Adam, Barry, and Charles visited a small farmers market last Saturday. Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes. Barry bought 1 dozen eggs and 10 pounds of potatoes, while Charles purchased 2 dozen eggs and 2 pounds of potatoes. If Adam’s bill was $38.25, Barry’s $36.50 and Charles’ $17.20, how much did a dozen eggs, a wheel of cheese and a pound of potatoes cost?

Answers

Answer 1

Answer:

Dozen eggs = $5.5

Wheel of cheese = $6.25

Pound of potatoes = $3.1

Step-by-step explanation:

Let the cost

Dozen of egg = x

Wheel of cheese = y

Pound of potato = z

We will form linear equations using the information given in the question

Adam purchased 3 dozen eggs, 1 wheel of cheese, and 5 pounds of potatoes

3x + y + 5z = 38.25 ................(1)

Barry bought 1 dozen eggs and 10 pounds of potatoes

x + 10z = 36.50 ............(2)

Charles purchased 2 dozen eggs and 2 pounds of potatoes

2x + 2z = 17.20  .................(3)

solving 2 and 3

x = $5.5  and z = $3.1

substitute these values in equation 1

we get

y = $6.25

The cost

Dozen eggs = $5.5

Wheel of cheese = $6.25

Pound of potatoes = $3.1


Related Questions

Write an equation to match this graph

Answers

Answer:

its y=x+7

Step-by-step explanation:

Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

–2

–3

2

3

4

Answers

Answer:

Roots are -2, 3, and 4

Step-by-step explanation:

Let's use the rational roots test.

Starting with the constant term (24), the roots are 1, 2, 3, 4, 6, 8, 12, and 24 (both positive and negative).

Starting with 2.

8 - 20 - 4 + 24 = 8 (so 2 is not a root).

Let's try 3.

27 - 45 - 6 + 24 = 0 (so 3 is a root).  (x-3) is a factor.

Now we can divide x3-5x2-2x+24 by x-3 to get a polynomial.

x3-5x2-2x+24 / x-3

x2 - 2x - 8 = (x-4)(x+2)

Answer:

A, D, E

Step-by-step explanation:

For edge

does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.

Answers

Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

The base of a triangle is nine centimeters longer than the perpendicular height. If the area of the triangle is 180 square centimeters, what is the length of the base, in centimeters?

Answers

Answer:

The base is 24 cm long.

Step-by-step explanation:

Equations

Let's call

b= base of the triangle

h=height of the triangle

The base is 9 cm longer than the height, thus:

b = h + 9

The area of the triangle is:

[tex]\displaystyle A=\frac{bh}{2}[/tex]

[tex]\displaystyle A=\frac{(h+9)h}{2}[/tex]

And its value is 180:

[tex]\displaystyle \frac{(h+9)h}{2}=180[/tex]

Multiplying by 2:

[tex](h+9)h=360[/tex]

Operating:

[tex]h^2+9h-360=0[/tex]

Factoring:

[tex](h-15)(h+24)=0[/tex]

The only valid positive solution is:

h = 15 cm

And b = h + 9 = 24

b = 24 cm

The base is 24 cm long.

what is the difference of the fractions? use the number line to help find the answers. 4/7 - 10/7​

Answers

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

It is.

Answer:

This means that the fraction 3/4 is 3 out of 4 equal parts. So, count 3 parts from 0 and you will get 3/4. That's it! You've shown the fractions 1/4 and 3/4 on a number line!

Step-by-step explanation:

The math is just correct

a box can hold 3 1/3 pounds of gold a chest can hold 2 3/5 times the amount of the box. how many pounds can the chest hold​

Answers

Answer:

[tex]\frac{26}{3}[/tex]pounds

Step-by-step explanation:

Given parameters:

 Mass of gold in the chest box = [tex]3\frac{1}{3}[/tex]pounds

 

Unknown:

Number of pounds of gold the chest can hold = ?

Solution:

The chest can hold [tex]2\frac{3}{5}[/tex]times the amount of the box ;

So;

 Number of pounds of the gold in the chest can hold;

        =  [tex]2\frac{3}{5}[/tex] times  x Mass of gold in the chest box

        = [tex]\frac{13}{5}[/tex] x [tex]\frac{10}{3}[/tex]

        = [tex]\frac{26}{3}[/tex]pounds

Find the missing length indicated.
?
12
4
9
28
50
12.

