There are 35 children for every 6 teachers. Using the same child to teacher ratio, how many teachers needed for 140 children?

24 teachers

Step-by-step explanation:

The ratio of children to teacher is 35 : 6 or . To find how many teachers is needed for 140 children, you would need to use the following equation:

.

To solve this, you would need to cross multiply.

35 * x = (140) * (6)

35x = 840

           Divide both sides by 35

x = 24

Another way to do it:

          Multiply x to both sides

x = 24                Divide both sides by 35

30 people weigh 160 pounds or more

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).