Y=-4x -3.......................
<em>$650</em>
- Step-by-step explanation:
<em>90% .............. $585</em>
<em>100% ............ $ x</em>
<em>x = 100×585/90</em>
<em>= 58500/90</em>
<em>= $650</em>
Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
- One solution ⇒ 2 intersected lines at a point
- An infinite number of solutions ⇒ same line
- No solution ⇒ 2 parallel lines
If a system has at least one solution, it is called consistent
- If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a point
- If a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same line
If a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
Answer:
3 sides - Triangle.
4 sides - Quadrilateral.
5 sides - Pentagon.
6 sides - Hexagon.
7 sides - Heptagon.
8 sides - Octagon.
9 sides - Nonagon.
10 sides - Decagon.
Step-by-step explanation:
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