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Salsk061 [2.6K]
3 years ago
6

The sum of three numbers is 98. The ratio of the first to the second is 2/3, and the ratio of the second to the third is 5/8. Th

e second number is:
(a) 15, (b) 20, (c) 30, (d) 32, (e) 33
Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

Let the three numbers be x, y and z.

Sum of the numbers is 98.

x + y + z = 98………………(i)

The ratio of the first to the second is 2/3.

x/y = 2/3.

x = 2/3 × y.

x = 2y/3.

The ratio of the second to the third is 5/8.

y/z = 5/8.

z/y = 8/5.

z = 8/5 × y.

z = 8y/5.

Put the value of x = 2y/3 and z = 8y/5 in (i).

2y/3 + y + 8y/5 = 98

49y/15 = 98.

49y = 98 × 15.

49y = 1470.

y = 1470/49.

y = 30 .

Therefore, the second number is 30.

Answer: (c)

Step-by-step explanation:

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Answer:

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Step-by-step explanation:


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Nobody goes around with lists of greatest common factors in their head. 
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7 0
4 years ago
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Atmospheric pressure decreases by about 11.8% for every 1000 meters you climb. The pressure at sea level is 1013 millibars (a un
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At sea level, the pressure is 1013, that's when the altitude is at 0, sea level, let's see

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1 - r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &1013\\
I=\textit{initial amount}\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &0\\
p=period\to &1000
\end{cases}
\\\\\\
1013=I(1-0.118)^{\frac{0}{1000}}\implies 1013=I\cdot 1\implies 1013=I

so, the inital amount is 1013, when t = 0,

\bf \textit{Periodic Exponential Decay}\\\\
A=I(1- r)^{\frac{t}{p}}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &1013\\
r=rate\to 11.8\%\to \frac{11.8}{100}\to &0.118\\
t=\textit{meters climbed}\to &t\\
p=period\to &1000
\end{cases}
\\\\\\
A=1013(1-0.118)^{\frac{t}{1000}}\implies A=1013(0.882)^{\frac{t}{1000}}

now, to check the atmospheric pressure at 4000, simply set t = 4000, to get A.


7 0
3 years ago
a bowling ball has a diameter of 8.5 inches. If it is rolled down a 60-foor bowling lane, how many complete revolutions will it
Tatiana [17]
We know that
A bowling lane<span> is 42 inches wide and </span>60 feet<span> long
1 ft-------> 12 in
60 ft-----> X
X=60*12------> X=720 in
</span>
[the length of a circumference]=2*pi*r
for r=8.5/2------> r=4.25 in
[the length of a circumference]=2*pi*4.25---------->26.69 in

if 26.69 in  represent---------------> 1 revolution
720 in (bowling lane)------------> X
X=720/26.69------> X=26.98  revolution

the answer is
26 revolutions
3 0
4 years ago
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