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Lorico [155]
4 years ago
6

in a class there are 40 students. There are 10 more boys than girls in the class, Let x be the number of boys and y be the numbe

r of girls in the class. Write down the two equations relating x and y.
Mathematics
1 answer:
belka [17]4 years ago
5 0
X = boys
y = girls

x + y = 40 (in a class there are 40 students)
x = y + 10 (t<span>here are 10 more boys than girls in the class</span>)
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If u+v+w=0, show that u x v = v x w = w x u.
Flauer [41]
Take the cross product of both sides of \mathbf u+\mathbf v+\mathbf w=\mathbf0 with \mathbf u,\mathbf v,\mathbf w to generate a system of three simultaneous equations.

(\mathbf u+\mathbf v+\mathbf w)\times\left\{\begin{matrix}\mathbf u\\\mathbf v\\\mathbf w\end{matrix}\right\}=\mathbf0\times\left\{\begin{matrix}\mathbf u\\\mathbf v\\\mathbf w\end{matrix}\right\}
\implies\begin{cases}\mathbf u\times\mathbf u+\mathbf u\times\mathbf v+\mathbf u\times\mathbf w=\mathbf0\\\mathbf v\times\mathbf u+\mathbf v\times\mathbf v+\mathbf v\times\mathbf w=\mathbf0\\\mathbf w\times\mathbf u+\mathbf w\times\mathbf v+\mathbf w\times\mathbf w=\mathbf0\end{cases}
\implies\begin{cases}\mathbf u\times\mathbf v+\mathbf u\times\mathbf w=\mathbf0\\\mathbf v\times\mathbf u+\mathbf v\times\mathbf w=\mathbf0\\\mathbf w\times\mathbf u+\mathbf w\times\mathbf v=\mathbf0\end{cases}

since \mathbf x\times\mathbf x=\mathbf0 for any vector \mathbf x.

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4 0
4 years ago
Monique randomly surveyed 30 students from
Naily [24]

Answer:

522

Step-by-step explanation:

Find the percent of students in her class that have a dog or cat:

  1. Set up a proportion: \frac{18}{30} = \frac{x}{100}  
  2. Cross multiply, then divide: 18 × 100 = 1800, 1800 ÷ 30 = 60
  3. So, 60% have a dog or cat

Find 60% of the total amount of students in Monique's school:

  1. 60% of 870 = \frac{60}{100} × \frac{870}{1}  
  2. \frac{60}{100} × \frac{870}{1} = \frac{52200}{100}  
  3. \frac{52200}{100} = \frac{522}{1} = 522  

I hope this helps!

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Answer:

a, also there is a calculator on google for this, if you have any more!

Step-by-step explanation:

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Alinara [238K]
The diameter is 80 or the first answer
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4 years ago
Read 2 more answers
Please help asap!!<br><br>thanks!!​
malfutka [58]

Answer:

See Explanation

Step-by-step explanation:

1:A

2:B

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4:A

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