31. One serving of party drink is comprised of 3oz of syrup, 4oz of water, and 3oz of apple juice. If a large bowl of the drink contains 237oz of apple juice, how much of the total drink is in the bowl

Answers

Answer 1

Answer:

790 oz

Step-by-step explanation:

Ratio:

3oz syrup : 4oz water : 3oz apple juice: 1 serving: 10oz total mixture

We know there is 10oz total mixture because 3oz of syrup + 4oz of water + 3oz of apple juice = 10oz total mixture

We want to find

237oz apple juice: ?oz total mixture

To do this, we can multiply the ratio

3oz apple juice: 10oz total mixture by 237/3, because 237/3 * 3 = 237, getting us to 237oz apple juice on one side and maintaining the ratio so that we can find the total mixture amount, so we have

237oz apple juice: 10*237/3 oz total mixture = 10*79 = 790 oz


Related Questions

What is the domain of the function?
Enter your answer in the box.
demos.

Answers

Answer: the x or the input of a function

Step-by-step explanation:

The x is domain of the function

Draw a diagram of the archway modeled by the equation y = x^2 + 5x + 24. Fine and label the y-intercept and the x-intercepts on the sketch. Then find and label the width of the archway at its base and the height of the archway at its highest point, assuming the base of the archway is along the x-axis ​

Answers

Answer:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

1) Please find the attached drawing of the archway created with MS Excel

2) The y-intercept is (0, 24)

The x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base is 11

The height of the archway at its highest point = 30.25

Step-by-step explanation:

The given function representing the archway is y = -x² + 5·x + 24

1) Please find attached the required drawing of the archway created with MS Excel

2) The y-intercept is given by the point where x = 0

Therefore, we have, the y-value at the y-intercept = -0² + 5×0 + 24 = 24

The y-intercept = (0, 24)

The x-intercept is given by the point where y = 0

Therefore, the x-values at the x-intercept are found using the following equation;

0 = -x² + 5·x + 24

x² - 5·x - 24 = 0

By inspection, we have;

x² - 8·x + 3·x - 24 = 0

x·(x - 8) + 3·(x - 8) = 0

∴ (x + 3) × (x - 8) = 0

Either (x + 3) = 0, and x = -3, or (x - 8) = 0, and x = 8

Therefore, the x-intercepts are (-3, 0), and (8, 0)

3) The width of the archway at its base = The distance between the x-values at the two x-intercepts

∴ The width of the archway at its base = 8 - (-3) = 11

The highest point of the arch is given by the vertex of the parabola, y = a·x² + b·x + c, which has the x-value of the vertex = -b/(2·a)

∴ The x-value of the vertex of the given parabola, y = -x² + 5·x + 24, is x = -5/(2×(-1)) = 2.5

Therefore;

The y-value of the vertex, is y = -(2.5)² + 5×2.5 + 24 = 30.25 = The height of the archway at its highest point

∴ The height of the archway at its highest point = 30.25

The vertex of the parabola is at (-2.5, 17.75). And the y-intercept of the parabola is at (0, 24).

What is the equation of the parabola?

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation of the parabola is given as,

y = x² + 5x + 24

Convert the equation into a vertex form, then we have

y = x² + 5x + 25/4 - 25/4 + 24

y = (x + 5/2)² + 71/4

y = (x + 2.5)² + 17.75

The vertex of the parabola is at (-2.5, 17.75). The y-intercept of the parabola is given as,

y = (0)² + 5(0) + 24

y = 24

The y-intercept of the parabola is at (0, 24).

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ2

Write an equation for the graph.

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

3 is the slope

2 is the y-intercept

Please help me no links or bots please and thank you please actually help me with this please

Answers

Answer:

[tex]y=-1 \frac{2}{3}x+5[/tex]  

Step-by-step explanation:

y=mx+b is slope-intercept form

m= slope

b= y-intercept (where the line on the graph touches the y=axis aka the line that goes vertically or up and down).

