What is the constant of proportionality in the equation 2y=6x
The constant of proportionality in the equation 2y = 6x is [tex]\( \frac{1}{3} \)[/tex].
In the equation (2y = 6x), the constant of proportionality represents the relationship between x and y. To isolate it, divide both sides of the equation by (6x):
[tex]\[\frac{2y}{6x} = \frac{6x}{6x}\][/tex]
This simplifies to:
[tex]\[\frac{1}{3} = \frac{y}{x}\][/tex]
So, the constant of proportionality is [tex]\(1/3\)[/tex], indicating that for every unit increase in x, y increases by [tex]\(1/3\)[/tex].
Help!! There are at least 3 slices of bread left in the bag how do I write an inequality for that?
Answer:
I need help on this question too but instead of 3 its 7!!! i also need to write both a inequality and a graph! pls respond as fast as possible.
Step-by-step explanation:
thanks
Brandon sights a helicopter above a building that is 200 feet away at an angle of elevation of 30 degrees. To the nearest foot, How high above the ground the is the helicopter
Find the probability that when a couple has three children, at least one of them is a girl. (Assume that boys and girls are equally likely.)
Final answer:
The probability of having at least one girl when a couple has three children can be found by calculating the probability of having all boys and subtracting it from 1.
Explanation:
Probability that at least one child is a girl:
Find the probability of having all boys: (1/2)³ = 1/8
Subtract this from 1 to get the probability of having at least one girl: 1 - 1/8 = 7/8
What would be the radius of A= 530.66 square meter
4/15 divided by 8/25
This picture shows a feeding trough that is shaped like a right prism 5,4,6. list each face of the feeding trough . What is the surface area of the trough?
Please help
Answer:
Step-by-step explanation:
Write the equation of the function graphed.
a)f(x) = |x + 4|
b)f(x) = |x – 4|
d)f(x) = |x| + 4
d)f(x) = |x| – 4
Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)
Please help fast!
Final answer:
Samantha can pot 8 plants in 1 hour.
Explanation:
To find out how many plants Samantha can pot in 1 hour, we need to determine how many plants she can pot in 1 1/2 hours and then convert that to 1 hour.
If Samantha can pot 12 plants in 1 1/2 hours, we can set up a proportion to find out how many plants she can pot in 1 hour:
12 plants / 1.5 hours = x plants / 1 hour
To solve for x, we can cross multiply:
12 * 1 = 1.5 * x
12 = 1.5x
To isolate x, divide both sides of the equation by 1.5:
x = 12 / 1.5
Simplifying the equation, we get:
x = 8
Therefore, Samantha can pot 8 plants in 1 hour.
help help help !!!!!!!!
Bonds from the city of Denver with a face value of $1,000 each are selling at 110.611. If Sean wishes to purchase three such bonds, how much can he expect to pay?
Answer:
The answer is C-3,318.33
Step-by-step explanation:
just took the test homie
Scott viewed 72 classic cars at a car show.Of the cars he viewed,3/8 were sports cars. How many sports cars did Scott view
If John's car gets an average of 18 mpg and he fills his tank with 26.7 gallons of gas, how far can John travel on a tank of gas?
Answer:
480.6 miles.
Step-by-step explanation:
We have been given that John's car gets an average of 18 mpg. John fills his tank with 26.7 gallons of gas.
To find the distance traveled by John's car, we will multiply the distance covered per gallon by number of gallons in the tank.
[tex]\text{Total distance traveled by John's car}=\frac{18\text{ miles}}{\text{gallon}}\times \text{26.7 gallons}[/tex]
[tex]\text{Total distance traveled by John's car}=18\text{ miles}\times 26.7[/tex]
[tex]\text{Total distance traveled by John's car}=480.6\text{ miles}[/tex]
Therefore, John can travel 480.6 miles on a tank of gas.
Lionel is planning a one-day outing
the sum of the real numbers x and y is 15. their difference is 3. what is the value of xy?
The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given that sum of the x and y is 15
So,
x + y = 15
And difference
x - y = 3
By adding both equations,
2x = 18
x = 9 and y = 6
So their product 9 × 6 = 54.
Hence "The value of xy is such that the sum of the real numbers x and y is 15 and their difference is 3 is 54".
For more about the number system,
https://brainly.com/question/22046046
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What is the slope of a line that is perpendicular to the line shown?
