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
pav-90 [236]
3 years ago
7

A pet shop manager wants the same number of birds in each cage. He wants to use as few as cages as possible , but can only have

one type of bird in each cage. If he has 42 parakeets and 18 canaries , how many birds will he put in each cage?
Mathematics
2 answers:
Serga [27]3 years ago
7 0

Answer: There are 7 parakeets and 3 canaries in each cage.

Step-by-step explanation:

Since we have given that

Number of parakeets = 42

Number of canaries = 18

According to question, he wants to use as few as cages as possible , but can only have one type of bird in each cage.

So, H.C.F. of 42 and 18 = 6

So, Number of cages would be 6.

Number of parakeets would be

\dfrac{42}{6}=7

Number of canaries would be

\dfrac{18}{6}=3

Hence, there are 7 parakeets and 3 canaries in each cage.

lana [24]3 years ago
3 0
He would use 3 cages for the canaries (6 in each) and 6 cages for the parakeets (7 in each)
You might be interested in
Write 7 16/25 as a decimal.​
Burka [1]
Hi! your answer should be 7.64 if I am not mistaken
6 0
3 years ago
Students from Williams Middle School are also recycling aluminum cans. The data for the numbers of cans brought in
Rina8888 [55]
Median is 19
IQR is 12
Range is 22

See photo below for explanation
4 0
3 years ago
Ss below. <br> help would be appreciated.
sergeinik [125]

Answer:

(3,0,0)

Step-by-step explanation:

3x + 5y + z = 9     --------------(I)

-4y - z = 0   -------------------(II)

     z = -4y

2x + 3y  - 4z  = 6    (III)

Substitute  z = -4y      in equation (I) and (III)

3x  +5y - 4y = 9

3x + y = 9      -----------------------(a)

2x + 3y - 4*(-4y) = 6

2x + 3y + 16y = 6

2x + 19y = 6 -------------------(b)

Multiply equation (a) by (-19) and then add. So, y will be eliminated and we can get the value of x

(a)*(-19)            -57x - 19y  = -171

(b)                    <u>   2x  + 19y =   6 </u>

                        -55x           = -165

x = -165/-55

x = 3

Plugin x = 3 in equation (a)

3*3 + y = 9

 9  + y = 9

         y = 9 - 9

y = 0

Plug in y = 0 in equation (II)

-4*0 - z = 0

          z = 0

5 0
3 years ago
Read 2 more answers
Whats the value of 2{3(4^2 + 1)] -2^3<br><br><br><br><br> sorry im asking another question lol
7nadin3 [17]

Answer:

94

Step-by-step explanation:

1) make 4² to 16

2 * 3 * (16+1)-2³

2) 16 + 1 =17

2*3*17-2³

3) 2³ = 8

2*3*17-8'

4) 2*3=6

6*17-8

5) 6*17=102

102-8

6)simplify

94

3 0
3 years ago
Read 2 more answers
3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks
german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

\frac{dx}{dt}=400 ft/min

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

\frac{h'}{6}=\frac{7}{4}

h'=10.5 feet

x+y=3+4=7 feet

\frac{h'}{6}=\frac{x+y}{y}

\frac{10.5}{6}=\frac{x+y}{y}

10.5y=6x+6y

10.5y-6y=6x

4.5y=6x

Differentiate w.r.t t

4.5\frac{dy}{dt}=6\frac{dx}{dt}

\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min

\frac{dy}{dt}=533.33ft/min

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0
3 years ago
Other questions:
  • A prism with a base area of 3 m² and a height of 4 m is dilated by a factor of 3/2 . What is the volume of the dilated prism?
    14·2 answers
  • Suppose you draw a card from a well shuffled deck of playing cards what is probability of drawing a ace
    15·1 answer
  • Digit in the ten thousand place for 913,256
    11·2 answers
  • Two consecutive positive numbers are such that the sum of their squares is 113. find the two numbers
    10·1 answer
  • Please Please Please Help Me On These 2 Math Questions!!!!! I GIVE THANKS!!!!
    15·1 answer
  • Help!!!!!!!!! Help help help help
    11·1 answer
  • Romb ma obwód równy 32 cm. Jakie jest pole tego rombu, jeżeli jego wysokość ma 3 cm?
    6·1 answer
  • What property or properties are not used when solving the following equation -3(4x-8)=-36
    7·2 answers
  • Pls help no links pls
    12·2 answers
  • Say we have objects, and these objects can be put on a page. Each page can only hold up to 30 objects.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!