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marysya [2.9K]
3 years ago
5

A girl works at a​ delicatessen, and it is her turn to make the zesty olive blend. If arbequina olives are ​$4 per pound and gre

en olives are ​$25 per​ pound, how much of each kind of olive should she mix to get 7 pounds of zesty olive blend that will sell for ​$10 a​ pound?
Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
Let A = the weight of arbequina olives in the mix
Let G = the weight of green olives in the mix

Since we know that the mix is 5 pounds total, we have this:
G + A = 5
G = 5 - A

We are asked for 5 pounds of mix that will sell for $6 per pound, so the total cost is $30.


Therefore, we can form the following equation:

A*9 + G*4 = 30

Using substitution, we can express G in terms of A:

9A + 4*(5-A) = 30
9A + 20 -4A = 30
5A + 20 = 30
5A = 10
A = 2

Therefore A = 2 and G = 3
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Hannah and Anthony are siblings Who have ages that are consecutive odd numbers do some of their ages is 92 which equations could
baherus [9]
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3 years ago
Select all the sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains.
ExtremeBDS [4]

<u>The sets of ordered pairs that the graph of the equation y − 1 = −2(x − 2) contains:</u>

  • (0, 5) and (−2, 9)
  • (−1, 7) and (2, 1)

Answer: Option B and C

<u>Step-by-step explanation:</u>

Given that  the equation of line is y - 1 = -2 (x - 2) . Now after solving the above equation, we can write the above equation as

                    y = - 2 x + 5

Substitute the coordinates of each set of given ordered pairs into the above equation to find out which belong to the graph of that given equation

A.(0, −2) and (1, 3)

-2 = -2(0)+5 which gives -2 = 5

3 = -2(1)+5 which gives 3=3 and denotes not contain the set of ordered pairs

B. (0, 5) and (−2, 9)

5 = -2(0)+5 which gives 5=5  

9= -2(-2)+5 which gives 9=9 and denotes the set of ordered pairs

C. (−1, 7) and (2, 1)

7 = -2(-1)+5 which gives 7=7

1 = -2(2 )+5 which gives 1=1 and denotes the set of ordered pairs

D. (3, −1) and (2, −1)

-1 = -2(3)+5 which gives -1 = -1

-1 = -2(2)+5 which gives -1 = 1 and denotes not contain the set of ordered pairs

E. (1, 2) and (4, 3)

2 = -2(1)+5 which gives 2 = 3

3 = -2(4)+5 which gives 3 = -3 and denotes not contain the set of ordered pairs

Now, the above equation is satisfied by the given options B and C as on putting the value of x and y one by one then we find out that those are satisfying the given expression.

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4 years ago
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ipn [44]

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22 = 72/w +w

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alukav5142 [94]

Answer:

C

Step-by-step explanation:

Most of the times C is the answer on a test

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