1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
just olya [345]
3 years ago
15

John caught 4 fish that weighed a total of 252 lbs. the kingfish weighed twice as much as as the amberjack and the white Marlin

weighed twice as much as the kingfish. The weight of the tarpon was 5 times the weight of the Amberjack. How much did each fish weigh.
Mathematics
1 answer:
ale4655 [162]3 years ago
8 0
Assuming : k=weight of kingfish, a=weight of amberjack, m=weight of white marlin, t=weight of tarpon
The sum of all four fish is 252, so k+a+m+t=252
the kingfish weighs twice as much as the amberjack, so 2a=k.
the marlin weighs twice as much as the kingfish, so 2k=m.
the tarpon weighs 5 times as much as the amberjack, so 5a=t.
Replace the terms k, m, and t: 2a+a+2k+5a=252. k=2a so 2a+a+2(2a)+5a=252. Combine like terms: 8a+4a=252, 12a=252. Divide both sides by 12: a=21. The amberjack weighs 21 pounds. From this, figure out the rest: k=2a=2(21)=42, m=2k=4a=4(21)=42, t=5(21)=105.
Concluding answer - The weights are: amberjack, 21 lbs; kingfish, 42 lbs; white marlin, 84 lbs; tarpon, 105 lbs.
You might be interested in
50% of 180 dancers said they prefer hip hop class over tap class. How many dancers prefer hip hop class?
Simora [160]

Answer:

90

Step-by-step explanation:

50% of 180 = 90%

90% is the answer.

3 0
2 years ago
The period T of a pendulum in seconds depends on its length L in feet, and is given by the formula T=
Damm [24]
This is a matter of plugging in. Specifically 7 for L.

T = 2πsqrt(7/32)
T = (6.28319...)(0.46771...)
T is about 2.93871 seconds
4 0
3 years ago
Consider the two triangles.
GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

4 0
3 years ago
How can I solve each system of liner equations by substitution?
natka813 [3]
I hope you can read cursive and I hope this helps! (:

8 0
3 years ago
128 POINTS IF YOU HELP
Aleksandr-060686 [28]
(A) We let y = the cost and are told x = the number of people. Since you pay $20 per person, the cost is 20x. That is, y=20x

(B) Again, let the cost =y and the number of people is given as x. You pay $10 per person or 10x plus an additional $50 for the room. That is, y=10x+50

(c) Link to graphs: https://www.desmos.com/calculator but if that doesn't work see the attachment for a screen shot. You just have to put the equations (type them) at left and the graph comes automatically.

(D) The admission price is the same when the two equations are equal. You can find this by setting them equal to each other as such: 20x = 10x+50 and solving for x. However, since you just graphed them the point of intersection (where the lines share/have the same point) gives the information. Remembers that (x,y) = (people, cost). The graphs intersect at (5, 100) so for 5 people the cost is the same and the cost is $100.

(E) For the regular rate we let x = 6 and solve for y (the cost). We get y = 20x which is y = (20)(6)=120. It costs $120 using the regular rate to take 6 people. Now let's use the equation for the group rate again with x = 6. Here we get y = 10x +50 or y = 10(6)+50 = $110. The group rate costs $110.

(F) The cost is the same at 5 people but if there are more than five the group rate is better as we saw in part E. So the regular rate is better for less than 5 people.

(G) Here y = $150. Let us use the group rate formula and solve for x (the number of people). 10x+50 = 150 so 10x = 100 and x = 10. Since 10 is more than 5 this is the better deal. However if you don't believe it or want to double check we can solve for x using y = 150 and the regular rate equation. We get: 20x = 150 so x = 7.5 Since we can't bring half a person we would only be able to bring 7 and that is less than 10 so this is not the best choice. Use the group rate and bring 10 people!

8 0
3 years ago
Read 2 more answers
Other questions:
  • To fit between two windows the width of a bookshelf must be no greater than 6 1/2 feet Mrs Aguilar purchases a bookshelf that is
    12·1 answer
  • Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determi
    6·2 answers
  • An energy drink company claims that its product
    6·2 answers
  • Find the surface area of the come in terms of pi.
    7·2 answers
  • The function f(x) is shown in this graph<br> the function g(x) = -6x -5
    15·1 answer
  • Expressions equivalent to 2(x+3)
    14·1 answer
  • Why 2+2=4 and not 2+2=22 ?
    8·1 answer
  • What's 1 + 1 (One plus one)?​
    12·2 answers
  • Given the functions below, find f(x) - g(x) f(x) = 3x^2 + 2x + 1 g(x) = x^2 - 6x + 3
    14·1 answer
  • A:90 clockwise<br> B:90 counterclockwise <br> C:180<br> D:270 clockwise <br> E:270 counterclowise
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!