help plzzz
Find the constant of proportionality for each.
y = 0.2x y/x = 18 y = x/10
m = ____ m = ____ m = ____
The river barge travels 102 miles in 12 hours. Let d represent the distance traveled and t represent the time.
Unit rate: ___________________
Equation: ___________________
A grocery store charges $14 for 20 pounds of bananas. Write an equation that gives the cost, C, of x pounds of bananas.
Equation: ____________
Use the equation to determine how much it would cost Amelia to buy 8 pounds of bananas.
Answer: ____________
Answers
Answer:
Step-by-step explanation:
(a) Find the constant of proportionality:
Answer:
What is constant of proportionality?
Two varying quantities are said to be in a relation if they are connected to each other in a proportion. If they are connected by a constant, this constant c is called constant of proportionality or co-efficient of proportionality.
let 't' be time and 'd' be distance.
At 2 hours, the distance covered is 90 miles 90/2 = 45
At 3 hours, the distance covered is 135 miles 135/3 = 45
and so on...
Hence the constant of proportionality 'c' is 45.
(b) use the constant of proportionality to write a unit rate for the data in the table.
Answer:
Using the data in the table:
rate of the data is the slope of the graph that is distance/time = velocity.
So, the unit rate of the data means the distance covered per unit time that is the distance in miles covered in per hour is equal to the velocity.
For unit rate, we use the largest values of the data which are
time = 6 hours
distance covered = 270 miles
Unit rate = Velocity = 270/6
= 45 miles per hour.
(c) An equation to represent the relationship between time 't' and distance 'd'.
Answer:
Whenever forming a relational equation between two quantities from a table, follow these steps:
Step 1:
Check if the two relations are directly proportional or inversely proportional.
Step 2:
Use a constant of proportionality to transform the relation into an equation.
In our case, Distance covered increases with the time, so it is directly proportional.
distance ∝ time
Using a constant of proportionality 'c', we get the following equation:
d = ct
Checking if the equation satisfies the table:
90 = c*2
135 = c*3
225 = c*5
270 = c*6
c = 45 satisfies the data in equation d = ct hence the equation satisfies the data.
Related Questions
Can you please help me?
Answers
Answer:
Step-by-step explanation:
5
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
help for 10 points :DDDDDDDDDDDDDDDDDDDDDDDDDDDDDD
Answers
Answer: 339 1/2
Step-by-step explanation: To solve, you have to do 48 1/2 x 7, and you will get 339 1/2
Answer:
339 1/2 ounces
Step-by-step explanation:
48.5 x 7= 339.5=339 1/2
Which point is not on the graph of the function y = x + 2?
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Please answer ASAP! I don't know how to do this problem.
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Answer:
the anwser is c
Step-by-step explanation:
to find if median is good add all those # and divided by 18
since the lowest is 22 it is resanable to do 10-20
Can you help meeee pleasE?????
Answers
Answer: supplier a: 30x + 70 y = 4170
Supplier b :25 x + 85y= 4675
Step-by-step explanation:
x = the number of inkjet printers at the company
Y= the number of laser printers
Part b:25x 85y
there are a total of 75 students in the robotics club and the science club the science club has 11 more students than the robotics club how many students in the science club
Answers
Answer:
The Science club has 86 Students
Step-by-step explanation:
75+11=86
Help!!!!
Mrs. Jones wants to paint the back wall of her classroom light blue. If the dimensions of the wall is 20 feet by 12 feet, how much paint will she need to paint her classroom wall? Round to the nearest tenth if necessary.
Answers
Answer:
The total area of the back classroom wall is (20ft x 12ft) = 240ft²
The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².
Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.
Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.
Help please, due tomorrow
Answers
Answer:
The missing top number is 48 and the bottom numbers are 1, 2, 4, 5
Step-by-step explanation:
2 x 24 = 48
96/24 is 4
120/24 = 5
The top row (Inches on airplane) is multiplying the number below it by 4
You end up getting
24,48,96,120
1,2,4,5
Which inequalities would have an open circle when graphed? Check all that apply.
t Less-than-or-equal-to 25
-2.5 Less-than-or-equal-to m
x > 5.4
One-half less-than x
x > 0
Answers
An open circle is used to graph strict inequalities, which means the inequality does not include the value at the boundary. The inequalities that would have an open circle when graphed are:
x > 5.4
One-half less-than x
x > 0
if an inequality states less than OR equal to that means the circle will be closed when graphed
Which of the following equations represents a line perpendicular to y = -3x + 4.5
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So y= 1/3x + 4.5
8 1/8 i need help please
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Answer:
V=a^3
V=8 1/2^3
V=614.125
Step-by-step explanation:
Please help SUBTRACT mixed fractions 100 points
Answers
C
Hope this helps
A teacher randomly selects one student from a group of students. 12 students are wearing a black shirt, 8 are wearing a red shirt, and 8 are wearing a blue shirt. What is the PROBABILITY that the selected student is wearing a BLUE shirt? Enter your answer as a fraction
Answers
8 students are wearing a blue shirt so the probability is 8/28
HELP PLEASE I'M BEING TIMED WILL GIVE BRAINLIEST
Answers
Answer:
Its either A or D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Took the test and got it right!
HELP PLEASE!!
This table represents the number of ounces, u, a kitten grows after w, weeks.
