Answer:
10^0=1 day
Step-by-step explanation:
10^4 x 100=10^4 x 10²
=10^(4+2)
=10^6
Then:
10^6/10^6=10^(6-6)=10^0=1 day
Answer:
sedan = 26 miles/gallon
truck = 17 miles/gallon
Step-by-step explanation:
try to write the text in mathematical format as a system of equations
t=truck s=sedan

first equation can be written as
t= (181-5s)/3
we can use it in the second equation and rewrite it as
7[(181-5s)/3]+6s = 275
7(181/3 -5/3s) + 6s = 275
1267/3 - 35/3s + 6s = 275
-35/3s + 18/3s = 275-1267/3
-35/3s + 18/3s = 825/3 - 1267/3
-35s + 18s = 825 -1267
-17s = -442 s = 442/17 = 26 sedan has an average of 26 miles/gallon
we use this value of s in the first equation
3t + 5*26=181 3t=181-130 t= 51/3 = 17 truck has an average of 17 miles/gallon
<span>a.) Let x be the number of tickets sold before the event and y the number of tickets sold on the day of the event. Then x + y =< 800 and 6x + 9y >= 5000. (b.) Suppose the club sold 440 tickets before the event, i.e. x = 440, maximum number of tickets remaining to be sold = 800 - 440 = 360. Maximum amount realized from the sales supposing all tickets were sold = 6(440) + 9(360) = 2640 + 3240 = $5880 which is greater than $5000. Therefore, it is possible for the club to sell enough additional tickets on the day of the show to meet the expenses of the show.</span>
Answer:
<h3>
A'(-2,0) , B'(0.5,6) and C'(3,0)</h3>
Step-by-step explanation:
The vertices of triangle ABC are A(−5, 1), B(−2.5, 7), and C(0, 1).
The given translation of vertices,
<h3>
(x, y) → (x + 3, y − 1)</h3>
This translation shows shift x-coordinate 3 unit right and y-coordinate 1 unit down.
- First translate vertices A(-5,1)

New vertices A'(-2,0)

New vertices B'(0.5,6)

New vertices C'(3,0)
Hence, the new coordinate of the vertices are A'(-2,0) , B'(0.5,6) and C'(3,0)
A) 2 X 3 + 2 X 5 = 2 (3+5)
B) 5a + 5b - 5c = 5 (a+b-c)
C) ma - ab = a(m-b)