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ValentinkaMS [17]
3 years ago
9

what has to be added to the sum of 2/3 & 3/2 to get 3? give answer as whole number or fraction <question 10 in the image&

gt;

Mathematics
1 answer:
sergeinik [125]3 years ago
8 0
Be x that has to be added to the sum of 2/3 and 3/2
(2/3+3/2)+x=3

Solving for x:
(2*2+3*3)/6+x=3
(4+9)/6+x=3
13/6+x=3
13/6+x-13/6=3-13/6
x=(6*3-13)/6
x=(18-13)/6
x=5/6

Answer: 5/6 has to be added to the sum of 2/3 and 3/2 to get 3
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One cell phone company offers a plan that costs $23.99 and includes unlimited night and weekend
MrMuchimi

Answer: 18 minutes

Step-by-step explanation:

Plan one: 23.99

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We can subtract our main payment plans that don’t include variables, 23.99-17.99=6. We can then divide by our constant... 6/0.35 to get 17.14... minutes. so we can round up to 18 mins.

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6 0
3 years ago
Function f approximately represents the trajectory of an airplane in an air show, where x is the horizontal distance of the flig
UNO [17]

Answer:

C. is your answer

Step-by-step explanation:

In order to determine the line of symmetry, it would help to put this standard form parabola into vertex form, which is

y=a(x-h)^2+k,

where x = h is the equation of the line of symmetry.

To get this into vertex form we will complete the square.  The first couple of steps I will combine into 1.  We will set the quadratic equal to zero, then move the constant over to the other side:

88x^2-264x=-300

The next rule is that the leading coefficient HAS to be a positive 1.  Ours is a positive 88, so we have to factor it out:

88(x^2-3x)=300

Now we can perform the process of completing the square.  The rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 3.  Half of 3 is 3/2, and 3/2 squared is 9/2.  We will add 9/2 inside the parenthesis on the left, but don't forget about that 88 sitting out front which refuses to be ignored.  It serves as a multiplier into the parenthesis.  What we actually added in, then, was 88(9/2) which is 198:

88(x^2-3x+\frac{9}{4})=-300+198

The purpose of completing the square is to give us a perfect square binomial which serves as the axis of symmetry of the parabola and also gives us the h coordinate of the vertex.  We will state that binomial and at the same time do the addition on the right:

88(x-\frac{3}{2})^2=-102

Now we can move the constant back over and set it back equal to y:

y=88(x-\frac{3}{2})^2+102

From that form you can see that the equation of the line of symmetry is x = 1.5.  The coordinates of the vertex are (1.5, 102).  If we move 1 unit to the left of the vertex, or 1 unit to the right of the vertex, we will be at the same height.

C then is your answer.

3 0
3 years ago
Read 2 more answers
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