The photo you have attached is very blurry but i will do my best to read the numbers on the graph.

the y-intercept looks to be at 5

so we plug that in

y=mx+5

now let's get the slope.

pick two points you can easily see,

slope is change in y over the change in x --- which is simplified below

rise over run

y2-y1 divided by x2-x1

we can see the point (0,5) and the point (3,0)

(3,0) is going to be the x2 and y2 and the other point is the x and y 1s

0-5= -5

3-0= 3

-5/3

let's simplify that

we know three goes into five once, so that gives us one whole but it's still negative because our slope is negative.

-1 2/3

that is our slope

let's plug it in:

[tex]y=-1 \frac{2}{3}x+5[/tex]

that is our answer!

PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.

Answers

Answer: (weight = w)

This is a lot to answer but. (A)  (13 x 1.2) - 14 = w

w = 1.6

Step-by-step explanation:

A company pays its employees $26 for every 4 hours of overtime worked in a day.

Mike works 9 hours of overtime and is paid $53.
Rachael works 8 hours of overtime and is paid $52.
Tom works 17 hours of overtime and is paid $442.
John works 16 hours of overtime and is paid $100.


Which employee receives an appropriate payment for the hours of overtime worked, according to the given unit ratio?

Answers

Answer:

John

Step-by-step explanation:

for each value c determine how many solutions the system has

Answers

Answer:

can we get a picture or something? we cant help unless we have more context

Step-by-step explanation:

geometry word problem:
The area of a square is four times the area of a triangle. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square?
(A) 1 : 4
(B) 1 : 2
(C) 2 : 1
(D) 3 : 2
(E) 2 : 3

Answers

The ratio of the height of the triangle to the side of the square (B) 1 : 2

What are the areas of triangle and square?

The area of a triangle is (1/2)×base×height.

The area of a square is (side)².

Given, The area of a square is four times the area of a triangle.

(side)² = 4{(1/2)×base×height}.

The base of the triangle and the side of the square are equal let this be 'a'.

∴ a² = 4(1/2)×a×height.

a = 2×height.

a = 2h.

learn more about squares here :

https://brainly.com/question/14198272

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Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)

(−9, −6)

(−8, −2)

(0, −12)

(4, −20)

Answers

Answer:

(-10,8)(0,12)(4,-20)

Step-by-step explanation:

You just have to insert the points into the equation and then solve.

Ex: 2(4)-20=-12- True

PLEASE HELP TENTH GRADE GEOMETRY

Answers

Answer:

answer is 19............

a cylinder has a radius of 3 feet and a height of 2.1 feet. what is the approximate volume of the cylinder? use 3.14 for pi. 12.6 ftł 59.3 ftł 237.5 ftł 8550.2 ftł

Answers

Answer:

59.3ft³

Step-by-step explanation:

The formula for the volume of a cylinder is V= πr²h, where r is radius and h height.

So in our case, we have r= 3ft and h=2.1 ft and π≅3.14

So from the formula for the volume of a cylinder, we get 3.14*3²*2.1 = 59.3 ft³

The volume of the cylinder is about 59.3 ft³

Lincoln middle school had a canned food drive. The 6th grader brought in 5.75

Answers

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

At Jared's school, he earns reward
points.
He has earned 350 points.
He wants to have at least 100 points left
at the end of year for prizes.
He wants to use 20 points each week
for Free-Sit Friday.
How many weeks can Jared have Free-
Sit Friday and still have at least 100
points at the end of the year?
Write the Inequality.

Answers

12 because you can't go over 100

Answer:

ok so first take a way 100 from 350

250 then divide by 20

12

Hope This Helps!!!

Job bakes 48 cupcakes and 60 cookies. What is the biggest number of cupcakes and cookies that can be placed in boxes if these are of the same number? 

pls answer it i really need it now
bonus big pts
if nonsense I'll report you​

Answers

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

I need help again someone please help

Answers

G=45.89 gallons 46 gallons.

I hope this answers your question!

:)

please give me the answer (click on file) ​

Answers

Answer:

x = 122

Step-by-step explanation:

if a/b-d=2c/b, find the value of c when a=3 b=4 and d=5
please explain your answer

Answers

Answer:

c= -17/2

Step-by-step explanation:

a/b-d=2c/b

3/4-5=2c/4

-17/4=2c/4

-17/4÷1/4=2c

-17/4×4=2c

2c=-17

c=-17/2

Which term better describes the populations in the nations of Northern Europe?

