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!
Carlos is correct
Since we don't know the length of sides PR and XZ, the triangles can't be congruent by the SSS theorem or the SAS theorem, and since we don't know the measure of angles Y and Q, the triangles can't be congruent by the ASA theorem, the SAS theorem or the AAS theorem. Therefore, Carlos is correct.
Carlos is correct. Since the angles P and X are not included between PQ and RQ and XY and YZ, the SAS postulate cannot be used, since it states that the angle must be included between the sides. Unlike with ASA, where there is the AAS theorem for non-included sides, there is not SSA theorem for non-included angles, so the triangles cannot be proven to be congruent.
The x-axis serves as a horizontal asymptote for all exponential functions. Exponential functions are of the form f(x) = ax . The domain consists of all real numbers. However, the range only consists of all numbers greater than zero. This is because no matter how large x gets, the graph will shoot upwards towards infinity. If x becomes a negative, we know that we will get f(x) = 1/a2 . The larger the negative number, the closer the function approaches zero. So, for exponential functions we will always have that restriction that the range will only include positive numbers. I hope this answers your question. I believe the statement is true.
Answer:
A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Givens
smaller number = x
Larger number = 2x + 8
Sum = 35
Equation
x + 2x + 8 = 35
Solution
3x + 8 = 35
3x = 35 - 8
3x = 27
x = 9
The smaller number = 9
The larger number = 2*9 + 8 = 26
My answers aren't in the list. Are you sure the numbers in the list are correct?
