At Wolf-M-Up, Cost = 17.50 + 2.25(number of days)
At Fangs-R-Us, Cost = 24.25 + 1.5(number of days)
The costs are the same when [ 17.50 + 2.25 D = 24.25 + 1.5 D ].
Subtract 1.5D from each side: 17.50 + 0.75 D = 24.25
Subtract 17.50 from each side: 0.75 D = 6.75
Divide each side by 0.75 : <em>D = 9 days</em>
Substitute 9 for the number of days at either company,
and the cost is<em> $37.75</em> .
If you only want the wolf for a few days, then Wolf-M-Up is cheaper.
If you plan to keep it for more than 9 days, then Fangs-R-Us will cost less.
For exactly 9 days, both wolves will cost the same $37.75 .
Answer:
Ben
Step-by-step explanation:
25 goodies = 20 minutes
27 goodies = 24 minutes
Let's use ratio, divide both of them by their minute
25/20 = 20/20
27/24 = 24/24
1.25 goodies = 1 minute
1.12 goodies = 1 minute
1.25 is bigger than 1.12.
Answer:
15°
Step-by-step explanation:
Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)
The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.
Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°. Angle PQC has the same measure as angle RQC, so is 15°.
Angle PQC is 15°.
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Answer:
(x + 14)² + (y – 21/2)² = 1
Step-by-step explanation:
The equation of a circle can be written as seen below
(x – h)² + (y – k)² = r²
Where (h,k) is at the center and r = radius
We are given that the radius is 1
We are also given that the center is at (-14,21/2)
So we know that r = 1, h = -14, and k = 21/2
So to find the equation of the circle we simply substitute these values into the equation of a circle
Equation of a circle: (x – h)² + (y – k)² = r²
r = 1, h = -14, and k = 21/2
Substitute values
(x – (-14))² + (y – 21/2)² = 1²
1^2 = 1
The two negative signs before the 14 cancel out and it changes to + 14
The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1
