PLEASE HELP

1 answer:

3 0

Let's begin by putting together some equations:

Seth has charges $39 and then $13 per hour. Since "hour" is our variable, let's write that as $13h where h = the number of hours.

Seth = 39 + 13h, $39 plus $13 times the number of hours

Malcolm charges $55 and then $11 per hour. So:

Malcolm = 55 + 11h, $55 plus $11 times the number of hours

Our goal is to find out how many hours both have to work before they charge the same amount. So let's set our Seth and Malcolm equations equal to one another.

39 + 13h = 55 + 11h, because we want to solve for h to see the number of hours.

First let's subtract 39 from each side:

(39 + 13h) - 39 = (55 + 11h) - 39
13h = 16 + 11h

Now let's subtract 11h from each side:

(13h) - 11h = (16 + 11h) - 11h
2h = 16

Simplify and solve for h by dividing each side by two:

(2h)/2 = (16)/2
h = 8

So Malcolm and Seth would have to work for 8 hours before both earn the same amount. After 8 hours, Seth would earn more than Malcolm. Before 8 hours, Malcolm would earn more than Seth.

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Store A and it would cost $32.40 (answer choice A)

Step-by-step explanation:

Let's start by studying how much she would pay for a single balloon on each store:

In store A: (5 balloons for $6) then per each balloon: $6/5 = $1.2 per balloon.

In store BA: (13 balloons for $16.25) then per each balloon: $16.25/13 = $1.25 per balloon.

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3 years ago

the angle θ is 7.2 degrees, and the circle arc s is 800 km. knowing that there are 360 degrees in a full circle what is the circ

kumpel [21]

The earth is 40000 kilometers around. There is no need to round off because the circumference already contains significant figures.

How do I calculate a circle's circumference?

A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).

Given: theta angle (central) = 7.2°; arc length S = 800 km

This indicates that an 800 km long arc is extending a circle with a 7.2° center angle ( earth in this case).

By definition, "An arc's length is a portion of a circle's diameter."

Therefore, we must first establish what percentage of the circle the specified arc length represents.

360° is a complete circle.

Thus, the fraction equals 7.2°/360°, or 1/50.

As a result, the stated arc length (800km) with a 7.2° central angle is 1/50th of the entire circle.

Thus, the whole circumference is 800 x 50, or 40000 km.

Alternately, you can calculate circumference using the formula below:

360° center angle x arc length as the circumference (theta)

Values substituted: circumference 800 = 360° 7.2°

circumference = 360°, 800°, and 7.2°, or 40000 kilometers