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
nignag [31]
3 years ago
10

Which ordered pair (p,r) is the solution to the given system of linear equations?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

You might be interested in
Q # 6 please solve the equation
nevsk [136]
The answer is 314,000,000 ft^2

pi r^2

3.14* 10,000^2

3.14*100,000,000

314,000,000
6 0
4 years ago
A standard deck has 52 cards consisting of 26 black and 26 red cards. Three cards are dealt from a shuffled deck without replace
Allisa [31]

They aren't independent since the probability uses all the cards in the deck

So at the first deal we have the chance of 26/52 of getting a red card, at the second deal we have the chance of a 25/51 of getting another red card, so they aren't independent

8 0
3 years ago
alison has 1/2 cup of yogurt for making fruit parfaits . each parfait requires 1/8 cup of yogurt. how many parfaits can she make
alisha [4.7K]
4 cups because 8 devided by 2 is 4
5 0
4 years ago
What is m Enter your answer in the box.<br> o<br> m
Papessa [141]
I hope you meant find x

5x + 3x + 2x = 180. x=18
7 0
3 years ago
Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of ap
Eduardwww [97]

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

8 0
3 years ago
Other questions:
  • Use place value to find the product
    9·2 answers
  • Kersha has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. Her office job pays
    10·1 answer
  • Can someone help me with these?? I am really confused
    9·1 answer
  • 4x - 3y = -7<br> -8 + 2y = -6
    14·2 answers
  • Dante uses 15 J of work to lift a weight for 3 seconds. How much power did he use?
    15·1 answer
  • Help i need this one question asap
    10·2 answers
  • Bobby worked 7.25 hours and Jimmy worked 6.75 hours. If Bobby made $8.25 per hour and Jimmy made $7.50 per hour, what was the to
    15·1 answer
  • Calculate the slope of the line that passes through the points<br><br> (1,3) (3,negative2)
    13·2 answers
  • The password to sally cell phone has to be four digits and she can use the numbers 0-9 she is allowed to repeat the same number
    15·1 answer
  • Emma has 100 to spend at the pet store she needs to buy one bag of dog food and 2 chew toys Will Emma have enough money left ove
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!