A castle under siege has enough food for 300 men for 90 days. (Level 6) After 40 days, 150 men have left the castle. How long would the food last at the same rate of consumption?

45 days

Step-by-step explanation:

300 men  = 90 days

the percentage of food consumed by one man

= ( 90 / 300 ) * 100

= 30%  = 0.3

After 40 days

150 men remain to consume at 30%

determine the number of days the remaining food will last ( x )

= x / 150 = 0.3

therefore ; X = 150 * 0.3 = 45 days

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

stew reads at the fastest rate of 265 words per minute.

step-by-step explanation:

it's a given that felicia reads at 260 word per minute and on connie's graph we can see that she reads 200 words per minute. since stew's table tells us that he read 795 in 3 minutes, we can divide 795 by 3 to find out how many words he reads per minute.

795/3 = 265

stew reads 265 words per minute - he reads at the fastest rate since felecia reads at 260 words per minute and connie reads at 200 words per minute.

stew (265) > felecia (260) > connie (200)