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12345 [234]
1 year ago
8

Abril and Alanis put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes af

ter certain amounts of time (x), in weeks, are shown by the equations below:
Abril
y = 50x + 10

Alanis
y = 30x + 70

After how many weeks will Abril and Alanis have the same amount of money in their money boxes, and what will that amount be? (1 point)


3 weeks, $160

3 weeks, $210

4 weeks, $160

4 weeks, $210
Mathematics
1 answer:
AnnZ [28]1 year ago
8 0

Answer:

  • A. 3 weeks, $160

Step-by-step explanation:

If the value of y is same for both then we have equal right sides of equations

  • 50x + 10 = 30x + 70

Solve this for x

  • 50x - 30x = 70 - 10
  • 20x = 60
  • x = 60/20
  • x = 3

Find the value of y

  • y = 50*3 + 10 = 150 + 10 = 160

Correct choice is A

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Solve the system by graphing. Y=2x-9 y=-2x-1
sattari [20]

Answer:

(2,-5)

Step-by-step explanation:

See attachment

One can also solve this by calculation:

y=2x-9

y=-2x-1

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Rearrange either equation to find x.  I'll use the first:

y=2x-9

2x = y+9

x = (y+9)/2

Now use this value of x in the second equation:

y =  -2x-1

y =-2((y+9)/2)-1

y = (-2y-18)/2)-1

y = -y -9 - 1

2y = -10

y = -5

Now use -5 for y in the rearranged equation:

y =  -2x-1

-5 =  -2x-1

-2x = -4

x = 2

Solution is (2,-5)

But the question wants a graph solution, which is also fun when you use DESMOS.

4 0
2 years ago
Kat plays a surfing video game with a friend. Each player earns 50 points for each trick he performs, but loses 40 points each t
Dahasolnce [82]

Step-by-step explanation:

No. of points got from 1 stunt = 50.

No. of points deducted from 1 fail = 40.

6 stunts and 9 falls were gained last week.

So, A/C the number of points earned =

(6×50)-(9×40)

= 300 - 360

= -60

Her score today is 3 times her score from last week so multiply by 3

= (-60) × 3

= -180

If it were multiplied by -3 instead of 3 it would be...

(-60) × (-3)

= 180

The difference would be that on multiplying with positive 3 she would be 180 points in the whole but multiplying with negative three means she is 180 points in the league.

The similarity is that that whole number is same but the symbol adds a difference and the absolute value would be same too.

3 0
2 years ago
What is the answer to this?
yKpoI14uk [10]

Answer:

I think it is 24 but I don't know the rest sorry 乁( •_• )ㄏ

7 0
3 years ago
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What is the range of the function y=\cos 2x ?
sattari [20]
All real numbers is the answer
7 0
3 years ago
N order to write an expression like (5x + 4)3 in expanded form, it helps to look at (5x + 4) as just one number, n.
Vladimir79 [104]

The expression (5x + 4)^3 in expanded form is 125 x3 + 300 x2 + 240 x + 64.  The expression will have also a root of x = -4/5. This is the form of trinomial expansion and can be  solve by multiplying the the term 3 times.

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2 years ago
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