The amount of milk in a carton is modeled by the equation y = 64 - 4x. The number of ounces of milk left
is represented by y. The number of servings of milk poured from the carton is represented by x.
4.) How many ounces of milk are in an unopened carton?
5.) How many ounces of milk are in each serving?

Answers

Answer 1

Answer:

-Below.

Step-by-step explanation:

4) When the carton is unopened the number of servings x = 0.

So there are 64-4(0) = 64 ounces in an unopened carton.

5) When all the milk has been poured out no. ounces left (y)  = 0 so

64 - 4x = 0

4x = 64

x = 16

So each serving contains 16 ounces of milk.


Related Questions

MATHS QUESTIONS PLEASE SOLVE

1. 121 Divided by 11 is

11

10

19

18





2. 60 Times of 8 Equals to

480

300

250

400





3. Find the Missing Term in Multiples of 6 : 6, 12, 18, 24, _, 36, 42, _ 54, 60.

32, 45

30, 48

24, 40

25, 49





4. What is the Next Prime Number after 7 ?

13

12

14

11





5. The Product of 131 × 0 × 300 × 4

11

0

46

45




6. Solve 3 + 6 × ( 5 + 4) ÷ 3 - 7

11

16

14

15





7. Solve 23 + 3 ÷ 3

24

25

26

27





8. What is 6% Equals to

0.06

0.6

0.006

0.0006





9. How Many Years are there in a Decade?

5 years

10 years

15 years

20 years





10. How Many Months Make a Century?

12

120

1200

12000

Answers

1. 11
2. 480
3. 30, 48
4. 11
5. 0
6. 14
7. 24
8. 0.06
9. 10 years
10. 1200

Hello, would be very nice if someone could help me ! :)

A finite geometric series is the sum of a sequence of numbers. Take the sequence
1, 2, 4, 8, ..., for example. Notice that each number is twice the value of the
previous number. So, a number in the sequence can be represented by the
function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th
number in the sequence is ∑^5 n-1 2^n-1.
This equation can also be written as S5 = 2^0+2^1+ 2^2+ 2^3+ 2^4. If we multiply this equation by 2. the equation becomes 2(S5) = 2^1+ 2^2+ 2^3+ 2^4+ 2^5

What happens if you subtract the two equations and solve for S5? Can you use this information to come up with a way to find any geometric series Sn in the
form ∑^a n-1 b^n-1 ?

Answers

Answer:

Step-by-step explanation:

2S₅ - S₅ = 2⁵ - 2⁰

        S₅ = 2⁵ - 1

Sₙ = (bᵃ - 1) / (b - 1)


If the product of a number and -5 is reduced by 2, the result is 26 less than twice the opposite of the number. What is the
number?

Answers

Answer:

(-5n)-2=26-2n

Step-by-step explanation:

i think -9 1/3

well, let's say that number is "a", so it's opposite will just be "-a".

what's that number times -5?

-5*a => -5a

let's reduce that by 2

-5a -2

what would it be twice the opposite of it?

2(-a)

what is it 26 less than that?

2(-a) - 26.

[tex]-5a-2=2(-a)-26\implies -5a-2=-2a-26\implies -2=3a-26 \\\\\\ 24=3a\implies \cfrac{24}{3}=a\implies \boxed{8=a}[/tex]

Subtract:
(3x^3– 10x^2+ 13x) – (5x^3+ 4x² – 9x)
A. 8x^3 + 14x^2 - 22x
B. 8x^3 - 6x^2 + 4x
C. 2x^3 - 6x^2 - 4x
D. -2x^3 - 14x^2 + 22x

Answers

Answer:

D. -2x^3 - 14x^2 + 22x

Step-by-step explanation:

1) Remove parentheses.

3x³ - 10x² + 13x - 5x³ - 4x² + 9x

2) Collect like terms.

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)

3) Simplify.

-2x³ - 14x² + 22x

What is the slope of the line?

Answers

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]

Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?

Answers

Answer:

0.18 i think

Step-by-step explanation:

The question in the picture​

Answers

Answer:

[tex]3^{30}[/tex]

Step-by-step explanation:

      When you are raising an exponent to another power, you multiply the exponents together:

[tex]3^{30}[/tex]

-> Hopefully this is correct, unfortunately the picture is quite blurry

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


helpp ☹️☹️ plsplspsospsl

Answers

Answer:

BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING

Step-by-step explanation:

9
00
8-
7+
6+
5-
3+
H
-9-8-7-6-5-4-3-2
2 3 4 5 6 7 8 9
-2+
-3+.
-4+
-5+
-6+
-7+
op -

what is the slope of the graph

Answers

Answer:

-5+

Step-by-step explanation:

Slope of the line passing through the points (1, 4) and (3, 2) is -1.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through the points (1, 4) and (3, 2)

Plug in the points in the slope formula.

