a stone wall is a total of 6 feet high. only 4 feet of the wall are above ground. what part is underground?
1 answer:
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Answer:
$75
Step-by-step explanation:
Joni currently earns $300 per week (given)
To find how much more she will earn each week, write an expression adding the original pay and the raise amount.
$300 + 25%
Find 25 as a decimal for multiplication
25% = 25/100 = 0.25
Write an expression to represent the scenario
Expression example 1:
$300 + 0.25(300)
This expression adds the original pay and the new raise together.
Expression example 2:
$300 (1.25)
This expression already takes the new pay into account by finding 125% of the original pay.
Simplify both expressions
Expression 1:
$300 + 0.25(300)
$300 + $75
$375
Expression 2:
$300 (1.25)
$375
Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.
New amount - original amount = amount increase
Substitute known values into the equation
$375 - $300
Simplify
$75
Joni will earn $75 more each week.
Let me know if you have any questions!
Answer:
x = 5
Step-by-step explanation:
For better explanation of the solution, see the attached diagram of the problem :
The triangle angle bisector theorem states that the line which bisects an angle of a triangle divides the opposite two sides of the triangle in two equal segment which are proportional to the other two sides of the triangle.
Now, from the diagram : AD is the angle bisector angle B
On Cross multiplication :
⇒ 9 × 3x = 15 × (2x - 1)
Using the distributive property,
⇒ 27x = 15×2x - 15×1
⇒ 27x = 30x - 15
Subtract 30x from each side:
⇒ 27x - 30x = 30x - 15 - 30x
⇒ -3x = -15
⇒ x = 5
