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
svetlana [45]
2 years ago
11

The Nut House sells peanuts for $6.75 per pound and cashews for $9.50 per pound. On Saturday, they sold 32 pounds more peanuts t

han cashews. The total sales for both types of nuts was $1,012.25. Write and solve an equation to find the number of peanuts sold. Round your answer to the nearest whole pound.
Mathematics
1 answer:
Ber [7]2 years ago
3 0

Answer:

81 pounds

Step-by-step explanation:

Given that:

Peanut per pound = $6.75

Cashew per pound = $9.50

Let

Number of cashews sold = x

Number of peanuts sold = x + 32

Total sales made = $1,012.25

(Number of caahew sold * cost of cahew) + (Number of peanut sold * cost of peanut) = total sales made

(x * 9.50) + [(x + 32) * 6.75)] = 1012.25

9.50x + 6.75x + 216 = 1012.25

16.25x = 796.25

x = 796.25 / 16.25

x = 49

Number of peanuts sold = x + 32 = 49 + 32 = 81

You might be interested in
A triangle has a perimeter of 10a + 3b + 12 and has sides of length 3a + 8 and 5a + b what is the length of the third side ?
RideAnS [48]

Answer:

  2a +2b +4

Step-by-step explanation:

The perimeter is the sum of the lengths of the three sides. If x represents the length of the third side, then ...

  (3a +8) +(5a +b) +x = (10a +3b +12)

Subtracting from the equation everything on the left side that is not x, we get ...

  x = (10a +3b +12) -(3a +8) -(5a +b)

  = a(10 -3 -5) +b(3 -1) +(12 -8)

  = 2a +2b +4

The length of the third side is 2a +2b +4.

5 0
2 years ago
The top three prices for works of art sold at auction in 2013 totaled $306.7 million. These three works of art were a sculpture,
lora16 [44]

Answer:

photograph = 55.7mil

painting = 106.2

sculpture = 144.8

Step-by-step explanation:

let the price of the photograph be x

price of painting = x+50.5

price of sculpture = x+x+50.5-17.1 =2x+33.4

2x+33.4+x+50.5+x=306.7

4x=222.8

x=55.7

price of painting = 55.7+50.5 = 106.2

price of sculpture = 2(55.7)+33.4=144.8

5 0
2 years ago
Read 2 more answers
I know a little bit but I still need help this morning in graphing
nikklg [1K]

Answer:

Just mark the upward part of X axis.

6 0
2 years ago
Which ordered pair (x, y) is a solution to the following system of equations?
Rudik [331]

Answer: (-6, 4)

Step-by-step explanation:

You can use the Elimination method:

- Multiply the the first equation by -3 and the second one by 5.

- Add both equations.

- Solve for y:

\left \{ {{(-3)(5x+4y=-14(-3)} \atop {5(3x+6y)=6(5)}} \right.\\\\\left \{ {{-15x-12y=42} \atop {15x+30y=30}} \right.\\-------\\18y=72\\y=4

- Susbtittute y=4 into any of the original equations and solve for x:

3x+6(4)=6\\3x=6-24\\3x=-18\\x=-6

Then the ordered pair is:

(-6, 4)

7 0
3 years ago
Read 2 more answers
Segment A'B' is parallel to segment AB. What is the length of segment AB? What is the length of segment B'B? Your answer should
geniusboy [140]

B’B is 3.5

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Which set of coordinates satisfies the equations 3x - 2y =15 and 4x - y = 20
    15·1 answer
  • Beau and Bellas Grandmother gave them a big box of pencils for school. If they split the pencils equally, what equation shows ho
    8·1 answer
  • Cylinder A has a volume of 360 cm3. Cylinder B has a base and height identical to that of the cylinder B, but it is the right in
    9·2 answers
  • Factor -7x = 21x2 = 3x - 9 by grouping
    10·1 answer
  • [25 POINT]
    5·2 answers
  • How do I do this ? I need help
    10·1 answer
  • 4. If you increase all dimensions of an object by a scale factor of 4, how much would the surface area i
    15·1 answer
  • What is the value of x? Enter your Anwser in the box
    5·2 answers
  • Help pleaseeeeeeeeeeeee
    11·2 answers
  • QUESTION 2
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!