1 mile is equal to 1.6 kilometers, so 8 miles (using a direct proportion) should be equal to 8 * 1.6 = 12.8 kilometers. The cyclist rides at 12.8 kilometers per hour. In four hours, the cyclist would have rode 12.8 * 4 = 48 + 3.2 = 51.2 kilometers.
1.0 and 1/1
100% is the same as 1.
Answer:
The price of an adult's ticket is $18.5 and the price of a child's ticket is $6.5
Step-by-step explanation:
Let
x ------> the price of an adult's ticket
y -----> the price of a child's ticket
we know that
8x+5y=180.50 ------> equation A
12x+6y=261.00 ------> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (18.5,6.5)
see the attached figure
therefore
The price of an adult's ticket is $18.5 and the price of a child's ticket is $6.5
-3x - 3 (5x - 17) = 3
-3x - 15x + 51 = 3. combine like terms
-18 x + 51 - 51 = 3 - 51
-18x = -48 divide by -18
x = 3
put 3 in for x
-3 (3) -3y = 3 multiply
-9 +9 - 3y = 3 + 9 combine like terms
-3y = 12 divide by -3
y = -4
Answer:
B
Step-by-step explanation:
When solving equations, you need to isolate the variable on one side of the equal sign with the constants on the other. In order to do this, it is required to rearrange the equation using inverse operations. These operations can be done using the properties like addition property of equality, subtraction property of equality and multiplication property of equality. Each property states that the operation does not change the equality of the situation. This means both sides of the equation sign remain equal. Use the property when most to your advantage.
4x-28=2x-6 needs the variable x isolated. The best first move is to rearrange the constants by adding 28 to both sides. This is allowed by the addition property of equality.
