MATHEMATICS HIGH SCHOOL

System of equations PROBLEM/QUESTION:
A school band ordered hats for $3 and large T-shirts for $5. They bought 150 items in all for $590. Graph a system of equations to find how many hats and T-shirts the band ordered.

**PLEASE HELP I DONT UNDERSTAND SYSTEM OF EQUATIONS

Answers

Answer 1
Answer:

The number of hats ordered is; 80 and the number of shirts ordered is; 70.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given that  the Cost of hats = $3

The Cost of shirts = $5

The total cost of all the items = $590.

Total number of items bought = 150 items.

Let us assume that the number of hats ordered be x.

The number of shirts ordered be y

The equation can formed as;

x+y = 150  -------(1)

3x+5y = 590  ---------(2)

Multiply and subtract eq(2) from eq(1),

3x+3y = 450

-(3x+5y = 590)

    -2y = - 140

y = 140/2

y = 70.

Thus, the number of shirts ordered is; 70.

Now Substitute y=70 in eq(1),

x+70 = 150

x = 150-70

x = 80.

Thus, the number of hats ordered is; 80.

Learn more about equations here;

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Answer 2
Answer: You would make a system of equations, so the first would be "x+y=150" (x is the number of hats and y is the number of shirts). The second equation would be "3x+5y=590". You would solve the system by either substitution, elimination, or graphing it. 
   If you do it by substitution, you would solve one equation for either variable (the first equation would be easier to solve for either variable) and plug it into the other equation and solve it. So it would look like:  y=150-x      3x+5(150-x)=590    
   If you did it by elimination, you would line the variables in the equations up and make one variable (We'll use x) the opposite of the same variable in the other equation and add the equations together to make the chosen variable cancel out so you could solve for the other variable. So it would look like:   3x+5y=590
                                                                                           + -5x- 5y=-150
                                                                                         -----------------
                                                                                            -2x=440
                                                                                              x=-220
After you do that, you would plug that answer into one of the original equations and solve for the other variable. So it would look like:   -220+y=150
                                                                                     y=370
   If you did it by graphing you would simply graph both equations on the same graph and the point that they intersect at would be your answer.

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Answers

Answer:

22

Step-by-step explanation:

Latisha earns $5 an hour painting her neighbor's fence. Write an equation to represent the relationship between the two variables.

Answers

1 Hour = $5 OR H =$5

What are the values of x in the equasion x(x-6)=4(x+6)

Answers

x(x - 6) = 4(x + 6)
x^2 - 6x = 4x + 24
x^2 - 6x - 4x - 24 = 0
x^2 - 10x - 24 = 0
(x - 12)(x + 2) = 0
x = -2, 12

The answer is: x = -2 and x = 12.
The answer is 2(8-6)=4(-4+6)

A hummingbird is flying toward a large tree that has a radius of 6 feet. When it is 33 feet from the center of the tree, its lines of sight form two tangents. What is the measure of the arc on the tree that the hummingbird can see?

Answers

Answer:

Length of the arc = 5.25017 feet

Step-by-step explanation:

The line from the middle of the tree to the tip of the tangent lines is 33 ft and from the circumference of the tree its 27ft. One of the right angle triangles is picked and the angle is determined using SOHCAHTOA

Hence Tan X = 6/27

X = Tan-1 (6/27) = 12.52880770915o

Hence both sum of angles where tangent lines meet = 2 x 12.52880770915o = 25.05761541830o

Angle of the arc inside the circle = 50.115o

Length of the arc = 50.115/360 x (2x22/7 x 6) = 5.25017040025ft

Which of these nonterminating decimals can be converted into a rational number? Option 1: 00.818118111. Option 2: 0.020304050. Option 3: 00010110111. Option 4: 00.321321321.

Answers