Answer:
x = 67
y = 23.5
Step-by-step explanation:
Sum of angles in a triangle is supplementary,
x + 90 + 23 = 180
x + 113 = 180
x = 180 - 113
x = 67
y = ?
180 - 67 / 2
= 133 / 2
= 66.5
y + 66.5 = 90
y = 90 - 66.5
y = 23.5
Answer:
14, 42
Step-by-step explanation:
Set A = {−7, −4, 2, 14, 21, 34, 42}
Set B = {even numbers}
Set C = {multiples of 7}
There is only one question asked
Which numbers in Set A are elements of both Set B and Set C,
We need it to be even and a multiple of 7
14 is even and a multiple of 7 and 42 is even and a multiple of 7
The answer to your question is 8.9
Answer:
x= 8 y= 1
Step-by-step explanation:
First, you identify your variables:
x= larger number
y= smaller number
Second, you find your equations:
x - y = 7
2x + 3y = 19
Third, (I used the substitution method) you make "y" by itself for the 1st equation.
y = x - 7
2x + 3y = 19
Then, you plug in the 1st equation for "y" in the 2nd equation
2x + 3(x - 7) = 19
Then, you distribute and simplify.
2x + 3x - 21 = 19
5x - 21 = 19
5x = 40
x = 8
Finally, you plug in the variable you found ( x ) into one of the equations and solve,
8 - y = 7
- y = -1
y = 1
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!