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lys-0071 [83]
2 years ago
7

Helene spends 15% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.

Mathematics
1 answer:
a_sh-v [17]2 years ago
8 0

Answer:

15% = 0.15

15% = \frac{15}{100}

Step-by-step explanation:

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The area of a rectangle is x2 - 2x - 15 and the length of the rectangle is x + 3. Find the width of the rectangle.
Vesnalui [34]
Area of the rectangle= L* w
x^{2} -2x-15
On expanding;
x^{2} -5x+3x-15
=x(x-5)+3(x-5)
=(x+3)(x-5)
The width is (x-5)
3 0
3 years ago
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On a long-distance biking trip, Annike started biking at 7 a.m., and her average speed was 11 miles per hour. Celia started at 8
vitfil [10]

Answer:

  2:40 p.m.

Step-by-step explanation:

Annike's 11-mile head start is being made up by Celia at the rate of 3 miles per hour. It will take Celia 11/3 = 3 2/3 hours to catch Annike. 3 hours and 40 minutes after 11 a.m. is 2:40 p.m..

Celia and Annike will both have completed 51 1/3 miles at 2:40 p.m..

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  distance = speed×time

Annike: 11 mph × 4 2/3 h = 51 1/3 mi

Celia: 14 mph × 3 2/3 h = 51 1/3 mi

7 0
3 years ago
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I have a diameter of 45 in, what is the radius ?
Svetlanka [38]

Answer:

r = 22.5in

Step-by-step explanation:

d = 2r \\ 45 = 2r \\  \frac{45}{2}  =  \frac{2r}{2}  \\ r = 22.5in

5 0
3 years ago
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The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the
Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

V=\frac{1}{3}\pi r^2h, where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is \frac{7}{2} cm.

V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}

V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}

V=\frac{490\pi }{12}\text{ cm}^3

V=128.2817\text{ cm}^3

Upon rounding to nearest tenth, we will get:

V\approx 128.3\text{ cm}^3

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0
3 years ago
Please help me and explain this.
Zina [86]
You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

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