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Gekata [30.6K]
2 years ago
15

a number consists of two digits. one of the digits is greater than the other by 5 when the digits are reversed the number become

s 3 divided by 8 of the original number. find the number​
Mathematics
1 answer:
lana [24]2 years ago
5 0

Answer:

The number is 72.

Step-by-step explanation:

Let the digits be x and x - 5 where x  is the first digit.

(As the number reversed = 3/8 of the original number the first digit must be the largest),

Consider the reverse digit number:

The original number = 10x + (x - 5) so the reverse number is 10(x - 5) + x and

10(x - 5) + x  = 3/8(10x + (x - 5))

11x - 50 = 3/8(11x - 5)      

11x - 50 = 33/8 x - 15/8              Multiply through by 8:

88x - 400 = 33x - 15

55x = 385

x = 7

and x-5 = 2.

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find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m
serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

A=\pi r^2+\pi rL

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}

For the smaller cone, r = 1.5 and L = 2.5

\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\  \\ =25\% \end{gathered}

3 0
1 year ago
If events e and f are independent such that pr⁡(e)=0.3 and pr⁡(f)=0.6. what is "pr"(e⋂f)? show all work.
kati45 [8]
0.3*0.6 = 0.18. By definition of independent.
7 0
2 years ago
What is the domain of the function graphed below?
Lana71 [14]

Answer:

A: X < 7

Step-by-step explanation:

8 0
2 years ago
Nick and his cousin Sarah have the same birthday but Nick is 4 years older than cigarettes the variables that represents next ag
ad-work [718]

x = Nick's age                    y = Sara's age

Nick is 8 years older than Sara, therefore

y = x - 8


3 0
3 years ago
Hi guys can u pls help me with this problem thanx
salantis [7]

Answer:

\frac{1}{4} left

Step-by-step explanation:

The question says she used \frac{1}{2} of it, so she probably used \frac{1}{2} of it. I'm assuming this is an error in the question, and it should be asking how much is left. To solve for that:

\frac{3}{4} - \frac{1}{2}

make denominators equal

(\frac{2}{2} × \frac{3}{4}) - (\frac{1}{2} × \frac{4}{4})

\frac{6}{8} - \frac{4}{8}

\frac{2}{8}

\frac{1}{4}

8 0
3 years ago
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