Answers

Answer:

28 probably sorry if wrong

Compare the degree of a polynomial and its depressed polynomial.

Answers

Answer:

The degree of a polynomial is one more than the degree of its depressed polynomial.

Step-by-step explanation:

Misty wants to save money to purchase a new bicycle that costs $279. She
opens a savings account and deposits $7 per week. How many weeks will it
take for her to save enough money to buy the bicycle?

Answers

Answer: Hmm, I want to say it will be about 40 weeks before she can get the bike, hope this helps!

Step-by-step explanation:

Answer:

40 weeks

Step-by-step explanation:

What number is 45% less than 80?

Answers

Answer:

44

Step-by-step explanation:

Find 10% of 80 = 8

Multiply by 5.5 because 10-4.5

get = 44

Answer:

45% less than, or 45% of 80 would be 36.

Step-by-step explanation:

pls mark brainliest

Hi I’m confused marking Brainliest uhm show answer and show ur work pls thx

Answers

Answer:

See below.

Step-by-step explanation:

Total weekly salary:

regular weekly salary + amount from working over 40 hours

In one full week of 40 hours of work, you earn a regular salary of $340.

For each hour you work over 40 hours, you earn $12.50 per hour.

Let x = number of hours you work over 40 hours.

The amount you make from these extra hours is 12.5x

Your total weekly salary is

340 + 12.5x

You want your total weekly salary to be more than $490.

340 + 12.5x > 490

Answer:

answer

Step-by-step explanation:

If $5000 is put into a savings account that pays
3.5% interest compounded monthly, how much
money, to the nearest ten cents, would be in that
account after 6 years, assuming no money was
added or withdrawn?

Answers

Answer:

17600

Step-by-step explanation:

calculator

Based on the amount of money being saved and the amount of time it will be saved, the amount in the account after 6 years would be $6,166.51

The interest is compounded monthly which means that you need to convert the interest to a monthly figure as well as the number of years you will be investing:

3.5% / 12 months = 3.5/12%

6 years x 12 = 72 months

The amount after 6 years is:

= Amount x (1 + rate) ^ number of periods

= 5,000 x (1 + 3.5/12%)⁷²

= $6,166.51

In conclusion, the amount in the account after 6 years is $6,166.51.

Find out more at https://brainly.com/question/20883478.

25 students are working in groups on a science project age group can have either two or three students in it what is the fewest number of groups there could be ​

Answers

Answer:

I believe 9

Step-by-step explanation:

25-21=4 (21 is 7×3)

4-4=0 (2×2)

The fewest number of groups are 9.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

25 students are working in groups on a science project, age group can have either two or three students in it.

To find the fewest number of groups:

25 divided by 3 we get remainder 1.

But 1 student can not form a group.

So, we have to find the remainder number that can form a group or groups.

25 divided by 3,

we get quotient 7 and 4 remainder.

And 4 means, 2 groups of 2 students in each.

That means, the number of groups are 7+2 = 9

Therefore, 9 is the required number.

To learn more about the division;

https://brainly.com/question/13263114

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Given:x+=9 prove x=4

Answers

Reasonable Answer:

If x is 4, then the answer is 13 or 5.

Step-by-step explanation:

 9-4=5

For another reason it's 13.

