Answer:
The answer is 
Step-by-step explanation:
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
Subtract
from each side to single out one variable to one side

Now, we can plug in our value for x into the given equation
Open the parentheses

Merge Y values

Separate numerical values from variables

Divide by 10.8 in order to have a coefficient of 1
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

Open parentheses

Single out the variable

Divide by 5 to have a coefficient of 1 before x


Answer:
$95.38
Step-by-step explanation:
step 1
Find the area of one button
The area is equal to

we have
---> the radius is half the diameter
Convert to meters

assume

substitute

step 2
Find the area of 1,00 buttons
Multiply by 1,000

step 3
Find the cost
Multiply $15 per square meter by the total area of 1,000 buttons

Answer:
There's no direct variation
Step-by-step explanation:
Required
Determine if there's a direct variation between the number and its position
I'll start by giving an illustration of how the triangle is represented using stars (*)
*
**
***
****
*****
Represent the line number with y and it's position with x
On line 1:
y = 1, x = 1
On line 2:
y = 2, x = 3
On line 3:
y = 3, x = 6
On line 4:
y = 4, x = 10
On line 5:
y = 5, x = 15
Note that, x is gotten by calculating the accumulated number of stars while y is the line number.
Direct variation is represented by
y = kx
Or
kx = y
Where k is the constant of variation
For line 1:
Substitute 1 for y and 1 for x
k * 1 = 1
k = 1
For line 2:
Substitute 2 for y and 3 for x
k * 3 = 2
Divide through by 3
k = ⅔
Note that the values of k in both computations differ.
This implies that there's no direct variation and there's no need to check further.
Answer:
c. y = -35*x + 105
Step-by-step explanation:
Lo que demos hacer es calcular los puntos cuando x = 0 y cuando x = 3, es decir el inicio y el fin del recorrido.
Cuando x es igual 0, y = 105, por lo tanto, la función sería:
y = A*x + 105
Cuando x = 3, y = 0, por lo tanto:
0 = 3*A + 105
resolvemos para A:
3*A = -105
A = -105/3
A = -35
Por lo tanto la función es:
y = -35*x + 105
es decir, la opción c.