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
Masja [62]
3 years ago
8

The total price of four oranges and five pears is $32 while the total price of three oranges and two pears is $17. How much is a

pear?
Mathematics
2 answers:
Ket [755]3 years ago
8 0

Answer:

A pear is 3.4

Step-by-step explanation:

sweet-ann [11.9K]3 years ago
7 0

Answer: A pear cost $4.

Step-by-step explanation:

If the total price of four oranges and five pears is $32 then we could represent it by the equation  4x + 5y = 32   where x is cost of one orange and y is the cost of one pear.

The same way we could represent the second statement by the equation

3x + 2y = 17      

We know have the two systems of equations:

4x + 5y = 32

3x + 2y = 17         Solve using the elimination method

  Multiply the top equation by -3 and the down equation by 4 to eliminate x.

-3(4x + 5y) = -3(32) =  -12x - 15y = -96

 4(3x +2y) = 4(17)  =   12x + 8y = 68    

We now have the two new equations:

-12x -15y = -96      Add both equations

12x + 8y = 68            

      - 7y = -28

     y= 4    

Which means the cost of one pear is $4.

You might be interested in
The submarine took 12 min to climb back to the surface. How far did it climb per minute
Sonja [21]

Answer:

There is insufficient information provided to answer the question.

7 0
3 years ago
What is the solution set of the given system?
AVprozaik [17]

What is the system? (Is there supposed to be an image?)

3 0
3 years ago
39=1 3/10b what will be the answer show work
Lubov Fominskaja [6]
1 3/10·b=39
(1·10+3)·b/10=39
13b/10=39
13b=39·10
13b=390|:13
<u>b=30</u>

<em>Answer: 30</em>
4 0
2 years ago
A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.
Vlada [557]

Answer:

a)  y=12000(2)^{\frac{t}{50}}

b)  Approx. 27,569 bacteria

c)  About 103 minutes

Step-by-step explanation:

a)

This will follow exponential modelling with form of equation shown below:

y=Ab^{\frac{t}{n}}

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}

b)

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76

The number of bacteria after 1 hour would approximate be <u>27,569 bacteria</u>

<u></u>

c)

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103

After about 103 minutes, there will be 50,000 bacteria

4 0
3 years ago
Solve the following equation then place the correct number in the box provided. X/3 - 4 = 10
ivann1987 [24]
X = 42

x/3 - 4 = 10
+ 4 +4
x/3 = 14
•3 •3
x = 42
4 0
3 years ago
Other questions:
  • If the sinA = 3/5 and the cosA = 4/5 , then what is tan A?<br><br> a: 3/4<br> b: 1<br> c: 4/3
    7·2 answers
  • How does claiming more allowances on a W-4 form affect the deductions on a paycheck?
    6·2 answers
  • What is the value of the following expression? 7 + 18 divided by 3
    9·1 answer
  • How do I round 3.8129 to 3 decimal places?Please help!!!
    5·2 answers
  • The temperature went from -16 to 7. What was the change in temperature?
    14·1 answer
  • The sum of two numbers is 40. The larger number is 10 more than twice the smaller number. Find the numbers
    6·1 answer
  • What is π + e its easy
    9·2 answers
  • Mr. Martinez wants to get a cell-phone plan.He has two deals:
    12·1 answer
  • A plumber charges $45 per hour, h, to install a new bathtub, plus the price of the bathtub.
    8·1 answer
  • Please help me geometry
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!