Answer:
Y<3Z
Step-by-step explanation:
Y<3*Z
Y<3Z
Answer:
2 < AB < 18
Step-by-step explanation:
Answer:
Children: $13
Adults: $18
Step-by-step explanation:
Well for both sets we can set up the following system of equations,

So first we need to solve for a in the first equation.
3a + 4c = 106
-4c to both sides
3a = -4c + 106
Divide 3 by both sides
<u>a = -4/3c + 35 1/3</u>
Now we plug in that a for a in 2a + 3c = 75.
2(-4/3c + 35 1/3) + 3c = 75
-8/3c + 70 2/3 + 3c = 75
Combine like terms
1/3c + 70 2/3 = 75
-70 2/3 to both sides
1/3c = 4 1/3
Divide 1/3 to both sides
c = 13
Now we can plug in 13 for c in 3a + 4c = 106,
3a + 4(13) = 106
3a + 52 = 106
-52 to both sides
3a = 54
Divide 3 by both sides.
a = 18
<em>Thus,</em>
<em>an adult ticket is $18 and a children's ticket is $13.</em>
<em />
<em>Hope this helps :)</em>
Answer:
280 downloads
Step-by-step explanation:
-let x denote the number of standard version downloads.
-Given that the high-quality version was downloaded four times as often as the standard version it is denoted as 4x
-This can then be expressed as:

Hence, the number of standard version downloads is 280
Answer:
<em>9%</em>
Step-by-step explanation:
Original rectangle: 100 cm by 200 cm
Original area: 100 cm * 200 cm = 20,000 cm^2
Reduced by 70%, the measures are now 30% of they they were.
30% of 100 cm = 30 cm
30% of 200 cm = 60 cm
New area: 30 cm * 60 cm = 1800 cm^3
New area equals what percent of original area?
1800/20,000 * 100 = 9%