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vladimir2022 [97]
4 years ago
8

A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack

has 6 hotdogs and each large pack has 12 hotdogs. The school bought 13 packs of hotdogs that have a total of 102 hotdogs. How many small packs sold and how many large packs sold
Mathematics
1 answer:
Savatey [412]4 years ago
8 0

Answer:

9 small packs sold and 4 large packs sold

Step-by-step explanation:

Let's S be the number of small pack and L be the number of large pack. We have

S + L = 13 packs as the total number of hotdog packs

6S + 12L = 102 packs as the total number of hotdogs

We can divide both sides of the equation above by 6 then

S + 2L = 17

The subtract the S+L = 13 equation from this equation we get

S + 2L - S - L = 17 - 13 = 4

L = 4 packs

then S = 13 - 4 = 9 packs

So there were 9 small packs sold and 4 large packs sold

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Answer:

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3 years ago
Answerr plz who should have possession of the city of Jerusalem, the Jews or the Palestinians?
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It would be in possession of the Palestinians
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3 years ago
Need help with this math problem
Shkiper50 [21]

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

=\frac{Y1-Y2}{X1-X2}

=\frac{9-1}{4-16}

=\frac{8}{-12}

=\frac{-2}{3}

The question says "  Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB =\frac{-2}{3}

m==\frac{-2}{3}

We can write, the equation of the target line is

y=\frac{-2}{3}x + c

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

y=\frac{-2}{3}x + c

12=\frac{-2}{3}13 + c

12=\frac{-26}{3} + c

12+\frac{26}{3}=c

c= 12+\frac{26}{3}

c= \frac{62}{3}

Replacing the value

the equation of the target line is

y=\frac{-2}{3}x + c

y=\frac{-2}{3}x +  \frac{62}{3}

3y= -2x + 62

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is  3y= -2x + 62

3(-8)= -2(18) + 62

(-24)= (-36) + 62

(-24)= (-36) + 62

(-24)= 26

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

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alexgriva [62]

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Step-by-step explanation:

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Drag and drop a statement or reason to each box to complete the proof.
Inga [223]

Answer:

Given : EFGH is a Parallelogram

Prove : EG Bisects HF , HF Bisects EG

Step-by-step explanation:

Proof

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