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Stolb23 [73]
3 years ago
11

Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used. He has another gift card for $145 that loses

$3.50 for each 30-day period it is not used. Write an equation for the number of 30-day periods until the value of the gift cards will be equal. Let x represent the number of 30-day periods.
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

x=20

Step-by-step explanation:

Let  = a 30 day period

The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)

The second equation is 40-1.5x

Set them equal to each other:  50 - 2x = 40 - 1.5x

Solve for x:

50 - 2x = 40 - 1.5 x

    +2x         +2x

-----------------------

50 = 40 + 0.5 x

-40   -40

-------------------

10 = 0.5 x

20 = x

So there will be 20 30-day periods until the cards will be equal in value.

Check:  After 20 periods, 50 - 2(20) = $10 left

40 - 1.5(20) = also $10 left

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4 0
3 years ago
I can't figure it out
Aneli [31]

Answer:

see explanation

Step-by-step explanation:

Given

x - 6y = 18

To find the x- intercept let y = 0 in the equation and solve for x, that is

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- 6y = 18 ( divide both sides by - 3 )

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3 years ago
Ahn had walked 8 blocks. He was 25% of the way to school. How many total blocks was his walk to school?
Sedaia [141]
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3 0
2 years ago
How do i solve this?
vovikov84 [41]

Answer:

x = 4

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Step-by-step explanation:

It is given that figure (NPQR) is a square. One property of a square is that all sides of a square are congruent. This property also applies to the given square, thus one can make the following statement;

PQ = NR

Substitute,

10y - 29 = 5y + 16

Inverse operations,

10y - 29 = 5y + 16

-5y           -5y

5y - 29 = 16

    +29   +29

5y = 45

/5     /5

y = 9

Another property of a square is that all of the interior angles of a square have a measure of (90) degrees. Moreover, the diagonals (segment connect non-adjacent vertices) bisect these angles. Thus, twice the measure of an angle formed between a side and a diagonal forms a (90) degree angle. Therefore, one can draw the following conclusion;

2(m<QPR) = 90

Substitute,

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Simplify,

12x + 42 = 90

Inverse operations,

12x + 42 = 90

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12x = 48

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3 years ago
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Lana71 [14]

Answer:

8:125

Step-by-step explanation:

The ratio of the lengths would be the scale factor

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8 0
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