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konstantin123 [22]
3 years ago
5

Megan is taking piano lessons and gymnastics lessons. She has piano lessons every 7 days and gymnastics every 3 days. How often

does she have both on the same day?
Mathematics
2 answers:
mario62 [17]3 years ago
6 0
Every 3 weeks=21 days. this is because 21 is the lowest common factor of 7 and 3
bija089 [108]3 years ago
6 0
She has both in the same day every 21 days :)
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I think it is D) 6.8
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Sanjay graphs a quadratic function that has x-intercepts of –3 and 7. Which functions could he have graphed?
kykrilka [37]

we will select each options and find zeros

(a)

g(x)=x^2-4x-21

for finding x-intercept , we can set g(x)=0

and then we can solve for x

g(x)=x^2-4x-21=0

now, we can factor it

(x-7)(x+3)=0

we get

x=7,x=-3

so, this is TRUE

(b)

g(x)=(x-3)(x+7)

we can set it to 0

and then we can solve for x

g(x)=(x-3)(x+7)=0

we get

x=3,x=-7

so, this is FALSE

(c)

g(x)=3x^2-12x-63

we can set it to 0

and then we can solve for x

g(x)=3x^2-12x-63 =0

3(x^2-4x-21) =0

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x=-3,x=7

so, this is TRUE

(d)

g(x)=-(x+3)(x-7)

now, we can set it to 0

and then we can solve for x

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so, this is TRUE

(e)

we have

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now, we can set it to 0

and then we can solve for x

g(x)=x^2+4x-21=0

(x+7)(x-3)=0

x=-7,x=3

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5 0
3 years ago
Read 2 more answers
=
ivann1987 [24]

9514 1404 393

Answer:

  • large: 55 lb
  • small: 30 lb

Step-by-step explanation:

Let x and y represent the weights of the large and small boxes, respectively. The problem statement gives rise to the system of equations ...

  x + y = 85 . . . . . combined weight of a large and small box

  70x +50y = 5350 . . . . combined weight of 70 large and 50 small boxes

We can subtract 50 times the first equation from the second to find the weight of a large box.

  (70x +50y) -50(x +y) = (5350) -50(85)

  20x = 1100 . . . . simplify

  x = 55 . . . . . . . divide by 20

Using this in the first equation, we can find the weight of a small box.

  55 +y = 85

  y = 30 . . . . . . . subtract 55

A large box weighs 55 pounds; a small box weighs 30 pounds.

4 0
3 years ago
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motikmotik
Answer: 4.089; 4.870; 4.881; 4.89
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