Samantha and Caden are planning an end-of-school party for the computer club at their school. They each suggest a recipe for punch to serve at the party.


Samantha's Recipe


3

1

2

parts cranapple juice


2

1

2

parts lemonade


Caden's Recipe


4

1

4

parts cranapple juice


3

3

4

parts lemonade


For each recipe, write a ratio that compares the number of parts of lemonade to the total number of parts.









Which recipe will have the stronger lemon taste? Explain how you determined your answer.

Answers

Answer 1

Answer and Step-by-step explanation:

Samantha's recipe has:

3 parts cranapple juice

2 parts lemonade

In total, this recipe has:

t = 3 + 2

t = 5

ratio = [tex]\frac{2}{5}[/tex]

Caden's recipe has

4 parts cranapple juice

3 parts lemonade

In total:

t = 4 + 3

t = 7

ratio = [tex]\frac{3}{7}[/tex]

The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.

For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4

For Caden's, 3 ÷ 7 = 0.43

Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.


Related Questions

subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)​

Answers

Answer: -6- (8.4) =1.2x +8.4 - (8.4)​

X = - 12

If Karis can run 1 mile in 10 minutes, how many
miles could he run in 1 hour at this same rate?

Answers

Answer:

6 miles per hour or 6 miles

Step-by-step explanation:

If Karis can run 1 mile in 10 minutes, how many miles could he run in 1 hour at this same rate?

1 mile = 10 minutes

there are 60 minutes in 1 hour

10 minutes × 60 minutes = 6

6 × 1 mile = 6 miles so the answer is 6 mile per hour

An average swimming pool contains 19200 gallons of water. The pool needs drained at the end of the summer. Water drains from the pool at the rate of 12 gallons per minute. Which equation can be used to find the volume, V, of the water in the pool m minutes after draining begins?

Answers

Answer:

V = 19200 - 12m

Step-by-step explanation:

The pool contains 19200 gallons of water.

Now we are told that water drains from the pool at the rate of 12 gallons per minutes.

Now, we want to find the volume, V, of the water in the pool, "m" minutes after draining begins.

Since water drains at 12 gallons per minutes, it means that after "m" minutes, the total amount that would have been drained is 12m gallons.

Thus, total volume V left after m minutes can be expressed as;

V = 19200 - 12m

I need help please and thank you

Answers

Answer:#7 is 20%. #8 is 67.5 people

Step-by-step explanation: For #7 you would just divine 14/70 to get .20 converted to a percentage is 20%. For #8 you would convert 37.5% to a decimal of .375 and multiply that to 180 people to get the answer of 67.5 people.

Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model. Marsha shades one model and seven-tenths of another model. What decimal represents the number of shadows of each girl? Click on the icon to view the decimal models of hundredths. The decimal represents the number of shades of amber. The decimal represents the quantity that represents the quantity that Marsha qualifies. Tones of grace. The decimal (write whole numbers or decimals).

Answers

Answer:

[tex]Amber = 0[/tex]

[tex]Grace = 0.60[/tex]

[tex]Marsha =1.70[/tex]

Step-by-step explanation:

Given

Decimal Grid = Hundredths

[tex]Amber = None[/tex]

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

To solve for each:

We have:

For Amber:

[tex]Amber = 0 * 100[/tex]

[tex]Amber = 0[/tex]

For Grace:

[tex]Grace = \frac{3}{5}th[/tex]

[tex]Grace = \frac{3}{5} * 100[/tex]

[tex]Grace = \frac{300}{5}[/tex]

[tex]Grace = 60[/tex]

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

[tex]Grace = 60 * \frac{1}{100}[/tex]

[tex]Grace =\frac{60}{100}[/tex]

[tex]Grace = 0.60[/tex]

For Marsha:

[tex]Marsha = 1 + \frac{7}{10}th[/tex]

[tex]Marsha = \frac{10 + 7}{10}th[/tex]

[tex]Marsha = \frac{17}{10}th[/tex]

[tex]Marsha = 1.7th[/tex]

Multiply this by 100, to get the number of shaded

[tex]Marsha = 1.7 * 100[/tex]

[tex]Marsha = 170[/tex]

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

[tex]Marsha = \frac{170}{100}[/tex]

[tex]Marsha =1.70[/tex]


Which equation has a constant of proportionality equal to ?
1/2
Choose 1 answer:

Answers

Answer:it’s c or 3/6

Step-by-step explanation:

Answer:

C. y = 3/6x

Step-by-step explanation:

The number by the x is the constant of proportionality. 3/6 is the same thing as 1/2, because when you divide the numerator and denominator by 3 it equals to 1/2.