Slope = 2-4/3-1

=-2/2

=-1

Hence, slope of the line passing through the points (1, 4) and (3, 2) is -1.

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Please help I need the answer quick this assignment is almost due!

Answers

the correct answer is x= -3

Answer:

x = -3

Step-by-step explanation:

The two angles shown are corresponding angles, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.

2x + 9 = 7x + 24

Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.

2x - 7x + 9 = 7x - 7x + 24

-5x + 9 = 24

Then, we'll remove 9 from both sides.

-5x + 9 - 9 = 24 - 9

-5x = 15

Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.

-5x/-5 = 15/-5

x = -3

And there it is... the value of x. Hopefully that's helpful! :)

please help me im giving brainliest

Answers

Step-by-step explanation:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Answer:

49² + 98 + 1 compared to a² + 2ab + b² means that

a = 49

b = 1

as this would be 49² + 2×49×1 + 1² = 49² + 98 + 1

so, we have actuality

(49 + 1)² = 50² = 2500

Step-by-step explanation:

Solve the Inequality for x.
-5x + 20 < 5

A) x > 5

B) x < 3

C) x > 3

D) x < -5

Thanks!!! :D

Answers

Answer:

x>3

Step-by-step explanation:

-5x+20<5

-5x<5-20

-5x<-15

5x>15

x>15/5

x>3

Answer:

A) x > 3

Step-by-step explanation:

[tex]-5x + 20 < 5\\\rule{150}{0.5}\\-5x + 20 - 20 < 5 - 20 \\\\-5x < -15 \\\\\frac{-5x < -15}{-5}\\\\\boxed{x > 3}[/tex]

Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?

Answers

Answer:

Ariana can move 24 boxes. Hope this helps.

Pls give brainliest. :D

guys? can ypu pls help me with this? it's our exam day, thank you very much​

Answers

Answer:

Step-by-step explanation:

last 2 tutor find it wrong pls help me

Answers

Answer:

  g(x) = 4x² -x +64

Step-by-step explanation:

The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.

For some constant c1, the integral in the region x ≤ 4 is ...

  ∫f(x)dx = (4x² -x +c1) +C = g(x) +C

The integral in the region x ≥ 4 is given as ...

  ∫f(x)dx = 31x +C

Evaluated at x=4, we must get the same value from either expression:

  4(4²) -4 +c1 +C = 31(4) +C

  60 +c1 = 124

  c1 = 64

__

In order to make the integral continuous at x=4, we must have ...

  g(x) = 4x² -x +64

What is the value of xif e3x+6 - 8?
O x-
In 8-6
3
OX-
In 6-8
3
OX-
In 8+6
3
OX-
In 6+8
3

Answers

The value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]

Given the exponential function [tex]e^{3x+8}=8[/tex]

Take the natural logarithm of both sides:

[tex]lne^{3x+8}=ln8\\3x +8=ln8[/tex]

Subtract 8 from both sides:

[tex]3x-8+8=ln8-8\\3x=ln8-8[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3} =\frac{ln8-8}{3}\\x= \frac{ln8-8}{3}[/tex]

Hence the value of x from the expression is [tex]\frac{ln8-8}{3}[/tex]

Learn more on exponential functions here: https://brainly.com/question/12940982

In 2004 5,545 woman were participating in college lacrosse and in 2008 6,830 woman joined was is the rate of change

Answers

Answer:

321.25 per year

Step-by-step explanation:

In 2004 they had 5,545

In 2008 they had 6,830

Subtract them both and you get 4 years, 1285 people

Divide 1285 by 4 and get 321.25 per year.

a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers

Answers

Answer:

415 and 29

Step-by-step explanation:

x = 14y+9

xy = 12035

(14y+9)y = 12035

y = -415/14 and 29 but it's a positive integer

so y = 29

x = 14(29)+9

x = 415

#3) They say they have 50 total coins together made up of dimes and quarters. They also say that they have $7.25 total. How many quarters do they have?
A. 10
B.15.
C.20.
D.25​

Answers

Answer:

B: 15 quarters

Step-by-step explanation:

Step 1: Setup Coin Value and Coin Total Equation:

