Answer:
x=22
Step-by-step explanation:
4x+2+x+3x+2=180
collect like terms
4x+x+3x=180-(2+2)
8x=180-4
8x=176
make x the subject of the formula
x=176/8
x=22
You may recognize that ∆WYZ is a 3-4-5 right triangle. Without any work, then
c = 5
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If you don't remember that a right triangle with legs 3 and 4 has a hypotenuse of 5, you can compute it using the Pythagorean theorem.
c² = 3² + 4²
c² = 9 + 16 = 25
c = √25 = 5
She bought 54 child tickets and 19 adult tickets.
Step-by-step explanation:
No. of tickets purchased = 73
Cost of tickets = $771
Cost of one child ticket = $9
Cost of one adult ticket = $15
Let,
Child ticket = x
Adult ticket = y
According to given statement;
x+y=73 Eqn 1
9x+15y=771 Eqn 2
Multiplying Eqn 1 by 9;

Subtracting Eqn 3 from Eqn 2;

Dividing both sides by 6;

Putting y=19 in Eqn 1

She bought 54 child tickets and 19 adult tickets.
Keywords: linear equations, subtraction
Learn more about linear equations at:
#LearnwithBrainly
Answer:
6/13
Step-by-step explanation:
There are 52 cards in a deck, and 26 of them are red. There are 2 red queens in a deck, so the probability of choosing a red card that is not a queen is 24/52 = 6/13.
Answer:
B. Alex smokes a pack of cigarettes per day even though he knows that he may face poor health down the road because of his smoking habit.
Step-by-step explanation:
Time preference means that the person would like to have temporary but instant satisfaction. In this case, B would be the best choice, for Alex wants to experience the "high" (I guess?) from smoking, even when he knew that there would be health consequences down the road.
In this case, it is not:
A, for Thomas is not going to receive his reward (a profit from the investment) until later on. The money he invest is still "there", but it is technically gone into investment.
C, because this is assuming that retirement is a long way off, and that this would be a long-term investment, rather than a short term.
D, this is a long-term investment, as Sarah "hopes" that she can earn it all back in the future. With what she learns, she, in the long run, wants to find a sustainable & high-paying job.
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