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3 years ago

Man Street Florist charges

Mathematics

1 answer:

Digiron [165]3 years ago

6 0

Answer:

2 dozens, $41

Step-by-step explanation:

Given data

Man Street Florist charges

$18 for a dozen roses and a

$5 delivery fee

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 18x+5--------------1

Blooms and Bouquets

charges $20 for a

dozen roses and a $1

delivery fee.

let the number of dozens be x

and the total charge for x dozens be y

hence

y= 20x+1 -------------2

Equate 1 and 2 we have

18x+5=20x+1

20x-18x= 5-1

2x= 4

x= 4/2

x= 2

Hence the number of dozens is 2

the cost is (put x= 2 in eqn 1 or 2)

y= 20(2)+1

y= 40+1

y= $41

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Answer:

area is equal to 198 cm^2

Step-by-step explanation:

the height h of the left triangle can be obtained by

Pytagoras theorem:

$5^2+h^2=13^2\\25+h^2=169\\h^2=169-25\\h^2=144\\h=\sqrt{144} \\h=12$

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Step-by-step explanation:

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Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

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B: is the distance between the wall and the ladder (base) = 6 ft

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First, we need to find the other side of the triangle:

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$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

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Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

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