Nuts.com sells raw almonds for $8 per pound and roasted pistachios for $9 per pound. Christopher spends $162, before taxes and shipping, to purchase 19 total pounds of nuts. How many pounds of pistachios did Christopher purchase?

Answers

Answer 1

Answer:

The pounds of roasted pistachios nuts Christopher purchases is 10 pounds

Step-by-step explanation:

The given parameters are;

The price of raw almonds at Nuts.com = $8 per pound

The price of roasted pistachios at Nuts.com = $9 per pound

The amount Christopher spends on Nuts = $162

The quantity of nuts Christopher purchase = 19 pounds

Let the pounds of raw almonds nuts Christopher purchases = X and the pounds of roasted pistachios nuts Christopher purchases = Y

∴ $8·X + $9·Y = $162...(1)

X + Y = 19...(2)

Making X the subject of the formula in equation (2), we have;

X = 19 - Y

Substituting the value X in equation (1) gives;

$8·(19 - Y) + $9·Y = $162

$152 - $8·Y + $9·Y = $162

$1·Y = $162 - $152 = $10

Y = $10/($1) = 10

Y = 10 pounds

The pounds of roasted pistachios nuts Christopher purchased = Y = 10

The pounds of roasted pistachios nuts Christopher purchases = 10 pounds

X = 19 - Y = 19 - 10 = 9

X = 9 pounds

The pounds of raw almonds nuts Christopher purchases = X = 9

The pounds of raw almonds nuts Christopher purchases = 9 pounds


Related Questions

As the exponent on the base 10 increases, does
the standard notation number get larger or
smaller in value? Explain why.

Help Please

Answers

Answer:

Since the exponent on 10 is positive, I know they are looking for a LARGE number, so I'll need to move the decimal point to the right, in order to make the number LARGER. Since the exponent on 10 is "12", I'll need to move the decimal point twelve places over.

First, I'll move the decimal point twelve places over. I make little loops when I count off the places, to keep track:

3.6 _ _ _ _ _ _ _ _ _ _ _ .

Then I fill in the loops with zeroes:

3.600000000000.

In other words, the number is 3,600,000,000,000, or 3.6 trillion

Step-by-step explanation:

When we say exponent on base 10, this is represented mathematically as:

[tex]10^{x}[/tex]

Where:

10 = Base 10

x = Exponent

When the exponent on the base 10 increases, the standard notation number gets larger in value. This is because the exponent is directly proportional to the size of the standard notation of the number.

For example:

[tex]10^{2} = 100[/tex]

[tex]10^{3} = 1000[/tex]

[tex]10^{8} = 100000000[/tex]

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how do i solve this?

Answers

2x+57+61=180
2x+118=180
2x=62
X=31

how many solutions does a independent system of equations have?

Answers

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

Please help me :( someone anybody just once I won’t ask again

Answers

Answer:

1) 77

2) -11

3) -11

4) 7

5) 29

Step-by-step explanation:

Just sub the x into the equation.

*I recommend checking my answers, but this is what I would put/

Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. This is the graph Jada gets if she allows s to take on any value between 0 and 7.5. What would be a more appropriate domain for Jada to use instead?

Answers

Answer:

A more appropriate domain would be all real numbers except x = 5.5

Step-by-step explanation:

Given that the domain of a rational function consists of the set of real numbers but excluding those real numbers that results in a zero in the denominator

The given graph of the function has a vertical asymptote at s = 5.5 which indicates a value for which the function is not defined and at x = 5.5, and as such the value (5.5) of the asymptote is not a member of the function's domain

The values of the domain of a function consisting of a reciprocal must exclude does that result in a zero denominator.

The domain of the function that represents Jada's trip is the set of input value the function can take

The appropriate domain is: all real numbers except x = 5.5

From the graph, we can see that:

The x-value starts at negative infinity, and ends near 5.5The x-value then continues near 5.5, and ends at positive infinity

This means that the input of the graph cannot be 5.5

Hence, an appropriate domain would be: [tex]\mathbf{x \ne 5.5}[/tex]

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Charlie had 150 feet of wire. If he cut the wire into 12 equal pieces, how long was each piece of wire?

