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

What are 5 values between -6 and -7?

Please help me!! I WILL give brainliest!!

Answers

Answer:

-6.1,-6.2,-6.3,-6.4-6.5

Step-by-step explanation:

Trust

Answer:

-6.2, -6.3, -6.4, -6.5, -6.6

ASAP WHO EVER ANSWER THESE WILL BE MARKED BRANLIEST

Answers

Answer:

i dont know honestly

Step-by-step explanation:

What is the mean?
{5, 6, 12, 7, 8 10 ,8}

Answers

8, I hope this helps

Qual o raio de uma superfície esférica com 40 cm2 de área, em cm, aproximada às centésimas? Responde à seguinte questão, escrevendo apenas o valor numérico em algarismos

Answers

Responder:

1,78 cm

Explicación paso a paso:

El área de superficie total de la superficie esférica se expresa como;

T = 4πr² donde

r es el radio

Dado

TSA = 40 cm²

Sustituir

40 = 4πr²

r² = 40 / 4π

r² = 10 / π

r² = 10 / 3,14

r² = 3,185

r = √3,185

r = 1,78

por lo tanto, el radio de la esfera a la centésima más cercana es 1,78 cm

375 x228 step by step How to solve

Answers

The answer is 85,500

What is the approximate circumference of a circle with a radius of 12 ft? Use 3.14
for TT.
A. 3.82 ft
B. 7.64 ft
C. 37.68 ft
D. 75.36 ft.

PLEASE I NEED HELP

Answers

answer:

D 75.36

explanation:

i did 3.14x12x2

i hope i am right

Answer:

D. 75.36 ft

Step-by-step explanation:

The formula for circumference is C=2TTr.  3.14x12=37.68  37.68x2=75.36

18=3(3x-6)
4x+6+3=17

Answers

Answer:

3(3x -6)=9x-18

4x +6+3=4x +9

what is the value of 7 in the number 8975

Answers

Answer:

70?

Step-by-step explanation:

8975
^ 7 is on tens

The ratio of two supplimentary angles is 4:1. Find the measures of both angles.​

Answers

Answer:

The Measures of both angles are 144° and 36°

Step-by-step explanation:

1. Which of the following is NOT a true statement?
a) A quadrilateral with 2 pairs of parallel sides is a parallelogram.
b) Every rhombus has 2 pairs of parallel sides.
c) Every quadrilateral with 4 right angles is both a rectangle & rhombus.
d) Every rectangle is also a parallelogram

Answers

Answer:B

Step-by-step explanation: not cause you have trapeziums not c cause you have squares not d cause it just aint

Answer:They are all true statements

Step-by-step explanation:

PLEASE ANSWER!! is it a, b, c or d!?

Answers

Answer:

C.

Step-by-step explanation:

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of bCarry on learning

is this right!? HELP ASAP!!! WILL GIVE BRAINLIEST make sure ypur answer is correct!!​

Answers

yes your answer is correct

You and three friends go out to eat and decide to split the bill evenly. The food you order comes to a total of $48. If you leave a 15% tip and pay 6.25% sales tax, how much should you each pay?

Answers

Answer:

11.64

Step-by-step explanation:

100%-> 48

15%-> 7.20

6.25%-> 3

48+7.20+3=58.20

58.20÷5=11.64

Can someone please help?

Answers

the diameter is 12; since 6 is the radius, add 6 again to get the diameter

Answer:

the anser is 24

Step-by-step explanation:

half of the width is 6cm so the full width of the circle is 12cm and you just multiply the width by 2. thats how you find the diameter of a circle.

What is the slope of the line?

Answers

4:3 because x is 4 and 3 is y

Answer:

3/4

Step-by-step explanation:

the numerator of slope (in this case 3) is always y because y rises. in this case, in order to get to the other plot you need to rise three times then run 4. "run" is how many it takes to get to the plot but in the x direction. for example in this case it took 3 rise and 4 run.

please help me! (slopes) (brainliest)

Answers

Y=65x+5, i think but I don’t know for sure

Charles purchases a car for $50,187 at 1.9% add-on rate for 6 years.

Answers

Answer:

good for him

Step-by-step explanation:

help will be greatly appreciated!!! Write the system of equations for these two lines.

Answers

Answer:

See answer below:

Step-by-step explanation:

Blue: y=2x+1

Red: y=3x-2

Reflect the figure over the line x =
= 3
Plot all of the points of the reflected figure.
You may click a plotted point to delete it.

Answers

Answer: Just re dot the points like mirror it on where ever on the graph  Step-by-step explanation:

I belive that's how it's done

HELP ME JIM! Math HW

Answers

Problem 7

Answers:

dots A = 2dots B = 5

-----------------------

Explanation:

In step 1, there are 2 dots. So that number (2) fills in the blank for dots A.

Step 2 has 5 dots, which fills in the blank for dots B.

===========================================================

Problem 8

Answer: A) Quadratic

-----------------------

Explanation:

We have this sequence of dots: {1, 2, 5, 10, ...}

Note the increments of +1, +3, +5, ...

