Suppose that the total annual consumption of salmon in a certain country is given by y = 5.59x + 837.5 and that the total annual consumption of tuna in this country is given by y = 1.49x + 878.5, where consumption is measured in millions of pounds and x is the number of years since 2010. When consumption of salmon reaches consumption of tuna, what is the annual consumption of salmon? 897.87 million pounds 890.42 million pounds 894.89 million pounds 893.4 million pounds

Answers

Answer 1

Answer:

893.4 million pounds

Step-by-step explanation:

Total annual consumption of salmon is given by [tex]y=5.59x+837.5[/tex]

Total annual consumption of tuna is given by [tex]y=1.49x+878.5[/tex]

As consumption of salmon is equal to the consumption of tuna,

[tex]5.59x+837.5=1.49x+878.5\\5.59x-1.49x=878.5-837.5\\4.1x=41\\x=\frac{41}{4.1}\\ x=10[/tex]

Put [tex]x=10[/tex] in [tex]y=5.59x+837.5[/tex] to find total annual consumption of salmon.

Therefore,

Total annual consumption of salmon = [tex]5.59(10)+837.5=893.4[/tex] million pounds


Related Questions

There are 6 triangles and 3 circles. What is the simplest ratio of circles to
triangles?

Answers

Answer:

1 : 2

Step-by-step explanation:

The original ratio would be 3 : 6, so now you need to simplify it.

To simplify ratios, you divide the number on each side by their greatest common factor. The GCF(greatest common factor) for 3 and 6 would be 3, so divide 3 by 3 =1 and divide 6 by 3 =2, so then your simplified ratio of circles to triangles would be 1 : 2

Hope this helps! :)

The demand equation for the Drake GPS Navigator is x + 4p − 848 = 0, where x is the quantity demanded per week and p is the wholesale unit price in dollars. The supply equation x − 20p + 1000 = 0, where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each. Find the equilibrium quantity and the equilibrium price for the GPS Navigators.

Answers

Given:

Demand equation : [tex]x+4p-848=0[/tex].

Supply equation : [tex]x-20p+1000=0[/tex]

To find:

The equilibrium quantity and the equilibrium price for the GPS Navigators.

Solution:

Demand equation is

[tex]x+4p-848=0[/tex]

where x is the quantity demanded per week and p is the wholesale unit price in dollars.

Quantity demanded [tex]=x=848-4p[/tex]    ...(i)

Supply equation is

[tex]x-20p+1000=0[/tex]

where x is the quantity the supplier will make available in the market each week when the wholesale price is p dollars each.

Quantity supplied [tex]=x=-1000+20p[/tex]         ...(ii)

For equilibrium, Quantity demanded = Quantity supplied.

[tex]848-4p=-1000+20p[/tex]

[tex]848+1000=4p+20p[/tex]

[tex]1848=24p[/tex]

Divide both sides by p.

[tex]\dfrac{1848}{24}=p[/tex]

[tex]77=p[/tex]

Substitute p=77 in (i), to find the equilibrium quantity.

[tex]x=848-4(77)[/tex]

[tex]x=848-308[/tex]

[tex]x=540[/tex]

Therefore, the equilibrium quantity is 540 units per week and the equilibrium price is $77 for the GPS Navigators.

I need help please help me

Answers

Answer: t=1

Step-by-step explanation: brainlest please

The answer for your question is T=1

There are 2×10^5 households in Kingston County, and the average household size is 2.5 people. How many people live in the county?
Write your answer in standard form. Do not use exponents.

Answers

Answer:

500000

Step-by-step explanation:

2×10^5=2×100000=200000×2.5=500000

please help Which expressions are equivalent to the given complex number?

Answers

(9 + 4i ) + ( 36 - 2i) is the equivalent complex number

Answer:

the two answers are (9+4i)+2(4+7i)(1-2i) and (9+4i)+(36-2i)

Step-by-step explanation:

I just took the quiz and got it right

0.2� in factions hurry i need HELPPPPPPPP

Answers

Your answer will be 2/10 in fraction

write this in simple form 3^6 x 3

Answers

Answer:

the answer would be 2187

Step-by-step explanation:

3 to the 6th would be 729 and times it by 3 you get 2187

162 is the correct answer

Kimberly is ordering bath towels and washcloths for the inn where she works. The total cost of the order is T=6b+2w, where T is the total cost, b is the number of bath towels, and w is the number of washcloths.

