Answer:
Step-by-step explanation:
When multiplying exponents with same base the operation is adding up
Ordered pairs are in the form (x, y). So, replace all variables with their values.
We have the ordered pair (0, 14). Replace x with its value and y with its value.
Now we have the inequality 14 > 0 + 12
Simplify the left-hand side.
14 > 0 + 12
14 > 12
So, the ordered pair (0, 14) is part of the solution set.
Part A:
y=mx+b
621=83(7)+b
Part B:
621=83(7)+b
621=581+b
621-581=b
b=40
Insurance cost is 40$
Answer:8.6
Step-by-step explanation:
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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