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pochemuha
3 years ago
13

Your friend gave you a gift card to a new restaurant. After you spend $36$36 on dinner, there is a balance of $44$44 left on the

gift card. What was the original gift card amount?
Mathematics
2 answers:
JulsSmile [24]3 years ago
4 0
80 dollars was the original balance

Mars2501 [29]3 years ago
3 0

Answer:

80 dollars.

Step-by-step explanation:

To calculate this we just create a simple equation, where the total will be represented by x, so total will equal the remaining money + the spent money:

Total= Remaining `+ Spent

X=$44+ $36

x= $80

So the origina amount in the gift card was $80.

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Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x , with ini
Svetach [21]
For this case we have the following difference equation:
 dy / dx = 3xy

 Applying separable variables we have:
 dy / y = 3xdx

 Integrating both sides we have:
 \int\ ({1/y}) \, dy =  \int\ {3x} \, dx
 ln (y) = (3/2) x ^ 2 + C

 applying exponential to both sides:
 exp (ln (y)) = exp ((3/2) x ^ 2 + C)

 y = C * exp ((3/2) x ^ 2)
 For y (1) = 1 we have:
 C = 1 / (exp ((3/2) * 1 ^ 2))

C = 0.2
 Thus, the particular solution is:
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 Answer:
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6 0
3 years ago
3x−12≥15<br><br> 2x−5≤9<br><br> 5x+8≤53<br><br> 3x−5≥16
zalisa [80]

Answer:

Step-by-step explanation:

A) 3x−12≥15

3x ≥ 15 + 12

3x ≥ 27

or x≥ 9

B) 2x−5≤9

2x ≤ 9 +5

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or x ≤ 7

C) 5x+8≤53

5x ≤ 53 -8

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or x ≤ 9

D) 3x−5≥16

3x ≥ 16 + 5

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or x ≥ 7

Have a good day!

8 0
3 years ago
Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
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Monica [59]
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Someone know how to do this Im very confusing about how to do it
Sidana [21]
It would be e, because it went down 10 instead of 5
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