Mrs. Eaton sometimes makes her melon salad for special events.



​When she made it a couple months ago, she used 22 kilograms of honeydew melon and 22 kilograms of watermelon, which cost her \$ 4$4.

​Today, she used 11 kilogram of honeydew melon and 22 kilograms of watermelon, spending a total of \$ 3$3 on the melons.



​Assuming that the prices of the melons haven't changed, how much does a kilogram of each type of melon cost?


Answers

Answer 1

Answer:

honeydew: $2.00 per kgwatermelon: $0.50 per kg

Step-by-step explanation:

The cost per kilogram is found by dividing cost by kilograms:

honeydew:

  ($4)/(2 kg) = $2/kg

Honeydew costs $2 per kilogram.

__

watermelon:

Let w represent the cost per kg of watermelon. The total value of the second purchase was ...

  (1 kg honeydew)×($2/kg) +(2 kg watermelon)×(w) = $3

  $2 +2w = $3

  2w = $1 . . . . . . . . . . . . subtract $2

  w = $1/2 = $0.50 . . . . divide by 2

The watermelon cost $0.50 per kilogram.


Related Questions

Mins bought 4 1/2 pounds of cheddar cheese she used 1 1/3 pounds to make sandwiches how much cheese does she have left

Answers

She has 19/6 pounds (aka 3 1/6 pounds) of cheese left.

¿Cual es la diferencia entre ángulos suplementarios y ángulos complementarios?

Answers

Answer:

Los ángulos complementarios son dos ángulos que suman 90 grados, y los ángulos suplementarios son dos ángulos que suman 180 grados.

OR

Complementary angles are two angles that add up to be 90 degrees, and suplementary angles are two angles that add up to be 180 degrees.

Which expression represents the greatest common factor (GCF) of 54 and 153?

Answers

Answer:

9

Step-by-step explanation:

Factors are numbers we can multiply together to get another number.

A common factor is one that is a factor of two (or more) numbers.

The greatest common factor (GCF) is the largest of the common factors.

There are a few ways to find the GCF.  One way is to find all the factors of both numbers, then find the ones that are common to both and choose the greatest:

The factors of 54 are:  1, 2, 3, 6, 9, 18, 27, 54

The factors of 153 are:  1, 3, 9, 17, 51, 153

Therefore, the greatest common factor is 9.

The expression which represents the greatest common factor (GCF) of 54 and 153 is 3×3. Correct option is B.

The greatest common factor (GCF) of two numbers is the largest positive integer that divides both numbers evenly.

To find the GCF of 54 and 153, we need to determine the common prime factors of these two numbers and then multiply those factors together.

The prime factorization of 54:

= 2 × 3 × 3 × 3

= 2 × 3³.

The prime factorization of 153:

= 3 × 3 × 17

= 3² × 17.

The common prime factors of 54 and 153 are two factors of 3, so the GCF is 3 × 3, which can be written as 3².

Hence, 3 × 3 is the expression which represents the greatest common factor (GCF) of 54 and 153. Option B is correct.

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Complete question:

Which expression represents the greatest common factor (GCF) of 54 and 153?

(A) 2×2

(B) 3×3

(C) 2×2×2×3

(D) 2×2×2×3×1

What is the domain of the function on the graph?
5
A. all real numbers
4+
3
B. all real numbers greater than or equal to -2
C. all real numbers greater than or equal to -5
all real numbers greater than or equal to 0
2+
i
1
5 4 3 2 11
1
2.
3
4 5
x
-2
-3
ov
-4

Answers

You can solve it by yourself only as no graphs attached.Steps provided below

First locate the starting pair of co-ordinates on function.

Mark that

.If a. pair be (x,y) x is domain and y is range.Do same and find end points.

Now unite both using interval notation

Can someone figure out how to do this I don't know how.

Answers

Answer:

Step-by-step explanation:

g(x) = -3x - 3

To complete the table, you have to substitute the x values into the equation.

g(-5) = -3(-5) - 3

g(-5) = 15 - 3

g(-5) = 12

g(-3) = -3(-3) - 3

g(-3) = 9 - 3

g(-3) = 6

g(0) = -3(0) - 3

g(0) = 0 - 3

g(0) = -3

g(1) = -3(1) - 3

g(1) = -3 - 3

g(1) = -6

g(3) = -3(3) - 3

g(3) = -9 - 3

g(3) = -12

A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials. What is the relative frequency of selecting a diamond?.

Answers

The relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

What is relative frequency?

The relative frequency of an event is the ratio of total number of favorable or desired outcome to the total number of trails done.

Given information-

The card is selected random from the deck of cards.

Total number of trails is 40.