1. homogeneous
2. heterogeneous

Answers

Heterogeneous and homogeneous

The coefficient of 3x is "3."

True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

false.

Step-by-step explanation:

btw i love your pfp.

which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : pumpkin that is 12 pounds

Step - by - step explanation :

First, convert . . . what is 1.7 kilograms as pounds ?  3.74786 ( rounded is 4 pounds )

Second, compare . . . 4 < 12

Hope this helped ! :>


You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
nothing otherwise. Find the expected value of the entries.
Expected Value Table for rolling a six-sided die

Answers

We want to get the expected value for the given experiment. We will see that the expected value is $2.33

For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have 3 outcomes:

x₁ = winning $8x₂ = winning $2x₃ = winning $0.

For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:

p₁ = 1/6

For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:

p₂ = 3/6

For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:

p₃ = 2/6

Then the expected value is:

EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33

If you want to learn more about expected values, you can read:

https://brainly.com/question/15858152

PLEASE HELP ME NOWWWWWWWWWW

Answers

Answer:

36 And 59

Step-by-step explanation:

The base of a triangle is V75 cm and its height is V12 cm. Find its area.

Answers

Answer:

450 cm area

Step-by-step explanation:

Formula 1/2*b*h

1/2*75*12cm

1/2*900

1*450cm

450 is area  PLEASE MARK BRAINLIEST :))

PLEASE YOU GUYS I NEED REAL HELP !!!!!!
The population of a town is modeled by the equation P=3485e0.12t, where “P” represents the population as of the year 2000.
According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.



Part A: 11,571 people in 2010
Part B: approx. 22 years

Part A: 38,416 people in 2010
Part B: approx. 13 years

Part A: 11,571 people in 2010;
Part B: approx. 13 years

Part A: 38,416 people in 2010;
Part B: approx. 22 years

Answers

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

Let P represents the population as of the year(t) 2000. Given the equation:

[tex]P=3485e^{0.12t}[/tex]

In the year 2010 (t = 10 years), the population would be:

[tex]P=3485e^{0.12*10}=11571\ people[/tex]

For the population to reach 50000 people:

[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]

The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.

Find out more at: https://brainly.com/question/12490064

Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $104,271. 02 $107,399. 15 Which function best represents the value of the real estate after t years? f(t) = 101,234(1. 03)t f(t) = 101,234(0. 03)t f(t) = 104,271. 02(1. 03)t f(t) = 104,271. 02(0. 03)t.

Answers

The function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]

The table is represented as:

Years  - Values

1          -  $104,271. 02

2         -  $107,399. 15

Appreciation and depreciation are often represented using exponential function as follows:

[tex]f(x) = ab^x[/tex]

At year 1, we have:

[tex]104271. 02 = ab^1[/tex]

[tex]104271. 02 = ab[/tex]

At year 2, we have:

[tex]107399. 15 = ab^2[/tex]

Divide both equations

[tex]\frac{107399.15}{104271.02} = \frac{ab^2}{ab}[/tex]

[tex]1.03 = b[/tex]

Rewrite as:

[tex]b = 1.03[/tex]

He bought the real estate for $101,234.

So, we have:

[tex]a = 101234\\[/tex]

Substitute values for (a) and (b) in [tex]f(x) = ab^x[/tex]

[tex]f(x) = 101234(1.03)^x[/tex]

Replace x with t

[tex]f(t) = 101234(1.03)^t[/tex]

Hence. the function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]

Read more about exponential functions at:

https://brainly.com/question/12940982

how do you find the area of something​

Answers

Answer:

multiply the length and the width of a rectangle or a square

nth term of 5,8,13,20,29

Answers

The answer to the problem is 85 if you were looking for the ninth term, but I’m not for sure what you were looking for

Answer:

nth term = 4 + n^2

Step-by-step explanation:

Sorry if the answer is long but I'm hoping my explanation can help.

In order to understand the issue, we should try to find the pattern between the terms given.

The terms given were 5, 8, 13, 20 and 29.

Between the first term and second term, the difference is 3.

