Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
The value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have equation:
4(x + 5) = 9x + 4x − 34 (Given)
4x +20 = 9x + 4x − 34 (Distributive Property)
4x +20 +34 -4x = 9x + 4x − 34 + 34 -4x (Subtraction Property of Equality)
54 = 9x + 4x − 34 + 34 -4x (Addition Property of Equality)
54 = 9x (Combine Like Terms)
x = 54/9 (Division Property of Equality)
x = 6
Thus, the value of x in the equation 4(x + 5) = 9x + 4x − 34 is 6 after solving and applying properties.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
33
Step-by-step explanation
22 divided by 2 is 11
it says four years ago so add 11 and 4 and that equals 15
she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33
<1 = <2
vertical angles (congruent)
<3 = <2
corresponding angles (congruent)
so that: <1 = <2 = <3 = 112 degree
Answer: The correct option is, (B) Addition property
Step-by-step explanation:
- Addition property : In this property, whatever is added to one side of the equal sign must be added to the other side.
For example : If x = y then x + z = y + z
- Multiplication property : In this property, whatever is multiplied to one side of the equal sign must be multiplied to the other side.
For example : If x = y then x × z = y × z
- Transitive property : If one value (x) is equal to the another value (y), which is equal to the another value (z), then the first value (x) is equal to the third value (z).
For example : If x = y and y = z then x = z
The given inequality expression is,
5x - 9 < 91
5x -9 + 9 < 91 + 9
(Using Addition property because we are adding 9 on both the side)
5x < 100
5x ÷ 5 < 100 ÷ 5
(Using Division property because we are dividing by 5 on both the side)
x < 20
Therefore, addition property is used in the second step of solving the inequality.
