Answer: x=50
Step-by-step explanation:
18*x-(900)=0
Pull out like factors: 18x-900=18x(x-50)
18=0
x-50=0
Add 50 to both sides of the equation:
x=50
Answer:
2 meters
Step-by-step explanation:
The formula for finding the volume of a triangular prism is:
V = 1/2ba * h where b = base length, a = height of base and h = height of prism. In this case, we're solving for a. We know that V = 4.5, b = 1.5 and h = 3 so:
4.5 = 1/2 * 1.5 * a * 3
4.5 = 2.25a
a = 2 meters
Answer: 1
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Step-by-step explanation:
The inequality representing the relationship between the two ticket prices will be y ≥ 1.5x.
<h3>What is inequality?</h3>
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The venue also wants the price of more expensive tickets to be at least 1.5 times the price of the cheaper tickets.
Let x represent the price of cheaper tickets and y be the price of the higher-priced tickets.
Then the inequality representing the relationship between the two ticket prices will be
y ≥ 1.5x
More about the inequality link is given below.
brainly.com/question/19491153
#SPJ1
Answer:
(2a - 5) • (3a - 2)
step by step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4
6a2 - 15a - 4a - 10
Step-4 : Add up the first 2 terms, pulling out like factors :
3a • (2a-5)
Add up the last 2 terms, pulling out common factors :
2 • (2a-5)
Step-5 : Add up the four terms of step 4 :
(3a-2) • (2a-5)
Which is the desired factorization
Final result :
(2a - 5) • (3a - 2)
