1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime number,. then (x+y)/7 = z². In this case either x = 2 or y = 5 (or vice vera). This is the only possibility to be divisible by 7 . Then (5+2)/7 = 1² = 1
2) 5 pipes → 2 hours → 2 pools
then 1 pipe takes (5x2) 10 hours to fill 2 pools
or 1 pipe takes (10/2) 5 hours to fill 1 pool
3) It's 6/30 = 0.2 or 20%
4) 35% represent 7 Students, 100% of the class represent x students:
35%/7 = 100%/x
0.35/7 = 1/x (Cross multiplication) →0.35x = 7 and x = 7/0.35 → x = 20 students
5) Let K be the age of Katie and B her brother's
K + 2 = B OR K = x - 2 (Today)
In 12 years (B+12), B will be twice K (remember K = B-2) →
B+12 = 2(K) OR B+12 = 2(B-2)
B+12 = 2(B-2) →
B+12 = 2B - 4→
12 + 4 = B and B = 16. If the brother is 16, then Kate is 14
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Answer:
what makes a graph linear:
• it's a straight line
• has a constant rate of change (slope)
• and of course it runs once through the y axis.
$315, i cant give a thorough explanation since i did it all in my head but basically amal gets 5 portions of the money and Salma gets 9, meaning she gets 4 more, so if 4 portions is $252 then it cant be any of the others since they are too low or way too high, $315 is the only reasonable one.
Answer:
a. Life span increased
b. The median age could rise because of the improvement in medical technology. Also more advertisement of healthier life styles, such as eating healthy could have increase the median age.
c. No because this just shows the increase in life span not the decrease in children.
Step-by-step explanation:
a. more people on average lived longer lives. (explanation)
b. self explanatory I guess, my answer pretty much explained it.
c. life span of US citizens does not effect the children population. I guess you could say people lived longer lives to have more children, so possibly the number of children could have increased.
Step-by-step explanation:
m<N = ½×144 = 72°
m (NQ = 2×47 = 94°
