Answer: The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
Let x represent the number of 3-point questions.
Let y represent the number of 5-point questions.
The maths test consists of 24 questions. This means that
x + y = 24
Each question is worth either 3 points or 5 and the test is worth 100 points. This means that
3x + 5y = 100 - - - - - - - - - - -1
Substituting x = 24 - y into equation 1, it becomes
3(24 - y) + 5y = 100
72 - 3y + 5y = 100
- 3y + 5y = 100 - 72
2y = 28
y = 28/2 = 14
Substituting y = 14 into x = 24 - y , it becomes
x = 24 - 14 = 10
First you would subtract the monthly fee from the total bill
Maria spend $12.35 on songs, to find out how many songs, you divide that by $.95
Maria bought 13 songs this month.
Answer:
i. 30 degrees
ii. 30 degrees
Step-by-step explanation:
The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.
3y+4y+5y=360
y=30 degrees
The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!
The strategy is following
Smaller number subtract from the greater. Result is distance between two numbers
For example you have 3 and 8
8-3-5
5 is the distance between 3 and 8
It also works with the negative numbers, for example 3 and -5
3-(-5)=8
4 years apart if he is 20 years old
