Answer:
The equipment will cost $1740.
Step-by-step explanation:
Let the Cost of equipment, furniture and decoration be x, y and z.
Now, According to question,
x + y + z = 3600 ...... (1) (cost of all items)
x = 500 + y (∵ equipment cost 500 more than furniture)
and y = 2z ( ∵ furniture twice as much as decoration)
so, z = y/2
Now substituting the value of x and z in eq (1)
So, the cost of furniture (y) = 1240
∴ Cost of equipment = y + 500 = 1240 + 500 = 1740
Therefore the cost of equipment was $1740.
Answer:
-3, 1, 5, 9
Step-by-step explanation:
2(2) - 7 = -3
2(4) - 7 = 1
2(6) - 7 = 5
2(8) - 7 = 9
The solution to given system of equations are (x, y) = (4, 2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 14 ---------- eqn 1
3x - 4y = 4 --------- eqn 2
We have to solve the given system of equations
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 3</u></em>
3(2x + 3y = 14)
6x + 9y = 42 --------- eqn 3
<em><u>Multiply eqn 2 by 2</u></em>
2(3x - 4y = 4)
6x - 8y = 8 ----------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6x + 9y = 42
6x - 8y = 8
( - ) --------------
9y + 8y = 42 - 8
17y = 34
<h3>y = 2</h3>
<em><u>Substitute y = 2 in eqn 1</u></em>
2x + 3(2) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
<h3>x = 4</h3>
Thus the solution to given system of equations are (x, y) = (4, 2)
Answer:
160°
Step-by-step explanation:
The formula below gives the measure of an interior angle of a regular polygon of n sides.
[(n - 2)180]/n
[(18 - 2)180]/18
16(10)
160
Answer: 160°
