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2 years ago

8

Bus 60 arrives at the station every 6 minuets. However, Bus 54 arrives at the same station every 9 minuets. After how many minut

es will the buses be back at the station at the same time again?

1 answer:

tatiyna2 years ago

6 0

Three minutes between

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There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Midd

zavuch27 [327]

Given:

Total number of students at Colfax Middle School = 270

Ratio of boys to girls is 5:4.

Total number of students at Winthrop Middle School = 180

Ratio of boys to girls is 4:5.

The two schools hold a dance and all students from both schools attend.

To find:

The fraction of the students at the dance are girls

Solution:

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

$5+4=9$

Number of boys $=270\times \dfrac{5}{9}=150$

Number of girls $=270\times \dfrac{4}{9}=120$

There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

$4+5=9$

Number of boys $=180\times \dfrac{4}{9}=80$

Number of girls $=180\times \dfrac{5}{9}=100$

Now,

Total number of students in both schools $= 270+180$

$= 450$

Total number of girls in both schools $= 120+100$

$= 220$

The fraction of the students at the dance are girls is

$\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}$

$\text{Required fraction}=\dfrac{220}{450}$

$\text{Required fraction}=\dfrac{22}{45}$

Therefore, the required fraction is $\dfrac{22}{45}$ .

7 0

2 years ago

Find the horizontal asymptote of of the graph of y=(-3x^6+5x+3)/9x^6+6x+4

NNADVOKAT [17]

Answer:

y = -1/3

Step-by-step explanation:

As x gets large, the value of the expression approaches the ratio of the highest-degree terms in numerator and denominator:

y = -3x^6/(9x^6) = -3/9

y = -1/3

5 0

2 years ago

3) The width is changed by a scale factor of . What is the new volume? 10 cm 15cm 5 cm

MrRa [10]

I think the answer is A i’m sorry if it’s wrong i’m not for sure.

6 0

2 years ago

How much simple interest would 1000 earn in 275 days at an interest rate of 4.21%

nikitadnepr [17]

Now, there are 365 (excluding leap years) in a year, so, 275 days is not even a year, but is 275/365 of a year, or 55/73 of a year.

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\\
P=\textit{original amount deposited}\to& \$1000\\
r=rate\to 4.21\%\to \frac{4.21}{100}\to &0.0421\\
t=years\to \frac{275}{365}\to &\frac{55}{73}
\end{cases}
\\\\\\
I=1000\cdot 0.0421\cdot \cfrac{55}{73}$

3 0

2 years ago

3/4 (x-16) -5=15 solve for x

sergey [27]

3/4x-12-5=15
3/4x-17=15
3x-68=60
3x=60+68
3x=128
X=128/3

6 0

2 years ago