Which equation is the correct translation of the following statement?

What is the average ticket price for all tickets sold that day?

schepotkina [342]

<span>What is the average ticket price for all tickets sold that day is $4</span>

3 0

2 years ago

Mary walks from corner D to corner E to corner F on a city block that measures 264 feet wide and 900 feet long. Kate walks diago

Kaylis [27]

Step-by-step explanation:

we have a rectangle, that is then cut in half diagonally into 2 right-angled triangles.

in our problem it does not matter which side is the larger and which is the shorter one, because the distance calculation for both cases involve one short and one long side. the sequence does not matter.

Mary walks one short and one large side to get to the opposite corner (from D to F) :

264 + 900 = 1,164 ft

Kate walks diagonally. and that diagonal is the Hypotenuse of the right-angled triangle with a short and a long side of the rectangle.

so, Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), and a and b are the legs.

in our case that means

diagonal² = 264² + 900² = 69,696 + 810,000 =

= 879,696

diagonal = sqrt(879,696) = 937.9211054... ft ≈ 938 ft

so, Kate walked

1,164 - 938 = 226 ft

less than Mary.

4 0

1 year ago

Lisa has a home-based business making and selling scented soaps. She intially spent $72 to purchase soap-making equipment, and t

mojhsa [17]

Answer:

Step-by-step explanation:

Let x represent the number of pounds of soap that she makes and eventually sells.

She intially spent $72 to purchase soap-making equipment, and the materials for each pound of soap cost $7. This means that the total cost of making x pounds of soap would be

7x + 72

Lisa sells the soap for $10 per pound. This means that her revenue for x pounds of soap would be

10 × x = 10x

If she eventually sells enough soap to cover the cost of the equipment, then

7x + 72 = 10x

10x - 7x = 72

3x = 72

x = 72/3 = 24

She would need to sell make and sell 24 soaps.

The cost would be

72 + 7 × 24 = $240

The total sales would be

10 × 24 = $240

5 0

3 years ago

The base of a circular fountain has a radius of 3.5 feet. What is the approximate circumference of the base of the fountain?

vagabundo [1.1K]

Answer:

circumference = 21.98 feet

Step-by-step explanation:

circumference = 2 x R x π = 2(3.5)(3.14) = 21.98 feet

5 0

3 years ago

Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the

kicyunya [14]

Answer:

S 75°E

S 55°E

Step-by-step explanation:

Take the law if sines of a triangle:

$\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}$

Where,

a = 28 miles

B = 25°

b = 12 miles

First solve for A, using the law of sines:

$\frac{a}{sinA} = \frac{b}{sinB}$

$\frac{28}{sinA} = \frac{12}{sin25}$

Cross multiply:

$28 sin25 = 12 sinA$

$11.83 = 12 sinA$

$Sin A = \frac{11.83}{12}$

$Sin A = 0.986$

$A = sin^-^1(0.986)$

$A = 80.44 degrees$

Since A = 80.44° find A supplement, A`:

A` = 180 - 80.44

A` = 99.56°

If A` + B < 180°, find C.

Thus,

A` + B = 99.56 + 25 = 124.56

We can see that A` + B < 180

Find C:

C = 180 - (80.44+25) = 74.56° ≈ 75°

C` = 180 - (99.56+25) = 55.44° ≈ 55°

Rewrite in bearing form:

S 75°E

S 55°E

5 0

2 years ago