Answers

Answer: She can order a maximum of 42 washcloths or 14 bath towels.

b. Solve for b.

T - 2w

b = 6

7 bath towels


Abdul sold t-shirts and hats at a festival. He made a $6 profit for each t-shirt he told. He also made a profit of $54 from selling hats. If he made a total profit of $168, how many t-shirts did he sell?

Answers

Answer:

he sold 24 t-shirts i think...

Step-by-step explanation:

take 168 because its the total and subtract the amount he made from the hats which was 54 and you get 144 which is how much he made from selling shirts and if you divide that by 6 dollars (how much the shirts cost) you get 24

please help i'm timed!!!!

Answers

Answer:

The second one

Step-by-step explanation:

Mike ran 1/2 of a mile in 10 minutes if he continues at this rate how far did Mike run in one hour

Answers

Answer:

3 miles

Step-by-step explanation:

bc he ran .5 a mile in 10 minutes. an hour is sixty minutes, so 10x six. then you do .5 x six to get 3.

I need to figure out what c equals in the problem -3 - 3/4(c-4) =5/4
please help​

Answers

Answer:

-54

Step-by-step explanation:

-3 -3/4(c-4)=5/4

[tex]\\[/tex]

Answer:

Exact Form:

c  = −5/3

Decimal Form:

c  = −1.¯6

Mixed Number Form:

c  = −1 2/3

Step-by-step explanation:

m2-3m+ 24 = 7m
solve by factoring

Answers

Answer:

Step-by-step explanation:

If there are 36 boys and 18 girls in a room, fill out all of the possible ratios of boys to girls that could be made.

Answers

Answer :36: 18

Step-by-step explanation:

AA and BB are n×nn×n matrices. Check the true statements below: A. If two row interchanges are made in sucession, then the determinant of the new matrix is equal to the determinant of the original matrix. B. The determinant of AA is the product of the diagonal entries in AA. C. detAT=(−1)detAdetAT=(−1)detA. D. If detAdetA is zero, then two rows or two columns are the same, or a row or a column is zero.

Answers

Answer:

If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix. ( A )

Step-by-step explanation:

A and B been n*n matrices the true statement would be ;  If two row interchanges are made in succession, then the determinant of the new matrix is equal to the determinant of the original matrix.

Although other options can be true for some matrices but they are not always true for every kind matrices but option A is always true

who is the father of Jesus

Answers

Answer:

The father of jesus is God

The mother of jesus is Marry

Answer:

the father of Jesus is Joseph

Step-by-step explanation:

plz give me brainly

If m=65h then what would the constant of proportionality be?

Answers

Answer:

I have 72 baes but they don't love me

Answer:

it is helping to ensure

If x = 4 and y = 7 , evaluate the following expression: 20 + 2 ( 3 y − 4 x )

Answers

Plug in the numbers to the following letters. For example, the equation would be 20+2(3(7)-4(4)) which gives you a final answer of 30

If x = 4 and y = 7 of the following expression: 20 + 2 ( 3 y − 4 x ) then it will gives 30.

What are equivalent expressions?

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple.

Given,

If x = 4 and y = 7 ,

the following expression: 20 + 2 ( 3 y − 4 x )

Substitue;

20 + 2 ( 3 y − 4 x )

20 + 2 ( 3(7) − 4 (4) )

20 + 2 (5)

20 + 10

30

Learn more about an expression here:

https://brainly.com/question/1249625

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4(1-4x) = -7x + 4
What does x equal

Answers

Answer:

x=0

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation:

Check
Graph
Click or touch the graph to plot the ordered pairs.
Use the interactive graphing tool to plot the ordered
pairs.
fy
X
y
d
(-2.0), (-1, -3), (0.-4). (1.-3). (2.0)
Using your graph, how many points lie on the x-axis?
0 0
0 1
02
O 3
Reset

Answers

Answer:

2.

Step-by-step explanation:

If a point lies on the x-axis, it's y value will be 0.

(-2,0) and (2,0)'s y value is 0.

what is a simplified version of -7(2x-3)

Answers

Answer:

-14x+21

Step-by-step explanation:

Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now?
Do it as a addition problem

Answers

Answer:

267 - 112 - 65 - 33 = $57

Step-by-step explanation:

subtract to get the answer

you buy 6 apples for 2.70. write an equation that can be used to express the relationship between the total price t and the number of apples a you buy.

