Answer:options B and D are the correct answers.
Step-by-step explanation:
The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x.
The function is defined by
C(x) = 30x
The values of x must be whole numbers. Therefore, the possible outputs for the defined function would be
B. 30 which means the cost for only one student.
D. 90 which means the total cost for 3 students.
Answer:
Step-by-step explanation:
Let's write a system of equations. I'm going to call them w, x, y, and z.
w = 4x (because m∠1 is 4 times m∠2)
w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)
w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)
y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)
When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!
Answer:
Step-by-step explanation:
hello :
the degree of polynomial is : 7
A. Alright, we want to multiply one equation by a constant to make it cancel out with the second. Since the first equation has a "blank" y, let's multiply the first equation by <em>2</em>.
3x-y=0 → 2(3x-y=0) = 6x - 2y = 0
5x+2y=22
The answer for this part would be: 6x - 2y = 0 and 5x + 2y = 22
B. So now we combine them:
6x - 2y = 0
+ + +
5x + 2y = 22
= = =
11x + 0 = 22 ← The answer
C. Now that we have the equation 11x = 22, we solve for x
11x = 22 ← Divide both sides by 11
x = 2 ← The answer
D. Now that we have x=2, we plug that back in to 5x+2y=22 and solve for y:
5(2)+2y = 22
10 + 2y = 22
2y = 12
y = 6
<u>Therefore, the solution to this problem is x = 2 and y = 6</u>
Answer:
400$
Step-by-step explanation:
100$ is 25% of 400
