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egoroff_w [7]
2 years ago
13

film processing costs $4.95, plus $0.35 for each picture printed. Milan paid $11.95 for processing and printing. How many pictur

es did he have printed?
Mathematics
1 answer:
xenn [34]2 years ago
7 0

Answer:

20 pictures.

Step-by-step explanation:

In this question, we need to find out how many pictures Milan printed.

We know that the film processing costed $4.95 and each picture that was printed costed $0.35.

Lets turn this into an equation with x representing the amount of pictures:

y = 0.35x+ 4.95

Now we need to solve the equation. We can do this by plugging in our known cost, 11.95, into "y".

Solve:

11.95 = 0.35x + 4.95

Subtract 4.95 from both sides.

7 = 0.35x

Divide both sides by 0.35

20 = x

Milan printed 20 pictures.

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4 0
3 years ago
Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles. explain
ehidna [41]

Given sides of length 300 mm or 190 mm, you can form 4 different triangles:

  1. equilateral with sides 190 mm
  2. equilateral with sides 300 mm
  3. isosceles with two sides 190 mm and one side 300 mm
  4. isosceles with two sides 300 mm and one side 190 mm

The triangle inequality requires the sum of the lengths of any two sides be not less than the length of the third side. Since 2×190 > 300, you can mix and match these side lengths any way you want. With three sides and 2 choices for each, there are only a limited number of possibilities.

In the above, we have not listed ones that are simply rotations or reflections of a congruent triangle. (A 190-190-300 triangle looks the same as a 190-300-190 triangle, for example.)

6 0
2 years ago
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3 years ago
(Please Answer Quickly)
iren2701 [21]
For an airplane we need to create a function. The airplane flies in straight line so this means that we will have linear function. The airplane starts left of the rainbow. So let's take the following function:
y=x+8

"<span>Create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow."
To find the intersection points we need to solve system of two equations:
</span>y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
Now we can create a table
x        -1    0     1    2
f(x)    35    36   37  38    
<span>

"</span><span>What is the domain and range of the rainbow? Explain what the domain and range represent. Do all of the values make sense in this situation? Why or why not?"

The domain represents all possible values that x can have. The range represents all possible values that y can have.
In this example not all values make sense. Rainbow goes above ground and touches it.
Limitations exist if we have fraction, root, logarithm, trigonometric function... We do not have any of these so there are no limitations, so x can have any value.
Domain:  -6</span>≤x≤6   because x can not have smaller values than those at ground touch.
The formula for parabola is:
y=a x^{2} +b
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Range: 0≤y≤36     because y can not have smaller values than those at ground touch.

"<span>What are the x- and y-intercepts of the rainbow? Explain what each intercept represents."
x- and y- intercepts represent points at which function touches x- and y- axis.
To find y- intercept we insert x=0 into equation:
y=0+36
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To find x- intercept we insert y=0
0=-</span>x^{2}+36
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"<span>Is the linear function you created with your table positive or negative? Explain."

Function is positive if it lies above x-axis. Function is negative if it lies below x-axis.
Positive on interval:  x </span>∈ <-6,∞>
Negative on interval: x ∈ <-∞,-6>
Not defined: x= -6


"What are the solutions or solution to the system of equations created?Explain what it or they represent."

We already found these solutions:
y=- x^{2} +36 \\ y=x+36
Solution are two points:
(-1,35) and (0,36)
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"Explain, using complete sentences, the steps for graphing the function."

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Step 2) we need to find x- and y- intercepts
Step 3) if the function is exponential we find minima and maxima
Step 4) we find at least three values for the function

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⇒x = 8 km/hr

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