A store sells almonds for $8 per pound and peanuts for $14 per pound. A customer paid $31.50 for a 3-pound mixture of
aimonds and peanuts. The system of equations can be used to represent this situation.
x + y = 3
8x + 14y
31.5
Part A
What does the variable x represent in this system of equations?

Answers

Answer 1

Answer:

The number of pounds of almonds the customer purchased

Step-by-step explanation:

Answer 2

The system of equations can be used to represent this situation is as follows:

x + y = 3

8x + 14y = 31.50

The variable x represents the amount in pound of peanuts.  

The almond cost $8 per pound and peanuts cost $14 per pound.

Therefore,

let

x = amount in pounds of almond

y = amount in pounds of peanuts

The customer bought a total of 3 pound. Therefore,

Total weight in pounds:x + y = 3

The customer paid a total of $31.50 for the 3 pounds mixture. Therefore,

Total cost :8x + 14y = 31.50

Therefore, the variable x represents the amount in pound of peanuts.  

learn more on system of equation here: https://brainly.com/question/1625905?referrer=searchResults


Related Questions

please help due asap
Thanks in advance

Answers

Answer:

3.67

Step-by-step explanation:

They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another

Which inequality is true?
b TCR
d 5 > 1
C

Answers

Answer:

A-R<S

Step-by-step explanation:

PLS HELP ASAP WILL GIVE YOU BRAINLEST

Tell whether each point is on the graph of f(x) = [x]. If it is, give the coordinates of another point with the same y value.
1.(-2.3, -2.3)
2. (11, 11)
3.(15, -15)
4.(0, 1)
5.(1,0)
6.(-8,8)​

Answers

Answer:

Step-by-step explanation:

simplify (2^5 over 3^2)^4

Answers

Answer:

3/5^4

Step-by-step explanation:

(2^5 / 3^2)^4

(32 / 9)^4

= 159.8195

-9 + 4 =
How many negative chips ?
How many positive chips?
How many zero pairs?
Final answer:

Answers

Answer:

-9

4

1

-9 + 4 = -5

Step-by-step explanation: You just do the problem regularly and add a negative sign.

What is a formula for the nth term of the given sequence? 160,200,250

Answers

Answer:

can i see the picture?

picture?
l need to see that picture first

A ship must have 1 lifeboat for every 12 passengers, plus one lifeboat for
the crew and one backup lifeboat. Which equation shows the
relationship between the number of passengers, p, and the number of
lifeboats needed, I?

Select one

1) I= 2 + 1/2
2) I= 2p + 10
3) I= 12p
4)I=2+ p/12

Answers

Answer: Choice (4)  L = 2 + p/12

===========================================

Explanation:

p = number of passengers

L = number of lifeboats

Since we're grouping the passengers in groups of 12, this strongly implies we'll be dividing two values. Specifically we have p divided by 12 to represent the number of boats we will need just for the passengers.

For example, let's say p = 36. This means we have 36 passengers. That would mean we need p/12 = 36/12 = 3 boats for those 36 passengers. This excludes the crew and backup boat. Adding those two extra boats leads to the expression 2 + p/12 which is the total number of lifeboats needed.

In the event that p is not a multiple of 12, this leads to p/12 not being a whole number. We could have say p = 50 passengers which means p/12 = 50/12 = 4.167 approximately. We will not round this to 4 because then we'll have passengers without a lifeboat.

We must round 4.167 up to the nearest whole number to get 5. The first four boats take care of 4*12 = 48 passengers, while that 5th boat handles the remaining 50-48 = 2 people. Since 2 people in a boat seems like a really low count, the crew could likely spread the people out such that say 10 people would be in each boat (since 50/10 = 5).

So in short, the result of p/12 is rounded up to the nearest whole number.

Cameron purchased an electric guitar for $1,875. The value of the guitar depreciates by 20% each year. In how many years will the guitar be valued at $768?

