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?

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

the registration fee for a used car is 0.8% of the sale price of 5,700. How much is the fee

NEED HELP LOTS OF POINTS

Read the passage. Which statement best describes how Belle changes over the course of the story?

Riding a Bicycle
It was a bright Sunday morning when Belle woke up with the biggest smile on her face. She had been looking forward to this day for a long time. Her father was going to teach her to ride a bicycle. She dressed quickly and gulped down her breakfast.

After breakfast, Belle’s father showed her the different parts of a bike. Then he said he would hold onto the back of the bike while she peddled. But Belle’s excitement got the better of her. She said she wanted to try riding by herself. Her father let go. Belle quickly lost her balance and crashed to the ground. The fall dazed her. She grumpily agreed to let her father keep holding the bike while she rode.

Every once in a while, he would let go. The moment he did, Belle would lose her balance and topple over. Her father explained that this was perfectly normal. He said that all first-time riders fall. Even so, Belle’s mood darkened with each fall. After a while, she wanted to give up and return home.

Belle’s father tried to talk her out of quitting. He pointed toward some other children biking nearby. He showed her how happy they looked as they rode their bicycles. He told her she needed to keep trying. With a little more effort, she would soon enjoy riding just like the other children. His words gave Belle the determination to keep going.

After several more failed tries, Belle finally got the hang of it. She began gently peddling by herself, beaming with pride. She had finally done it! That night, she went to bed with a couple of bruises and cuts. But she had an even bigger smile on her face than she’d had in the morning. She would forever remember this day and the lesson she learned about never quitting.



A.
Belle starts showing more trust in her father as he teaches her how to ride a bike.
B.
Belle becomes less excited as the story goes on, until her excitement for bike riding disappears.
C.
Belle learns both how to ride a bike and how important it is not to give up.
D.
Belle gets hurt from falling off her bike, which scares her away from bike riding for good.

The paraboloid z = 3 − x − x2 − 2y2 intersects the plane x = 1 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point (1, 3, −17). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.

4(2q - 3) = 8q - 12 | one solution, no solution, or many soulutons

A packaging company makes package peanuts in two containers, rectangular prisms and cylinders. The rectangular prism has a length of 6 feet, a width of 3 feet, and a height of 5 feet. The cylinder of peanuts has a diameter of 7 feet and a height of 10 feet. How many rectangular prisms contain the same amount of peanuts as one cylinder container? Round your answer to the nearest tenth.

I need help with this​

Samuel needs to mail a package to his friend in New York. He places an address label with the length represented by

the function l(x) = 3x

3 + 2x

2 − 4x + 5 and the width represented by the function w(x) = x + 2.


Part A: Find the area of the label.


Part B: Which of the following statements are true about the area of the label? Select ALL that apply.

 A(x) = l(x) + w(x)

 The resulting polynomial for A(x) will be a 4th degree polynomial

 l(x) =

A(x)

w(x)


 The resulting polynomial for A(x) will have a leading coefficient of 6

 A(x) = l(x) ∙ w(x)

 The resulting polynomial for A(x) will have a constant term of 10

Solve for x
5x/6-2=8

What is the sum of angles A + B + C?

Taiga’s teacher asked him to draw a polygon with vertices (–4, –5), (–5, 2), (–5, 3), (–4, 5), (2, 3), and (–3, 0) and to identify the polygon. Taiga drew the polygon below and identified it as a heptagon. On a coordinate plane, points are at (negative 4, negative 5), (negative 5, 2), (negative 5, 3), (negative 4, 5), (2, 3), and (negative 3, 0). Which explains whether Taiga is correct? Taiga is correct because the polygon has six sides. Taiga is correct because the sides have different lengths. Taiga is not correct because the polygon is a hexagon. Taiga is not correct because he drew the polygon incorrectly.

A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1 cup = 1/8 half gallon = 0.125 half gallon. How many cakes can the bakery make?

A. 43 cakes
B. 288 cakes
C. 345 cakes
D. 576 cakes

George earns $9.50 per hour and $35.00 commission per sale, but he pays $12.00 in license fees each week. Mary earns $13.50 per hour and $11.25 for every defect she corrects, but she must pay $37.00 for tool rentals each week. The expressions below represent their individual earnings for every two-week pay period. George: 9.5h+35s−2(12) Mary: 13.5h+11.25d−2(37) where: h = the number of hours worked s = the number of sales George makes d = the number of defects Mary corrects

Choose one of the formulas, i do not know which one to choose from.Explanation as well please.

At the end of week one, a stock had increased in value from $5.75 a share to $7.50 a share.Find the percent of increase at the end of week one to the nearest tenth of a percent.At the end of week two, the same stock had decreased in value from $7.50 to $5.75.Is the percent of decrease at the end of week two the same as the percent of increase at the end of week one?Justify your answer.

If multiple people answer i will mark the the first brainliest

select all expressions equivalent​

For a rotation r ( x ∘ , P ), which of the following is not true?
For a pre-image point P, m∠PAP′=x degrees.

For the a preimage point A, PA=PA′

The expression A=B r ( x ∘ , P ) A = Br ( x ∘ , P ) A = Br ( x ∘ , P ) A = Br ( x ∘ , P ) A = B means that when point A is rotated x° around point P its image is located at point B

The transformation rotates every point in the preimage x° about a point P​

this is confusing and my stomach really hurts rn and im not in the mood to do geometry so can someone please help me

If I have a Siberian Husky, then I have a dog." Identify the hypothesis

how do I graphy y = 2/3x - 1​

Help please before its taken:)

pls help before 11:59

Which equation shows the ASSOCIATIVE property?

Question 3 options:

6 - 9 + 5 = 6 - (-9) + 5


(6 + (-9) + 5) = (6 + 5) + (-9)


-9 + (6 + 5) = -9 - 6 - 5


(6 + (-9)) + 5 = 6 + (-9 + 5)

Anyone who is kind to answer please

5 + x - 14 = -15. Solve for X

Please help me quick!!
Jenny earns $30 a day working part time at a supermarket. She also earns $12 per hour for
babysitting. How much money does she earn from herTWO DIFFERENT JOBS? (Hint: Use two different
variables)

why are there two values of theta if tan theta = 0.4226

Help! I'm really confused! (I used Math because I got wrong answers in other subjects)

P.S The Answer isn't A or B :/

Find the missing side. Round to the nearest tenth.

Which one is correct

what is 4 9/10 as an improper fraction