A store is having a sale on walnuts and chocolate chips. For 12 pounds of walnuts and 2 pounds of chocolate chips, the total cost is $45. For 3 pounds of walnuts and 5 pounds of chocolate chips, the total cost is $18. Find the cost for each pound of walnuts and each pound of chocolate chips.

cost for each pound of walnuts:
cost for each pound of chocolate chips:

Answers

Answer 1

Answer:

Each pound of walnuts cost $3.50 and each pound of chocolate chips cost $1.50

Step-by-step explanation:

Let the cost of one pound of walnuts = $w

and the cost of one pound of chocolate chips = $c

Cost of 12 pounds of walnuts and 2 pounds of chocolate chips = $45

12w + 2c = 45 ------(1)

Cost of 3 pounds of walnuts and 5 pounds of chocolate chips = $18

3w + 5c = 18 --------(2)

Multiply equation (2) by 4 then subtract it from equation (1)

(12w + 2c) - (12w + 20c) = 45 - 72

-18c = -27

c = [tex]\frac{27}{18}[/tex]

c = $1.5

Substitute c = 1.5 in equation (1),

12w + 2(1.5) = 45

12w = 45 - 3

w = [tex]\frac{42}{12}[/tex]

w = $3.5

Therefore, each pound of walnuts cost $3.5 and each pound of chocolate chips cost $1.5


Related Questions

What’s the area of the semi circle

Answers

14.18 because you do pi times the radius squared and divide it by 2.

A
B
C
D
need this to be right!!!!!

Answers

The correct answer is C!!


Hope this helped!!!

Answer:

c

Step-by-step explanation:

5x-10=-10

5x=-10+10

5x=0

x=0/5

x=0

Sue deposited $1,850 in a savings account. How much would she earn in three years if the bank paid 6.75% simple interest?

I would love an explanation if possible that way I can actually learn lol. Thx!

Answers

The answer is 374.625

Here,just we have to apply the formula of interest and that is Principal*time*rate/100

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

$374.63

Step-by-step explanation:

Find the interest paid by the bank per year by working out 6.75% of 1850 (1850x0.0675)

Then multiply this by 3 as it is three years, to get 374.625, then round it to 2 decimal places.

find the square root of each of the following decimal numbers correct to two places of decimal : I. 175.01 II. 423.74 III. 5893.27 iv.7136.8​

Answers

Answer:

i. 13.23

ii. 20.58

iii. 76.77

iv. 84.48

Step-by-step explanation:

Here , we are to calculate the square root of we have of the decimal numbers and correct to two decimal places.

i. √(175.01) = 13.229 = 13.23

ii. √(423.74) = 20.5849 = 20.58

iii. √(5893.27) = 76.767 = 76.77

iv. √(7136.8) = 84.4795 = 84.48

Kindly note that the approximation to two decimal places are the figures after the equal to

The ratio of yes votes to no votes was 5 to 7. If there were 10,092 total votes, how many yes votes were there?

Answers

Answer:

4,205

Step-by-step explanation:

5 + 7 = 12

10,092 ÷ 12 = 841

multiplier for the ratio is therefore 841.

5:7 is yes:no

since you want the number of yes votes, u take the 5 and multiply it by the multiplier found before.

5 × 841 = 4,205 yes votes.



Of the songs in Nicholas's music library, 1/2 are rock songs. Of the rock songs, 2/5 feature a guitar solo. What fraction of the songs in Nicholas's music library are rock songs that feature a guitar solo?

Answers

Answer:

1/10

Step-by-step explanation:

I need help with question 10 please

Answers

Answer:

172

Step-by-step explanation:

13/40=x/528

40x=6864

x=172

Based on the description of the scenario, which of the variables is the dependent variable?

Answers

Answer:

We need the scenario.

Step-by-step explanation:

Generally the independent variable is the thing you are changing and the dependent variable is being changed based on the independent variable.

Ex:

y= x+1

x is the independent variable because you can put in whatever value you want in and y is the dependent variable because its value depends on what you choose for x if that makes sense. I would need you scenario to be able to tell you exactly what it is.

Answer:

For the first one test score

For the second  one it's y-axis

Step-by-step explanation:

I just did the assignment

calculate the formula by using simultaneous equation

1: 2x+3y = -1
x+y = -1 ​

Answers

I think that X = -2 and Y = 1

I hope my answer will serve you.

please help quickly!

What is the measure of Arc CB. How did you determine this?

Answers

Answer:

As shown in picture,

Angle CDF = Angle BDE = 54 deg (pair of opposite angles)

Angle CDB = 180 - CDF = 180 - 54 = 126 deg (BF is a diameter).

=> Arc CB = Angle CDB = 126 deg (property of angle on circle)

Hope this helps!