Answers

Answer:

4 years

Step-by-step explanation:

Hope this helps

Answer:

4 years

Step-by-step explanation:

do 1,875 divided by 768

What happens to the equation when y = -3 becomes y = 2?

Answers

Answer:

-3 = 2 which the statement isn’t true & y is less than the number

Step-by-step explanation:

-2 to both sides or keep it the same

-3 = 2

—2     -2

-5 = 0

A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?​

Answers

Answer:

1.1×10^-4

Step-by-step explanation:

we move the point from where to in between 1.1 and counts the number of numbers it has crossed..in this case it 4...which should be -4

Which set of numbers could represent the side lengths of a right triangle? ​

Answers

Answer:

B

Step-by-step explanation:

Solve 54 - 10x s 20 + 7x.

Answers

9514 1404 393

Answer:

  2 ≤ x

Step-by-step explanation:

Maybe you want to solve ...

  54 -10x ≤ 20 +7x

  34 ≤ 17x . . . . . . . . . . . . add 10x-20 to both sides

  2 ≤ x . . . . . . . . . . . . . .  divide by 17

Expression 10 x (250 + 45) years

Answers

Answer:

2950

Step-by-step explanation:

the answer is 2950 the reason why is if u solve the given problem this is what you get

Answer:

250+45=325 x 10=3250

Step-by-step explanation:

what the square root of 2000

Answers

Answer:

44.7213595

Step-by-step explanation:

I need to write something here apparently

Which row of the table reveals the x-intercept of function f?

Answers

Answer:

Row two (-4, 0)

Step-by-step explanation:

Because of the zero in the y the point does not move from the x-axis.


Simplify the expression:
-3(3 – 06y)

Answers

Answer:

18y−9

Step-by-step explanation:

Answer:

-9 - (-18y)

simplified more answer : -9 + 18y

if the 06 is a decimal then: answer: -9 - (-1.8y)

more simplfied answer: -9 + 1.8y

Step-by-step explanation: -3 x 3 = -9

-3 x 6y = -18 y

(if 06 a decimal: -3 x 0.6y = -1.8y)

variable answers (answers with a letter ) cannot be added together with a non variable answer

Prove (n + 6)² – (n + 2)² is always a multiple of 8​

Answers

Step-by-step explanation:

(n+6)^2-(n+2)^2=(n+6-n-2)*(n+6+n+2)=4*2*(n+4)=8*(n+4) so it is always a multiple of 8

what is the y intercept and slope of this equation (will mark brainliest!!)

Answers

Answer: y-intercept is 3 1/3. slope is 7/9

Step-by-step explanation:

Solve using long division (2x^3+5x^2-2x-15)/(2x-3)

Answers

X to the power of 2 + 4x +5

x and y are two non-zero real numbers such that: x²-y²=15 and x+y=3√5. then x-y=
A. √15
B. √5
C. -3√5​

Answers

Answer:

[tex](x-y)=\sqrt{5}[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that:\\x^2-y^2=15\\x+y=3 \sqrt{5}\\Now,\\We\ know\ that,\\If\ x\ and\ y\ are\ two\ real\ numbers,\\Then:\\(x+y)(x-y)=x^2-y^2\\Here,\\Substituting\ (x+y)=3\sqrt{5}\ in\ the\ LHS\ and\ (x^2-y^2)=15\ in\ the\ RHS,\\(x+y)(x-y)=x^2-y^2\\3\sqrt{5} (x-y)= 15\\Hence,\\(x-y)=\frac{15}{3\sqrt{5} } \\(x-y)=\frac{5*3}{3\sqrt{5} }\\(x-y)=\frac{5}{\sqrt{5} } [Cancelling\ 3\ from\ the\ numerator\ and\ denominator]\\(x-y)=\frac{\sqrt{5}*\sqrt{5} }{\sqrt{5} }\\(x-y)=\sqrt{5}[/tex]

Please help !! Will mark brainliest answer

Answers

Answer:

x = 12

Step-by-step explanation:

18:24 (comparing the same sides for the similar shapes; 18 and 24) when simplified down is equal to 3:4.

