Answer:
There were 40 2-point questions and 9 3-point questions.
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 49
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 125. Substitute one of the equations into the other to solve for the variables.
x + y = 49 becomes x = 49 - y. Substitute it.
2(49-y) + 5y = 125
98 - 2y + 5y = 125
98 + 3y = 125
3y = 27
y = 9
Substitute y = 9 back into the equation x = 49 - y to find x.
x = 49 - 9
x = 40
#27.
First cross multiply
2 (2a-3) = 3 (a-1)
next use the distribute property on both sides
4a - 6 = 3a - 3
combine like terms, subtract 3a from both sides and add 6 to both sides
a = 3
#28
cross multiply
3x = 4, then divide both sides by 3
x = 4/3
#30
add 1/4 to both sides
3/x = 1/2 + 1/4, find a common denominator for the right side fractions
3/x = 2/4 + 1/4 = 3/4
therefore, x = 4
Answer:the answer is D
Step-by-step explanation:
To re-phrase this: 50 is a certain percent of 90.
this can be written mathematically as 50=x%*90
let's divide both sides by 10:
5=x%*9
and divide both sides by 9:
which in decimals is approximately 0.56 (but not exactly).
so 0.56=x%
and the x then 56
so 50 is
approximately 56% of 90:
exactly 56%of 90 is 50.4
Answer:
10cm 5cm and 9cm
Step-by-step explanation:
just try this
take any two measurements and add them together if they are larger than the 3rd measurement it will work and all you have to do is do that to each measurement
10+5 is greater than 9
9+5 is greater than 10
9+10 is greater than 5
