Answer:
19/6
Step-by-step explanation:
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Solving equations with a variable on both sides requires multiple steps.
Let's look at how to solve one using properties step by step.
Example 1: 100 - 4x = 16x
Step 1: In the above equation, the first step is to identify the
variable. Clearly, it is x but the variable exists on both sides of the
equal sign.
Step 2: To simplify it, we can use the
properties of equality (addition and multiplication property of
equality) which says that if we perform an operation on one side, the
same should be done on the other side of the equal sign so that the
equation is balanced.
Using the addition property of equality, let's add 4x to both sides, we get.
100 - 4x + 4x = 16x +4 x
which equals, 100 = 20x
Now, dividing both sides by 20, we get
x = 5
For more complex equations, the usage of distributive property of
multiplication might be needed to isolate the variable and simplify.
The airplane went 5195.33 km
Step-by-step explanation:
Distance = speed × time
The given is:
1. An airplane flies for 3.5 hours with a constant speed of 840 km/h
2. Then for another 3 hours 19 minutes with a constant speed of
680 km/h
We need the distance it traveled
For the first part
∵ The time is 3.5 hours
∵ The speed is 840 km/h
∵ Distance = speed × time
- Substitute the values of the speed and the time in the rule
∴ Distance = 840 × 3.5
∴ Distance = 2940 km
For the second part
∵ The time is 3 hours and 19 minutes
- We must change the minutes to hour
∵ 1 hour = 60 minutes
∴ 19 minutes = hour
∴ The time is hour
∵ The speed is 680 km/h
∴ Distance = 680 ×
∴ Distance = km
∴ The total distance = 2940 +
∴ The total distance = km
It went 5195.33 km
Learn more:
You can learn more about constant speed in brainly.com/question/568302
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Answer:
Step-by-step explanation:
x+y = 9
y = 9-x
8x + 5y = 51
8x + 5(9-x) = 51
8x + 45 - 5x = 51
3x = 6
x = 2
y = 9-x = 7
Two hardcover books and seven paperback books.
Answer:
The right solution is "$1.4". A further explanation is given below.
Step-by-step explanation:
The given values are:
The annual dividend the corporation paying,
= $2.10
It underwent,
= 3 for 2 split
So that the no. of share increased by multiplying factor,
=
Now,
The annual dividend per share will be:
=
=
= ($)