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timofeeve [1]
3 years ago
14

Choice A: 3 nights and one meal for $ 250

Mathematics
1 answer:
poizon [28]3 years ago
6 0
N = number of nights
M = number of meals
n = cost per night
m = cost per meal
T = total cost

Nn + Mm = T

They give us two scenarios :

1. N = 3 and M = 1 and T = 250

3n + 1m = 250

2. N = 3 and M = 6 and T = 330

3n + 6m = 330

Thus, we have a system of equations.

In the first equation, solve for m. 

m = 250 - 3n

Now, plug this into the second equation and solve for n.

3n + 6m = 330
3n + 6(250 - 3n) = 330
3n + 1500 - 18n = 330
-15n = -1170
n = $78

Now, plug this back into our equation for m and solve.

m = 250 - 3n
m = 250 - 3(78)
m = 250 - 234
m = $16

Thus, it costs $78 per night and $16 per meal.
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Answer:

They'll meet after 200 meters , if they simultaneously start running towards each other.

Step-by-step explanation:

Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.

Dog: Distance =Speed x time: x=30t

Cat: Distance = 200-x

=24t

The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs

So they will meet after 3.7 seconds

To check:

Distance travelled by dog :x=30(3.7)

=111.11 meters

Distance travelled by cat: 24t=24(3.7)

=88.89 meters

Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89

=200 meters

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2 years ago
How do i make a equation with infinite solutions?
Igoryamba

Essentially, what you need to do is ensure that both sides cancel each other out to make 0 = 0

An example:

2(x + y) + 4 = (4x + 4y + 8)/2

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Which expression is NOT equivalent to −38⋅(−4+12)? Drag this expression to the box.
lesya [120]

I had this question so here's the answer and explanation! :)

Answer:

The answer to your question is the first option :D

Step-by-step explanation:

Original expression

                                -3/8 (-4 + 1/2)

First option    -3/8 (-4)  + (3/8)(1/2)       This option is not equivalent because

                                                             they forgot the negative sign of the

                                                             second term.

Second option (-3/8)(-4) + (-3/8)(1/2)    This option is equivalent to the

                                                              original. Distributive property

Third option    (-3/2)(-3 1/2)                 This option is equivalent to the original

Fourth option  (-3/8)(-3) + (-3/8)(-1/2)  This option is equivalent to the original

HOPE THIS HELPS :)

5 0
3 years ago
Read 2 more answers
Please help.<br><br> Solve 2 - 4
Alex777 [14]

Answer:

2. 1080

3. 56

4. $1665

Step-by-step explanation:

2. 1080 (/6), 180 (/6), 30 (/6), 5

3. 4(6 + 8) = 4 x 14 = 56

4. $75 + 30(53) = $75 + 1590 = $1665

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