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ra1l [238]
2 years ago
7

Melissa buys 212 pounds of salmon and 114 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pou

nd less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish? A. $15.60 B. $15.80 C. $16.60 D. $16.80
Mathematics
1 answer:
eimsori [14]2 years ago
3 0

Answer:

C. $16.60

Step-by-step explanation:

Let the cost per pound of salmon be represented by x

The cost per pound of swordfish be represented by y

Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25

2.5 × x + 1.25× y = $31.25

2.5x + 1.25y = 31.25

The swordfish costs $0.20 per pound less than the salmon.

y = x - 0.20

Hence, we substitute

2.5x + 1.25y = 31.25

2.5y + 1.25(x - 0.20) = 31.25

2.5y + 1.25x - 0.25 = 31.25

2.5x + 1.25x = 31.25 + 0.25

3.75x = 31.5

x = 31.5/3.75

x = $8.4

The cost per pound of salmon be represented by x = $8.4

y = x - 0.20

y = 8.4 - 0.20

y = $8.2

The cost per pound of swordfish be represented by y = $8.2

The cost of a pound of salmon and sword fish

= $8.4 + $8.2

=$16.60

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Allison invested $70,000 in an account paying an interest rate of 6.2%
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Answer and Step-by-step explanation:

First, you need to make the function to represent the information given.

We start with 70,000 in the account, and have an interest rate of 6.2%.

We want to know how long it will take to get $223,200.

The equation for simple interest is:

A = P(1 + rt)

Where A is the total amount, P is the principle amount of money, r is the rate, and t is the time.

Now, we plug in the values and solve for t.

223,200 = 70,000(1+6.2t)

\frac{\frac{223,200}{70,000} -1}{6.2}  = t

t = 0.353

Multiply by 100 to get the years.

t = 35.3

So, it will take Allison 35.3 years to get 70,000 dollars to 223,200 dollar with an interest rate of 6.2%

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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2 years ago
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Elena L [17]

Answer:

Region D.

Step-by-step explanation:

Here we have two inequalities:

y ≤ 1/2x − 3

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y ≤ 1/2x − 3

y must be smaller or equal than the solid line, so here we look at the regions below the solid line, which are region D and region C.

Now let's look at the other one:

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And we have:

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The solution for the system:

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81 times 11 is 891
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3 years ago
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Adam plans to choose a video game from a section of the store where everything is 75%
Minchanka [31]

Answer:

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