Between the second and third term, the difference is 5.

The pattern goes on and we find out that the difference between the (n-1)th term and the nth term is

2n - 1.

Hence, we can determine the pattern of the numbers is

nth term = (n-1) term + 2n - 1

We can use this to find term 0 (before term 1) by plugging in the values for term 1

5 = 0th term + 2 (1) - 1

5 = 0th term + 1

Hence the 0th term = 4

If we expand on the summation,

We can find the nth term

nth term = 4 + 2 (1) - 1 + 2(2) - 1 + ... + 2(n-1) - 1 + 2n - 1

As we can see, the number 1 has been subtracted n times (excluding the -1 in 2(n-1)). Hence, we can split combine all of the subtracted ones into -n.

We can rewrite it as

nth term = 4 + 2 (1) + 2(2) + ... + 2(n-1) + 2n - n

Now, we will move 4 and n to one side.

nth term = 4 - n + 2 (1) + 2(2) + ... + 2(n-1) + 2n

We can factorize 2 out from every term to the right of -n. This would give out

nth term = 4 - n + 2 (1 + 2 + ... + (n-1) + n)

The term (1 + 2 + ... + (n-1) + n) can actually be rewritten by using the triangular formula.

The triangular formula is stated such that

Tn = (n*(n+1))/2

This heavily simplifies the equation into

nth term = 4 - n + 2 [(n*(n+1))/2]

This equation becomes

nth term = 4 - n + n^2 + n.

Now, we can finally simplify into the final equation

nth term = 4 + n^2

Which graph is defined by the function given below?
y = (x-3)(x-3)

Answers

Answer: graph b

Step-by-step explanation:

Vertex:  ( 3 ,0 )

Focus:  ( 3 , 1 4 )

Axis of Symmetry:  x = 3

Directrix:  y = − 1 4

Compute the fare without tip: 4 passengers, 20 miles.


$57.50


$59.70


$56.40


$58.60

Answers

I had this question earlier, and if I remember correctly the answer was 56.40

I NEED HELP ASP AHH
I need help on number 5 and 8
This is for geometry
number 5 and 8 are rhe blank ones​

Answers

#5:

Let's first start by solving for x. The two angles with x's in them form a linear pair, or are supplementary angles, meaning that they add up to 180 degrees.

(4x + 23) + (9x - 38) = 180

13x - 15 = 180

13x = 195

x = 15

Now that we have x, we can solve for y. Alternate interior angles are congruent.

(4x + 23) = (21y - 1)

4(15) + 23 = 21y - 1

60 + 23 = 21y - 1

83 = 21y - 1

84 = 21y

y = 4

#8:

Let's first start by solving for x. The two angles with x's in them are corresponding angles, meaning that they are congruent.

10x = 13x - 33

-3x = -33

x = 11

Now that we have x, let's figure out how we can find y. Looking at the angle with a value of 10x, we can find its supplement. That supplement then, is a corresponding angle with the 5y angle, meaning that they are congruent.

Supplement = 180 - 10x

Supplement = 180 - 10(11)

Supplement = 180 - 110

Supplement = 70

Supplement = 5y

70 = 5y

y = 14

Hope this helps! :)

- #5 -

y = 4

[] First we need to solve for x, these are on a straight line so we can set them equal to 180 degrees and solve because they are supplement angles:

4x + 23 + 9x - 38 = 180

13x - 15 = 180

13x = 195

x = 15

[] Now we will plug-in and solve for one of them

9x - 38

9(15) - 38

135 - 38 = 97

[] Last, the y angle and the angle we just solved for can be added together and set equal to 180 because they are supplement angles:

97 + 21y - 1 = 180

96 + 21y = 180

21y = 84

y = 4

- #8 -

y  = 14

[] First we need to solve for x, these are corresponding angles so we can set them equal to each other:

13x - 33 = 10x

-33 = -3x

11 = x

[] Plug-in and solve for one of them

10x  = 10(11) = 110

[] Last, the line is 180 degrees so we can add them together, set it equal to 180, and solve

110 + 5y = 180

5y = 70

14

- See attached for where I am pulling numbers from -

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

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