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Sophie [7]
2 years ago
5

1 point

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

The answer is 0.71 per ounce.

Step-by-step explanation:

You can use proportions to solve this.

\frac{89.95 dollars}{64lb} = \frac{1 dollar}{x} \\64 * 1 = 64\\89.95 * x = 89.95x\\\\\frac{64}{89.95} = \frac{89.95x}{89.95}\\\\0.7115063924 = x\\Which when rounded to the nearest hundredths is:\\0.71

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What are the solution(s) to the quadratic equation 40 - x2 = 0?
Zanzabum

Answer:

  x=\pm2\sqrt{10}

Step-by-step explanation:

You want to solve ...

  40 -x^2=0\\\\40=x^2\qquad\text{add $x^2$}\\\\\pm\sqrt{40}=x\qquad\text{take the square root}\\\\\boxed{x=\pm2\sqrt{10}}\qquad\text{simplify}

5 0
2 years ago
Twelve new students are standing in a line. How many different ways can the first seven students in line order themselves
anzhelika [568]

Answer:

Step-by-step explanation:

hope this helps!

6 0
2 years ago
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
F(x) =2x-5 and g(x) =x+52 find f(g(x)
irga5000 [103]
If f(x) = 2x - 5 and g(x) = x + 52, then f(g(x)) can be deduced by placing g(x) in the spot of x in the f(x) equation as follows:

f(g(x)) = 2(g(x)) - 5

Since we know g(x) = x + 52, let's plug it in:

f(g(x)) = 2(x + 52) - 5
f(g(x)) = 2x + 104 - 5
f(g(x)) = 2x + 99
4 0
3 years ago
Read 2 more answers
An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee
SSSSS [86.1K]

Answer:

0.79 in^3

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

volume=\frac{1}{3} \pi r^2h

volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3

The difference in volume is 4.189-3.39= 0.79 in^3

8 0
2 years ago
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