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
lana66690 [7]
3 years ago
8

A vet weighs 2 puppies. The small puppy weighs 2 1/9 a pound. The bigger puppy weighs 1 2/7 times as much as the small puppy doe

s. How much does the big puppy weigh?
Mathematics
1 answer:
Luden [163]3 years ago
8 0

Answer:

2 5/7

Step-by-step explanation:

In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.

The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.

You might be interested in
The mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​
MrMuchimi

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count}

let the third number be x , then

\frac{18+16+x}{3} = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

3 0
3 years ago
Mr. Kimura designed a right-triangular garden for his yard, as shown in the following diagram
lana66690 [7]

Answer:35g + 14k

Step-by-step explanation:

T = time D = drill

D(5G + 2K) = T

7(5g + 2k) = T

35g + 14k = T

3 0
2 years ago
Please help this for my pre calculus finals
dsp73

Answer:

a) It will take 17.71 years

b) It will take 17.58 years

c) I will earn $6.60 more in compound continuously

Step-by-step explanation:

a) Lets talk about the compound interest

- The formula for compound interest is A = P (1 + r/n)^(nt)

, Where:

- A = the future value of the investment, including interest

- P = the principal investment amount (the initial deposit)

- r = the annual interest rate (decimal)

- n = the number of times that interest is compounded per unit t

- t = the time the money is invested

* Lets solve the problem

∵ The money deposit is $2000

∵ The rate is 6.25%

∵ The interest is compound quarterly

∵ The future value is $6000

∴ P = 2000

∴ A = 6000

∴ r = 6.25/100 = 0.0625

∴ n = 4

∴ t = ?

∵ A = P (1 + r/n)^(nt)

∴ 6000 = 2000 (1 + 0.0625/4)^4t ⇒ divide both sides by 2000

∴ 3 = (1.015625)^4t ⇒ insert ㏑ for both sides

∴ ㏑(3) = ㏑(1.015625)^4t

∵ ㏑(a)^b = b ㏑(a)

∴ ㏑(3) = 4t ㏑(1.015625) ⇒ divide both sides by ㏑(1.015625)

∴ 4t = ㏑(3)/㏑(1.015625) ⇒ divide both sides by 4

∴ t = [㏑(3)/㏑(1.015625)] ÷ 4 = 17.71

* It will take 17.71 years

b) Lets talk about the compound continuous interest  

- Compound continuous interest can be calculated using the formula:

  A = P e^rt  

- A = the future value of the investment, including interest

- P = the principal investment amount (the initial amount)

- r = the interest rate  

- t = the time the money is invested

* Lets solve the problem

∵ The money deposit is $2000

∵ The rate is 6.25%

∵ The interest is compound continuously

∵ The future value is $6000

∴ P = 2000

∴ A = 6000

∴ r = 6.25/100 = 0.0625

∴ t = ?

∵ A = P e^rt  

∴ 6000 = 2000 e^(0.0625 t) ⇒ divide both sides by 2000

∴ 3 = e^(0.0625 t) ⇒ insert ㏑ to both sides

∴ ㏑(3) = ㏑[e^0.0625 t]

∵ ㏑(e^a) = a ㏑(e) ⇒ ㏑(e) = 1 , then ㏑(e^a) = a

∴ ㏑(3) = 0.0625 t ⇒ divide both sides by 0.0625

∴ t = ㏑(3)/0.0625 = 17.5778

* It will take 17.58 years

c) If t = 5 years

# The compound quarterly:

∵ A = P (1 + r/n)^(nt)

∴ A = 2000 (1 + 0.0625/4)^(4×5)

∴ A = 2000 (1.015625)^20 = $2727.08

# Compound continuously

∵ A = P e^(rt)

∴ A = 2000 e^(0.0625×5) = $2733.68

∴ I will earn = 2733.68 - 2727.08 = $6.60

* I will earn $6.60 more in compound continuously

5 0
3 years ago
Which measurement is most likely to be used to determine the diameter of the well cap?
ycow [4]

Answer:

B. the second one

Step-by-step explanation:

7 0
3 years ago
Help please! find m∠bcf
77julia77 [94]

Answer:

BCF = 140°

See attached image.

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer to number 18?
    9·2 answers
  • What is the answer please show work 7x + 4 = 5x + 10
    11·2 answers
  • I need help with how to find 2 equations for thy problem
    5·1 answer
  • How do you solve this?<br> |6x|+3=21
    15·2 answers
  • Working together, it takes two different sized hoses 30 minutes to fill a small swimming pool. If it takes 50 minutes for the la
    11·2 answers
  • What is the relationship between the 6s in the number 7,664
    9·1 answer
  • Create a polynomial that is added to 5x2 + 6x + 9 to get 7x2 + 9x + 14.
    12·1 answer
  • If ABC is reflected
    8·1 answer
  • I need the answer to this picture below
    5·1 answer
  • PLS SOLVEEEEEEEE!!! This is urgent :(
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!