You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar \dfrac13 3 1 ​ start fraction, 1, divided by, 3, end fraction 111 333 Packets of lemonade mix 111 333 999 Is the amount of sugar you need proportional to the amount of lemonade mix you use?

Answers

Answer 1

Answer:

Yes, the amount of sugar you need proportional to the amount of lemonade mix you use.

Step-by-step explanation:

You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar

1/3

1

3

Packets of lemonade mix

1

3

9

Is the amount of sugar you need proportional to the amount of lemonade mix you use?

Cups of sugar ∝ Number of packets

C ∝ N

C = k/N

k = C/N

a) For

1/3 cups of sugar and 1 packet of Lemonade mix

1/3 ∝ 1

1/3 = 1k

k = 1/3/1

k = 1/3

b) For

1 cups of sugar and 3 packets of Lemonade mix

1 ∝ 3

1 = 3k

k = 1/3

k = 1/3

c) For

3 cups of sugar and 9 packets of Lemonade mix

3 ∝ 9

3= 9k

k = 3/9

k = 1/3

Therefore, Yes, the amount of sugar you need proportional to the amount of lemonade mix you use. This is because the value is k is the same

Answer 2

Answer:

yes

Step-by-step explanation:


Related Questions

70 - 4a for a = 8 ??

Answers

Answer:

38

Step-by-step explanation:

Just substitute it. The equation becomes

70 - 4(8)

70 - 32 = 38

Answer:

38

Step-by-step explanation:

70 - 4a =

70 - 4*8=

70 - 32= 38

23,716 ÷ 74 =
help me ;.)

Answers

Answer: 320.48

Step-by-step explanation: Calculator work (:

Answer:

320.486486

Step-by-step explanation:

Not entirely sure if this is correct.

Explain why a graphical display might be skewed. How
do you ensure data isn't skewed?

Answers

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Answer:

Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Step-by-step explanation:

The hexagon PQRSTU is plotted on a coordinate plane with vertices P(–1, 0), Q(–1, 3), R(1, 4), S(2, 5), T(4, 4), and U(4, 0). What is the hexagon's perimeter?

Answers

Answer:

I got- 18.2

Step-by-step explanation:

I have this on a exam im working on right now.

The perimeter of the hexagon is 12 + 2√5 + √2

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) an (c, d) are the two points.

We have,

Hexagon PQRSTU.

Vertices.

P = (–1, 0)
Q = (–1, 3)

R = (1, 4)

S = (2, 5)

T = (4, 4)

U = (4, 0)

Now,

We can make 6 lines.

PQ, QR, RS, ST, TU, and PU

We find the distance between each line.

PQ = [tex]\sqrt{(-1 + 1)^2 + (3 - 0)^2}[/tex] = 3

QR = [tex]\sqrt{(1 + 1)^2 + (4 - 3)^2}[/tex] = √5

RS = [tex]\sqrt{(2 - 1)^2 + (5 - 4)^2}[/tex] = √2

ST = [tex]\sqrt{(4 - 2)^2 + (4 - 5)^2}[/tex] = √5

TU = [tex]\sqrt{(4 - 4)^2 + (0 - 4)^2}[/tex] = 4

PU = [tex]\sqrt{(4 + 1)^2 + (0 - 0)^2}[/tex] = 5

Now,

The perimeter of the hexagon.

= 3 + √5 + √2 + √5 + 4 + 5

= 12 + 2√5 + √2

Thus,

The perimeter of the hexagon is 12 + 2√5 + √2

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ6

10 minutes to answer

Write an expression equivalent to

4 - (-7)


help

Answers

11 because -7 subtracted by 4 add kore to the 7 so think of it this way -7 is a bad guy and 4 is a bad guy to because its a subtraction so if both bad guys combine you get 11 because a negative with negative makes a positive so its 11

Help please
I will give a brainliest

Answers

the other person is correct the answer is C

Can someone help me with this. Will Mark brainliest.

Answers

Answer: ur answer would be (1,5)

Step-by-step explanation:

Hope this helps! Have a good day! :)

How can you determine if the given lines are perpendicular?​

Answers

Answer:

Step-by-step explanation:

Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .

^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

which expression is equivalent to 6x + 8

Answers

Answer: 2(3x+4)

Explanation:
We would use the distributive property to multiply 2 by 3x, then again by 4, which gives us 6x+8.

Hope it helps you...

The diagonals in a kite __________.
a) bisect each other
b) are perpendicular
c) are congruent

Answers

Answer:

B

Step-by-step explanation:

Diagonals in a kite are perpendicular. I just learned this. Mark Brainliest if you get it right!!!

What is the constant of proportionality of the following equation?
B = 1.25C

Answers

Answer:

The answer is 122

Step-by-step explanation: 0.25 is the constant proportionality in this equation .

let meh know if you need more answers ✨✨

Answer:

1222

Step-by-step explanation:

Which angles are adjacent to each other

Answers

Answer:

7

Step-by-step explanation:

Answer:

4 and 1

Step-by-step explanation:

theyre beside each other

For questions 3-5, use the FOIL method to find the product of the binomials

3. (2x+3)(x+1)

Answers

Answer:

2x² + 2x +3x +3= 2x² + 5x + 3

Logan is taking a loan out to buy a $4000 right for his wife. He has two finance options listed below. Which should he choose? Option a- a five year loan with a %7 interest rate compounded quarterly l. Option b- an eight year loan with a 5.5% interest rate compounded annually

Answers

Answer:

The most convenient option for Logan is A, since he will pay a lower amount than if he chose option B.

