Mel Ting sells half-gallons of frozen yogurt for $5 each and gallons for $9 each. One day Mel sells a total of 40 containers of yogurt, for a total of $248. How many of each kind of container did Mel sell?

Answers

Answer 1

Answer:

Number of half-gallons containers of frozen yogurt = 28

Number of containers containing 1 gallon of frozen yogurt = 12

Step-by-step explanation:

Let [tex]x[/tex] denotes number of half-gallons containers of frozen yogurt and [tex]y[/tex] denotes number of containers containing 1 gallon of frozen yogurt.

[tex]x+y=40\,\,\,...(i)\\5x+9y=248\,\,\,...(ii)[/tex]

Multiply (i) by 5

[tex]5x+5y=200\,\,\,...(iii)[/tex]

Subtract (iii) from (ii)

[tex](5x+9y)-(5x+5y)=248-200\\5x+9y-5x-5y=48\\4y=48[/tex]

[tex]y=\frac{48}{4}=12[/tex]

Put [tex]y=12[/tex] in (i)

[tex]x+12=40\\x=40-12\\x=28[/tex]


Related Questions

help how would you do this?
-3x + 16 =1​

Answers

Answer:

Answer: x=5

Step-by-step explanation:

-3x + 16 = 1

-16. -16

-3x = 15

÷-3. ÷-3

x = 5

4x^2-36 correct factorization

Answers

Answer:

4 (x + 3) (x - 3)

Step-by-step explanation:

ill give braniliest
the 1st term in a sequence is 50 the term to term rule is subtract 10 what is the 4th term

Answers

Answer:

The fourth term is 20

Step-by-step explanation:

first term =50

term rule = n-10

if first term is 50

second term =50-10=40

third term =40-10=30

fourth term =30-10=20

Answer: I would answer but the person who answered has the correct answer

Step-by-step explanation:

Imma go help someone who needs help with math ;)

find the slope on the line ​

Answers

Answer:

slope is -3

Step-by-step explanation:

change in y over change in x is -3/1

-3. For slope you pick two points and do rise over run.

HELP PLEASE HURRY... 65 POINTS

Answers

Answer:

A

Step-by-step explanation: The slope is positive, the y intercept is on the y axis.

The students in the After-School Club ate 12 grapes per minute. After 9 minutes, there were 32 grapes remaining. The table shows the number of carrots remaining after different amounts of time. Which snack did the students eat at a faster rate? Explain.​

Answers

Answer:

Grapes

Step-by-step explanation:

The rate of change for the grapes was -12 grapes per minute.

To calculate the rate of change for the carrots, use the slope formula [tex]m = \frac{y_{1}-y_{2} }{x_{1}-x_{2} }[/tex]. In this case, m is the rate of change, time is x, and the carrots remaining is y.

[tex]m = \frac{118-136}{8-6} = \frac{-18}{2} = -9[/tex]

The decrease in grapes was much greater than the decrease in carrots, so therfore the students ate the grapes at a faster rate.

If the table shows the number of carrots remaining after different amounts of time. The students eat grapes at a faster rate.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that, the students in the After-School Club ate 12 grapes per minute. After 9 minutes, there were 32 grapes remaining.

Grapes were changing at a pace of -12 grapes per minute. Use the slope formula to get the rate of change for the carrots.

m=118-136/8-6

m=-18/2

m=-9

The students consumed the grapes more quickly because the decline in grapes was significantly larger than the decline in carrots.

Thus, the table shows the number of carrots remaining after different amounts of time. The students eat grapes at a faster rate.

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ5

Jose rents a bike for $4 plus $2.50 per hour. ELaine rents a moped for $10 plus $1 per hour write and solve the system of equation to determine at what point they spend the same amount

I need an answer quick

Answers

Answer:

Jose: Y= 2.50x +4

Elaine Y= 1x +10

same at 4

Step-by-step explanation:

the quotient of four and e

Answers

Answer:

1.4 i think

Step-by-step explanation:

at which week will keith and greg have downloaded the same number of songs?

Answers

Answer:

Week 15

Step-by-step explanation:

Find the equations to the sequences and solve as equation

5n+20 = 2n+50

5n= 2n +30

3n=30

n=15

25+8x=5+12x whats the answer?

Answers

Answer:

x = 5 (see below)

Step-by-step explanation:

Combine like terms by subtracting on both sides:

25 + 8x = 5 + 12x

20 = 4x

Then divide:

20 = 4x

5 = x

Move the variable to the left side of the equation:

x = 5

The answer would be x=5
Hopefully this helps

Which is the larger fraction ?
2/13, 1/13 or 5/13*


plsssss answer i will mark as brilliant

Answers

Answer:

To get the reciprocal of a fraction, just turn it upside down. Like this: 3. 4. A Fraction ... Convert it to an improper fraction: 213 = 6 3 + 1 3 = 7 3 2.

