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3 years ago

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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For brainiest:):):):):):):)

andrew-mc [135]

Answer:

15 = 0.025

16= 3 years

Step-by-step explanation:

15.

I=prt

15= (200)(r)(3)

200(3) = 600r

15 divided by 600r = 40 (0.025)

------------------------------------------------------

16.

I=prt

$t= \frac{I}{Ixp} \\t= \frac{90}{0.05x600} \\t= 3$

t= 3 years

5 0

3 years ago

Santo made 4 less than twice as many cupcakes as Lynn. Write an equation to represent the number of cupcakes that Santo made.

pickupchik [31]

Santo made 4 less than twice as many cupcakes as Lynn.

x * 2 - 4

5 0

3 years ago

Help me on this please

Butoxors [25]

Answer:

y=35x+50

35*8=280

280+50=330

yes there will be 10 dollars left

I hope this is good enough:

8 0

3 years ago

HELP PLEASE ITS DUE TODAY!!! Express 14 hours in 2 weeks as a unit rate

user100 [1]

Answer:

14/336 ----------> 0.41

Step-by-step explanation:

you substituto 2 week to 336 cause there are 336 hours in 2 weeks therefore 14/336 = 0.41

the unit rate is 14/336

7 0

3 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

3 years ago