It is known that the total number of diamond card in a standard deck of card is 11. There is total 40 trials is done in which a random card is selected.

As the relative frequency is the ratio of total number of diamonds to the total number of trials done. Thus,

[tex]f_r=\dfrac{11}{40}\\f_r=0.3[/tex]

In the percentage from,

[tex]f_r={0.3}\times100\\f_r=30[/tex]

Thus the relative frequency of selecting a diamond from 40 trials of selecting a random card is 30%.

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Answer:

20%

Step-by-step explanation: I took the test

if -2a > 6 then a < -3 true or false

Answers

Answer:

True

Step-by-step explanation:

To solve it you divide both sides by -2, which flips the inequality sign around.

12 percent of 9 or 9 percent of 12 should get the same answer

Answers

Yes that’s correct, they both are 1.08

Solve.

y = –4x + 10
y = –3x + 5

Answers

Answer:

(5, -10)

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y=-4x+10&\\y=-3x+5\end{cases}[/tex]

Substitute the first equation into the second:

[tex]\implies -3x+5=-4x+10[/tex]

SOLVING FOR X.

Step 1: Add 4x to both sides.

[tex]\\\implies-3x+4x+5=-4x+4x+10\\\\\implies x+5=10[/tex]

Step 2: Subtract 5 from both sides.

[tex]\\\implies x+5-5=10-5\\\\\implies \boxed{x=5}[/tex]

SOLVING FOR Y.

Step 1: Substitute [tex]x=5[/tex] into any of the given equations.

[tex]\\\implies y=-4(5)+10[/tex]

Step 2: Simplify.

[tex]\\\implies y=-20+10\\\\\implies \boxed{y=-10}[/tex]

The solution to the system of equations is (5, -10).

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

11.6cm

Step-by-step explanation:

a^2+b^2=c^2

11^2+b^2=16^2

121+b^2=256

b^2=135

b=11.6

Evaluate for M = 10, N = -5, and P = -2 .

Answers

Answer:

10/-5 =2/-1 = -2

Step-by-step explanation:

If this does not help, just ignore it honestly.

31/9 as a decimal. That is all I need

Answers

the answer is: 31/9=3.4444≈3.4

Is this a proportion? show your work is please!

8/24 = 21/63

Answers

Answer:

1/3

Step-by-step explanation:

yes, this is a proportion ie 8 is equal to 21 then 24 is 24 ×21 ÷8 = 63.

what is 3 times 34 divided by 2 plus 8 times 5

Answers

think it’s 91 because i used PEMDAS
multiplied 3x34=102 divided by 2 is 51 plus 40 because 8x5 is 91

Answer: 91

Step-by-step explanation: 3 times 34 is equal to 102... let us work out the problem together.


3 x 34 = 102


now we must divided 102 by 2 which will equal 51

Now the final step is to do 8 times 5

8 times 5 = 40


51 plus 40 = 91


this is the correct way to do the equation.


so our final answer is 91

1) If 13cos theta =5 then tan theta =?​

Answers

Answer:

here sin theta = 5/13, and cos theta = 12/13

Step-by-step explanation:

so here tan theta = 5/12 [ as given ] tan=opposite/adjacent  so sin=opposite/hypo and cos = adjacent/hypo

Brainliest?!

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 0, 3, 4, 3, 0. Evaluate the function for an input of 0.

Answers

The function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,

[tex]f(0)=|0^2-4|\\[/tex]

How to read the data from the table?

Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.

The linear or quadratic function, can be model with the data table.

Linear model-The the highest power of unknown variable in linear model is 1. To construct the linear model with the values given in the table, the slope of the two lines should be equal.Quadratic model-The the highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of the quadratic equation must satisfy for all the of the data table.

The 2-column table with 5 rows is given with the following data.

The first column is labeled x with entries               -2,  -1,  0,  1,  2.

The second column is labeled [tex]f(x)[/tex] with entries     0,   3,  4,  3,  0.

The function for the above table is,

[tex]f(x)=|x^2-4|[/tex]

For an input of 0.

[tex]f(0)=|0^2-4|\\[/tex]

Thus, the function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,

[tex]f(0)=|0^2-4|\\[/tex]

Learn more about the data table here;

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Answer:

The answer is 4

Step-by-step explanation:

Says so on edge

Combine the like terms to create an equivalent expression:
−3k−(−8)+2

What's the answer?

Answers

Answer:

-3k+10

Step-by-step explanation:

=> −3k−(−8)+2

=> -3k +8+2

=> -3k+10

You deposit $2,500 in an investment


account. The rate of growth is 4.55% a year.


If you make no further deposits or


withdrawals, and the investment is allowed


to grow uninhibited, how long will it take for


your investment to reach $5,000? Round to


the nearest tenth.

