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natka813 [3]
3 years ago
6

A fish market bought two swordfish at a rate of $13 per pound. the cost of the larger fish was 3 times as great as the cost of t

he smaller fish. the total cost of the two fish was $3952. How much did each fish weigh?
Mathematics
2 answers:
Leokris [45]3 years ago
6 0
Very simple. divide 3952 by 4, because the larger fish is 3 times the amount of the small fish, so there are 4 groups. Multiply it by 3 for the larger fish and keep it for the small fish.  Then, divide the products by 13 because the quotient is the amount of money each fish costs. There you have your answer!
Ganezh [65]3 years ago
3 0

Let

x--------> the cost of the larger fish

y--------> the cost of the smaller fish

we know that

x+y=\$3,952 -------> equation A

x=3y  -------> equation B

Step 1

<u>Solve the system of linear equations</u>

Substitute equation B in equation A

3y+y=\$3,952

4y=\$3,952

y=\$3,952/4

y=\$988

<u>Find the value of x</u>

x=3*988=\$2,964

Step 2

<u>Find the weigh of each fish</u>

we know that

the rate is 13\frac{\$}{pound}

To obtain the weigh of the fish divide the cost of the fish by the rate

<u>Larger fish</u>

<u>\frac{2,964}{13} =228\ pounds</u>

<u>Smaller fish</u>

<u>\frac{988}{13} =76\ pounds</u>

therefore

<u>the answer is</u>

The weigh of the larger fish was <u>228\ pounds</u>

The weigh of the smallerr fish was <u>76\ pounds</u>


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Dylan opened a credit card account with $750.00 of available credit. Now that he has made some purchases, Dylan's account only h
barxatty [35]

Answer:

45%

Step-by-step explanation:

The formula to work out the decrease is:

Percentage Decrease= actual decrease / original amount X 100%

1) So firstly, we have to work out the decrease, to do this we have to do is do $750-$412.50= $337.50

2) We can now substitute this into our formula which will now be. (We will also add the original amount, which is $750.00)

Percentage Decrease= 337.50 / 750.00 X 100% = 45

The percentage decrease is 45%

8 0
3 years ago
85 orders in 17 days = ? orders in 12 days
tamaranim1 [39]

Answer:

60

Step-by-step explanation:

Let the order be x

Solution

85/x= 17/12

1020=17x

1020/17=x

x=60

4 0
3 years ago
What are the correct answers and why? Simple and concise explanation please!!!
dezoksy [38]

Answer:

\large\boxed{-\bigg[(x-3)^2+2x\bigg]+1}\\\\\boxed{-x^2+4x-8}

Step-by-step explanation:

(g\ \circ\ f)(x)=g\bigg(f(x)\bigg)

f(x)=(x-3)^2+2x\\\\g(x)=-x+1\\\\g\ \circ\ f\to\text{put f(x) instead of x in the function g(x)}:\\\\(g\ \circ\ f)(x)=-\bigg[\underbrace{(x-3)^2+2x}_{x}\bigg]+1

-----------------------------------------

-\bigg[(x-3)^2+2x\bigg]+1=-(x-3)^2-2x+1\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=-(x^2-(2)(x)(3)+3^2)-2x+1=-(x^2-6x+9)-2x+1\\\\=-x^2-(-6x)-9-2x+1=-x^2+6x-9-2x+1\\\\\text{combine like terms}\\\\=-x^2+(6x-2x)+(-9+1)=-x^2+4x-8

-----------------------------------

-x^2+4x-8=-x^2+4x-2^2+2^2-8=-(x^2-4x+2^2)+4-8\\\\=-(\underbrace{x^2-(2)(x)(2)+2^2}_{(a-b)^2=a^2-2ab+b^2})-4=-(x-2)^2-4=-(x+1-3)^2-4

In\ (-x+1-3)^2+2x,\ x^2\ will\ be\ positive.\\In\ (-x+1-3)^2+2(-x+1),\ x^2\ will\ be\ positive.

6 0
3 years ago
Read 2 more answers
What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2
erik [133]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>(-1, 3)</em>

▹ Step-by-Step Explanation

y - 4x = 7

2y + 4x = 2

<u>Substitute</u>

y - (2 - 2y) = 7

<u>Solve</u>

y = 3

<u>Substitute</u>

4x = 2 - 2 * 3

<u>Solve</u>

x = -1

<u>Final Answer</u>

(x, y) = (-1, 3)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

4 0
3 years ago
Find the quotient of n(x) = 6x^5y^7 and m(x) = 2x^3y
likoan [24]

Answer:

a.  Yes

b.  Yes

c. Yes

d. Degree 8

Step-by-step explanation:

a. Yes, n(x) is a polynomial of one single term (also called monomial) because it contains variables raised to positive integers.

b. Yes, m(x) is a polynomial of also one single term (also called monomial) because it contains variables raised to positive integers.

c. The quotient of n(x) / m(x) can be reduced to a polynomial of one single term as follows:

\frac{n(x)}{m(x)} =\frac{6\,x^5\,y^7}{2\,x^3\,y} =3\,x^2\,y^6

which as can be seen, also contains variables raised to positive integers.

d. The degree of the polynomial resultant is the addition of the powers of all variables present (x and y) which results in: 2 + 6 = 8

Therefore the degree of this polynomial is 8.

6 0
3 years ago
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