ans is b...multiply eqn 1 by -2 and eqn 2 by 3
=》 -6x + 10y = 4...eqn 3
=》 6x + 3y = 9...eqn 4
add eqn 3 and 4...
=》13y = 13
=》y =1 and x = 1
60 children tickets and 190 adult tickets were sold.
Step-by-step explanation:
Let the no. of adult tickets sold be 'a'
Let the no. of children tickets sold be 'c'
Total tickets sold = 250
Cost of 1 children ticket = $2.5
Cost of 1 adult ticket = $4
Total money collected= $910
Given that,
a + c = 250
a = 250 - c
4a + 2.5c = 910
Substitute a value
4(250 - c) + 2.5c = 910
1000 - 4c + 2.5c = 910
1000 - 1.5c = 910
-1. 5c = -90
1.5c = 90
c = 90/1.5
c = 60
a + c = 250
a + 60 = 250
a = 190
Answer:
x = 16.6
Step-by-step explanation:
Since we know the measure of an acute angle (31 degrees) of a right angle triangle, and of the side opposite to the angle (10), and we need to find the measure of the adjacent side "x", we use the tangent function:
which rounded to one decimal is
x = 16.6
Answer:
Step-by-step explanation:
Assuming the problem is asking you to factor out the formula, it can be done easily by finding a common number with the two givens.
4 goes into both 12 and 16 evenly, so we will use this to factor. But that's not all, we have the n-variable to worry about.
Look at the n-variable exponents in the problem, take the highest power that can go be subtracted from both and use that. We have a 
and 
. Since 5 can't go into 3, we must use 3 to factor.
Our factoring variable will therefore be 
. Now, use this to simply divide and get the answer:
So how did we get this? For the whole numbers, we have to divide: (12/4, 16/4). Next, we have to minus the exponents since we are dividing.
When dividing the 12 and 4, minus the and to get 
. Get rid of the term for the 16 and leave the 4. And there's your answer!
Answer:
Volume of cuboid = 300 in³
Surface area of cuboid = 280 in²
Step-by-step explanation:
Given:
Length = 10 in
Width = 5 in
Height = 6 in
Find:
Volume of cuboid
Surface area of cuboid
Computation:
Volume of cuboid = [L][B][H]
Volume of cuboid = [10][5][6]
Volume of cuboid = 300 in³
Surface area of cuboid = 2[lb][bh][hl]
Surface area of cuboid = 2[(10)(5) + (5)(6) + (6)(10)]
Surface area of cuboid = 2[50 + 30 + 60]
Surface area of cuboid = 2[140]
Surface area of cuboid = 280 in²
