You are leaving for a party at your cousin’s house in a city that is 150 km away. you will travel at an average rate of 50 km/hr. if you need to be at the party in 2.5 hours, how fast would you need to drive to get there?

If you travel at a constant rate, the equation which describes your traveling is

where s is the space traveled, v the velocity you're traveling at, and t is the time passed traveling.

You know the distance and the time, so let's solve the equation for speed:

So, if you plug the values, you have

So, you need to travel at an average speed of 60km/hr to be at the party in 2.5 hours. If you travel at an average speed of 50km/hr, you'll be there in three hours

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.