For each ounce of the product, let
x = ounces of moisturizing lotion used,
y = ounces of self-tanning lotion used.
The sum of the two lotions per ounce is equal to one ounce. Therefore
x + y = 1 (1)
Moisturizing lotion costs $0.70 per ounce.
Self-tanning lotion costs $22 per ounce.
Because the product costs $1.30 per ounce. Therefore
0.70x + 22y = 1.30 (2)
From (1), obtain
y = 1 - x (3)
Substitute (3) into (2).
0.70x + 22(1 - x) = 1.30
0.70x - 22x + 22 = 1.30
-21.3x = -20.7
x = 0.9718 ounces
From (3), obtain
y = 1 - 0.9718 = 0.0282 ounces.
A batch of the product is 700 ounces. Therefore the amount of self-tanning lotion used is
700*y = 700*0.0282 = 19.74 ounces
Answer: 19.74 ounces
Answer:
yee
Step-by-step explanation:
Selection C is appropriate.
_____
Whenever you solve for something, consider what operations are done to that something. Undo them in reverse order.
Here, "a" is
• multiplied by 2
• has -b^2 added
The last operation is adding -b^2, so we undo that first. We undo it by adding its opposite, b^2.
.. x +b^2 = 2a -b^2 +b^2
.. x +b^2 = 2a . . . . . . . . . . . the point is to cancel the -b^2 term on the right.
The operation before that is multiplying "a" by "2". We undo that by multiplying by the reciprocal of 2, which is 1/2.
.. (1/2)*(x +b^2) = (1/2)*2a
.. (x +b^2)/2 = a . . . . . . . . . the point is to cancel the multiplication by 2 on the right.
You will note this matches answer selection C.
Answer:
117,649a^8c^2
Step-by-step explanation:
(7^3 a^4 c) ^2
= 7^(3*2) a^(4*2) c^2
= 7^6a^8c^2
= 117,649a^8c^2
Answer:
When x = -2 P ( -2 ; 5)
When x = -1 Q ( -1 ; 2)
When x = 0 R ( 0 ; 1)
Step-by-step explanation:
y = x² + 1
When x = -2
y = ( -2)² + 1 y = 5 point P ( -2 ; 5)
When x = - 1
y = ( -1)² + 1 y = 2 point Q ( -1 ; 2 )
When x = 0
y = (0)² + 1 y = 1 point R ( 0 ; 1 )
