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
N76 [4]
3 years ago
12

Bob raises Guinea Pigs and Chinchillas on his beachfront oasis. There are a total of 60,005 animals at the oasis. The number of

Chinchillas is 5 more than 2 times the number of guinea pigs. How many of each animals are there? Let g = the number of guinea pigs and let c = the number of chinchillas. Write a system of equations to represent the situation and use substitution to solve for the amount of each animal.
Mathematics
1 answer:
raketka [301]3 years ago
6 0
Let named variables as you said g- guinea pigs and c- chinchillas
System of equation is:

First is:   c+ g = 60,005 
Second is:   c= 2g+5

When we replace second in first we get:

2g+5+g = 60,005 => 3g+5= 60,005 => 3g= 60,000

g=60.000/3 = 20,000 => g=20,000

When this result we replace in the second equation we get

c= 2 * 20,000 +5= 40,000+5 = 40,005

c= 40,005

Good luck!!!!




You might be interested in
A bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. If the interest received
marin [14]

Answer: $31000 was loaned at 13%.

Step-by-step explanation:

Let x represent the amount loaned out at 13% interest rate.

Let y represent the amount loaned out at 5% interest rate.

The bank loaned out $68,000, part of it at the rate of 13% per year and the rest at a rate of 5%per year. It means that

x + y = 68000

The interest received made from $x in one year is

13/100 × x = 0.13x

The interest received made from $y in one year is

5/100 × x = 0.05y

If the interest received was $5880, it means that

0.13x + 0.05y = 5880- - - - - - - - - 1

Substituting x = 68000 - y into equation 1, it becomes

0.13(68000 - y) + 0.05y = 5880

8840 - 0.13y + 0.05y = 5880

- 0.13y + 0.05y = 5880 - 8840

- 0.08y = - 2960

y = - 2960/- 0.08

y = 37000

x = 68000 - y = 68000 - 37000

x = $31000

5 0
3 years ago
Question.. Roxy got 46 toys for Christmas. I can store them in groups of 10 or as single toys. What are all of the different way
Liono4ka [1.6K]
You will have 4 groups of 10 and then 6 single toys
7 0
3 years ago
Helllllllllllllllllllllllppppppppppp
irinina [24]

Answer:

12.35

Step-by-step explanation:

   95

  *13

____

 285

+950

____

1235

then you need to move the decimal number 2 spaces, because you removed a total of 2 space from the original numbers.

12.35

4 0
3 years ago
Read 2 more answers
If P(x)=x^2-1 and q(x)=5(x-1), which expression is equivalent to (p-q)(x)
soldier1979 [14.2K]
All you need to do p(x)-q(x).  So:

(x^{2}-1)-(5)(x-1)

That's it!


3 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!
Ludmilka [50]

Answer:

<h2>The population will reach 1200 after about 2.8 years</h2>

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The population of a certain species of bird in a region after t years can be modeled by the function P(t) = 1620/ 1+1.15e-0.42t , where t ≥ 0. When will the population reach 1,200?

According to question we are to calculate the time t that the population P(t) will reach 1200.To do this we will substitute P(t) = 1,200 into the equation and calculate for the time 't'.

Given;

P(t) = \frac{1620}{1+1.15e^{-0.42t} } \\\\at \ P(t)= 1200;\\\\1200 =  \frac{1620}{1+1.15e^{-0.42t} }\\\\cross\ multiplying\\\\1+1.15e^{-0.42t} = \frac{1620}{1200} \\\\1+1.15e^{-0.42t}  = 1.35\\\\1.15e^{-0.42t} = 1.35-1\\\\e^{-0.42t} = \frac{0.35}{1.15}\\ \\e^{-0.42t}  = 0.3043\\\\Taking \ ln\ of\ both\ sides\\\\lne^{-0.42t}  = ln0.3043\\\\-0.42t = -1.1897\\\\t = \frac{-1.1897}{-0.42} \\\\t = 2.8 years\\\\

The population will reach 1200 after about 2.8 years

6 0
3 years ago
Other questions:
  • Randy filled out a deposit slip today. He deposited two checks for $123.17 and $34.68 and took out $50 in cash.
    7·2 answers
  • Find the value of the expression.<br> 3 - 0 x 11
    12·2 answers
  • What is the equation of a line that is perpendicular to the x-axis and passes through (3,-2)
    14·2 answers
  • The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
    9·1 answer
  • Can someone help me with this question
    13·1 answer
  • Whats 2x 500 plssssssssss
    10·2 answers
  • Did you look at it you should you know
    8·1 answer
  • The fraction 24/5 lies between which 2 whole numbers?
    15·2 answers
  •  the number of Significant Figures in 13410000 *​
    10·2 answers
  • Determine the slope and y -intercept for each line shown. Then write the equation of the line (will give Brainliest)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!