Show all work to identify the asymptotes and zero of the function f(x)=5x (over) x^2-25

Answers

9514 1404 393

Answer:

asymptotes: x = ±5; y = 0zero: x = 0

Step-by-step explanation:

The function will have a zero where the numerator is zero:

  5x = 0

  x = 0 . . . . divide by 5

The zero of the function is x=0.

__

The function will have vertical asymptotes where the denominator is zero:

  x^2 -25 = 0

  x^2 = 25 . . . . add 25

  x = ±5 . . . . . . take the square root

The function will have vertical asymptotes at x = -5 and x = 5.

__

When x gets large, the magnitude of the function is approximately ...

  5x/x^2 = 5/x

As x approaches infinity, this value approaches zero.

The function will have a horizontal asymptote at y = 0.

PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS

Answers

Answer:

well the numbers are 58 60 62 64 and 66

Step-by-step explanation:

it's because when u add these 5 numbers u get 310 hope this helps

Answer: 62

Step-by-step explanation:

Please help!!!! thank youuuu

Answers

Answer :

80 degrees

The triangles are similar

Please help me solve this. :)​

Answers

Answer:

40

Step-by-step explanation:

   Given problem:

            x² - y²

x+ y = 10

x - y = 4

Solution:

Using the concept of differences of two squares;

      x² - y² = (x + y)(x - y)

                 

So;

      x² - y²  = 10 x 4 = 40

Maki gave the cashier $50 to pay for 3 necklaces. The cashier gave her $4.25 in change. If each necklace cost the same amount, what is the cost in dollars and cents for each necklace?

Answers

Answer:

15.25

Step-by-step explanation

We can make an equation based on the data. 3x + 4.25 = 50

3x = 45.75

x = 15.25

Answer:

15.25

Step-by-step explanation:

The graph shows the height in feet of an object above the ground T seconds after it was launched from the ground.

Answers

Answer:

the answer is D

Step-by-step explanation:

The equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is a graph that shows the height in feet of an object above the ground {T} seconds after it was launched from the ground.

The given graph is a parabola. A quadratic equation represents a parabola.

The quadratic equation will have two roots at the point on which it cuts the {x} axis.

Consider the equation in option {C} as -

y = -16x² + 64x

For the point (4, 0), we can check the graph as -

0 = - 16 x 4 x 4 + 64 x 4

0 = 0

For the point (0, 0), we can check -

0 = 0 + 64 x 0

0 = 0

Therefore, the equation y = -16x² + 64x represents the given parabola that represents the height in feet of an object above the ground T seconds after it was launched from the ground.

To solve more questions on functions, visit the link below-

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Explain why three-dimensional graphs can be misleading. What would be a better type of graph to
use?

Answers

three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.

Max is x years . Brother is 8 years older , sister is 12 years younger.total age.is 50 years.how old are they ?

Answers

Answer:

30

Step-by-step explanation:

12 + 8 = 20 so that means 50-20= 30 so max is 30 years old

x+8=b
x-12=s
X+b+s=50 then
x+x+8+x-12=50
So 3x-4=50
Then 3x=54
So x=18
Then the brother is 26 and the sister is 6
Check 26+18+6=50

( need help asap for a test) Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instruction and ate 6 ounces of candy during planning.

(16 ounces = 1 pound)

How many ounces of candy does Ms. Smith still have in her bag?

A.
38 ounces

B.
42 ounces

C.
48 ounces

D.
54 ounces

Answers

Answer:

c

Step-by-step explanation:

5-2=3 3•16=48 48-6=42

The diameter of a cylinder is doubled, and the height is cut in half. what will happen to the volume of the cylinder? please!

Answers

Answer:

The volume will be four times the original volume.