(3, 3) (-3, -1)
Answer:
-3/2
Step-by-step explanation:
The line shown has slope ...
... (y2 -y1)/(x2 -x1) = (-1 -3)/(-3 -3) = -4/-6 = 2/3
The slope of the perpendicular line is the opposite of the reciprocal of this:
... -1/(2/3) = -3/2
if the legs of a right triangle are 8 and 10, find the length of the hypotenuse
Of the four choices given, which two, when written as a system, have a solution of (–4, 5)?
It's A i just took the test.
Does a two-digit number exist such that the digits sum to 9 and when the digits are reversed the resulting number is 9 greater than the original number? Identify the system of equations that models the given scenario. t + u = 9 10t + u = 10u + t – 9 t + u = 9 10t + u = 10u + t t + u = 9 tu = ut + 9
The answer would be "t + u = 9 and 10t + u = 10u + t - 9". This can be found if you replaced t with 4 and u with 5. Adding the 2 digits would give you 9, and using the formula "10t + u = 10u + t - 9". Replace t and u with 4 and 5 then simplify. 10*4 + 5 = 10*5 + 4 - 9. Simplifying you'd get 45 = 54 - 9 or 45 = 45 which make the statement true. Thus making "t + u = 9 and 10t + u = 10u + t - 9" the answer.
I hope this helps!
The equations described in this problem are:
t + u = 9
10t + u = 10u + t - 9
When the two equations are substituted and solved, t = 4 and u = 5.
The original number described in the word problem is 45.
20-3(m-1)=-4 What is m??
Isabella jump rope is 2.03 meters long. Avery jump rope is 0.15 meters shorter than Idabellas jump rope. Measures in meters, what is the length of Averys jump rope?
PLEASE HELP ASAP
Which polynomial is a quintic binomial? 3x^5+2 x^2+4x 5x^2−2x+1 x^4+2x^3−x^2+7x+11
Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?
A number line with a closed circle on 3 and shading to the right
A number line with a closed circle on 3 and shading to the left
3 greater than or equal to x
x less than or equal to 3
Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
[tex]2(x-2)\leq 2[/tex]
Divide both the sides by 2.
[tex]\frac{2(x-2)}{2}\leq \frac{2}{2}[/tex]
[tex](x-2)\leq 1[/tex]
Add 2 on both the sides.
[tex]x-2+2\leq 1+2[/tex]
[tex]x\leq 3[/tex]
The value of x is than or equal to 3. In other words 3 greater than or equal to x.
Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.
Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.
Therefore the correct option is 1.
beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years. How much will she pay altogether?
To find the total payment Beth will make on her car loan, calculate the total cost using the loan formula. Beth will pay a total of $19,890 in total.
Explanation:Beth owes $17,000 on her car loan with a 4.25% interest rate, to be paid off over 4 years. To calculate the total amount she will pay, you use the formula for calculating the total cost of a loan: Total Payment = Principal + (Principal x Interest Rate x Time).
Principal = $17,000Interest Rate = 4.25% = 0.0425Time = 4 years.Plugging in the values:
Total Payment = $17,000 + ($17,000 x 0.0425 x 4)
Beth will pay a total of $17,000 + ($17,000 x 0.0425 x 4) = $17,000 + $2890 = $19,890 altogether.
these are so hard please help me and answer the last 4 I posted
A company pays its commercial agents 5% of any deal. What should the value of a deal be for the agent to earn $2000?
Answer:
The value of the deal should be $40,000.
Step-by-step explanation:
remember that 5% as a decimal is .05.Let x = value of deal
The equation would be .05x = $2000
Divide both sides by 0.05.
x=40,000
Find the sum of 5 smallest consecutive whole numbers.
0+1+2+3+4= 10
that is the answer
Answer:
10
Step-by-step explanation:
The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack price?
I need help I would really thank wheeler answers this for me
Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A= ____°
Answer:
133
Step-by-step explanation:
Given is a cyclic quadrilateral ABCD.
We know that in a cyclic quadrilateral, opposite angles are supplementary.
A+C =180
Given that A = 4x+5 and C = x+15
Add these and equate to 180
[tex]4x+5+x+15 =1805x=180-20 =160x=32A= 4(32)+5 =133[/tex]
Verify:
When x= 32, Angle C = 47
A+C = 133+47 = 180
Hence right answer