Answer: 5x+16
Step-by-step explanation:
Distribute
2x+12 + 3x + 4
Add like terms
5x+16
The equation that models this situation is z = 7.9y + 12.
A linear equation is a function that has a single variable raised to the power of 1. An example is x = 4y + 2.
Where:
- 2 is the constant
- x = dependent variable
- y = independent variable
From the equation given, 12 would be the constant, the independent variable would be 7.9 and z would be the dependent variable.
z = 7.9y + 12
Here is the complete question: A barrel of oil was filled at a constant rate of 7.9 gal/min. The barrel had 12 gallons before filling began. write an equation in standard form to model the linear situation.
A similar question was answered here: brainly.com/question/2238405
Answer: see below
Step-by-step explanation:
3x-12=7x+8 ⇔ given
-12=4x+8 ⇔ addition property of equality
-20=4x ⇔ subtraction property of equality
x=-5 ⇔ division property of equality
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5(x-1)=4x+13 ⇔ given
5x-5=4x+13 ⇔ distributive property
x-5=13 ⇔ subtraction property of equality
x=18 ⇔ addition property of equality
Answer: 100 x 2^ t/9
Step-by-step explanation:
Answer:
53 teachers
Step-by-step explanation:
Basically, what we need to do here is to find how many teachers there need to be, first. If there are 6,734 students in the school district and if maximum class size is 25, then the number of teachers needed is:
6,734 / 25 = 269.36
Of course, it's obvious that we can't have a decimal number of teachers, so we need to find integer (269 or 270).
If we take 269 teachers and 25 students per class, we get:
269 • 25 = 6,725 students, which is not enough, since there are 6,734 students.
That means that the number of teachers needed is 270.
It is given that there are already 217 teachers, meaning that 270-217=53 teachers have to be supplemented.
