Rudy has three recipes for fruit punch. Each recipe calls for a certain amount of pineapple juice.

Recipe 1 2 cups of pineapple juice for 5 cups of punch
Recipe 2 7.2 cups of pineapple juice for 20 cups of punch
Recipe 3 6.4 cups of pineapple juice for 16 cups of punch

Use the information in the table to complete the statements below.

______ have the same proportion of pineapple juice to punch. For these two recipes, the unit rate of pineapple juice to punch is ________
.

If Rudy used either of these two recipes to make 3 cups of punch, there would be
________ cups of pineapple juice in in the batch.

Answers

Answer 1

Answer: Recipes 1 and 3 have the same proportion.

The unit rate is 1 cup of pineapple juice for 2¹/₂ cups of punch

To make 3 cups of punch, there would be 1.2 cups of pineapple juice.

To make 30 cups of punch, there would be 12 cups of pineapple juice.

Step-by-step explanation:

To find proportions, divide the amounts

2/5 = 0.4   7.2/20 = 0.36   6.4/16 = 0.4

I added the 30 cup batch because it seems unlikely that anyone would want to make only 3 cups of punch.


Related Questions

For a fundraiser, the Lexington High School football team is making ice cream sundaes, They can buy chocolate ice cream for $15 per gallon and vanilla ice cream for $10 per gallon. They need at least 25 gallons and have a budget of $300. The lines x + y = 25 and 15x +10y= 300 are graphed in the coordinate plane below where and represent the number of gallons of chocolate and vanilla ice cream, respectively.
Which region represents all the numbers of gallon of each flavor that the team could buy?

Region A
Region B
Region C
Region D​

Answers

Answer:

region D

Step-by-step explanation:

all other regions are higher than $300

Answer:

C

Step-by-step explanation:

because its either A or C and when I did it I picked C and it was wrong.

¯\_(ツ)_/¯

Andrew ate 2/3 of the desert. cassandra ate 5/16 of the desert. what portion of the desert did andrew and cassandra eat altogether?

Answers

Answer:

Concept: Fractions

A ate 2/3 and C ate 5/16Let us find a common denominator Let 48 be our common DHence 32/48+ 15/48 = 47/48

Answer:

The portions added together make 47/48 of the dessert.

Step-by-step explanation:

To find the total amount that Andrew and Cassandra ate of the dessert, we have to add the two fractions together:

[tex]\frac{2}{3} + \frac{5}{16}[/tex]

[tex]\frac{32}{48} + \frac{15}{48}[/tex]

[tex]\frac{47}{48}[/tex]

Hence, Andrew and Cassandra almost ate up all of the dessert, clocking in at 47/48 of the dessert.

Hope this helped!

y = 2x – 4
y = -x + 5

Answers

Answer:

(3, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x - 4

y = -x + 5

Step 2: Solve for x

Substitution

Substitute in y:                    2x - 4 = -x + 5Add x to both sides:           3x - 4 = 5Add 4 to both sides:           3x = 9Isolate x:                              x = 3

Step 3: Solve for y

Define equation:                    y = -x + 5Substitute in x:                       y = -3 + 5Add:                                        y = 2

Use the table to write the rule (equation) for the relationship between x
and y.
х
у
0
4
1
5
2.
6

Answers

Y = x +4 hope this helps

Answer:

y = x + 4 or x - y + 4 = 0

Step-by-step explanation:

The relation between "x" and "y" is linear.

Slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] = [tex]\frac{6-5}{2-1}[/tex] = 1

Coordinates of y-intercept of the line (0, b) = (0, 4)

Slope-intercept form of a line equation is y = mx + b

The rule (equation) of line is y = x + 4

or x - y + 4 = 0 (in standard form)

HELP HELP HELP MEE Which point is located at (4, –2)?
A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

if you look at Ait showa that the dot is at 4 and goes down to -2

how to solve
[tex] \sqrt{4} x {}^{2} = x + 2[/tex]

Answers

Answer:

➩ [tex]x=2,-\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{4x^2}=x+2[/tex]

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

[tex]\sqrt{4x^2}=|2x|[/tex] ➩ Define of Absolute Value/Square Root

➩ [tex]\sqrt{x^2}=|x|[/tex]

Thus, our new equation is ➩ [tex]|2x|=x+2[/tex]

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

[tex]2x=x+2\\[/tex]

Move x to another side

[tex]2x-x=2\\x=2[/tex]

➨ Where x < 0

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

What is the equation to a line with a slope of -3 and a y-intercept of 8?

