Here are recipes for two mixtures of salt and water that taste different. Mixture A: salt (teaspoons) water (cups) 4 5 7 8 3/4 9 11 1/4 Mixture B is defined by the equation y=2.5x , where x is the number of teaspoons of salt and y is the number of cups of water. Respond to the following questions: 1. If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. 2. Which mixture tastes saltier? Explain how you know.

Answers

Answer 1

Answer:

1.) Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2.) Mixture A

Step-by-step explanation:

Given the daya:

MIXTURE A

___Salt A(teaspoons _____water (Cups)

___4 _____________5

___7 _____________8 3/4

___9 _____________ 11 1/4

Mixture B is defined by the equation'

y = 2.5x ;

x = number of teaspoons of salt ;

y = number of cups of water

Respond to the following questions:

1.) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning.

For mixture B:

If number of cups of water, y = 10

y = 2.5x ; 10 = 2.5x

10/2.5 = x

x = 4 ; 4 teaspoons of salt

Let's write an equation in terms of y and x to represent mixture A.

Mixture A:

5 = k4

k = 5/4

k = 1.25

Equation for mixture A:

y = 1.25x

10 = 1.25x

10/1.25 = x

x = 8 ; 8 teaspoons of salt

Mixture A will use more salt.

Mixture A will require 4 more spoons of salt than mixture B of 10 cups of water is used.

2. Which mixture tastes saltier? Explain how you know.

Mixture A is saltier as it makes use of more teaspoons of salt for the same amount of water.

Answer 2

1. Mixture A will use 4 more teaspoon of salt

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Recall:

A proportionate relation is defined by the formula: y = kxk is the constant of proportionality or unit rate between two variables.

From the information given:

x = quantity of salt (teaspoons)y = quantity of water (cups)

Therefore, k = y/x

Equation for mixture B is given as: y = 2.5x

Using a pair of values from the table for mixture A, let's find the constant of proportionality and the equation that defines Mixture A.

Using (4, 5):

k = y/4 = 5/4 = 1.25

Thus, substitute k = 1.25 into y = kx

Equation for Mixture A is: y = 1.25x

1. Let's find the mixture that will have more salt if y = 10 (cups of water).

Substitute y = 10 in each equation that defines each mixtures

Mixture A: y = 1.25x

10 = 1.25x

Divide both sides by 1.25

8 = x

x = 8

Amount of salt you will have in mixture A is you use 10 cups of water is 8 teaspoons

Mixture B: y = 2.5x

10 = 2.5x

Divide both sides by 2.5

4 = x

x = 4

Amount of salt you will have in mixture A is you use 10 cups of water is 4 teaspoons

Thus, Mixture A will use 4 more teaspoon of salt.

2. The mixture that makes use of more teaspoon of salt (4 teaspoon) for the same quantity of water (10 cups) will taste saltier, which is: Mixture A.

Learn more here:

https://brainly.com/question/25211140


Related Questions

I need help fast
help me please​

Answers

Answer:

f(2) = -5

Step-by-step explanation:

f(2) means that x = 2.

We are trying to find the y-value when x = 2.

When x = 2, we see from the graph that our y-values is equal to -5.

Therefore, f(2) = -5

The number of ferryboat trips f(c), needed to transport c cars in 1 day can be found using the function f(c) = c/20 To transport the maximum 1000 cars, the ferry makes 125 daily trips, What is the range of the function?

Answers

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!

I need to write a proportion to the following problem:

3 folders cost $2.91. What written proportion would help determine the cost of 2 folders?​

Answers

Answer:

The cost of two folder is $ 1.94

Solution:

Given that 3 folders cost $ 2.91

We have to determine the cost of 2 folder

From given,

Cost of 3 folder = $ 2.91

 

To find the cost of 1 folder, divide 2.91 by 3

Thus cost of 1 folder is $ 0.97

We are asked to find cost of two folders.

Therefore, multiply cost of 1 folder by 2

Thus cost of two folder is $ 1.94

a car travels 180 miles in 3 hours what is the rate of it

Answers

Answer:

60mph

Step-by-step explanation:

60 mph.



if you divide 180 by 3 hours,
your answer should be 60 mph.

Please help me I need it right now

Answers

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps. i remember doing this.

Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation

Answers

Let:
T=age of Tina
Y= age of Tom
Work:
Y=5+T
T=28 yrs
Y=23
I’ll let I find the equation:)

please help and answer properly

Answers

Answer:

6. Ethan should shade the region marked B

7. No, point (0, 4) will not be included in the solution set

8. Point (0, -2) will not be included in the solution set

Step-by-step explanation:

Let us explain how to solve the question

The graph represents the equation 2x - 5y = 10

The inequality is 2x - 5y > 10

The sign of inequality is greater than without equal, that means the line represents it must be a dotted line because all the points on the line do not belong to the solution set of the inequality.