:)

Expand 4(-2x - 3)
Factorise 5n + 15​
シ︎❤︎✰✌︎

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

Have a great day...

What is the measure of angle b ?!

Answers

Answer:

the answer is 47

Step-by-step explanation:

first you would add the sum of angle A to the sum of angle D. next you would subtract 180 from 133 to get 47. then you can check your answer by adding 34 and 47 which is 81 and then subtract that from 180 to get the measure of angle D.

34+99=133: 180-133=47

34+47=81: 180-81=99

Hope this helps.

a rectangle is reduced by a scale factor of 1/4 which choices show the ratio of the area hurry because i need this for a test

Answers

Aleecha107Junior Moderator

Answer:

The area would be 1 : 16 ratio, of the smaller rectangle to the larger one.

Step-by-step explanation:

I used a rectangle with the side length of 1 to model this for me. You can choose any number, but 1 is easy to multiply.

If the original rectangle had a side length of 1 and 1, the area would be 1.

If you reduce the size to 1/4th of the size, the area would be 0.0625, or 1/16th of the original.

I hope this helped!

Aiyanah made 12 withdrawals of $175.25 each from her bank account. Then she made 17 deposits of $235.66 to her same account that same day. What was the overall change in her account that day?

Answers

Answer:

The overall change is $1903.22

Step-by-step explanation:

Let us approach this problem step wise

1.Firstly let us calculate all 12 withdrawal of $175.25

12*$175.25= $2103

2. Let us calculate all the deposits made 17* $235.66 = $4006.22

With these figures we can calculate the overall changes as

= $4006.22-$2103= $1903.22

Nathan took his car in for service and repair. He had a coupon for 15% off. $261.36 $381.25 $77.52 Which amount is closest to Nathan's total costs after the 15% discount and 7% sales tax?

Answers

Answer:

Total amount to be paid = $655

Step-by-step explanation:

Given,

Total price before coupon is  = 261.36 +381.25+77.52

= $720.13

Discount = 15%

Amount of discount = 15% of total amount

Amount of discount = [tex]\frac{15}{100} \times 720.13[/tex]

= $108.02

Remaining amount = Total amount - discount amount

Remaining amount = $720.13 - $108.02

= $612.11

Sales tax = 6%

Amount of sales tax = 6% of remaining amount

[tex]=\frac{6}{100} \times 612.11\\\\=42.85[/tex]

Amount to be paid = Remaining amount + sales tax

= 612.11 + 42.85

= 654.96

Rounding off to nearest whole number;

Total amount to be paid = $655

Kevin won two goldfish at the county fair. He put them in a bowl with 2 liters of water. The next day, he bought a fish tank that holds 75 liters of water.How much more water does the tank hold than the bowl?

Answers

Answer:

UDCVUEGBCYEJJAJAJ

Step-by-step explanation:

please help I need it.

Answers

Answer:

option 2

Step-by-step explanation:

√8^2+(22/2)^2=√64+121=√185≈13.6

Solve for v.

–5v = 3v − 16

Answers

。☆✼★ ━━━━━━━━━━━━━━  ☾  

-5v = 3v - 16

- 3v

-8v = -16

/ -8

v = 2

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

Answer:

v = 2

Step-by-step explanation:

-5v = 3v - 16

- 3v

-8v = -16

/ -8

v = 2

Dylan has a square piece of metal that measures 17 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?

Answers

Answer:

24 Inch

Step-by-step explanation:

When the square piece of metal is cut along the diagonal, it forms two right triangles where each of the right triangle has legs of 17 inches.

To determine the length of the hypotenuse, we use the Pythagorean Theorem.

[tex]\text{Pythagoras Theorem}: Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=17^2+17^2\\Hypotenuse^2=289+289\\Hypotenuse^2=578\\Hypotenuse=\sqrt{578} \\=24.04\\\approx 24$ inch ( to the nearest tenth of an inch)[/tex]

Answer:

24 square inches

Step-by-step explanation:

Which series of transformations results in a figure that is SIMILAR to the original figure. Select all that apply.

Translation, Reflection, Rotation

Translation, Dilation, Reflection

Dilation, Reflection, Rotation

Rotation, Rotation, Translation

Rotation, Translation, Reflectio

Answers

Answer:

Translation, Reflection, Rotation

Step-by-step explanation:

In mathematics, objects undergo series of transformations. Transformation can be defined as the movement of an object from one particular position to another position

The transformations that an object undergoes are such that the resulting figure created is SIMILAR TO OR THE SAME AS the original figure is referred to as ISOMETRIC TRANSFORMATIONS.

