Answer:
24
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
x=24
Let x be the number of 5 points question.
Let y be the number of 2 points question.
Total number of questions is 38
x + y = 38
Total points is 100
5x + 2y = 100
x + y = 38 ------------- (1)
5x + 2y = 100 ---------(2)
From (1):
x + y = 38
x = 38 - y -------------- sub into (2)
5(38 - y) + 2y = 100
190 - 5y + 2y = 100
3y = 90
y = 30 ------------------ sub into (1)
x + 30 = 38
x = 38 - 30
x = 8
There are 8 5-point questions and 30 2-point questions
Answer:
465 miles
Step-by-step explanation:
So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get
4.5 cm: 465 mi
Given :
A right angle triangle ABC .
To Find :
The perimeter of ABC .
Solution :
Since, triangle ABC is right angled and angle ∠ABC is 46° .
So, AC = AB cos 46° = 7.64 units.
Also, CB = AB sin 46° = 7.91 units.
Therefore, the perimeter of ΔABC is :
P = 11 + 7.64 + 7.91 units
P = 26.55 units
Hence, this is the required solution.
Answer:
36
Step-by-step explanation:
First we need to write out some of the common multiples of 4 and 6.
12, 24, 36
The number 36 is between 25 and 45 so it is our answer