To find the area of the solution you must put y on a side and the other term on the other side

∵ 2x - 5y > 10

→ Add 5y to both sides to move y in the other side

∴ 2x - 5y + 5y > 10 + 5y

∴ 2x > 10 + 5y

→ Subtract 10 from both sides to move 10 to the other side

∵ 2x - 10 > 10 - 10 + 5y

∴ 2x - 10 > 5y

→ That means 5y < 2x - 10

5y < 2x - 10

6.

→ y < that means the area of the solutions is under the line

∴ The solutions of the inequality lie in area B

Ethan should shade the region marked B

7.

∵ Point (0, 4) lies above the line in the region marked A

→ That means it does not lie in the area of the solutions

Point (0, 4) will not be included in the solution set

8.

∵ Point (0, -2) lies on the line

∵ All the point on the line did not belong to the solution set as we

  said before

Point (0, -2) will not be included in the solution set

What’s another name for plane P?

Answers

Answer:

trapezium maybe

Step-by-step explanation:

plzz mark me brainliest, need it to level up

Is there a proportional relationship between x and y?
5
10
6
9
2
Cans of Paint (x)
Bird Houses Painted (y)
15
30
18
27
6
Yes, k =2
Yes, k=3
No

Answers

Answer:

Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn

Yes K=3 bc
3 times 5 is 15
3 times 10 is 30
3 times 6 is 18
3 times 9 is 27
And 3 times 2 is 6

A 2-column table with 5 rows. Column 1 is labeled Key Words with entries three, times, the difference of, nine, a number. Column 2 is labeled Replace With entries 3, times (minus), 9, h.
Write and evaluate the expression. Then, complete the statement.



three times the difference of nine and a number



Write and evaluate the expression. Then, complete the statement.

three times the difference of nine and a number

The value of the expression when h = 5 is ????

Answers

Answer:

12

Step-by-step explanation:

3(9-h) is the equation used for this problem h=5

9-5=4    3x4=12

hope this helps!

Please help ASAP!! Will give brainliest if right

If DF ≈ DG, find mD.

A. 34°
B. 46°
C. 67°
D. 134°

Answers

Answer:

C : 67°

Step-by-step explanation:

The angles are equal to each other therefore they would all be the same measurement which is 67°

Hope this helps

Answer:

The answer is C.

Hope this helps

if 2m-6=8m them 3m= what​

Answers

Answer:

C. -3

Step-by-step explanation:

First, you would subtract 2m on both sides in the first equation, to get 6m = -6. Since you wan to find 3m, just divide -6 by 2 to get -3.

Yeahhhhhhh It is -3.

A federal government agency that is responsible for setting vehicle fuel economy standards for automobile manufacturers is conducting research in order to update its fuel economy standards for the year 2030. Automobile​ manufacturers, and​ consumers, are highly interested in what the​ agency's findings and determinations will be as this will affect every vehicle in the United States. The federal government agency is very interested in the relationship between the weight of a vehicle and the​ vehicle's fuel economy​(average miles per gallon​ (MPG)). Specifically, the agency is concerned that if the current trend of automobile manufacturers producing heavier new vehicles continues that its fuel economy targets will not be met. The​ agency's research department recently collected data for analysis in order to support the​ agency's upcoming discussion with industry regarding its proposed 2030 fuel economy standards. The average MPG from a random sample of 750 vehicles was recently calculated by the agency. The research division also collected the vehicle weight of these 750 randomly sampled vehicles. The Vehicle​ Number, Type, Vehicle​ Weight, Average​ MPG, Fuel Tank Size​ (Gallons), Engine Size​ (Liters), and Meet or Not Meet Current Standards data were collected for these 750 vehicles.
Which of the following most closely describes the method of data collection​ used?
a. Anecdote
b. Controlled experiment
c. Observational study

Answers

Answer:

Controlled experiment

The method of data collection used by the federal government agency is controlled experiment.

What is Controlled Experiment?

A controlled experiment can be defined as an experiment under which an independent variable is constantly manipulated in order to evaluate its effects on other dependent variables.

The experiment conducted on 750 vehicles by federal government agency to determine the relationship between weight of the vehicle and its fuel economy  is a controlled experiment since the effects of weight of vehicles is observed on their fuel economy, other things remaining constant.

The fuel economy changes with the change in weight of the vehicle. The vehicle weight therefore affects the fuel economy or average MPG of the vehicle.

Therefore the method of data collection used is controlled experiment.

Learn more about controlled experiment here:

https://brainly.com/question/4444046

Find the distance and midpoint for the points (3,4) and (19, 16).
The distance is
The midpoint is a (, )

Answers

Given parameters:

   Coordinates of the points =  (3,4) and (19, 16)

Unknown:

The distance between the points = ?

The midpoint  = ?