Answers

Answer:

22 years

Step-by-step explanation:

the rate of the increase is $113.75 a year.

4.55% of 2500 = 113.75113.75 x 21.98 = 2500.2252500.225 + 2500 = 5000

So it would take if rounded 22 years to reach the goal of $5000.

Answer: The correct answer is "15.2 years"

Step-by-step explanation:

I took the test

If y(x) = 2x2 +3 and V(X)=
-
Z
what is the range of (us)x)?
(
-100
O (3.co
0 --3,3)
0 (-03,400

Answers

The range of the problem is three

diamond is playing a game in the game she has to spin a spinner that is divided into equal sections of orange, red, purple, and pink what is the probability that on her first spin she will land on pink and then red on her second spin?

Answers

Answer:

1 out 4

Step-by-step explanation:

Sean and his sister, Betty, mow 8/9 of the total area of their lawn. If they divide the chore equally, what fraction of the total area does Sean mow?.

Answers

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

There are two of them, so we will divide the lawn area mowed by 2.

[tex]\frac{8}{9}/\frac{2}{1}= \frac{8}{9}*\frac{1}{2}=\frac{8*1}{9*2} =\frac{8}{18} =\frac{4}{9}[/tex]

-> This also can be simplified with seeing that 8 / 2 = 4, so [tex]\frac{4}{9}[/tex], but I wanted to show the whole mathematical process.

The cost of a sweatshirt is 175% the cost of a T-shirt. A T-shirt costs $13.
What is the cost of 3 sweatshirts?
Enter your answer in the box.

Answers

Answer:A standard blank t shirt will usually start at around $1 each and go up to $4. These are going to be cotton, good quality shirts. The price difference will vary on manufacturer, brand, color and cut. So a plain white t shirt might only be $1, where the same shirt in navy blue might be $2.

Step-by-step explanation:

If you want a profit of 50% off the retail price, the calculation is straightforward. Let's say the production cost of your t-shirt amount to ₹300. When you multiply it by two, you get ₹600. And that would be the retail price of each t-shirt piece

So that would mean every sweatshirt would cost 22.75 so is it = 68.25
By the way don’t go by my answer I’m confused but at least I give it a try

The product of 8 and the difference of n and 3

Answers

8n-24 that would be the answer

Will name BRAINLEST!!

Determine the area of the given triangle.

Answers

Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

9.17% to the nearest degree​

Answers

Answer:

33°

Step-by-step explanation:

9.17% = 9.17/100

[tex]\dfrac{9.17}{100}*360=0.917*36=33.012[/tex]

= 33°

Answer:

33

Step-by-step explanation:

9.17÷100=0.0917/0.917

0.917×36=33.012


What can you tell about a triangle when given three side lengths?

Answers

Check whether it is possible to have a triangle with the given side lengths for example 7,9,13 then add any two sides and see if it is greater than the other side. Example the sum of 7 and 9 is 16 and 16 is greater than 13

What is the percent of change from 5 to 8?

Answers

Answer:

60%

Step-by-step explanation:

5-8/5 * 100%= 60%

The percentage change from 5 to 8 is given by A = 60 %

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage change be represented as A

Now , the equation will be

Let the first number be p = 5

Let the second number be q = 8

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

On simplifying the equation , we get

Percentage change A = [ ( 8 - 5 ) / 5 ] x 100

Percentage change A = ( 3/5 ) x 100

Percentage change A = 60 %

Hence , the percentage change is 60 %

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A business assistant must leave more than $50 in the supply account. There is $200 in the account. The assistant needs to order x boxes of pens that cost $10. 50 each. What is the maximum number of boxes of pens the business assistant can buy? 10 boxes 14 boxes 15 boxes 23 boxes.

Answers

Answer:

14 Boxes Of Pens

Step-by-step explanation:

Hope This Helps :)

Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9. Enter your answers below. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).



Solution
Step 1: Find the slope of the line 2x−3y=9. Use a forward slash (i.e. "/") for all fractions (e.g. 1/2 for 12).

m= Answer

What would the parallel slope be?

m= Answer



Step 2: Use the slope to find the y-intercept of the parallel line.

b= Answer



Step 3: Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9

y=________ x ___________

Answers

Line given

2x-3y=93y=2x-9y=2/3x-3

Comapre to y=mx+b

Slope=m=2/3

Parallel lines have equal slope

passes through (4,-1)

Equation in point slope form

y+1=2/3(x-4)3y+3=2x-82x-3y-11=0

Fantasy has 180 oranges. She decides to give her grandma 100 oranges. How many oranges will Fantasy have left?

Answers

Answer:

80

Step-by-step explanation:

Because, when you subtract 180 to 100 and you get 80

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