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nignag [31]
3 years ago
8

The rosebud flower shop has a basic delivery charge of $5 plus a rate of 25 cents per mile. The Beautiful Bouquets flower shop h

as a delivery charge of $7 plus a rate of 20 cents per mile. What is the number of miles a delivery must be for the charges to be the same. What is the price and mileage of that delivery?
Mathematics
1 answer:
babymother [125]3 years ago
4 0

The mileage is 12

and the price is $10

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The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle i
____ [38]

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

6 0
3 years ago
Abcdef is a regular hexagon what is its perimeter what is its area
Zanzabum

Answer:

p=36

a=3*\sqrt{3}*18

Step-by-step explanation:

p=sum of all sides

a=(3\sqrt{3}*s^{2})/2

5 0
3 years ago
Find the value of x.. is the answer 103? if not how do you figure it our
scoundrel [369]

The angle diagonal to 103° is equal to 103°.  So here's your equation:

(103+14x+7)°=180°

So now you can simplify:

110°+14x=180°

now subtract 110 on both sides

14x=70°

now divide by 14 on both sides

so the answer is x=5°

hope this helps


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3 years ago
Graph. (Shade. Dashed line. Solid line?)<br> x+3y≥3
Allisa [31]

Answer:

Since the graph looks like this, I would say solid line

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2 years ago
Find the solution to the following system of equations by using Substitution. To receive full credit, substitution must be used
Sever21 [200]

Answer:

see the attached picture.

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3 years ago
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