Step-by-step explanation:

2/13 if im correct

Step-by-step explanation:

2/13 < 1/13 < 5/13

Clare bought a photo for 17 cents and paid with a $5 bill.

Which way of writing the numbers could Clare use to find the change she should receive? Hundreds place, tenths place, or ones place?


5 5 5
-0.17 -0.17 -0.17

Answers

Answer:

hundredths place

Step-by-step explanation:

because after the decimal it starts in tenth place and you want enough room to make it -0.17

Answer:

Step-by-step explanation:

b b

HELP ME CHEAT

A small pouch contains 8 black marbles, 5 white marbles, and 12 red marbles.


Find the probability of picking a red then a black marble if you do not replace the first marble.



0.16



0.32



0.3



0.5

Answers

The answer would be 0.3

PLS HELPPPP GRADES DUE!

Answers

Answer:

Step-by-step explanation:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2

Answer:

Yea wut she said ._. above me...

Step-by-step explanation:

Ava bought a pair of shorts online for $47. She used a coupon code to get a 40% discount. The website also applied a 10% processing fee to the price after the discount. How much was the discount, in dollars and cents?

Answers

31 dollars 2 cents nnnnn

What is the best estimate for 8.3 x 4.9?

Answers

Answer:

40.67

Step-by-step explanation:

I calculated it

what is 32$ and a 16% markup? what’s the price being sold at

Answers

Answer $37.12

Step-by-step explanation:

32 * 16% = 5.12

5.12+32= 37.12

Mr. Gardner is making 6 treat bags. He has 185 chocolate-covered raisins to share evenly among the treat bags.
How many chocolate-covered raisins will be in each treat bag?
How many chocolate-covered raisins will be left over?

Answers

Answer:

30 chocolate covered rasins

5 left over

Step-by-step explanation:

Step 1: 185 Divided by 6 and that gets you 30, and some left over.

Step 2: Do 6 x 30 and that gets 180

Step 3: Do 185 subtract 180 and then you get 5

Step 4: So 30 chocolate coverd raisins will go in each bag, and 5 will be left over.

Have a great day, Lord Bless :)

please be kind enough to help me with this question in my geometry test thank you i’m very grateful

Answers

Answer:

yes

Step-by-step explanation:

The sum of two numbers is 18. The difference between the two numbers
is 12. What is the two numbers?

Answers

the answer is 6 and 6

What is the equation of a line that passes through (-2, 1) and has a slope of -5/2 ?

Answers

Answer:

y=-5/2x-4

Step-by-step explanation:

y-y1=m(x-x1)

y-1=-5/2(x-(-2))

y-1=-5/2(x+2)

y=-5/2(x+2)+1

y=-5/2x-10/2+1

y=-5/2x-5+1

y=-5/2x-4

What is the area of the face marked f

Answers

Answer:

12cm ...........

........

Bill rented a truck for one day. There was a base fee of $16.99, and there was an additional charge of 92 cents for each mile driven. Bill had to pay $185.35 when he returned the truck. For how many miles did he drive the truck? miles

Answers

Answer:

He paid $18 of which $15.95 was

the flat fee.

 18.00

- 15.95

---------

$2.05 is the amount paid for mileage.

 

This is 205 cents for mileage

at 71 cents per mile.  Divide

205 by 71 to get the miles driven.

 

205/71 = 2.9 miles.

Step-by-step explanation:

Some systems of inequalities can have no solution.

Answers

Answer:

Yes, that is true.

Step-by-step explanation:

The bounded regions of the two inequalities do not overlap, so there is no solution set. However, the existence of parallel lines does not necessarily indicate that there is no solution, it just means that there is the possibility of no solutions.

Write six less than x as an algebraic expression.

Answers

Answer:

y = x-6

Step-by-step explanation:

6 les s than means -6 so do that. Keep up the great work!

Answer:

x-6

Step-by-step explanation: six less than x means take six away from x

Help on the question I don’t understand it ?

Answers

Answer:

You have to first find a ratio. Then, draw a double number line representing the ratio. Finally, you must write a sentence describing the situation. Also use the word per in the sentence.

HOPE THIS HELPED AND SO SORRY IF IT DOESN'T


To go to the park, It costs $4 plus $3 per child. Which equation shows this situation
where x represents the number of children

Answers

Answer:

y = 3x + 4

Step-by-step explanation:

Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.

