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I am Lyosha [343]

3 years ago

14

There are 33 students in the cafeteria, 15 girls and 18 boys. What is the ratio of girls to boys in the cafeteria?

2 answers:

olchik [2.2K]3 years ago

4 0

There are 15 girls and 18 boys. Therefore, the ratio of girls to boys in the cafeteria is 15 : 18 (or 15/18). However, both sides can be divided by 3, which simplifies the ratio to 5 : 6 (or 5/6).

Hope this helps!! :)

Tanya [424]3 years ago

4 0

Answer: The ratio would be 5 girls to every 6 boys.

Step-by-step explanation:

Find a common number both can be divided be which would be 3, so 15 by 3 is 5, and 18 by 3 is 6. So, there is 5 girls for every 6 boys which is the ratio.

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erik [133]

2^3
——
3^3

............

8 0

3 years ago

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

4 years ago

$7230 for 3.25% in 12 years

IceJOKER [234]

$2,819.70 is the answer

You multiply .0325×12×72.30

6 0

3 years ago

Please show work thank you

sasho [114]

3 x3 = 9 4 x 3 =12 6 x 2 = 18 3 x

6 0

3 years ago

What is 1504.92 x8%x 1/12=

valentinak56 [21]

Answer:

10.0328

Step-by-step explanation:

this is the answer

4 0

4 years ago