Part A:
<span>a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12
Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.
Part C:
</span>To <span>identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.</span>
Answer:
C 5/13
Step-by-step explanation:
A fraction is written in reduced form if there are no common factors in the numerator and denominator. Since you know your multiplication tables, you can easily identify the common factors:
A 20 = 5·4, so 4 is a common factor 4/(4·5) = 1/5
B 6 = 2·3, 9 = 3·3, so 3 is a common factor (2·3)/(3·3) = 2/3
C 13 is not a multiple of the prime number 5, so there are no common factors. 5/13 is a reduced fraction
D 14 = 2·7, 21 = 3·7, so 7 is a common factor (2·7)/(3·7) = 2/3
Answer:
Answer is power reducing and substitution
Step-by-step explanation:
EDGE 2020
Answer:
15,16,17
Step-by-step explanation:
Consecutive intigers: numbers that go in order (eg. 1,2,3....45,46,47)
x+x+1+x+2=48
3x+3=48
3x=45
x=15
15,16,17
200 can be rounded down to 200, which is easy to add with. Thus, an estimate is 222+200=422.
Alternatively, you could round 222 up a bit, to get 225+200=425. This is actually the correct answer, but this rounding doesn't make the calculation easier, so if you needed a quick estimate I'd go with the first option.