Step-by-step explanation:

V = (pi)r2h is the formula for the volume of a cylinder. The formula becomes V = (pi)(2r)2h if the radius is doubled and the height remains the same. V = 4(pi)r2h after simplifying. ... Therefore the new volume would be 4 times the original volume.

can someone explain to me how to do this

Answers

Answer:

x=45

Step-by-step explanation:

We know that 2y+6 and 8y-102 are vertical angles to each other. This means that 2y+6=8y-102. [tex]6y=108[/tex], which means that y=18. [tex]2\cdot(18)+6=36+6=42[/tex]. Since one line is a straight angle, it is 180 degrees we can do [tex]3x=180-45=135[/tex], so x=45.

Answer:

y = 18

x = 46

measures of the angles:

8y - 102 = 42

2y + 6 = 42

3x = 138

Step-by-step explanation:

So first remember the verticle angles theorem, which states that, when two lines intersect there will be four angles formed; the angles that are opposite from each other will be congruent, that is,  they will have the same measure.

Using this we know that opposite angles have to be congruent:

so

(2y + 6) = (8y -102)

now there is an algebra equation that can be solved by inverse operations and simplifying

2y + 6 = 8y - 102

    +102      +102

2y + 108 = 8y

-2y             -2y

108 = 6y

/6        /6

18 = y

Also, remember that two adjacent angles that form a line will add up to 180,

so

3x + (2y + 6) = 180

*note: I could have also used (8y - 102) but I choose to use (2y + 6)

so now substitute in the value of y that was found

y = 18

3x + (2 * 18 + 6) = 180

simplify

3x + ( 36 + 6) = 180

3x + 42 = 180

now use inverse operations

3x + 42 = 180

     -42     -42

3x = 138

/3      /3

x = 46

Lerna's Hydra is a mythological character that appears in some stories such as the 12 Tasks of Hercules. The Hydra was a one-headed monster but when it is cut off, 2 more heads grow in its place. If a hero tried to conquer it by cutting off all of its heads every day, how many heads would the Hydra have on the third day? And at the end of 10 days of trying to kill it? *

Answers

Answer:

Step-by-step explanation:

Initially the monster is one-headed, when it is cut off, 2 more heads grow in its place, when the two heads are cut off, 4 will grow in its place. This will go on an on and the amount of heads that grows each day will form a geometric sequance as shown;

1, 2, 4...

The nth term of an arithmetic sequence is expresses as;

[tex]T_n = ar^{n-1}[/tex] where;

a is the first term

r is the common ratio

n is the number of terms

To get the number of heads that the Hydra have on the third day, we will have to find the fourth term of the sequence since the first cutting was done the next day (second day).

from the sequence above;

a = 1

r = 2/1 = 4/2 = 2

T4 = 1(2)^{4-1}

T4 = 2^3

T4 = 8

Hence the hydra will have 8 heads on the third day.

To know the number of heads at the end of 10 days, we will find the 11th term of the progression

T11 = 1(2)^{11-1}

T4 = 2^10

T4 = 1024

He will have 1024 heads after 10 days of trying to kill the monster.

The number of heads that would the Hydra have on the third day is 8

And, at the end of 10 days of trying to kill it is 1024.

The calculation is as follows:

a = 1

r = 2 by 1 = 2  

T4

= 8

So the hydra will have 8 heads on the third day.

Now  

To know the number of heads at the end of 10 days, we will determine the 11th term of the progression

= 1024

Learn more: https://brainly.com/question/24908711?referrer=searchResults

Need help ASAP!!!!!!!

Which pair of numbers has an LCM of 60?
a. 2 and 12
b.5 and 12
c.6 and 12
d.3 and 12


Pls answer ASAP

Answers

Answer: 5 and 12

Step-by-step explanation:

i did the quiz

What is the slope of a line that is parallel to the line y=2/3x+5

Answers

Answer: 2/3

Step-by-step explanation: The slopes of parallel lines are equal/the same but they have different y intercepts

"57 more than 3 times Kate's score" Use the variable g to represent Kate's score.

Answers

3g+57=
g= Kate’s Score

f(x)= 3x^2-7 over
4x^2-3

-find f(2)

Answers

Answer:

5/13

Step-by-step explanation:

f(x) = [tex]\frac{3x^{2}-7 }{4x^{2}-3 }[/tex]

Substitute x for 2.

