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
mixer [17]
3 years ago
7

1. Captain Salamander has 3 pet frogs called Dorris, Borris and Morris. He weighs them to check they are the right weight. Howev

er, the frogs will only be weighed two at a time! Dorris and Borris weigh 12lbs altogether. Borris and Morris weigh 16lbs altogether. Dorris and Morris weigh 14lbs altogether. How much does each frog weigh?
Mathematics
1 answer:
Paul [167]3 years ago
5 0

Answer:

Their weights are:

Dorris = 5 lbs

Borris = 7 lbs

Morris = 9 lbs

Step-by-step explanation:

Let the weights of the frogs be:

Dorris = d

Borris = b

Morris = m

given:

d + b = 12 - - - (1)

b + m = 16 - - - (2)

d + m = 14 - - - (3)

from (3)

d + m = 14

m = 14 - d - - - (4)

putting the value of m into equation 2:

b + m = 16

b + (14 - d) = 16

b - d + 14 = 16

b - d = 16 - 14

b - d = 2

b = 2 + d - - - - (5)

putting the value of 'b' in equation 5 into equation (1)

d + b = 12 - - - (1)

where: b = 2 + d - - -  (5)

∴ d + (2 + d ) = 12

d + d + 2 = 12

2d = 12 - 2

2d = 10

∴ d = 10 ÷ 2 = 5

d = 5

putting the value of 'd' into eqn (5)

b = 2 + d - - - - (5)

where d = 5

b = 2 + 5 = 7

b = 7 lbs

to find 'm', let us use eqn (3)

d + m = 14 - - - (3)

where d = 5

∴ 5 + m = 14

m = 14 - 5 = 9

m = 9 lbs

Therefore their weights are:

Dorris = 5 lbs

Borris = 7 lbs

Morris = 9 lbs

You might be interested in
Which expression shows the result of applying the distributive property to 3(1/5 x - 1/7)
steposvetlana [31]

Answer:

o.6x- 0.42857142857

Step-by-step explanation:

7 0
3 years ago
(√x-4/x-2√x+3/√x-2) <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28%E2%88%9Ax-4%29%20%7D%7Bx-2%E2%88%9Ax%7D%20%2B%20%5Cfrac%7B3%
charle [14.2K]

Answer: Down there there is an image with the correct answer and step by step

I hope that it helps you!

5 0
2 years ago
Five years ago, Chris opened a savings account that earned 1.4% simple interest every year. He opened his account with $850.00 a
Blababa [14]
If it is compounded annually, this will be 850(1.014)^5 which equals $911.19
3 0
3 years ago
25 points need ASAP
mars1129 [50]

Answer:

68%

Step-by-step explanation:

17 divided by 25 =0.68

make the decimal into a precent

3 0
3 years ago
Read 2 more answers
A taxi service charges a 10$ initial fee and an additional $1.25 per minute.
Len [333]
Y= 10 + 1.25x
This is the answer because 10 is the initial fee (you start with it) and 1.25 is added for each minute, with each minute being the variable
7 0
3 years ago
Other questions:
  • Write a story that matches the expression 42x - 5
    11·1 answer
  • What is the area of the figure in square millimeters and in square centimeters?
    13·1 answer
  • Juan wants to paint somthing in the shape of a right rectangle prism. The prism is 17 in long 11 in wide and 9 in high. He had e
    6·1 answer
  • A line of best fit predicts that when x equals 30, y will equal 34.215, but y actually equals 32. What is the residual in this c
    12·1 answer
  • Plz help and plz don't delete i need help
    12·1 answer
  • Write the equation for the inverse of the function. y= cos(x - pi/2)
    14·1 answer
  • Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24
    8·2 answers
  • What is the x-intercept of the line?<br> (-38,40)<br> (-23,30)<br> (-8,20)
    14·1 answer
  • А square tile has a width of foot. How many tiles will fit end-to-end along a<br> 4-foot wall?
    10·2 answers
  • Help me please express the simplest radical form
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!