Seven more than three-fourths of a number is no less than 31

7+3/4x >= 31

Step-by-step explanation: 7 more = +7

three - fourths of a number = 3/4 x

no less than = >= (more than or equal to sign)

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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).