Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u /> (Angle Sum Property Of Triangles)
(Remove the brackets)
<u /><u />
(Group Accordingly)
<u /><u />
=
=
=
=
=
=
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
The cost of one roll of plain wrapping paper is $5 and one roll of shiny wrapping paper costs $16.
Step-by-step explanation:
Step 1; Assume that the cost of one roll of plain wrapping paper is $x and a roll of shiny wrapping paper costs $y. so we have the following equations from the given data
4x + 3y = 68, take this as equation 1.
9x + 2y = 77, take this as equation 2
Step 2; We multiply equation 1 with 2 and equation 2 with 3 so we can cancel out the variable y in both equations. By doing this we get
8x + 6y = 136, take this as equation 3,
9x + 2y = 77, this is equation 4.
If we subtract 4 from 3, we cancel out the y variable and can calculate the value of x.
-19x = -103 , x = = 5.
Step 3; Substituting this value of x in any of the previous equations we will get x's value. Here this value of y is substituted in equation 1.
4 (5) + 3y = 68, 20 + 3y = 68 , 3y = 48, y= 16.
So we have x = $5 and y = $16.
Answer:
8.4 dollars
Step-by-step explanation:
The error is in the resolution of the proportion. In fact, the initial proportion is correct:
where x is the total cost. However, the following step of the resolution is wrong. In fact, the correct resolution is the following:
- Multiplying by x on both sides:
- Multiplying by 3.5 no both sides:
And now we can find x:
So, the total cost is 8.4 dollars.
For this case we have the following expression:
we observe that we have a polynomial of the second degree.
The constant term of the polynomial, is that coefficient that is not written accompanying a variable.
We have then that the constant term of the quadratic function is:
6
Answer:
the constant of the function is:
6