Part A
Write two different, equivalent expressions for how much the rosebush will cost if the coupon.is
applied first and the 10% discount second.
Part B
Write an expression for how much the rosebush will cost if the 10% discount is applied first and
the coupon is applied second.
Part
Which order will save Marina more money? Explain your reasoning.
Answer:
Part A: 0.9d - 4.5
Part B: 0.9d - 5
Part C: Order that will save Marina money is "discount applied first, then coupon"
Step-by-step explanation:
Part A
The rosebush costs "d" dollars
Coupon = $5 OFF
Discount = 10%
We want to find cost of rosebush when COUPON APPLIED 1st and DISCOUNT APPLIED 2nd.
Cost = d
Coupon Applied Cost = (d - 5)
Discount Applied Cost = 10% off means 100 - 10 = 90% of the price remains, that is 90/100 = 0.9 times the price, so:
0.9(d - 5) = 0.9d - 4.5
Part B
When we apply 10% discount to the initial price of "d", we get 90% of the price remaining.
So, price would be:
Normal Price = d
Discount Price = 0.9d
Now, coupon applied of $5, we get:
0.9d - 5
Part C
We have two expressions, let the original price, d, be 100, so
Part A price would be 0.9d - 4.5 = 0.9(100) - 4.5 = 85.5
Part B price would be 0.9d - 5 = 0.9(100) - 5 = 85
So, Marina will save up money going on the 2nd option.
Order that will save Marina money is "discount applied first, then coupon"
x+10=114
114-10=x
x=104
answer: n + 10 = 114 (n = 104 if this is needed)
work:
let's analyze the equation.
a number increased by 10 is 114
let's use n to represent this number.
a number increased by 10 is 114
let's add 10 to our number, n + 10
a number increased by 10 is 114
so, our equation equals 114. n + 10 = 114.
to find n, just subtract 10 from 114.
114 - 10 = 104
so, that completes and solves your equation, hope this helps and have a great day!
ground. To avoid making it too difficult to push a
motorcycle up the ramp, Jessie decides to make the
angle between the ramp and the ground 159. To the
nearest hundredth of a foot, find the length of the
ramp.
A. 10.82 feet
B. 2.90 feet
C. 0.72 feet
D. 10.45 feet
Answer:
A. 10.82
Step-by-step explanation:
When using trigonometry to solve for the length of a ramp given the height of the trailer and the angle of the ramp, we use the sine of the angle, defined as the ratio of opposite side to the hypotenuse. The length of the ramp, or hypotenuse, was found to be approximately 0.72 feet.
This question is about trigonometry, a branch of mathematics that deals with the relationships between the sides and angles of triangles. In this case, we are given the height of the trailer (2.8 feet) and the angle between the ramp and the ground (159 degrees).
We are asked to find the length of the ramp, which is the hypotenuse of the triangle formed by the ramp, the ground, and the trailer. This can be found by using the sine of the angle, defined as the ratio of the opposite side (the height of the trailer) to the hypotenuse (the ramp length).
Using the equation sin(159) = 2.8 / ramp-length and solving for ramp-length by multiplying both sides by ramp-length and then dividing by sin(159), we find that the length of the ramp is approximately 0.72 feet.
So, the correct answer is C. 0.72 feet.
#SPJ11
30 degree drop in 6 hours
Answer:
It dropped 5 degrees every hour