Coin Value Equation → 0.1d + 0.25q = $7.25 where d = dimes and q = quarters

Coin Total Equation → d + q = 50

Step 2: Rearrange Coin Total Equation in terms of dimes (d)

d = 50 - q ← Revised Coin Total Equation

Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:

0.1(50 - q) + 0.25q = $7.25

0.1(50) - 0.1(q) + 0.25q = $7.25

5 - 0.1q + 0.25q = $7.25

5 + (0.25 - 0.1)q = $7.25

5 + 0.15q = $7.25

Step 4: Subtract 5 from each side of the equation to isolate q

5 - 5 + 0.15q = $7.25 - 5

0.15q = 2.25

Step 5: Divide each side of the equation by 0.15 to isolate q

0.15q

0.15

=

2.25

0.15

q = 15

Step 6: Using our value for q, Solve for d using our Coin Total Equation:

d + 15 = 50

Subtracting 15 from both sides, we get d + 15 - 15 = 50 - 15

d = 35

Summarizing our word problem, we see that 15 quarters and 35 dimes adds up to $7.25

When a number is subtracted from -3 2/3 , the result is -2 1/6. What is the number?
A.5 5/6
B. 1 1/2
C. - 1 !/2
D. -5 5/6

Answers

Answer:

D. [tex]-5 \frac{5}{6}[/tex]

Step-by-step explanation:

Add the values:

[tex]-3\frac{2}{3}+\left(-2\right)\frac{1}{6}[/tex]

[tex]=-\frac{11}{3}+\left(-2\right)\frac{1}{6}[/tex]

[tex]=-\frac{11}{3}-\frac{1}{3}[/tex]

[tex]-5 \frac{5}{6}[/tex]

Answer:

C. - 1 ½

Step-by-step explanation:

-3⅔ - x = - 2⅙

x = -3⅔ + 2⅙

x = -11/3 + 13/6

x = -22/6 + 13/6

x = -9/6

x = -1 ½

A new health drink has 190% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamins are in the drink?

Answers

There is 95mg of vitamins in the drink

Percentages and proportion

If a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.

The amount of milligrams of the vitamins in the drink is expressed as shown:

A = 190 % of 50mg

A = 1.9 * 50

A = 95mg

Hence there is 95mg of vitamins in the drink

Learn more on percentages https://brainly.com/question/25793394

Answer:

There is 95mg of vitamins in the drink

The price of a CD decreased from $15 to $10. What is the percent of decrease

Answers

Answer:

Step-by-step explanation:

amount of decrease is $15 - $10 = $5

as a percentage of the original price

100($5/$15) = 33⅓ %

What percent of 38 is 12

Answers

Answer:

31%

Step-by-step explanation:

hope this helps

1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)

Answers

Answer:

D şıkkı iyi dersler hadi

Answer:

C: [tex](2x+5)(4x^2-10x+25)[/tex]

Step-by-step explanation:

First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].

Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]

Or you commit the two formulas to memory.

Solve x2+6x+7=0
A.x=-1 and x=-5.
B. 3+ √2
C.-3+ √2
D. -3+ √2
———-
2

Answers

Answer:

  -3+ √3 or -3- √3

Step-by-step explanation:

The answer would be -3-√2 and -3+√2

find three solutions of 9x - 2y = 18


(i don't know why I can't type this out right the first two times)​

Answers

Look at the paper for solutions.

Answer:

Some solutions of 9x−2y=18 are x=5 =−18 ; x=7 and y=19 ; x=9 and y=0 ; x=11 and y=9 and x=13 and y=18 .

Step-by-step explanation:

AWNSER DOES ANYONE KNOW the wander PLEASE I WILL GIVE BRIANLIEST

Answers

Answer:

C - qd

Step-by-step explanation:

qid means four times a day

tid means three times a day

qd means every other day (answer)

qod also means every other day (but since it's not recommended to use this notation, the answer should be qd)

Answer:

C. qd

Step-by-step explanation:

qd stands for quaque die in latin. translated to english it means every day.

Solve for S
Please help me

Answers

Answer:

s = 19°

Step-by-step explanation:

opposite angles = equal angles

so

106 = 6s - 8

114 = 6s

s = 114 : 6

s = 19°

--------------- check

106 = 6 * 19 - 8

106 = 106

the answer is good

Someone help please

Answers

It is 4pi/7, or b. Just want to help ;)

Find the height of the trapezoid.
7 m
Area = 51 m2
10 m

Answers

The answer is 6

h = 2 A/a+b = 2 51/10+7 = 6
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