Answer:
108 student tickets, and 176 adult tickets were sold
Step-by-step explanation:
Adult ticket $8 Call the number of adult tickets sold "a"
Student ticket $5 Call the number of student tickets sold "s"
Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284
Then we create two different equations with the information given:
a + s = 284
8 * a + 5 * s = 1948
we can solve for s in the first equation as follows: s = 284 - a
and use it in the second equation
8 a + 5 (284 - a) = 1948
8 a + 1420 - 5 a = 1948
combining
3 a = 528
a = 528/3
a = 176
we find the number of student tickets using this answer in the substitution equation we used:
s - 284 - 176 = 108
Therefore 108 student tickets, and 176 adult tickets were sold.
Answer:
5^6
Step-by-step explanation:
This is because the exponent is how many numbers are in the multiplication equation, in this case, five. Because there are six five's being multiplied together, our exponent is six.
Allow me to review before I start. Inconsistent means there's no solution to the system of simultaneous equations, i.e. parallel lines. Consistent means there's at least one solution. Independent and dependent apply to consistent systems. The former means exactly one solution (two lines in different directions which meet). Dependent means an infinite number of solution; the two lines are really the same line.
1. We have two different slopes, lines in two different directions, so they'll meet in exactly one place. That system is consistent and independent, the usual case.
2. We can write the first one y-3x= -2 and the second y-3x=+2. These are parallel lines that are different, so no solution: inconsistent.
3. The first equation is x+2y=4, same as the second. An infinite number of solutions. Consistent and dependent.
Answer:
In PEMDAS the E stands for exponents so if you see a problem with exponents and there is no parentheses you would just do exponents first.
Step-by-step explanation:
PLZ MARK BRAINLIEST if not that's fine (:
Answer: b) 1510 vehicles
<u>Step-by-step explanation:</u>
Total: 5 miles x 5280 ft per mile = 26,400
Cars: 80% of vehicles are cars with a length of 13.5 = 0.8(13.5)v = 10.8v
Trucks: 20% of vehicles are trucks with length of 20 = 0.2(20)v = 4v
Between: Distance between two vehicles is 3: (3/2)v = 1.5v
Total = Cars + Trucks + Between
26,400 = 10.8v + 4v + 1.5v
26,400 = 16.3v
1619.6 = v
the closest number of all of the options is (b) 1510