Solution:

  The distance between two points can be mathematically solved using;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

 where  x₁  = 3, x₂  = 19  and y₁  = 4, y₂  = 16

Input the parameters and solve;

   D  = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex]   = 20

Midpoint;

    The expression is given as;

     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2}[/tex]  , [tex]\frac{y_{1} + y_{2} }{2}[/tex]

         input the parameters and solve;

                   = [tex]\frac{3 + 19}{2}[/tex]  , [tex]\frac{4 + 16}{2}[/tex]

                   = 11 , 10

The midpoint is (11, 10)

 


Mary drives for Uber. Uber charges a $3 flat rate plus $0.30 per mile driven.
What is the CONSTANT here? *
(1 Point)
$3
Uber
$0.30
$3.30

Answers

Answer:

$3.00 is the constant

Step-by-step explanation:

let x be the mile driven then

total charge=$3.00+[x($0.30)]

PLEASE HELPPPPPPP THIS IS SO HARDDDDD

Answers

Add all the assets and subtract them with the liabilities

Naron is 3 times older than his sister. In 2 years, Naron will be twice as old as his sister. How old is each now?

Answers

Answer:

A possible answer is that Naron is 6 yrs old and his sister is 2 yrs old.

Step-by-step explanation:

6 is 3 times as much as 2

(6+2)/2=2+2

8/2=4

Answer:

Naron is 6 years old and his sister is 2 years old

Step-by-step explanation:

Which type of line of symmetry does the figure have?

Answers

Answer:vertical

Step-by-step explanation:

PLZ HELP
Explain how to multiply mixed numbers.

Answers

Step-by-step explanation:

Change each number to an improper fraction.

Simplify if possible.

Multiply the numerators and then the denominators.

Put answer in lowest terms.

Check to be sure the answer makes sense.

n Over 33 = 4 Over 11
a. n = 90 and three-fourths
c. n = 1 and one-third
b. n = 16
d. n = 12

Answers

Answer:

d. n = 12

Step-by-step explanation:

n/33 = 4/11

cross-multiply:

11n = 132

divide both sides by 11:

n = 12

not sure need help ​

Answers

Answer:

9^8

43046721

Step-by-step explanation:

Nvm it’s Alrwasy answered

Bruce walks 2/3mile in 1 .4hour. What is his speed in miles per hour? Show your work.

Answers

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.  

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

Is this equation correct? 63 ⋅ 73 = 423



Yes; 63 • 73 is equal to (6 • 7)3 or 423.



Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).



No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).



No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.

Answers

Answer: Yes; 63 • 73 is equal to (6 • 7)3 or 423.

Step-by-step explanation:This is the answer because if you multiply the 6 and 7 you get 42 and you leave the exponent which in this case is 3 leaving you with 42^3

please help! i will give brainliest!

Answers

Answer:

2,2

-10

that's the answer to both of them

How to round 86.415 to the nearest whole number end point

Answers

You would round this number by rounding each number (until the whole number) from right to left. So it would change from 86.415>86.42>86.4>87.

Hope this helps, if not, comment below please!!!

Answer:

86

Step-by-step explanation:

I'm not completely sure what this question is asking for. But if you want to round 86.415 to the nearest whole number, it would be 86, since any number less than 5 you would round down, and the 4 in the tenths place is less than 5.

Devante invests $4000 in two different accounts. The first account paid 6 %, the second account paid 11 % in interest. At the end of the first year he had earned $320 in interest. How much was in each account?

$
at 6 %

$
at 11 %

Answers

Answer:

Let x represent the amount of $ in the 4% account and y in the 2% account.

Then x + y = $4000 (total savings).

Interest at 4% would be  x*0.04*1 = 0.04x, and

Interest at 2% would be  y*0.02*1 = 0.02y.

Then 0.04x + 0.02y = $140 interest, total.  

We must solve this system of linear equations.

Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:

4x + 2y = $14000       We already know that x + y = $4000, so y = $4000-x.

Then  4x + 2y = $14000 becomes  4x + 2($4000-X) = $56000.

Simplifying,                                     4x + $8000 - 2x = 14000.

                                                       2x                      = $6000

                                                         x     =     $3000 at 4%

                                                         y     =      $1000 at 2%

i hope it helps :)

Step-by-step explanation:

A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details

Answers

Answer:

[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]

f(x) = -x? – 10x
Find f(-7)

Answers

Answer:

f(-7) = 21

Step-by-step explanation:

f(-7)= - (-7)^2 - 10 (-7) = 21

3g + 5 = 7g + 4 asap and please show work!!!!

Answers

0.25 is the answer which is the same as 1/4 just as a decimal

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

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

https://brainly.com/question/545403

#SPJ2

PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!

Answers

Answer: x = 13

Step-by-step explanation:

They are equal so set them equal and solve for x.

(4x+1) = 53

4x = 52

x = 13

Answer:

Since the lines l and m are parallel,

angle (4x + 1) and angle 53 are both corresponding angles

We know that corresponding angles are equal, so:

4x + 1 = 53

4x = 52

x = 13

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