Answer:
110 test
Step-by-step explanation:
Let
x ----> the number of packet of 10 test
y ----> the total cost
we know that
The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151
so
The linear equation that represent this scenario is

we have

substitute

Solve for x
subtract 30 both sides


Divide by 11 both sides

The number of packets purchase was 11
To find out the number of test, multiply the number of packets by 10

Answer:
y = -5x + 4/3
Step-by-step explanation:
m is the slope and b is the y intercept. m= -5 so -5 is the slope and b= 4/3 so 4/3 is the y intercept.
Answer:
The estimated area is 
Step-by-step explanation:
we know that
To estimate the area that Ivan will paint , calculate the area of one wall and then multiply by 3
step 1
Convert the dimensions to an improper fractions


step 2
Find the area of one wall

step 3
Multiply the area of one wall by 3

step 4
Convert to mixed number

Given:
LMN is an equilateral triangle.
LM = LN = MN = 12 cm
To find:
The height of the triangle h.
Solution:
In a right angle triangle,



Multiply both sides by 12.


Therefore, the height of the triangle is
cm.
Answer:
y = -1/3x - 5
Step-by-step explanation:
Use rise over run to find the slope: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(-7 + 3) / (6 + 6)
-4 / 12
= -1/3
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
-3 = -1/3(-6) + b
-3 = 2 + b
-5 = b
Plug in the slope and b into y = mx + b
y = -1/3x - 5 is the equation of the line