Answer:
- linear equation
- all variables are to the first power
Step-by-step explanation:
"Linear equation" is another way to say "first-degree equation." That is, the equation involves constants and variables to the first degree only. No term contains any product or ratio of variables.
A term is first degree when the sum of all of the exponents of the variables is 1, and all exponents are positive integers. That is, the only allowed exponent of the single variable in a term is 1.
Here, the term on the left side of the equal sign has x to the first power. The term on the right side of the equal sign has y to the first power. Both are linear terms, so this is a linear equation.
Answer:
x = - 4
Step-by-step explanation:
Answer:

or

Step-by-step explanation:
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is

Convert mixed number to an improper fractions


Substitute in the expression above

solve for x
Multiply by (4*6) both sides to remove the fractions

Combine like terms left side

subtract 46 both sides


Divide by 24 both sides

simplify

Convert to mixed number

Answer:
36, 6, 49, 7, 6, 7
Step-by-step explanation:
Just like the last one! The key is to think about the perfect squares closest to the number being asked about. For 47, these are 36 and 49, which have square roots of 6 and 7 respectively, so you know it must be between 6 and 7.
Answer:
37
The maximum number of people who could fit in this room is 37
Step-by-step explanation:
Given;
The area of a room A = 9 × 10^4 square inches
Minimum Area needed per person M = 2.4×10^4 square inches
The maximum number of people who could fit in this room is;
N = The area of a room A/Minimum Area needed per person M
N = A/M
Substituting the values;
N = 9×10^4 ÷ 2.4×10^3
N = 37.5
Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.
N = 37
The maximum number of people who could fit in this room is 37