20 POINTS! PLATO HELP! NUTRITION CLASS!

nexus9112 [7]

I would think this is many solutions, the reason is because, there is no specific answer (y) so, x could be anything because it would have to equal to y, which could also be anything! I hope im right! Sorry if im wrong!

3 0

3 years ago

A certain company manufactures skateboards and rollerskates. It takes them 2 units of labor and 1 unit of materials to produce a

Alisiya [41]

Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.

Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;

2s + r = 30 ------(1)

Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;

s + 2r = 40 ------(2)

With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;

In equation (1), let r = 30 - 2s

Substitute for r into equation (2)

s + 2(30 - 2s) = 40

s + 60 - 4s = 40

Collect like terms,

s - 4s = 40 - 60

-3s = -20

Divide both sides of the equation by -3

s = 6.67

(Rounded up to the nearest whole number, s = 7)

Substitute for the value of s into equation (1)

2s + r = 30

2(7) + r = 30

14 + r = 30

Subtract 14 from both sides of the equation

r = 16

Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.

6 0

4 years ago

I will report you for any not serious answers, and the points will be taken away from you.

mezya [45]

Answer:

i don't think 3 works for x because the only solution for x was 8

Step-by-step explanation:

4 0

3 years ago

The center of an ice rink is located at (0, 0) on a coordinate system measured in feet. sandi skates along a path that can be mo

WARRIOR [948]

The answers to the question are are the equations

y = 0.08x²-1.6x+13

y = 0.08(x-10)²+5

<h3>How to solve for the system of equations</h3>

David starts at (20, 13) and skates along a path that can be modeled by a quadratic function with a vertex at (10, 5).

Vertex form of quadratic function is

y = $a(x-h)^2+k$

13 = a(x-10)²+5

let x = 20

a(20-10)²+5

13 = 100a + 5

take like terms

13 - 5 = 100a

8 = 100a

divide through by 100

a = 0.08

hence the equation would be

y = 0.08(x-10)²+5