Multistep Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.kimmi charges $2
2 answers:
Step-by-step explanation:
Consider the provided information.
Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.
Let x is the number of child, Sandy charges fixed fee of $10 and $5 for each child. Thus, the charges for one night is:
Kimmi charges $25 per night no matter how many children a family has. Thus, the charges for one night is:
Now we need to write an equation that would compare the two girls charges:
Thus, the required equation is .
Now we need to find how many children a family have in order to be the same charges.
For the same charges solve the equation as shown:
So, the number of children has to be 3 for same charge.
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The other number is -3.
Step-by-step explanation:
Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows
The quotient of is 0. So
= 0.
Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.
= 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x =
= -3.
So the other number is -3.
9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
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Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D