Answers

Answer:

y=-3x+8

Step-by-step explanation:

y=mx+b

(m=slope and b=y-intercept)

Answer:

Step-by-step explanation:

let’s use this equation y = mx + b

where m = slope

and b = y intercept

since slope is -3, m = -3

and since y intercept is 8, b = 8

so the equation is

y = -3x +8

can someone help me (3.7x10-8)(2.9x10⁶

Answers

scientific notation:
8.41 x 10^7

expanded form:
84100000

How much will her mother donate

Answers

I think u forgot to put the whole question

A bee flies at 6 feet Per second directly to a flower bed from its hive. The bee stays at the flower bed for 19 minutes, and then flies directly back to the hive at 4 ft per second. Is away from the high for a total of 24 minutes. What equation can used to find the distance of the flower bed from the hive? How far is the flower bed from the hive?

Answers

Answer:

720 feet

Step-by-step explanation:

We can Find the travelling time. We know that the bee spends 19 minutes hunting down the nectar in the flowerbed. But was away from the hive for a total of 24 minutes, then the travelling time becomes(24min - 19min) = 5 min

Then let us Convert to seconds vfir consistency

1 minute = 60 seconds

5 minutes = (5×60 )= 300 seconds.

Then the travelling time becomes 300 seconds

We can Find the time each way, since we know that the total time is 300 seconds, though not evenly divided

Let us denote the time there = t

the time back = (300 - t)

But the distances are the same.

r = 6 m/s and r1 = 4 m/s

t1 = t and t2 = (300 - t)

Let dthere = dback

Where, d =( rate × time)

(6× t )= 4 (300 - t)

6t= 1200 - 4t

10t=1200

t=120 seconds

To Find the distance?

d =( rate × time)

d = ? r = 6 m/s and t = 120 second

d = r*t

d = 6 × 120

= 720 feet

Hence, instance of the flower bed from the hive is 720 feet while the equation is ( d = r*t)

James is earning money to buy a bicycle for $100. For each dollar James earns, his mother gives him $1. So far he has earned $14 mowing lawns and $7 wash cars. How much more must James earn in order to but the bike??

Answers

Answer:

James needs to earn 78 more dollars.

Step-by-step explanation:

If you add up all of the money James has earned, (1 + 7 + 14), it equals 22. If you subtract 22 from 100, it equals 78. Therefore James needs to earn 78 more dollars.

Answer:

$58

Step-by-step explanation:

$14*2=$28 as her mum gives another dollar for each dollar he earns

$7*2=$14  as her mum gives another dollar for each dollar he earns

then 28 + 14 = 42

100 - 42=$58

Dr yang buys a violin for £13200 plus vat at 20% dr yang pays a deposit for the violin he then pays the rest of the cost in 12 equal payments of £360 each month find the ratio of the deposit dr yang pays to the total of the 12 equal payments give your answer in its simplest form

Answers

Answer:

8/3

Step-by-step explanation:

Given that:

Cost of violin = 13200 plus VAT at 20%

Cost of violin = (100 + 20)% * 13200

Cost of violin = 1.20 * 13200 = £15,840

Instalment pay = (360 * 12) = 4320

Therefore, deposit made equals ;

Total cost - Instalment pay

£(15,840 - 4320) = £11,520

Hence, ratio of deposit made to the total Instalment payment made ;

£11520 / £4320 = 8 / 3

What is the solution set of the quadratic inequality x^2-5<_0

Answers

Answer:

b

Step-by-step explanation:

edg

Answer:

B

Step-by-step explanation:

right on edge 2021

The slope of the line below is 2. Which of the following is the point-slope form of the line?​

Answers

The correct point-slope form of the line is A. y + 1 = 2(x - 1).

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

Given that the slope of the line is 2 and the point on the line is (1, -1), we can substitute these values into the point-slope form to find the correct equation.

Using the point-slope form, we have:

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

Simplifying the equation, we get:

y + 1 = 2(x - 1)

Now we compare this equation to the answer choices:

A. y + 1 = 2(x - 1)

B. y - 1 = -2(x + 1)

C. y + 1 = -2(x - 1)

D. y - 1 = 2(x + 1)

Comparing the equation y + 1 = 2(x - 1) to the given point-slope form, we see that they match.

In this equation, the point (1, -1) lies on the line, and the slope of the line is 2. The equation represents a line with a slope of 2 that passes through the point (1, -1).