Answers

12.5 would br your answer

Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how old is Nicholas?

Answers

Answer:

Step-by-step explanation:

Henry is 3 more than twice Nicholas' age. You can write this as :

H = 3 + 2N

Marcus is 9 less than 6 times Nicholas' age:

M = 6N - 9

Since Henry and Marcus are twins, this means H = N.

3 + 2N = 6N - 9

Add 9 to both sides

12 + 2N = 6N

Subtract 2N from both sides

12 = 4N

Divide both sides by 4 to find N.

N = 12/4 = 3

Helpppppp it’s middle school stuff

Answers

Answer: Melendez

Step-by-step explanation:

If you divide the amount of water each family uses by the ammountof people in the family, melendez has the lowest per person.

What is equivalent to ³√27a³b⁷

Answers

Answer:uu

Step-by-step explanation:

Which sum does the model below represent?

4 positive tiles and 7 negative tiles.
4 + (negative 7) = negative 3
4 + 7 = 11
8 + (negative 3) = 4
11 + (negative 4) = negative 3

Answers

The sum the model below represents will be 4 + (negative 7) = negative 3. Option A is correct.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, the expression is 4 positive tiles and 7 negative tiles. We have to apply summation for the given expression,

Expression is the combination of constants and variables with mathematical operators.

The model is algebraically solved as,

=4+(-7)

= -3

Thus, the sum the model below represents will be 4 + (negative 7) = negative 3. Option A is correct.

Learn more about the arithmetic operation here:

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What are parallel lines cut by a transversal?

Answers

In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles .

write equivalent fractions for 3/5 and 1/4 using 20 as the common denominator

Answers

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

Hope this helped you!!

Equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.

Define equivalent fractions.

A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.

[tex]\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}[/tex]

  [tex]=\frac{12}{20}[/tex]

[tex]\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}[/tex]

  [tex]=\frac{5}{20}[/tex]

So, equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.

Find out more information about fraction here:

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the product of 120 and b is equal to 312
Write the sentence as an equation.

Answers

Answer:

120 + b = 312

Step-by-step explanation:

...

7w = 49 Can anybody help me with this one too?

Answers

Answer:

w=7.

Step-by-step explanation:

Divide 7 on both sides of the equation.

Answer:

7w=49

7 × w = 49

w= 49÷7

w=7

reduce your answer to its lowest term 15/16 - 8/16​

Answers

Answer:

7/16

it can't be reduced

how far does alex swim

Answers

Answer:

24 meters

Step-by-step explanation:

Name the longest and shortest side in the triangle.

Answers

Answer:

the answer is C Because the lm is the long side and mn is the short side

Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?

Answers

Answer:

$7.80

Step-by-step explanation:

$2.60 * 3 = $7.80

You have a recipe that requires 1/3 cup of sugar but you only want to make a fourth of the recipe how much sugar do you need to make this fraction of the recipe? A) 1/12 cup b) 7/12 cup c) 3/4 cup d) 4/3 cup

Answers

Answer:

A

Step-by-step explanation:

how I solved it was 4x3=12

Answer:

A.

Step-by-step explanation:

That is  1/4 * 1/3 = 1/12,

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?

-3/4m-1/2=2+1/4m


o 2
o 3
o 4
o 5

Answers

Each term can be multiplied by 4 to eliminate the fractions Because -3/4x 4 is -3, -1/2 x 4 is -2, and 1/4 x 4 is 1.

Can you Help me out?!

Answers

Answer:

3/4

Step-by-step explanation:

2/9 are lemon

Hope this helps ;)
Please mark me as the Brainliest ;)

James and Tyree have new jobs at YumYum’s Ice Cream Parlor. James is Tyree’s manager. In their first year, James will be paid $14 per hour and Tyree will be paid $7 per hour. They have been told that after every year with the company, they will each be given a raise of $2 per hour. Is this realationship porprotional?

