Answer:
J) 2.4
Step-by-step explanation:
8[6.3-4(1.5)] Simplify the expression 2.4
Answer:
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount Jonathan paid for the belt = $ 35
Discount = 1/3 off the regular price
Coupon = additional 8% = 0.08
2. How much did the Gucci belt cost Jonathan? Show your work or explain how you know.
We assume the question is asking for the original price of the belt, then we make this calculation:
Amount Jonathan paid for the belt = (Original price - Discount) - Coupon
Replacing with the values we know:
Original price = x
35 = (x - 1/3x) - 0.08x
35 = 2/3x - 0.08x
35 = 0.67x - 0.08x
35 = 0.59x
x = 35/0.59
x = 59.32
<u>The original price of the belt was $ 59.32 and Jonathan paid $ 35 for it.</u>
<span>We need to calculate noon sun angle. Noon sun angle is an angle at which sun-rays fall at noon on a given date.
</span>On September 22, the sun’s rays form a 90° angle at noon at the equator.
Formula for calculating noon sun angle is:
Noon_sun_angle = 90° - Zenith angle
We have complementary angles so we need to substract zenith angle from 90°.
The zenith angle is the distance between subsolar point (point where sun is at 90°) and the latitude of an observer. In our case this angle will have same value as latitude because subsolar point is at equator 0°. If our latitude and subsolar point are at same hemisphere we substract values. Otherwise we add values.
New Orleans, USA
Latitude = 30°
Noon_sun_angle = 90° - 30° = 60°
Helsinki, Finland
Latitude = 60°
Noon_sun_angle = 90° - 60° = 30°
Beth's speed was 60 mph.
<h3>
What is speed?</h3>
- The speed (commonly referred to as v) of an object in everyday use and kinematics is the magnitude of the change in its position over time or the magnitude of the change in its position per unit of time; it is thus a scalar quantity.
- The distance traveled by an object in a time interval is divided by the duration of the interval; the instantaneous speed is the limit of the average speed as the duration of the time interval approaches zero.
- Velocity is not the same as speed.
To find what was Beth's speed:
Beth's data:
- time = 2 hrs; rate = r mph; distance = r×t = 2r miles
Tim's data:
- time = 1 hr; rate = r-6 mph; distance = r-6 miles
Equation:
- distance + distance = 174 miles
So,
- 2r + r - 6 = 174
- 3r - 6 = 174
- 3r = 180
- r = 60 mph (Beth's rate)
- r-6 = 54 mph (Tims's rate)
Therefore, Beth's speed was 60 mph.
Know more about speed here:
brainly.com/question/4931057
#SPJ4
Answer:
I am pretty sure there are 10 people in line.
Since Ashley is the seventh person in line, we can deduce that <u><em>there are 6 people in front of her</em></u>.
Since the amount of people in front of her is "twice as many people as there are behind her," we can divide the value of the people in front of her in half to get the value of people behind her.
6/2 is 3, so <em>there are </em><u><em>3 people behind Ashley</em></u><em>. </em>
Now, lets add the amount of people in front of Ashley to the amount of people behind her. 3 + 6 = 9, and since Ashley is also in the line, we should add 1 to the sum.
9 + 1 = 10, so <u><em>there are 10 people in the line</em></u>.
