a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
Step-by-step explanation:
Step 1 :
Let x be the regular price of the pastry in the bakery
Percentage of discount = 25%
Amount of discount = 0.25 x
The expression to find the sale price of pastry = x - 0.25 x = 0.75 x
Step 2 :
Sale price of the pastry bought by Kimberly = $2.03 = 0.75 x
<u>To find the regular price</u>
0.75x = 2.03
x =
= 2.70
Regular price of the pastry bought by Kimberly = $2.70
Step 3 :
Answer :
a) The expression to find the sale price of pastry = 0.75 x
b) The regular price of the pastry bought by Kimberly = $2.70
Answer:
m = - 7.5
Step-by-step explanation:
Given
9 + m = 1.5 ( subtract 9 from both sides )
m = - 7.5
Number of muffins sold=9
and number of pizza pies sold=15
<span>a.
The radius of earth is about 6400 kilometers. Find the circumference of
a great circle.
Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km
b. Write an equation for the circumference of any
latitude circle with angle theta
As stated, </span><span><span>the
length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a
great circle of Earth times the cosine of the latitude angle</span>:
=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)
Answer: circumference = 40,212.39 cos(Θ) km
c. Which latitude circle has a
circumference of about 3593 kilometers?
Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km
=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad
Answer: 1.48
d. What is the circumference of
the Equator?
</span>
For the Equator Θ = 0°
=> circumference = 40,213.49cos(0°) km = 40,212.49 km
Answer: 40,212.49 km