9514 1404 393
Explanation:
2a+7b=0 . . . . . . . . given [eq1]
3a−5b=31 . . . . . . . .given [eq2]
10a+35b=0 . . . . . . multiplication property of equality 5×[eq1] = [eq3]
21a−35b=217 . . . . .multiplication property of equality 7×[eq2] = [eq4]
31a = 217 . . . . . . . . addition/substitution properties of equality [eq3]+[eq4]
a = 7 . . . . . . . . . . . . division property of equality (÷31)
2(7)+7b=0 . . . . . . . .substitution property of equality; a=7 in [eq1]
14 + 7b = 0 . . . . . . . properties of real numbers
7b=−14 . . . . . . . . . . addition property of equality; add -14
b=−2 . . . . . . . . . . . . division property of equality (÷7)
Answer:
p = 10 7/15
Step-by-step explanation:
p - 3 1/5 = 7 1/3
add -3.20 to both sides
p = 10 7/15
Answer:
A <u>postulate</u> is accepted to be true without proof, while a <u>theorem </u>is an assertion that can be proven using the rules of logic.
Explanation:
In mathematics, a postulate is a statement that is considered to be true without looking for any proof of that statement. Other hypotheses or statements can be tested using a postulate as a standard. A postulate is not only significant in mathematics but also plays an important role in understanding the concept of physics.
A theorem can be described as a statement that can be proved right by using logical pieces of evidence.
Answer:
3,267
Step-by-step explanation:
Fro the statement you can write the following equations:
x+y= 4,356 (1)
y= 3x (2)
x= afternoon perforance
y= evening perforance
Then, you can replace 2 in 1 and isolate x:
x+3x= 4,356
4x= 4,356
x= 4,356/4= 1,089
y= 3x= 3(1,089)= 3,267
According to this, the answer is that for the evening performance 3,267 tickets were sold.