The increments aren't the same, so we don't have a linear sequence. But because the increment amounts go up by 2 each time, this strongly implies a quadratic sequence.

The rule for this sequence is n^2 + 1. Whatever the step number (n) is, we square it and add 1 onto that result. For instance, for step 3, we have n = 3 that leads to n^2 + 1 = 3^2 + 1 = 9 + 1 = 10. Also, note how the lone dot on the left of step 3 is tacked onto the 3 by 3 square of dots.

===========================================================

Problem 9

Answers:

dots A = 3dots B = 9

-----------------------

Explanation:

Same idea as problem 7

===========================================================

Problem 10

Answer: B) Exponential

-----------------------

Explanation:

The sequence is {1, 3, 9, 27, ...}

In step 3 we have 3 rows and 9 columns of dots to give 3*9 = 27 dots total here.

The sequence is growing by a factor of 3 each time. In other words, we are tripling the terms or multiplying each term by 3 to get the next term.

Therefore, we have an exponential pattern.

The rule is 3^n

Eg: if we're on step n = 2, then we have 3^n = 3^2 = 9 dots.

5x-14=8x+4 and 7x-4=3+8x with the work

Answers

Answer:

Step-by-step explanation:

5x-14=8x+4

-5x. +14    -5x. +14

3x=18

x=6

7x-4=3+8x

-7x. -3   -7x -3

x=-7

hope this helps for second equation

Jameson is taking a multiple-choice test and he doesn't know an answer. He can answer A, B, C, D or E. What is the probability that he will guess correctly?

Answers

The probability that he will guess correctly is:

1/5

You deposit 600$ in a savings account.the account earns 10% simple interest per year
A. What is the interest after 10 years?


B.what is the balance after 10 years

Answers

Answer:

A) $600

B) $1200

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 600 × 0.1 × 10 = 600

I = $ 600.00

The simple interest accumulated

on a principal of $ 600.00

at a rate of 10% per year

for 10 years is $ 600.00.

HELOPPPPPPPP ILL MARK YOU BRAINLIST

Answers

Answer:

im stuck on that too I NEED HELP TOO :((

Step-by-step explanation:

saddddddddddddddddddddd

a packet contains blue and yellow flower seeds in thwle ratio 3:4. there are 32 floweer seeds​

Answers

Note: We need to find the number of seeds of each color.

Given:

A packet contains blue and yellow flower seeds in the ratio 3:4.

There are 32 flower seeds​.

To find:

The number of blue and yellow flower seeds.

Solution:

Let the number of blue and yellow flower seeds are 3x and 4x respectively.

There are 32 flower seeds​.

[tex]3x+4x=32[/tex]

[tex]7x=32[/tex]

[tex]x=\dfrac{32}{7}[/tex]

[tex]x\approx 4.57[/tex]

Now,

The number of blue flower seeds is

[tex]3(4.57)=13.71\approx 14[/tex]

The number of yellow flower seeds is

[tex]4(4.57)=18.28\approx 18[/tex]

We approx. the value rounded to the nearest integer because the number of flower seeds cannot be a decimal of fractional value.

Therefore, the number of blue seeds is 14 and the number of yellow seeds is 18.

Solve the system of equations by substitution. Show all work neatly on your work page. Checking your answer is wise.

3x + 2y = 7

y = -3x +11

Answers

Answer:

15

Step-by-step explanation:

3x + 2y = 7

y = -3x +11

Mrs. Barkley is making a snack mix out of different flavors of pretzels and chips. The weight of each snack package she used to make the mix is shown on the line plot below. What is the total weight, in ounces, of the snack mix?

Answers

Answer:

20 ounces

Step-by-step explanation:

The line plot is attached below.

From the line plot, we can see that there is a total of 7 snack mix. Two of the snack mix weigh 1 and half (1.5) ounces each, one snack measure 2 and three quarter (2.75) ounce, three snack mix measure three and half (3.5) ounce each and one snack measure 3 and three quarter (3.75) ounce. Therefore the total weight of the snack mix is:

Total weight = (2 * 1.5) + (1 * 2.75) + (3 * 3.5) + (1 * 3.75)

Total weight = 20 ounces

Hewo Please Help THX!!! :)

Answers

Answer:

$30

Step-by-step explanation:

x =4(3.45)+1.5(3.98)+2(4.35)+1.53

=13.8+5.97+8.7+1.53

=30

5x + 4 = -6
please step by step explanation

Answers

Answer:

x=-2

Step-by-step explanation:

5x+4=-6 so basically what you want to do is try to get x by itself

step 1 subtract 4 from each side

5x=-10

step 2 divide each side by 5

x=-2

5x + 4 = -6
-4 -4
5x = -10
— —
5 5
x = -2

what 1x0 i now it is 0

Answers

Answer:

haha yes it's 0 good job!

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Yes you are right.

also it's "know" not "now".

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