Answers

Answer:

No.

Step-by-step explanation:

(h represents the hours; y represents years; m represents the total money they'd get!)

If you put this into an equation, for James it would be:

14h +2y = M

For Tyree, it would be:

7h + 2y = M

Because the numbers don't match up, the answer is no. The relationship is not proportional.

What is the slope of the line that passes through the points (-2, -1)
and (2, -3)? Write your answer in simplest form.

Answers

Plug this into the formula y2 - y1 / x2 - x1

-2 = x1, x2 = 2, y1 = -1, y2 = -3

-3 - (-1) / 2 - (-2)

-2 / 4

-1/2

The slope is -1/2.

If you bring 2 pairs of shoes, 10 items of regular clothes, and 2 coats, how much will your bag weigh?

Answers

well what does 2 pairs of shoes weigh this question cannot be completed if we don’t know the weight of the items

The weight of the bag =

Weight of 2 pairs of shoes  + weight of 10 items of regular clothes + weight of 2 coats.

What is weight?

A weight characteristic is a mathematical tool used when appearing a sum, critical, or average to provide some factors extra "weight" or impact on the result than different factors within the equal set.

What is the value of weight?

Weight Value is the basis of the overall progress calculation processes used to determine the weight of each phase in the project. It is measured based on the distribution of weight values and obtained by multiplying the weight value of each task in the project.

Learn more about weight here: https://brainly.com/question/2337612

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In the revolutionary army, muskets, x, cost $6 and bullets, y, cost $2. The army only have $600 as a nation. what equation can we use to show how many muskets and bullets we can afford if we have to spend all of our money.

A) 600x+ 2y=6
B) 6x+2y=600
C) 6+2= xy
D) 2x+ 6y=600
Please help!​

Answers

Answer:

B

Step-by-step explanation:

Using the equation on option B, we would have to multiply the cost, then the quantity needed of muskets and bullets. So B is the only option on which you have to find out how many of each the Army can afford.

Hopefully this helps! :)

20 points question is in the pic pls hurry will also brainliest

Answers

Answer:

( 1 , 4 )

Step-by-step explanation:

This Is Where The Coordinates Of M Are IN the Graph. Hope This Helps! Please Rate Brainiest!

-Aslina

Were rotations or translations harder for you to learn? Please explain why.

Answers

Answer:

yes

Step-by-step explanation:

bc  when u do rotations you have to do it step by step and if u miss a step u wont get in right

Answer: Rotations

Step-by-step explanation:

Because the conversions are a bit tricky to deal with.

if 2x – 1 is a factor of 16x4
24x3 + 2x + f, find f.

Answers

Answer:

f = -5

Step-by-step explanation:

If 2x – 1 is a factor of 16x4 + 24x3 + 2x + f, find f.

If 2x - 1 = 16x⁴ + 24x³ + 2x + f, find f.

2x - 1 = 0

2x = 1

x = 1/2

Hence

f(1/2) = 16(1/2)⁴ + 24(1/2)³ + 2(1/2) + f

= 16(1/16) + 24(1/8) + 1 + f

= 1 + 3 + 1 + f

= 5+ f

f = -5

liniar systems
3x-2y=-7
2x+5y+=8

Answers

Answer: 3x-2y=-7=  Slope = 3.000/2.000 = 1.500

 x-intercept = -7/3 = -2.33333

 y-intercept = 7/2 = 3.50000

2x+5y+=8

 Slope = -0.800/2.000 = -0.400

 x-intercept = 8/2 = 4

 y-intercept = 8/5 = 1.60000

Step-by-step explanation:

Translate this sentence into an equation.
Goran's height increased by 13 is 48.
Use the variable g to represent Goran's height.

Answers

Answer:

g+13=48

Step-by-step explanation:

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