x, -x

(x^2 -x) + (3x - 3)

    ↓             ↓

  x(x-1)  +  3(x-1)

Factor: (x-1)(x+3) = 0

Solve using Zero Product Property:

x - 1 = 0, x + 3 = 0

x = 1, x = -3

3 0
3 years ago
What is 90% of $634?
stiks02 [169]
$570.60 because 90/100=.90 so multiply that with 634 with .90 you get 570.60
6 0
3 years ago
Read 2 more answers
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