For the first one, since she earns $17 per hour, & she tutored for 12 hrs this month, all you have to do is multiply the amount she makes per hour by the hours she’s tutored for. so 12x17=$204 so she made $204 this month. For the second one, it’d be the same thing, just multiply 19.5 by 17, which would give you 331.5.
& For the second question, all you have to do is plug in the numbers to the equation above. so it’d be 540 gallons / 1 minute multiplied by 42 since that is the time the pool needs to be filled by. So, if you do that, you will get 22,680, so the answer will be : yes it will fill up on time.
Answer:
a. 10 + 2.50x
b. 60
c. 100
Step-by-step explanation:
a. 10 + 2.50x
b. 10 + 2.50(20)
= 10 + 50
= 60
c. 260 = 10 + 2.50x
250 = 2.50x
250/2.50 = x
x = 100
A system of linear equations will have no solution when the two lines making up the equation are parallel. Here, a system having x + y = 2 will have no solution if the second equation is x + y = a. where a is any real number.
Answer:
The shortest walking route is through the diagonal AC: 102.89m
Step-by-step explanation:
One can go from A to C using 2 paths:
- ADC or ABC
- using diagonal AC and half of that inner circle.
We need to compute the length of each path.
1) ADC=AD+DC=80+50=130m
2) AC²=AD²+DC²=80²+50⁵=6400+2500= 8900m²
AC=sqrt(8900)=94.34m.
Note that the diagonal AC has a missing segment, whose length is the diameter of the inner circle. So the straight line has a length of: AC-d=94.34-15=79.34m.
Perimeter of half the circle=pi×r= 3.14×(15/2)= 3.14×7.5=23.55m
So, if one is using the diagonal to go from A to C, then he has to walk:
79.34+23.55=102.89m
Comparing the two routes: 130m vs 102.89m, we notice that the route using the diagonal AC is shorter.
