Explain how to isolate the variable in the equation -2/3+7=15
1 answer:
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15 students preordered the year book and 9 students paid full price.
<u>Solution: </u>
Given that
Cost of pre-ordered year book = each
Cost of full price of year book = each
Number of students in Mr. Hillman's class purchased yearbooks = 24
Total price spent by 24 students to purchase year book =
Need to determine number of students pre-ordered and number of students paid full price.
Let assume number of student pre-ordered year book = x
As out of 24, x students pre-ordered the yearbook , so remaining are the ones who paid full price
So number of students paid full price =
Money spent by students who pre-ordered the book = number of student pre-ordered year book multiplied by Cost of 1 pre-ordered year book =
Money spent by students who paid full price = number of students paid full price x Cost of 1 full price year book =
Total price spent by 24 students to purchase year book = Money spent by students who pre-ordered the book + Money spent by students who paid full price
On solving above expression for x, we get
Number of student pre-ordered year book =
Number of students paid full price =
Hence 15 students pre-ordered the year book and 9 students paid full price.
Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?
A.
B.
C.
D.
Answer:
B.
Step-by-step explanation:
Given
Equation 1:
Equation 2:
Required:
Equivalent of equation 2
To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2
Open the bracket
Simplify fraction
Divide through by 2
Re-arrange
The next step is to compare each of option A through D with
A.
is not equal to
We check the next available option
B.
is equal to
This option is equivalent to the second equation in slope-intercept form.
We check further if there are more equivalent options
C.
Convert fraction to decimal
This is not equal to
D.
Convert fraction to decimal
This is not equal to
Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B
Answer:
343.77°
Step-by-step explanation:
1 radian = °
6 radians will be;
6 × ° =343.7746771
°
Or 343.77° (rounded up to nearest hundredth)