Answer:
the area of the given figure is 79 sq.yd
Step-by-step explanation:
total area =
area of square + area of rectangle
=》(8×8) + (3×5)
=》64 + 15
=》79 yd^2 or 79 sq.yd
The system of inequalities that correctly represents this scenario is given by:
.
.
<h3>What is a system of inequalities?</h3>
A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of nachos sold.
- Variable y: number of popcorn sold.
The manager of the stand expects sales of a minimum of 100 items, hence:
.
The concession stand at a local high school sells nachos for $4 each and popcorn for $2 each. The manager wants a total of at least $225, hence:
![4x + 2y \geq 225](https://tex.z-dn.net/?f=4x%20%2B%202y%20%5Cgeq%20225)
More can be learned about a system of inequalities at brainly.com/question/3656398
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Answer:
a. x=8
b.Step 1: Simplify both sides of the equation.
2(2x−2)=4x−4
(2)(2x)+(2)(−2)=4x+−4(Distribute)
4x+−4=4x+−4
4x−4=4x−4
Step 2: Subtract 4x from both sides.
4x−4−4x=4x−4−4x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Answer:
All real numbers are solutions.
c. Step 1: Simplify both sides of the equation.
3(x+1)=4x+7−x
(3)(x)+(3)(1)=4x+7+−x(Distribute)
3x+3=4x+7+−x
3x+3=(4x+−x)+(7)(Combine Like Terms)
3x+3=3x+7
3x+3=3x+7
Step 2: Subtract 3x from both sides.
3x+3−3x=3x+7−3x
3=7
Step 3: Subtract 3 from both sides.
3−3=7−3
0=4
all credit goes to mathpapa
-18? I didn’t know - numbers were squared..
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