Using this 3:4 scale factor we can find the missing side x.

Solving for x :

[tex]\frac{3}{4}[/tex] × 16 = 12

x = 12

OR: Set up a proportion:

[tex]\frac{24}{16}[/tex] × [tex]\frac{18}{x}[/tex]

cross-multiply

16 × 18 = 288

24 × x = 24x

288 = 24x

x = 12

Twenty people attended a going away party for Zach.The guest left in groups of 2.By 9:00,x groups had left.Rewrite the number of guests remaining at 9:00 as a sum.

Answers

Answer:

The number of guests remaining at 9:00 is;

(20-2x)

Step-by-step explanation:

From the question, we are told that x groups have left

Since they are leaving in groups of 2, x groups means a total of x * 2 = 2x

So we have 2x left out of a total 20; the people remaining at the party will be;

20-2x

What are the coordinates of the points after a 90 rotation about​ L? Counterclockwise

Answers

Answer:

 The answer is L'(-2,2), M' (-6,4), and N' (-5,-4)

Step-by-step explanation:

Mapping Rule for 90 Counterclockwise Rotations

1) switch the x and y coords

2) multiply the new x coords by -1

3) Simplify

(x,y) --> (-y,x)

Example Problem

Rotate the point N(2,-4) 90 counterclockwise around the origin.

N(2,-4) --> N' (4,2)

I hope this helps you. I know the example problems always helped me understand.

What is a correct procedure for solving the equation above?Need now‍♀️

Answers

X= 6 is your answer I know the answer but I’m not sure how to explain by typing

NEED HELP PLSS!!!



pls dont answer if you dont know

Answers

Answer:

the second one is 343 to the 5 power

Step-by-step explanation:

thats all i know

srry honey

Answer:

[tex]16 {x}^{14} [/tex]

[tex] {7}^{15} [/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDASgiven:(8x⁸)(2x⁶)(7³)⁵tips and formulas:[tex]( {hx}^{a} )(g {x}^{b} ) = hg {x}^{a + b} [/tex][tex]( {x} ^{a} )^{b} < = > {x }^{ab} [/tex]let's solve:

[tex](8 {x}^{8} )(2 {x}^{6} ) \\ 8 \times 2 \times {x}^{8 + 6 } \\ 16 {x}^{14} [/tex]

[tex]( {7}^{3} ) ^{5 } \\ {7}^{5 \times 3} \\ {7}^{15} [/tex]

What is the simplest form of this expression?
(X - 4)(x4 + 3x - 5)

Answers

You raise x to the 4 the power, then take the cube root

What number is the same as distance from 0 on a number line as 1 1/2

Answers

Answer: What is the distance from 0 on a number line called?

The distance between a number's place on the number line and 0 is called the number's [absolute value]. To write the absolute value of a number, use short vertical lines (|) on either side of the number.

Step-by-step explanation:

Here's a hint. I hope this helps.

I need help with this ​

Answers

Answer:

Step-by-step explanation:

9/I0 x 2/2 =9/I0

Or 0.9 in decimals

Answer:

The answer is IN the question... (9/10)

Step-by-step explanation:

Ok well you multiply the numberator and denominator by 2 which makes 18/20 but OH THAT CAN BE SIMPLIFIED SO DIE FRACTION! so then you divide both sides by 2 and you get the original 9/10

plz brainliest :)

A pool measuring 80 ft long × 40 ft wide × 16 ft high is half filled with jello for a charity event. A second pool that measures 50 ft long × 16 ft wide × 12 ft high is completely filled with jello. All the jello in the second pool is pumped into the first pool. What is the height of the jello in the first pool now?

Answers

Answer:

The answer is  11

Step-by-step explanation:

the store offers a 40% discount the regular price of a t-shirt is 22 what is the discount price?​

Answers

Answer:

$8.80

Step-by-step explanation:

So because [tex]40\% = .4[/tex], then the equation is [tex].4 \times 22[/tex] which equals [tex]8.8[/tex], or $8.80.

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