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
soldi70 [24.7K]
3 years ago
5

Rosa bought 1 pound of cashews and 2 pounds of peanuts for $10. At the same store, Sabrina bought 2 pounds of cashews and 1 poun

d of peanuts for $11. Find the cost per pound of cashews and peanuts.
Mathematics
1 answer:
Valentin [98]3 years ago
5 0

Answer:

The solutions are x=4, y=3. Cashews are $4 per pound and Peanuts are $3 per pound.

Step-by-step explanation:

let x = cashews

let y = peanuts

x + 2y = 10 - rosa's purchase

2x + y = 11 - sabrina's purchase

subtract 2x to isolate 'y'

y = 11 - 2x

x + 2(11 - 2x) = 10

x + 22 - 4x = 10 (Use the distributive property.)

-3x = -12

x = 4.00

Plug this into the original equations to find "y"

2(4) + y = 11

8 + y = 11

y = 3

4 + 2y = 10

2y = 6

y = 3

the solutions are: x = 4. y = 3.

You might be interested in
How does the graph of g(x)=4^x+5 compare to the function represented by the table below?
lara [203]

Answer:

The function given in the question isg(x) = 4x - 5When x = 2, theng(2) = (4 * 2) - 5 = 8 -5 ...

Step-by-step explanation:.

5 0
2 years ago
Solve 4x-y=-5 -2x+3y=10​
allsm [11]

Answer:

(x,y) =(7/2,4)

3 0
3 years ago
Read 2 more answers
Jacks living room is 16 feet by 20 feet long. if a scale drawing of his living room uses a scale of 3/4 inches= 6 feet, find the
Juli2301 [7.4K]

Answer:

40 inches

Step-by-step explanation:

16×20=320

320÷6=53.33

53.33×3=159.99

159.99÷4=39.9975

39.9975 rounded would be 40

6 0
2 years ago
Sabriana hiked along a trail that was 9.66 miles long she hated 4.2 miles every hour how many hours did it take Sabriana to fini
Fynjy0 [20]

Answer:

3 hours

Step-by-step explanation:

8 0
2 years ago
A northbound bus and a southbound bus are at a bus stop at the same time. The northbound bus returns to the bus stop every 20 mi
gulaghasi [49]

The question is essentially asking for the least common multiple of 20 and 25. There are several ways you can find the LCM. One easy way is to divide the product by the GCD (greatest common divisor).

GCD(20, 25) = 5 . . . . . see below for a way to find this, if you don't already know

LCM(20, 25) = 20×25/GCD(20, 25)

... = 500/5 = 100

The buses will be there together again after ...

... B. 100 minutes

_____

You can also look at the factors of the numbers:

... 20 = 2²×5

... 25 = 5²

The least common multiple must have factors that include all of these*, so must be ...

... 2²×5² = 100

___

* you can describe the LCM as the product of the unique factors to their highest powers. 20 has 2 raised to the 2nd power. 25 has 5 raised to the 2nd power, which is a higher power of 5 than is present in the factorization of 20. Hence the LCM must have 2² and 5² as factors.

_____

You can also look at the factorization of 20 and 25 to see that 5 is the only factor they have in common. That is the GCD, sometimes called the GCF (greatest common factor).

4 0
3 years ago
Read 2 more answers
Other questions:
  • Solve x ym = y x3 for m.
    15·1 answer
  • What is the answer to -4x - 40y - 80 = 0?
    10·1 answer
  • chip earns a base salary of $500 per month as a salesman.In addition to the salary,he earns $90 per product that he sells .if hi
    8·1 answer
  • Y+7=10 what is the answer to that
    12·2 answers
  • PLEASE HELP!! Anyone??
    14·1 answer
  • PLZ HELP I NEED IT ASAP I WILL GIVE BRAINLIST AND POINTS
    14·1 answer
  • Factor the difference of cubes. Select prime if the polynomial cannot be factored
    14·1 answer
  • The ratio of the number of Miki's stickers to the number of Ken's
    12·1 answer
  • True or False? When finding the average rate of change if an exponential function, the interval [3, 5] means we want to use the
    6·1 answer
  • Find the Area of the shape<br> (Area of Composite Shapes)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!