Answer:
14 month
Step-by-step explanation:
Lets create equations for these two gyms. I believe this is an algebra 1 problem.
Community Gym: y=70x+50
Workout Gym: y=60x+190
Because both gyms are equal to y, we can set them together and solve for x.
70x+50=60x+190
10x=140
x=14
You can find the cost by plugging in 14 into both of the equations. You get a cost of $1030 after 14 months
Therefore, after 14 months you will have paid the same amount for both gyms.
Equation of this circle is
x^2 + (y - 2)^2 = 36
y = 2.5x + 2
Substitute for y in the equation of the circle:-
x^2 + (2.5x + 2 - 2)^2 = 36
x^2 + 6.25x^2 = 36
x^2 = 36 / 7.25
x = +/- 6 / 2.693 = +/- 2.228
when x = 2.228 y = 2.5(2.228) + 2 = 7.57 to nearest hundredth
when x = -2.228 y = 2.5(-2.228) + 2 = -3.57
So they intersect at 2 points but the intersect in the first quadrant is at (2.23, 7,57) to nearest hundredth.
Answer:
2 animals
Step-by-step explanation:
Number of animals=40
Fraction of fish=3/4
=>number of fish=3/4*40=30
Fraction of cats=1/5
=>number of cats=1/5*40=8
Animals which are not cats or fish are=total number of animals-(number of cats + number of fish)
Animals which are not cats or fish=40-(8+30)
40-38
2 animals
Answer:
6.7 units
Step-by-step explanation:
The distance between two points can be found using the formula below:
Thus, distance between (-1, 2) and (2, -4)
![= \sqrt{( - 4 - 2)^{2} + { [2-(-1) ]}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%28%20-%204%20-%202%29%5E%7B2%7D%20%2B%20%20%7B%20%5B2-%28-1%29%20%5D%7D%5E%7B2%7D%20%20%7D%20)
= 6.7 units (nearest tenth)
Additional:
For a similar question on distance between points, do check out the following!
Answer:
ED = 6
Step-by-step explanation:
Use Pythagorean theorem to find the length of BE
100-64=x^2
x=6
because triangle BEA, and triangle DEA are congruent, the measure of BE, and DE are the same because of CPCTC
BE=DE=6
