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BartSMP [9]
3 years ago
13

Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 j

ars of dipping sauce for $16.86. What is the price of one jar of dipping sauce?

Mathematics
1 answer:
mr_godi [17]3 years ago
7 0

Answer:

The price of one jar of dipping sauce is $2.98

Step-by-step explanation:

Let

x ----> the price of one bag of chip

y ----> the price of one jar of dipping sauce

we know that

<em>Corinne</em>

5x+4y=21.82 ----> equation A

<em>Ginger</em>

4x+3y=16.86 ----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (1.98,2.98)

see the attached figure

therefore

The price of one bag of chip is $1.98

The price of one jar of dipping sauce is $2.98

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In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
Elden [556K]

Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

Hence, the required number of ways =27434

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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The way you figure this out is::

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hope I helped, best wishes to your future studies...

-a


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