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:

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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(7)/(3) of it is 5 (5)/(6)

slava [35]

let's firstly convert the mixed fraction to improper fraction and then take it from there, keeping in mind that the whole is "x".

$\stackrel{mixed}{5\frac{5}{6}}\implies \cfrac{5\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{35}{6}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{3}x~~ = ~~5\frac{5}{6}\implies \cfrac{7}{3}x~~ = ~~\cfrac{35}{6}\implies 42x=105\implies x=\cfrac{105}{42} \\\\\\ x=\cfrac{21\cdot 5}{21\cdot 2}\implies x=\cfrac{21}{21}\cdot \cfrac{5}{2}\implies x=1\cdot \cfrac{5}{2}\implies x=2\frac{1}{2}$

7 0

2 years ago

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFract

Lena [83]

Answer:

The correct answer is p $\geq$ $\frac{74}{80}$

Step-by-step explanation:

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( ) or less than equal to ( ) signs. We solve the above given inequality to find the solutions of the unknown p. An inequality reverses if and only if we we multiply both sides with a negative quantity. Addition or subtraction does not change the sign in the inequality.

$\frac{7}{10} \geq 1 + \frac{5}{8} + p\\\\\frac{7}{10} \geq \frac{13}{8} + p\\\\\frac{7}{10} - \frac{13}{8} \geq p\\\\\frac{-74}{80} \geq p\\p \leq \frac{-74}{80} \\p\geq \frac{74}{80}$