What is the missing number?
URGENT PLS HELPP

Answers

Answer:

1723

Step-by-step explanation:

answer my last question plz

Please help asap!!!!!!!! Number 2 and 3

Answers

Answer:

Step-by-step explanation:

2)  r = 16/2 = 8 cm

Area of top and bottom = 2*πr²

                                        = 2 * 3.14 * 8 * 8

                                       = 401.92 cm²

Midlle part = h * πd

                 = 6 * 3.14 * 16

                = 301.44 cm²

Total = 401.92 + 301.44

        =        703.36 cm²

3) Area of front and back = [tex]2* \frac{1}{2}*b * h\\[/tex]

                                         [tex]= 2*\frac{1}{2} * 3 * 4\\\\= 12 cm^{2}[/tex]

Area of bottom = length * breadth

                           = 12* 3

                          = 36 cm²

Area of left =  12 * 4

                  = 48 cm²

Area of right = 12 * 5 = 60 cm²

Total = 12 + 36 + 48 + 60 = 156cm²

Write an expression for "the difference of 10 and x."
Help will give branily

Answers

Answer:

10-x

Step-by-step explanation:

The difference of 10 and x is subtracting x from 10

Other Questions
PromptTortillas Read through the following paragraph about tortillas. Although it is in Spanish, try to get the main idea of the paragraph. For clarification, feel free to read the English translation that follows the Spanish paragraph. Finally, answer the questions in English using as much Spanish as you can.Las tortillas de maz son consideradas una de las comidas principales de Mxico y los pases de Centro Amrica. Se hacen combinando harina de maz, agua, aceite y sal para hacer la masa. De ah, la masa es aplanada y se le da forma a mano o usando una tortillera de tortillas. La masa de las tortillas es cocida despus en un comal (disco de barro o de metal) o a la plancha. Se comen tpicamente en cada comida.English translationCorn tortillas are considered one of the main staple foods of Mexico and many Central American countries. They are made by combining corn flour, water, oil, and salt to make the dough. From there, the dough is either flattened and shaped by hand or by using a tortilla press. The dough tortillas are then cooked on a comal (cooking plate made out of earthenware or metal) or on a griddle. They are typically eaten at every meal. Have you ever eaten corn tortillas? If so, did you like them? What did you eat them with? If not, do you think you would like to try some? Do you know of other types of tortillas? What kinds? Do you have a special food that is eaten commonly in your country or culture? What is it? I have been in doubt a lot, so please help me with this question:What to do when in doubt? 5(3x - 7 + 4y)*+Your answer Evaluate if x=1/22x+8+12xWhats the answer Plssssssss answer thissssss! What is the value of s?units A car is travelling to the right with a speed of 40 m/s when the driver slams on the brakes. The car skids for 4 s with constant acceleration before it comes to a stop. What was the rate of the car's acceleration as it skidded to a stop? the question is in the photo :) 45 is ________% of 300 WILL VOTE BEST & GIVE 20 POINTS When completing your laboratory experiment, you placed 25.00 g of copper in thegraduated cylinder. Then you noticed the water level mark was filled to 50.0 ml. The totalmass of all the components is 58.80g. Know that the density of water is 1.0 g/ml, calculatethe density of this iron sample. Show all work. What was the biggest change on the U.S. home front during WWII? what can be concluded from the graph How did Franklin's X-ray photograph affect the work of watsonand crick? Value of x? I need this very quickly.ASAP. Jasmine wants to earn $2,000 in simple interest through abank account earning 5% annually. How much principalwould she need to invest in the account to meet her interestgoal in 4 years? 100 POINTS!!!!! YES,!!!!!!!! I SAID !!!!!!!100 POINTS!!!!!!!! FIRST TO ANSWER IT CORRECTLY AND ILL GIVE BRAINLY (LOOK IN THE TWO PICS TO FIND AND THE CORRECT ANSWERS)!!!!!!!! need help ty Ill give brainliest Select the correct answer.Read the following excerpt from the Declaration of Independence.We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.That to secure these rights, Governments are instituted among Men, deriving their just powers from the consent of the governed,That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or to abolish it, and to institute new Government, laying its foundation on such principles and organizing its powers in such form, as to them shall seem most likely to effect their Safety and Happiness.Based on the excerpt, what was a major factor that led the colonists to rebel against the British government?A. The government had failed to protect the colonists basic rights.B. The government was exploiting the colonies natural resources.C. The government used colonial money to benefit the monarch.D. The government imposed unjust tax rates on rebelling colonists. HOW CAN YOU FOCUS ON LIFE WITHOUT ANY DISTRACTIONS What does the pronoun "they" refer to in the passage?A. BenB. HeC. StarsD. gloves plz help I will give brainly to the correct answer