Answersharaddhagupta become my friend
Answer:
C
Step-by-step explanation:
= 6 ( multiply both sides by 3x to clear the fraction )
15y - 10 = 18x ( add 10 to both sides )
15y = 18x + 10 ( divide terms by 15 )
y =
x +
, that is
y =
x +
→ C
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.
Multiplying factors with exponents means you can add the exponents.
So

A negative exponent becomes positive when you move it to the denominator, so:
Answer: The cost of child's ticket = $10
The cost of adult ticket = $ 13
Step-by-step explanation:
Let x be the cost of a child ticket and y be the cost of an adult ticket.
Then According to the question, we have

Multiply equation (1) by 3 and equation (2) by 2, then we have

Subtract equation (1) from equation (2), we have

Substitute the value of x in equation (1), we get

Hence, the cost of child's ticket = $10
The cost of adult ticket = $ 13