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
To round off to 10, the difference should range from 5 to 14. If the difference between two numbers is from 5 to 14, they all are rounded to 10.
Example:
(near to 10)



Answer:
3/2
Step-by-step explanation:
The multiplicative inverse also known as reciprocal implies it is something that is the opposite.
The given value is 2/3, so the opposite would just mean you flip the numerator and denominator. Thus, the reciprocal of 2/3 is 3/2.
Answer:
849.24 cm²
Step-by-step explanation:
we know it is a cube so to find the surface area of each square you do
12x12=144 and there are 5 sides so 144x5=720
We know sides of the squares are 12 cm so half of that (6) would be the bottom of the triangle
Now using pythagorus you would do a²+b²=c²
15²+6²=c²
225+36=c²
√261=√c²
16.15=c this only half of one of the sides of the pyramid so you would times 16.15 by 8 to equal 129.24
now add 720+129.24=849.24 cm²
Answer:
2 units
1/4 unit
5 units
Step-by-step explanation:
Khan ^w^'