Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
Answer:
1200 children and 1500 Adults
Step-by-step explanation:
Suppose x be the children and y be the adults as total people are 2700 that have entered so we can write an equation as
x+y=2700 (Equation 1)
and as per child $1.50 is the cost and $4 for every adult and collectively we have got $7800 so we can write the equation as
1.50x+4y=7800 (Equation 2)
Extracting the value of y from equation 1
Y=2700-x (Equation 3)
Putting the value of y from equation 3 into equation 2
1.50x+4(2700-x)=7800
1.50x+10800-4x=7800
1.50x-4x=7800-10800
-2.5x=-3000
Cancellation of negative signs on both sides
x=3000/2.5
x=1200
Putting the value of x in equation 3 to get the value of y
y=2700-1200
y=1500
Answer:
Step-by-step explanation:
Salvage value=$1000
Purchased value=$11,000
In order to find the balance in accumulated depreciation at december 31,2015 using the units of activity we will use the following formula:
In the above equation $10000 came from Purchased value - salvage Value
The system of equations provides a unique solution(one solution) at (-0.6, 1.6).
<h2>Given to us,</h2>
<h3>Equation 2</h3>
As we already have the value of y from equation 1, substitute its value in equation 2,
<h3>Equation 1,</h3>
substitute the value of x in equation 1,
As we can see the system of equations provides a unique solution(one solution) at (-0.6, 1.6).
Learn more about the system of equations:
brainly.com/question/12895249
