Answer:
x=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(x−4)=−3
(3)(x)+(3)(−4)=−3(Distribute)
3x+−12=−3
3x−12=−3
Step 2: Add 12 to both sides.
3x−12+12=−3+12
3x=9
Step 3: Divide both sides by 3.
3x
3
=
9
3
x=3
Answer:
9x + 6 ⇒ 3(3x + 2)
3 friends; 1 ticket: 3x + 2
Step-by-step explanation:
To write 9x + 6 as a product, you have to factor it by factoring out a 3 (which fits into both 9 and 6). This will look like: 3(3x + 2)
The question wants to know how many friends went to the movies (which is already given), but the answer is 3 because you factored a 3 out of the total cost for the movies.
The expression 3x + 2 (the expression inside the parentheses represents the cost of a single movie ticket because 3 of these represented the cost for 3 people, but since it has been divided by 3 (3/3 = 1) this only represents the cost of a movie ticket for one.
Answer:
Yes
Step-by-step explanation:
A right triangle's formula, according to Pythagorean's Theorem, is a² + b² = c². a and b are the two legs, and c is the hypotenuse. To solve, we must substitute the variables with the given measurements.
9² + 12² = 15²
Let's now solve:
81 + 144 = 225
225 = 225
The formula works out in the end, so it is a right triangle!
Answer:
Number line graph with closed circle on 24 and shading to the right.
Step-by-step explanation:
First, the graph has to have a closed circle on only 24.
Since she has $61 and needs at least $85 to buy a skateboard, she needs to have at least $24 saved to buy one.
This means the last 2 answer choices are wrong, because there cannot be shading in between.
The first answer choice is also wrong because it puts a open circle, instead of a closed one, on 24.
So, the correct answer is Number line graph with closed circle on 24 and shading to the right.