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:
"associative"
Step-by-step explanation:
The associative property lets you change the grouping of terms of a sum or of a product.
___
For example, you can rewrite
(5 + 4·3) -2
as
5 + (4·3 -2)
but the associative property does NOT allow you to change the grouping to ...
(5 +4)·3 -2 . . . . . not a valid rewrite
(-1,2) is where it will intersect
Answer:
I would set this up as:
let: lesser number = x
greater number = 2x + 5
Restating the word problem:
lesser number + greater number = 38
x + 2x + 5 = 38
Solving: 3x + 5 = 38
- 5 -5
---------------
3x = 33
--- ---
3 3
x = 11
Substitution for the greater number:
2(11) + 5
22 + 5
27
Answer: 1⁵/₈ pints
Step-by-step explanation:
First can contained 3¹/₄ pints and second can contained 6¹/₂.
To make them equal, first find the different;
= 6¹/₂ - 3¹/₄
= 6.5 - 3.25
= 3.25
Divide this difference by 2;
= 3.25/2
= 1.625
= 1⁶²⁵/₁₀₀₀
= 1⁵/₈ pints
If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.