Answer: the original price of the skirt is $24
Step-by-step explanation:
Let x represent the original price of the skirt. if the original price of the blouse is 18, then the original price of the skirt and blouse is (x + 18)
Jade buys a blouse and a skirt for 3/4of their original price. It means that the amount at which she bought the skirt and blouse is
0.75(x + 18)
Applying the distributive property, it becomes
0.75x + 13.5
Jade pays a total of 31.50 for the two items. It means that
0.75x + 13.5 = 31.5
0.75x = 31.5 - 13.5
0.75x = 18
x = 18/0.75
x = $24
Answer:
vertex is at (0,0)
Step-by-step explanation:
Find the vertex of the parabola y = 8x2.
I assume you meant y = 8* x^2
this can be compared to the general vertex form y = a (x - h)^2 + k
where vertex at (h, k)
so then...
h =0 and k = 0 here
vertex is at (0,0)
Answer:
86
Step-by-step explanation:
(2+2=4) 4 to the 3rd power is 64. 150 minus 64 is 86
Answer:
yes
Step-by-step explanation:
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