[tex]\frac{3(2)^2-7}{4(2)^2-3}[/tex]

Solve

[tex]\frac{3(4)-7}{4(4)-3}[/tex]

[tex]\frac{12-7}{16-3}[/tex]

f(2)= [tex]\frac{5}{13}[/tex]

The value of f(2) is 5/29.

What is Function?

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

f(x) = 3x² -7/ 4x² - 3

Now, find the value of the function at x= 2

So, f(2)= 3(2)² -7/ 4(2)² - 3

f(2) = 3 x 4 -7 / 4 x 8  - 3

f(2) = 5/29

Hence, the value of f(2) is 5/29.

Learn more about function here:

https://brainly.com/question/5245372

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Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa's PIN?

Answers

Answer:

2345, 2034, 2134

Step-by-step explanation:

From the choices available the only options that would samples would be 2345, 2034, 2134. These three samples meet all of the requirements of the ATM cards pin system. Each of them starts with a 2 which is between 1 and 9. The last 3 digits of each of these samples are between 0 and 9 and are also not repeated from any of the other digits in the pin. All of the other options available either start with a 0 or have at least one repeating digit in its pin code.

Which is the best estimate of 22 x 97 by using rounding or compatible numbers? F. 1.800 G. 2,000 H. 2.300 1. 2.400​

Answers

Answer:

G

Step-by-step explanation:

2,134 is the answer to 22 times 97.

So, the estimate would have to be; G. 2,000

( 2,134 rounds to 2,000.)

-x + 7 <10
Solving inequalities

Answers

Answer:

x>-3

Step-by-step explanation:

−x+7<10

Step 1: Subtract 7 from both sides.

−x+7−7<10−7

−x<3

Step 2: Divide both sides by -1.

−x−1<3-1

x>−3

Solve for x: 3(x + 1) = −2(x − 1) − 4.

Answers

Answer:

x = -1

Step-by-step explanation:

3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)

3x + 3 = -2x + 2 - 4 (collect like terms on the right side)

3x + 3 = -2x - 2 ( add 2x on both sides)

5x + 3 = -2 ( subtract 3 on both sides)

5x = - 5 (divide by 5 on both sides)

x = -1

3(x+1)=-2(x-1)-4
3x+3=-2x+2-4
3=-5x+2-4
7=-5x+2
5=-5x
-1=x

Find the measure of the "?" or "X". Explain or show your

Answers

Answer:

66⁰ + x = 111⁰

x = 111⁰ - 66⁰

x = 45⁰

Answer:

First, I am taking the interior angle E as 'y' to be able to use the angle sum property to find 'x'.

So we can find 'y' by using 'linear pair'.

So Exterior angle 'E'+y=180 Degree.

=  111+y=180

By transposing: y=180-11

And y= 69 degrees.

And now have angles y & 'Angle G' we can use Angle sum property to find 'x'

ACCORDING TO ANFLE SUM PROPERTY OF TRIANGLE: "THE SUM OF ALL THE ANGLES OF A TRIANGLE IS 180 DEGREE"

THEREFOR, y+x+angle G=180 degrees.

=  69 degrees+66 degrees+x=180 degrees

=  135 degrees+x=180 degrees

by transposing,

x= 180 degrees-135 degrees

And, x= 45 degrees

ANOTHER METHOD:

BY USING EXTERIOR ANGLE PROPERTY.

ACCORDING TO EXTERIOR ANGLE PROPERTY OF TRIANGLE: "An exterior angle of a triangle is equal to the sum of its interior opposite angles"

So, Exterior Angle E= x+ Angle G

=  111 degrees= x+ 66 degrees

By transposing, x= 111 degrees-66 degrees

=  x=45 degrees.

So no matter whichever method is used, the value of x= 45 degrees.

Anna runs three over4 mile in six minutes. Assuming she runs at a constant rate what is her speed in miles per hour

Answers

Answer:

7.5 mph

Step-by-step explanation:

6 times 10 is 60 minutes which is an hour

3/4 times ten is 7.5

There are 2 computers for every 3 iPads in this technology room

Answers

I’m confused on the question, what are u asking

Answer:

The Ans Is 2:3

Step-by-step explanation:

Which pair of lines are perpendicular

Answers

Answer:

D

Step-by-step explanation:

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