For more such questions on point-slope form

https://brainly.com/question/24907633

#SPJ8

A video posted on the internet is becoming very popular, and the total number of views is increasing by 40% every hour. If the video currently has 74,300 views, how many views will it have in 9 hours?

Answers

Answer:

74304 approx.

Step-by-step explanation:

Step one:

given data

current view of the video is marked at =74300

the rate of increase is 40%

let the number of hours be x

and let the total views be y

hence the linear function for the total is

y=0.4x+74300

Required is the value of y when  x=9

Step two:

substitute x=9

y=0.4(9)+74300

y=3.6+74300

y=74303.6

y=74304 approx.

what is x? please help!

Answers

Answer:

x is 10x-33

Step-by-step explanation:

JT has coordinates J (-2,-5) and T (2,3). The segment is rotated 180° about the origin to form J'T'. Then J'T' is translated 6 units to the right and 3 units down to form J''T''. What are the coordinates of J'T' and J''T''?

Answers

Answer:

(2,5)) ,(-2,-3),(8,2),(4,-6)

Step-by-step explanation:

it is rotated by 180 degree so evrything  becomes  positve beside the -6

The equation for the cost in dollars of producing computer chip is y = .000015x^2 - .03x +35. Where X is the number of chips produced. Find the number of chips that minimizes the cost. What is the cost for that number of chips?

Answers

Answer:

The equation for the cost in dollars of producing computer chips

The equation for the cost in dollars of producing computer chips is C = 0.000015x^2 - 0.03x + 35, where x is the number of chips produce. Find the number of chips that minimizes the cost.

Step-by-step explanation:

Due tonight! PLEASE HELP The graph of a quadratic function has a domain of (-∞, ∞) and range of [4, ∞). In two or more complete sentences, explain how the given range of the function can help you to determine whether the graph opens up or down.

Answers

Answer:

Opens up

Step-by-step explanation:

The range is:

[4, oo)

It means the lowest point is 4 and all the other points are greater than 4

Point 4 is the y-coordinate of the vertex and the graph opens up.

For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 6 options:

A)

right 2 and upward 3.

B)

right 3 and upward 2.

C)

left 3 and downward 2.

D)

left 2 and downward –3.

Answers

Answer:

A

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Then f(x - 2) represents a shift to the right of 2 units

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units

Answer:

right 2 and upward 3.

Step-by-step explanation: I took the test

Find the length of the unknown side. Round your answer to the nearest whole number.

Pls help thx 19 points

Answers

Answer:

7 inches

Step-by-step explanation:

you have to use the Pythagorean Theorem

Answer:

10 inches

Step-by-step explanation:

Assuming one of angles is 30 degrees we can use the theorem leg opposite to 30 degree angle the hypotenuse will be double than the leg measurements so it is 10 inches.

Complete the table below for the function y 3.2 0. 0 1 2 3​

Answers

uhmmm... i just need words :)

7 inches of snow in 7 hours rate and unit rate​

Answers

Answer:

unit rate: (1,1)

Step-by-step explanation:

Pls answer I need it
With work!!! Pls...

Answers

Answer:

5

Step-by-step explanation:

g(x) = 2 - 3x

g(-1) = 2 - 3(-1)

g(-1) = 2 + 3

g(-1) = 5

Long division 4/8,728

Answers

Answer:

0.0004582951

Step-by-step explanation:

I just put this equation into a calculator to solve.

The anwser is 2182i hope this helps

Write two like terms using whatever variable(s) you'd like. Explain why these are like terms.

Answers

-3x and 100x
They are like terms because they have the same variable.

Divide the fractions: Leave the answer as an improper fraction

1/5 divided by 2/11

Answers

Answer:

The an

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

reciprocal methodchange the operation to multiplicationmultiplyreduce/simplify the fraction if needed (if the fraction is already reduced you don't have to reduce it)

 1           2

___  ÷  ___

 2          11

          1           11

___  ÷  ___

         2           2

         1          11        11

___  × ___ = ___

         2          2        4

since 11/4 is already in a simplified/reduced form we don't need to reduce it or anything.

FINAL ANSWER: 11/4

what two numbers' sum=-4 and product=-2

Answers

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

____ - 369 = 286?
help a sister out

Answers

Answer:

655

Step-by-step explanation:

655-369=286

I hope this is correct and have a great day

please help, im desperate ​

Answers

Answer:

i think 124...is the answer

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