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zlopas [31]
3 years ago
15

Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit

h the first gym after x months and spends the rest of the year, y months, with the second gym. The membership to the first gym costs $60 per month, while the membership for the second gym costs $50 per month. If she ended up spending a total of $660 over the course of the year, how much time did she spend at each gym?
Mathematics
1 answer:
denis23 [38]3 years ago
3 0

Answer:the spent 6 months at the first gym and 6 months at the second gym.

Step-by-step explanation:

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Write an equation in standard form for:
Tasya [4]
Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length. 
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.  
Therefore,
The equation would be:
x + x + y + y = P. 
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)








5 0
3 years ago
A triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5. What
krok68 [10]

The area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

In the question, we are given that a triangle is inscribed in a circle. The vertices of the triangle divide the circle into three arcs of lengths 3, 4, and 5.

We are asked for the area of the triangle.

Now, the circumference of the circle = 3 + 4 + 5 = 12 units.

The formula for the circumference is 2πr, which gives is:

2πr = 12,

or, r = 6/π.

The length of the arcs are proportional to its central angle, making the angles: 3θ, 4θ, and 5θ, which needs to sum up to 360°, giving us θ = 360°/12 = 30°.

Thus, the three arcs subtends angles of θ₁ = 3θ = 90°,θ₂ = 4θ = 120°, and θ₃ = 5θ = 150°.

The area of the circle can be calculated as:

Area = (1/2)r² sin θ₁ + (1/2)r² sin θ₂ + (1/2)r² sin θ₃ = r²/2(sin θ₁ + sin θ₂ + sin θ₃).

Substituting the values, we get:

Area = 36/2π²(sin 90° + sin 120° + sin 150°),

or, Area = 36/2π²( 1 + √3/2 + 1/2),

or, Area = 9/π²(3  + √3).

Thus, the area of the required triangle is <u>9/π²(3  + √3)</u> sq. units.

Learn more about a triangle at

brainly.com/question/13734546

#SPJ4

5 0
1 year ago
Which of the following expressions is equivalent to x+14−3x−27−11y
Mariana [72]

Answer:

The answer is D)-2x-11y-13

Step-by-step explanation:

5 0
2 years ago
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the dista
Yuki888 [10]
d=v \cdot t
d - distance
v - speed
t - time

Car A:
v_1 \\&#10;t_1=2 \\&#10;d_1=v \cdot 2=2 v

Car B:
15 mph faster than car A
v_2=v_1+15 \\ t_2=1.5 \\ d_2= (v_1+15) \cdot 1.5=1.5v_1 + 22.5

Both cars traveled equal distances:
d_1=d_2 \\&#10;2v_1 = 1.5v_1+22.5 \\&#10;2v_1-1.5v_1=22.5 \\&#10;0.5v_1=22.5 \\&#10;v_1=45 \\ v_2=45 + 15 =60

Car B traveled at the speed of 60 mph.
6 0
3 years ago
Krispy Kritters Cereal used to come in a
shtirl [24]

Answer:

1335cm³

Step-by-step explanation:

The question above says that,Krispy kritters cereal used to come in a box with a volume of 2,850 cm3. However, the krispy kritters co. Designed a new larger box 22.5 cm wide, 6.2 cm deep, and 30 cm high and we are now asked to find "How many more cubic centimeters will the new box hold than the old box?

Now we are all aware that the volume of a cube or cuboid(since its a box ) is length multipled by width multiplied by the height.

And we were given the new dimensions which are;

12.5cm wide

6.2cm deep and

30cm high

Apply this given figures in the formula above and we have:

V = 12.5 × 6.2 × 30

= 4185cm³( this is the volume of the box)

Therefore,the difference in volume between the new box and the old box is

4185 - 2850 = 1335cm³

5 0
3 years ago
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