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.
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 = 1.25Thus, substitute k = 1.25 into y = kxEquation 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 mixturesMixture A: y = 1.25x
10 = 1.25x
Divide both sides by 1.258 = x
x = 8
Amount of salt you will have in mixture A is you use 10 cups of water is 8 teaspoonsMixture B: y = 2.5x
10 = 2.5x
Divide both sides by 2.54 = x
x = 4
Amount of salt you will have in mixture A is you use 10 cups of water is 4 teaspoonsThus, 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.
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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?
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
:)!
PLZ HELP
Explain how to multiply mixed numbers.
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.
please help and answer properly
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
please help! i will give brainliest!
Answer:
2,2
-10
that's the answer to both of them
I need help fast
help me please
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
Please help ASAP!! Will give brainliest if right
If DF ≈ DG, find mD.
A. 34°
B. 46°
C. 67°
D. 134°
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
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
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:
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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
Answer:
Unnnnnnnnnnnnnnnnnnnnnnnnbnbnnnn
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?
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:
Please help me I need it right now
Answer:
X+y=180, Y=Z, X+Z=180
Step-by-step explanation:
Hope this helps. i remember doing this.
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?
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
PLEASE HELPPPPPPP THIS IS SO HARDDDDD
A student evaluated −4 + (−9 12) and got an answer of 5 12. What might the student have done wrong? explain in details
Answer:
[tex]the \: students \: calculation \: was \\ based \:on\: addition \: of \: the \: numbers \\ without \: cosidering \: thier \: nagative \: signs.[/tex]
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 %
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:
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
Answer:
$3.00 is the constant
Step-by-step explanation:
let x be the mile driven then
total charge=$3.00+[x($0.30)]
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.
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
not sure need help
Answer:
9^8
43046721
Step-by-step explanation:
if 2m-6=8m them 3m= what
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.
What’s another name for plane P?
Answer:
trapezium maybe
Step-by-step explanation:
plzz mark me brainliest, need it to level up
n Over 33 = 4 Over 11
a. n = 90 and three-fourths
c. n = 1 and one-third
b. n = 16
d. n = 12
Answer:
d. n = 12
Step-by-step explanation:
n/33 = 4/11
cross-multiply:
11n = 132
divide both sides by 11:
n = 12
Find the distance and midpoint for the points (3,4) and (19, 16).
The distance is
The midpoint is a (, )
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)
PLEASE HELP ILL GIVE BRAINLIEST! IGNORE WHERE IT SAYS 6 POINTS, THATS HOW MUCH ITS WORTH IN THE GRADEBOOK!
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
3g + 5 = 7g + 4 asap and please show work!!!!
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
a car travels 180 miles in 3 hours what is the rate of it
Answer:
60mph
Step-by-step explanation:
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 ????
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!
f(x) = -x? – 10x
Find f(-7)
Answer:
f(-7) = 21
Step-by-step explanation:
f(-7)= - (-7)^2 - 10 (-7) = 21
Which type of line of symmetry does the figure have?
Answer:vertical
Step-by-step explanation:
Tina is five years older than her brother Tom. The sum of their ages is 51 write an equation
Bruce walks 2/3mile in 1 .4hour. What is his speed in miles per hour? Show your work.
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
How to round 86.415 to the nearest whole number end point
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.