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elena-s [515]
3 years ago
13

A store is having a sale on chocolate chips and walnuts. For 3 pounds of chocolate chips and 5 pounds of walnuts, the total cost

is $16. For 6 pounds of
chocolate chips and 2 pounds of walnuts, the total cost is $22. Find the cost for each pound of chocolate chips and each pound of walnuts.
Cost for each pound of chocolate chips: $
Cost for each pound of walnuts: $
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
5 0

Answer:

Step-by-step explanation:

3c + 5w = 16

6c + 2w = 22

-6c - 10w = -32

6c  + 2w = 22

-8w = -10

w = 10/8 = 5/4 = $1.25 per lb

3c + 5(1.25) = 16

3c + 6.25 = 16

3c = 9.75

c = $3.25 per lb

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goldfiish [28.3K]

Answer:

Data Set 1: 20

Data Set 2: 25

Step-by-step explanation:

Range = maximum value - minimum value

Range of Data Set 1:

Maximum value of data set 1 = 40

Minimum value of data set 1 = 20

Range of Data Set 1 = 40 - 20 = 20

Range of Data Set 2:

Maximum value of data set 2 = 60

Minimum value of data set 2 = 35

Range of Data Set 2 = 60 - 35 = 25

7 0
3 years ago
What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)
Minchanka [31]
ANSWER

(3, 11) and (−3, −7)


EXPLANATION

The given system of equations are:


y =  {x}^{2}  + 3x - 7

and

3x - y =  - 2

or

y = 3x  + 2


We equate the two equations to obtain,



{x}^{2}  + 3x - 7 = 3x + 2

We rewrite in standard quadratic form to obtain,

{x}^{2}  + 3x  - 3x - 7 - 2 = 0


This simplifies to

{x}^{2}- 9= 0


We solve for x to obtain,


{x}^{2}  = 9

x =  \pm \sqrt{9}

x =  \pm 3

x = 3 \: or \: x =  - 3

When
x = 3

y = 3(3) + 2 = 11

When x=-3,

y = 3(  - 3) + 2 =  - 7


Therefore the solution for the system is (3, 11) and (−3, −7).
7 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

Primero tienes que encontrar el número que te encuentres con 5 y con el mismo número lo haces con 7.

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Step-by-step explanation:

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Step-by-step explanation:

You have to divide $14,196 by 60 months to get $236.60.

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