Step-by-step explanation:

Given that Logan is taking a loan out to buy a $ 4000 right for his wife, and he has two finance options, Option A, which gives a five year loan with a% 7 interest rate compounded quarterly, and Option B, which gives an eight year loan with a 5.5% interest rate compounded annually, to determine which option should be chosen, the following calculation must be performed:

Option A:

X = 4,000 (1 + 0.07 / 3) ^ 5x3

X = 5,653.49

Option B:

X = 4,000 (1 + 5.5 / 1) ^ 8x1

X = 6,138.75

Thus, the most convenient option for Logan is A, since he will pay a lower amount than if he chose option B.

Citlali was traveling at 60 miles per hour. she has already traveled 120 miles. To get to california which is 360 miles from home, and traveling at the same average speed, how many more hours will it take before he arrives in california?

Answers

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

$37.30 for 2 pairs of jeans

Answers

Answer:

18.65

Step-by-step explanation:

PLEASE, I REALLY NEED YOUR HELP!!
For each of the figures, write an Absolute Value equation to satisfy the given solution set.

Answers

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

When Jaya goes bowling, her scores are normally distributed with a mean of 105 and a standard deviation of 10. Using the empirical rule, determine the interval that would represent the middle 95% of the scores of all the games that Jaya bowls.

Answers

Answer: (75, 135)

Step-by-step explanation:

Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.

In this case our mean is 105 and our deviation is 10.

What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.

105 + 10 + 10 + 10 = 135

105 - 10 - 10 - 10 = 75

Answer: (75, 135)

Answer:

Step-by-step explanation:

The answer is 85,125

Can y’all help me quick

Answers

Answer:

It would be around 48 so D

Answer:

D - 48

Step-by-step explanation:

Only Answer Closest... look at where the others are and see where ten is and where the y value would be in the point.

[Exponential] |x|-2|-1|0|1|2| |y|2/9|2/3|2|6|18| When the x-value increases by 1, the y-value ________ (b-value)

Answers

Answer:

[tex]b = 3[/tex]

The value of y triples

Step-by-step explanation:

Given:

[tex]\begin{array}{cccccc}x & {-2} & {-1} & {0} & {1} & {2} \ \\ y & {\frac{2}{9}} & {\frac{2}{3}} & {2} & {6} & {18} \ \end{array}[/tex]

Required

Determine b value

An exponential equation is:

[tex]y = ab^x[/tex]

When [tex]x = 0; y =2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]2 = a * b^0[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

When [tex]x = 2; y = 18[/tex]

So:

[tex]18 = a * b^2[/tex]

Substitute 2 for a

[tex]18 = 2 * b^2[/tex]

Divide by 2

[tex]9 = b^2[/tex]

Take positive square roots of both sides

[tex]3 = b[/tex]

[tex]b = 3[/tex]

Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net
earnings and recorded them in the table shown.
Self-Employment Tax
Net
Earnings, X
Self-Employment
Tax, Y
$0
$0
$15,000
$2,295
$30,000
$4,590
$45,000
$6,885
Which function describes the relationship between x, the amount of net earnings, and y, the self-employment tax?
1-12
5
10
11
13
14 15 16 17
Back
Review/End
Next

Answers

Answer:

y=153/1000x

Step-by-step explanation:

Answer:y=153/1000x

Step-by-step explanation:

write the coordinates for the center of the hyperbola

Answers

Answer:

(-1 , 2)

Step-by-step explanation:

Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)

Answers

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

need help this is geometry will mark brainliest!!

Answers

Answer:

37.7 (approx.)

Step-by-step explanation:

The radius of the biggest circle is 3+2=5. And so the area is [tex]\pi (5)^2 = 78.54[/tex]. In the same way, the area of the two small circles are [tex]\pi (3)^2 = 28.27[/tex] and [tex]\pi (2)^2 = 12.57[/tex]

So, the area of shaded region = Area of the biggest circle - (area of small two circles)

[tex]= 78.54 - (28.27 + 12.57)\\37.7 (approx.)[/tex]

Help please and thankyou :)

Answers

Answer:

1/2

Step-by-step explanation:

As you probably know 10 is double the size/amount of 5, but instead of just putting 2 you would put 1/2. That is because it is a scale factor of a scale drawing, which is not the same size and is supposed to be smaller because you can't draw a house on a paper that would fit it literally ;)

Hope this helps!

help plz if u tell ill give u 5 stars and a like plz hurry plz

Answers

The answer is D = x+2y= 10
-4x-y=2

I need help on this homework

Answers

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Write the following expression in decimal notation: 234 x 109.

Answers

234x10^9
=2.34x10^11

which fractions are less than 1/2.MORE THAN ONE ANSWER

Answers

Answer:

3/8

Step-by-step explanation:

please be as soon as possible.

Answers

Answer:

Really?

Step-by-step explanation:

Answer:

Ik

Step-by-step explanation:

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