I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.

#1  A=9    #2  Naomi started with 6 bushels

Step-by-step explanation:

4A-1 = 3A + 8   Subtract 3A from both sides  4A -3A -1 = 3A-3A + 8 to get

A -1 = 8    Add 1 to both sides   A -1 + 1  = 8 + 1 to get

A = 9 .   Check by substituting 9 in place of A

4(9) - 1 = 3(9) + 8   multiply: 4×9 = 36 . 3×9=27

36 -1  =  27 + 8     do the subtraction and addition

35 = 35 .True.  

Part 2:   The original number plus 5 equals 11

B + 5 =  11 .  . Subtract  5 from both sides

B +5 -5 = 11 -5

B = 6

Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.

answer: check all that apply, where the options?

step-by-step explanation:

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).