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saw5 [17]
3 years ago
12

At the county fair, the Baxter family bought 6 hot dogs and 4 juice drinks for $14.70. The Farley family bought 3 hot dogs and 4

juice drinks for $9.45. Find the price of a hot dog and the price of a juice drink.
Mathematics
1 answer:
photoshop1234 [79]3 years ago
6 0

Answer:

A hot dog would cost 1.75 and the juice would cost 1.05

Step-by-step explanation:

In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.

6x + 4y = 14.70

3x + 4y = 9.45

Now we can mutliply the second equation by -2 to get the x values to cancel out.

6x + 4y = 14.70

-6x - 8y = -18.90

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

-4y = -4.20

y = 1.05

Now that we have this, we can plug it into either equation to find the cost of a hot dog.

3x + 4y = 9.45

3x + 4(1.05) = 9.45

3x + 4.20 = 9.45

3x = 5.25

x = 1.75

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Answer:

Check below for a lucid explanation.

Step-by-step explanation:

The independent variable is the variable whose variation does not depend on another external variable. It is the variable on the x-axis which in this case is the growth of the baby.

Note: The diagram you attached to this question does not include the calibration on the x - axis which will give us the independent variable at point

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3 years ago
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Svetlanka [38]

Answer:

D

Step-by-step explanation:

4 + 12 + 18 + 68=  102/2 51

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51:98

5 0
3 years ago
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8x = 2y + 5 3x = y + 7 Solve the system of equations by substitution.
jasenka [17]
<span>3x = y + 7
</span><span> y =3x-7
</span>
<span>8x = 2y + 5
</span><span>8x = 2(3x-7) + 5
8x=6x-14+5
8x-6x=-9
2x=-9
x=-4.5

</span><span>8x = 2y + 5
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8 0
4 years ago
HELP PLS WILL GIVE A LOT OF POINT
sveta [45]

Answer:

large = 18 3/4 = 18.75

small = 13/2 = 6 1/2 = 6.5

Step-by-step explanation:

Let l = the weight of large boxes

s = weight of small boxes

2 large and 3 small weights 57

2l+3s = 57

6 large and 5 small wights 145

6l+5s = 145

Multiply the first equation by 3

3(2l+3s) = 57*3

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Subtract the second equation

6l +9s =171

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

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Divide each side by 4

4s/4 = 26/4

s = 26/4 = 13/2

Substitute this into the first equation

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Multiply by 2 to get rid of the fractions

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4l + 39 = 114

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7 0
3 years ago
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The lights go out, your bedroom is pitch dark, yet you still need to find a pair of socks, in your drawer there is 25 white sock
Lerok [7]

Answer: At most 3

Step-by-step explanation:

If there are 25 white socks and 25 red socks, a matching pair would be picked in at most 3 times.

The first sock you pick would be either White or Red

The second sock you pick would be either white or red again which means that you now either have 2 whites, 2 reds or 1 white and 1 red.

The third sock you pick will either be white or red once more. At this point you will either have 3 whites, 3 reds, 2 whites and 1 red or 2 reds and 1 white.

You will therefore have at least a matching pair after 3 tries.

8 0
3 years ago
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