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ivolga24 [154]
3 years ago
6

Frank wants to build a garden with the dimensions below.

Mathematics
2 answers:
dexar [7]3 years ago
7 0
Given:
Length = x + x + 3 = 2x + 3
Width = 2 + x 

Area = length * width 
91 ft² = (2x + 3) (2+x)
91 = 4x + 2x² + 6 + 3x
0 = 2x² + 7x + 6 - 91
0 = 2x² + 7x - 85

(2x + 17) ( x - 5)

x = -17/2 or  x = 5

Let x = 5 ; 

length = 2x + 3 = 2(5) + 3 = 13
width = 2 + x = 2 + 5 = 7

 Area = 13 x 7 = 91

Perimeter = 2(length + width)
Perimeter = 2(13 + 7)
Perimeter = 2(20)
Perimeter = 20 feet of fencing
lozanna [386]3 years ago
7 0

Answer:

The length is 13 and the width is 7, but the length of fencing, is 40, because there are 4 sides.  Two thirteens = 26 + Two sevens = 14

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Ronch [10]

Mr. and Mrs. Bailey need to invest $2906.50 so as to send their son to college.

<h3>Compound interest</h3>

Compound interest is given by:

A=P(1+\frac{r}{n})^{nt}

where A is the amount after t years, P is initial amount, r is the rate and n is the times compounded per period

Given that n = 1, r = 9% = 0.09, A = $7500 t = 11. Hence:

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Find out more on Compound interest at: brainly.com/question/24924853

7 0
2 years ago
Factor this polynomial completely.<br> 6x2 + 7x - 20
Papessa [141]
It’s the third answer
(2x + 5) x ( 3x -4)
3 0
3 years ago
The ratio of cars to trucks is 9:4. The ratio of trucks to SUV's is 12:21. There are 54 cars.
Elenna [48]

Answer:

Number of trucks = 24

Number of SUVs = 24

Step-by-step explanation:

A)

The ratio of cars to trucks is 9:4

The total ratio of cars to trucks is

9+4 = 13

Let x = sum of cars and trucks.

There are 54 cars. Therefore,

x = 54 + t trucks

Number of cars = ratio of cars/ total ratio × sum of cars and trucks. This means,

54 = 9/13 × x

9x / 13 = 54

9x = 13 × 54

9x = 702

x = 702 / 9 = 78

x = 54 + t trucks = number of trucks = 78 = 54 + t trucks

t trucks = 78 - 54 = 24

Number of trucks = 24

B)

The ratio of trucks to SUVs is 12:21

The total ratio of cars to trucks is

12 + 21 = 33

Let y = sum of trucks and SUVs

There are 24 trucks. Therefore,

x = 24 + s SUVs

Number of trucks = ratio of trucks / total ratio × sum of trucks and SUVs. This means,

24 = 12 / 33 × y

12y / 33 = 24

12y = 24 × 33

12y = 792

y = 792 / 12 = 66

y = 24 + s SUVs

66 = 24 + s SUVs

s SUVs = 66 - 24 = 42

Number of SUVs = 24

7 0
3 years ago
To find the sum of 4 and -5.
Katen [24]

Answer:

-1

Step-by-step explanation:

-5 + 4 = 1

5 0
3 years ago
The expression (q16)(q−5)2 is equivalent to qn. What is the value of n? 42 22 -160 13
Lelu [443]

Answer:

  22

Step-by-step explanation:

In order to get one of the answer choices, it appears we need to interpret your input as ...

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The value of n is 22.

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The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

8 0
3 years ago
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