Answers

Answer:

t×2.70=6

Step-by-step explanation:

this is only applicable if the price of one apple each is t.

Given m||n, find the value of x.

Answers

Answer:

X= 124

Step-by-step explanation:

Because these angles are alternate interior angles we know that X+56 will equal 180, so to solve:

180 - 56= 124

Answer:

124 degrees

Step-by-step explanation:

180 degrees is a straight line

the given angle is 56 degrees

so, all you do is subtract

180 - 56 = 124

to double check,

56 + 124 = 180

I NEED HELP ASAP PLZ HELP MEEEEEE PLZ PLZ

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

c- 4

Step-by-step explanation:

All the others have long irrational numbers a 4 doesnt

How do I right this as an inequality? Quotient of a number r and 7 is no more than 18.

Answers

Answer:

Step-by-step explanation:

r x 7 => 18

what is the distance between the two points (-2,1) (4,3)

Answers

Answer:

[tex]2 \sqrt{10} \: units[/tex]

Step-by-step explanation:

I hoped this helpful for you. Mark this answer as BRAINLIEST answer.

Thank you ☺️☺️☺️

The distance between the points be "2√10 units".

Equation of line

According to the question,

Points are:

(x₁, y₁) = (-2, 1)

(x₂, y₂) = (4, 3)

We know the formula,

Distance between two points,

D = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

By substituting the values, we get

      = [tex]\sqrt{(4-(-2))^2+(3-1)^2}[/tex]

      = [tex]\sqrt{(4+2)^2+(2)^2}[/tex]

By solving the squares, we get

      = [tex]\sqrt{36+4}[/tex]

      = √40

      = 2√10 units

Thus the above answer is appropriate.

Find out more information about distance here:

https://brainly.com/question/20115150

Use this method to estimate the students who attend your school (or a certain building on your campus) on a given morning. Count the number of students entering the building in 1 minute and multiply this number by the minutes it takes the entire group to enter.

Answers

Answer and explanation:

The data we get from counting how many people entering a building in one minute is the sample of the population size. We do this since it would be tedious or not feasible to stand and count one by one how many people enter the building and so we do a good estimate with our one minute sample

Let's assume in one minute, 15 people enter the building and it takes one hour for everyone to enter the building

Population size would be 15*60 minutes= 900 people

When creating a similar figure, the original angle measures will be enlarged by a scale factor to create the new shape
A) Always
B) Sometimes
C) never
HELP ASAP

Answers

Answer:

always

Step-by-step explanation:

i got it right

The total cost of the trip can be found by adding these components: Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus fees: $25 + 8($2 + $3) Total cost: 5(29) + 4(35) + 25 + 8(5) Which of these are equivalent expressions of the total cost that use the properties of operations to simplify the math? 5(15 + 14) + 4(31 + 4) + 25 + 40 5(20 + 9) + 4(30 +5) + 25 + 40 5(17 + 12) + 4(33 + 2) + 25 + 40 5(19 + 10) + 4(34 + 1) + 25 + 40

Answers

Given:

Entrance fee per student: $5(29)

Lunch costs: $4(29 + 6)

Bus fees: $25 + 8($2 + $3)

Total cost: 5(29) + 4(35) + 25 + 8(5)

To find:

The equivalent expressions of the total cost that use the properties of operations to simplify the math.

Solution:

We have,

Total cost = 5(29) + 4(35) + 25 + 8(5)

To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit.

Total cost = 5(20+9) + 4(30+5) + 25 + 40

Therefore, the correct option is B.

Answer:

Entrance fee per student: $5(29) Lunch costs: $4(29 + 6) Bus fees: $25 + 8($2 + $3) Total cost: 5(29) + 4(35) + 25 + 8(5) To find: The equivalent expressions of the total cost that use the properties of operations to simplify the math. Solution: We have, Total cost = 5(29) + 4(35) + 25 + 8(5) To simply this expression, we need to write 29 and 35 in the expand form or as the sum of their place values because it is easy to multiply a number with multiply of 10 and single digit. Total cost = 5(20+9) + 4(30+5) + 25 + 40 Therefore, the correct option is B.

Step-by-step explanation:

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