4 minus 13 =9

~~~Hope this helps~~~:)

Write the slope-intercept form of the equation for a line with slope 1/3 and y l-intercept at (0,-2/5

Answers

Answer:

y=1/3x-2/5

Step-by-step explanation:

The amount $3.80 is 4% of what price?

Answers

Answer:

$95

Step-by-step explanation:

3.8=4%

100÷4=25

3.8×25

If it i´snt correct sorry :(

Answer:

$3.80 is 4% of $95.

Step-by-step explanation:

To solve this problem, divide 3.8 by 0.04.

3.8 / 0.04 = 95.

To check your math, multiply 95 by 0.04.

95 x 0.04 = 3.8

I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)

Describe the graph of x > 2 and x < 5

Answers

Answer:

y=(x−5)2

The graph of y is the standard parabolic, concave up curve of y=x2 shifted ("transformed") by 5 units right ("positive") on the x−axis,

The graph of y is shown below.

graph{(x-5)^2 [-10, 10, -5, 5]}

Answer:

I'm prettyy sure you already figured this out knowing you, so thanks;)

Step-by-step explanation:

Consider the graph below of a piecewise defined function.
Which of the following statements are true? Select all that apply.
A. The graph is increasing when x<-2.
B. The graph has a relative minimum at (0, 0).
C. The graph has two relative maximums.
D. The graph is decreasing when -2 E. The domain is -6 F. The range is x≤4.

Answers

Answer:

D is the answer

Step-by-step explanation:

d is answer hope it helps for the question

i need help with this ^

Answers

Answer:

I think it's 3

Step-by-step explanation:

If 2 is c than subtract  it and it's 3?

A manufacturer wants to produce an ice cream cone with the same volume and diameter of a spherical scoop of ice cream 6cm in diameter. What should the height of the cone be?

Answers

Answer:

IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?

Step-by-step explanation:

IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?IS THIS NIKHIL GARG?!?!?!?!?!? THE FORTNITE PRO?!?!?!?!?!?!??!?!?!?

Answer: HEY NIKHIL GARG MR. FORTNITE BATTLE ROYALE THE ANSWER IS 12

Step-by-step explanation:

TRUST BRO IF THE HEIGHT IS 12 THEN ITLL HAVE THE SAME VOLUME AS THE SPHERE, WHICH IS 36 PI

11 coommon factor of​

Answers

1? Isn’t it like a prime number

Iwefwegweg weg ewgwewegw egwe gwe gwe weg weg w

Answers

Answer:

gweew gshbx

Step-by-step explanation:

The length of the diagonal of a squere is 36 feet. Find the length of the side of the square.
I need help with this pls

Answers

Step-by-step explanation:

by PT,

36^2 = length^2 x length^2

length = 6 feet

Topic: Pythagoras theorem

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

The number line shows the graph of an inequality:

A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the seventh mark to the left of 0. The region to the left of the empty circle is shaded.

Which statement explains whether −4.5 can be a value in the shaded region? (5 points)

Group of answer choices

No it cannot, because −4.5 lies to the left of −3.5.

No it cannot, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the right of −3.5.

Yes it can, because −4.5 lies to the left of −3.5.

Answers

Answer:

Problem  says that the number line shows the graph of an inequality: A number line is shown from negative 5 to positive 5 with increments of 0.5. All the whole numbers are labeled on the number line. An empty circle is shown on the third mark to the left of 0. The region to the left of the empty circle is shaded. Graph is not given so I have created graph as per given description.

Now we have to select correct choice.

From graph we can easily see that third statement

"Yes it can, because −3.5 lies to the left of −1.5. " is correct.

Step-by-step explanation:

The answer is D

I NEED HELP! I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLY! :D

Answers

Answer:

1. Train B is faster

Step-by-step explanation:

Train b travels a greater distance in 2 hours than train A.

Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.

How do you get from one number to the next using multiplication or division?
From 100 to 106
From 100 to 90
From 90 to 100
From 106 to 100

Answers

Answer:

You use decimal values. Like for the first one, multiply 100 by 0.01.

Step-by-step explanation:

The multiplication or division is 10^6/10^4

How to interpret integral multiplication?

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

Given;

From 100 to 10^6;

100 * 10^4  = 10^6

From 100 to 90;

100/10*9=90

From 90 to 100

90/9*10=100

From 10^6 to 100

10^6/10^4=100

Therefore, by multiplication or division will be 10^6/10^4

Learn more about multiplication here:

https://brainly.com/question/26816519

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i need help plzzzzzzzzz

Answers

Answer:

1 2 5 . 6 9

1 2 5 . 6 7 0

125.69 Would be Greater.

Step-by-step explanation:

First number to the right of the decimal is the tenths place 2nd number would be hundredths and you'd increase etc.

Solve for x
2x+5 = 32

Answers

Answer:

x=13.5

Step-by-step explanation:

Perform the same operation on each side:

2x+5 = 32

2x     = 27

x       = 13.5

So, x is 13.5

can someone help please

Answers

Answer: m<10 less than 10 is the answer so it would be m<10

Step-by-step explanation:

What is the formula for the area of a square?

Answers

Answer:

Area of a square = side times side. Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches. (Square inches can also be written in2.)

Answer:

lxwxtor you can up it in the calculator

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