They are:

a) Translation: The movement that occurs in translation of objects is the sliding movement. During translation, an objects is moved from one point to another point without rotating or reflecting the object. This is also known as sliding.

b) Reflection: During reflection, an object is transformed turning it over the line of reflection to another side or position.

c) Rotation: Rotation is the transformation of an object by rotating the object about a fixed point.

Please help me in this small question.

Answers

Answer:

y = 80

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5 , thus

sum = 180° × 3 = 540°

Sum the internal angles and equate to 540

110 + y + 2y + y + 110 = 540 , that is

4y + 220 = 540 ( subtract 220 from both sides )

4y = 320 ( divide both sides by 4 )

y = 80

What is 60% of 150? Please answer.

Answers

Answer:

90

Step-by-step explanation:

Answer:

Your answer is 90

Step-by-step explanation:

You take 150 and multiply it by .6 to get 90

Someone help please! I put A but I’m not sure if it’s correct.

Answers

Answer: B

21x^2-17x+2

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The correct answer is D

Step-by-step explanation:

Find the area of the triangle.
b = 40 m
h=13.4 m​

Answers

Answer:

[tex]268 {m}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{1}{2} \times b \times h \\ \frac{1}{2} \times 40 \times 13.4 \\ = 268 {m}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Which two expressions have the same value?

Answers

Answer:

a.

Step-by-step explanation:

i don't know the explanation step by step

A sporting equipment company wants to sell a new bicycle helmet. They have developed a function, shown below, where total profit, p, can be determined based on sale price, s.



What will be the total profit if the sale price of the helmet is $60?

Answers

Answer:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

Step-by-step explanation:

Using the following info in order to complete the problem:

p(s)=-24s^(2)+2200s-18000

$112,560

$27,600

$111,120

$236,400

$14,240

We have the following function given:

[tex] p(s) = -24s^2 +2200 s -18000[/tex]

If we use the valie of s =60 we have

[tex] p(60) = -24 (60)^2 +2200*60 -18000[/tex]

And after solve we got:

[tex] p(60)= -86400 +132000 -18000 =27600[/tex]

So then the best option for this case would be:

$27,600

Describe and correct the error in solving each of the equations.

Answers

Answer:

left side: 3x *- (-2x) =8+7 right side: 2v -10 = -3v *-5

Step-by-step explanation:

on the left side you add 2x to move it from the right to the left. on the right side you multiply negative with positive which is negative

In the U.S., approximately 8.3% of the population has diabetes. Maryland's rate of diabetes for its residents is 12% higher than the national average. What is the rate of diabetes in the state of Maryland? *

Answers

Answer:

9.30%

Step-by-step explanation:

Given;

The average rate in the national average N = 8.3%

The average rate in Maryland R = 12% higher than national

R = N + 12% of N

R = N + 0.12N

R = 1.12N

R = 1.12 × 8.3%

R = 9.296%

R = 9.30%

Rate of diabetes in Maryland = 9.30%

Match the terms of this geometric sequence with their term numbers. 5, 10, 20, 40, 80, 160, ...
Boxes: [12th term] [nth term] [2nd term] [4th term] [(n-1)th term] [6th term]
Terms to be put in boxes: 5*2^4-1, 5*2^2-1, 5*2^12-1, 5*2^n-2, 5*2^6-1

Answers

Answer:

12th term: [tex]a_{12}=5\times 2^{12-1}[/tex]

nth term: [tex]a_n=5\times 2^{n-1}[/tex]

2nd term: [tex]a_{2}=5\times 2^{2-1}[/tex]

4th term: [tex]a_{4}=5\times 2^{4-1}[/tex]

(n-1)th term: [tex]a_{n-1}=5\times 2^{n-2}[/tex]

6th term: [tex]a_{6}=5\times 2^{6-1}[/tex]

Step-by-step explanation:

The first term of GP, a = 5

Common ratio, r = 2

Formula for [tex]n^{th}[/tex] term of a GP,  [tex]a_n=ar^{n-1}[/tex].

Putting the values of a and r. So, [tex]n^{th}[/tex] term is:

[tex]a_n=5\times 2^{n-1} ...... (1)[/tex]

[tex]12^{th}[/tex] term is:

Put n = 12 in (1):

[tex]a_{12}=5\times 2^{12-1}[/tex]

2nd term is : (Put n = 2 in (1))

[tex]a_{2}=5\times 2^{2-1}[/tex]

4th term is: (Put n = 4 in (1))

[tex]a_{4}=5\times 2^{4-1}[/tex]

(n-1)th term is, put value of n as (n-1) in equation 1:

[tex]a_{n-1}=5\times 2^{n-1-1}\\a_{n-1}=5\times 2^{n-2}[/tex]

6th term is:  (Put n = 6 in (1))

[tex]a_{6}=5\times 2^{6-1}[/tex]

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