When graphed, all of the points in the table lie on the same line.
What is the slope and y-intercept of the line?
slope=2/3, y-intercept=−0.2
slope=−3/2, y-intercept = 3
slope= 3/2, y-intercept = 3
slope= −2/3, y-intercept=−0.2
Answers
Y intercept is the value of y at x = 0
At x = 0, y = 3
Y intercept is 3
The rate of growth of the cat is positive, meaning thats it gains, not loses, weight.
Option C is the only correct one.
It has a positive slope, and a y intercept of 3
To solve for slope mathematically, pick two points.
(0, 3) (6,12)
(x1, y1) (x2, y2)
or
(x2, y2) (x1, y1)
Pick which one is x1 and y1 and x2 and y2 based on what seems easier to calculate
Slope is equal to \(\frac{y2-y1}{x2-x1}\)
\(\frac{12-3}{6-0}\)
9/6
slope is 3/2
Hope this helps,
Jeron
:)
The equation m = 3b represents the time in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b).
Determine the constant of proportionality.
A. 3
B. 6
C. one third
D. 1
Answers
For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
Answer:
it is 3 since thats the only number there
Solve the equation 7(w + 13) = 35.
I know that it is:
7w + 20 = 35
- 20 - 20
7w/7 = 15/7
But I just don't know what 15 divided by 7 is as a fraction. Some one please help this is due in a week!
Answers
Answer:
w = -8
Step-by-step explanation:
7(w + 13) = 35
Divide each side by 7
7/7(w + 13) = 35/7
w+13 = 5
Subtract 13 from each side
w+13-13 =5-13
w = -8
Or you can distribute
7w +91 = 35
Subtract 91 from each side
7w+91-91 = 35-91
7w = -56
Divide each side by 7
7w/7 = -56/7
w = -8
Answer:
7(w+13)=35 {Here, 7 is wholly multiplied to w and 13}
7w+91=35
7w=35-91= -56
w= \(\frac{-56}{7}\)
w= -8
Proof:
7(-8+13)= -56+91= 35
Therefore, w= -8
A right triangle is drawn on graph paper. The length of the legs measure 1.5 centimeters and 2 centimeters. The length of the hypotenuse measures 2.5 centimeters. Write an equation using the triangle’s side lengths to show the Pythagorean Theorem holds true for the triangle.
Answers
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
In this case, let's denote the lengths of the legs as a = 1.5 centimeters and b = 2 centimeters, and the length of the hypotenuse as c = 2.5 centimeters.
The equation using the triangle's side lengths to show the Pythagorean Theorem holds true for the triangle is:
a^2 + b^2 = c^2
Substituting the given values, we have:
(1.5)^2 + (2)^2 = (2.5)^2
2.25 + 4 = 6.25
6.25 = 6.25
Therefore, the equation holds true, confirming that the Pythagorean Theorem is satisfied for the given right triangle.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
what is squareroot of 122?
Answers
Step-by-step explanation:
it's
√122 or 10√22
_____________________________
9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)
Answers
Answer:
(3/2 m)^2 -(5n)^2^
Step-by-step explanation:
Answer: 9m^2 / 4 - 25n^2
Step-by-step explanation:
Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
The Johnson family buys gasoline at three different gas stations during a car trip.
At the first station, they pay 25.20 for 12 gallons of gas.
At the second station, they pay 19.71 for 9 gallons of gas.
At the third station, they pay 33.12 for 16 gallons of gas.
What is the rate AND the unit rate of the cost per gallon at each station?
Answers
Answer:
The unit rate for the first station is 2.1. The unit rate for the second station is 2.19. The unit rate for the last station is 2.07.
Step-by-step explanation:
25.20 divided by 12 is 2.1
19.71 divided by 9 is 2.19
33.12 divided by 16 is 2.07
Can someone help me out? I’m so confused with this! Thank you!
Answers
Answer:
It is the third option.
Step-by-step explanation:
Use math techniques to solve.
Given, (2 ^ (-3))^7
= 2 ^ (-3 * 7)
= 2 ^ (-21) ⇒ Option (C)
= 1/(2 ^ 21) ⇒ Option (D)
= 1/(2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2)
= 1/(4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 2)
= 1/(16 * 16 * 16 * 16 * 16 * 2)
= 1/(256 * 256 * 32)
= 1/(65536 * 32)
= 1/2097152
So, Option (C) and (D) are correct
Hope my answer helps you✌️
Mark BRAINLIEST
PLEASE HELP if can
(file below)
Answers
Answer: B ,hope it helps!
Four swimmers are training for a relay race. Each day they practice by swimming at least 1,600 yards total. The friends evenly divide the number of yards they swim.
Write and solve an inequality to determine how many yards each friend will swim. Show all your work.
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Step-by-step explanation:
Explain how to decompose a triangle into congruent triangles. How does the area of those decomposed triangles relate to the area of the rectangle?
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please help me with this
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What is the fractional division problem modeled below?
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PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!!
PLEASE SPREAD THE MEASSAGE
btw idk how to answer your math question
HELP PLEASE! Write and solve the equation: The squares are identical. What is the area of each square?
Answers
If a=4:
HOW TO FIND THE AREA
A=4a (formula)A=4*4
A=16
If it's 100:
A=4*100
A=400
Answer:
They are congruent, simple.
Step-by-step explanation: