The graph shows a proportional relationship between the number of kilometers traveled by a bicycle (y) and the number of minutes (x).
What is the unit rate, expressed in kilometers per minute?
0.30 km/min
0.33 km/min
3.10 km/min
3.33 km/min
graph with x axis labeled time in minutes and y axis labeled distanced traveled in kilometers. a line starts at the origin 0 comma 0 and runs through the point 40 comma 12
Answers
The unit rate of the bicycle is 0.3 kilometers per minute.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept (initial value of y).
Let y represent the km travelled by the bicycle after x minutes. From the graph using the point (0, 0) and (40, 12), hence:
Unit rate (m) = (12 - 0)/(40 - 0) = 0.3 km/min
The unit rate of the bicycle is 0.3 kilometers per minute.
Find out more on Linear equation at: https://brainly.com/question/14323743
Related Questions
Ollie, a young man with insurance coverage, ends up in the hospital with a broken wrist suffered while playing football with a group of friends. After an X-ray, MRI, doctor visit, orthopedist visit, and cast, he leaves the hospital with a bill for $9,000. He has a $2,000 annual deductible, and this is his first visit to a doctor in this calendar year. He also has a 20% co-pay. The amount that he is responsible for paying is?
Answer choices ↓
nothing since he did not need to stay overnight in the hospital.
$3,400.
only the $2,000 annual deductible.
$1,800.
Answers
Answer: only the $2,000 annual deductible.
$1,800.
Step-by-step explanation:
HELP ME PLZZZZZZZZZZZZZZZ
Answers
Step-by-step explanation:
g(f(x)) = f(x) substituted in g(x)'s function.
g(3x^2 - x - 8) = 3x^2 - x - 8 + 5 = 3x^2 - x - 3.
Look at the picture below <3 please help!
Answers
Answer:
9
Step-by-step explanation:
If 544+366=910 then 910-544=366 explain why the statement is true using numbers,pictures,or words
Answers
Answer:
Down here
Step-by-step explanation:
544 + 366 = 910
910-544 = 366
Reformat the top equation:
544 + 366 = 910366 = 910 - 544910 - 544 = 366Pause:
Notice how the current equation and the second equation are the same. This proves that both equations are the same.
-Chetan K
Explanation:
Geometrically
The attached drawing shows that the sum of 544 and 366 is 910. It also shows you that 366 is the difference between 910 and 544, and that 544 is the difference between 910 and 366.
__
Algebraically
The subtraction property of equality tells you the equal sign in an equation remains valid if the same value is subtracted from both sides of the equation. Other properties of equality and addition can be used to rearrange the equation to the form given in the problem statement.
544 +366 = 910 . . . . . . . . . . . given
544 +366 -544 = 910 -544 . . . . subtract 544 from both sides
544 -544 +366 = 910 -544 . . . . commutative property of addition
0 +366 = 910 -544 . . . . . . . . . . . definition of additive inverse
366 = 910 -544 . . . . . . . . . . . . . . identity element property of addition
910 -544 = 366 . . . . . . . . . . . . . . symmetric property of equality
__
Additional comment
Essentially, every addition equation has two dual subtraction equations. For the given addition equation, they are ...
910 -544 = 366 . . . . . . the one of concern here
910 -366 = 544 . . . . . . the other dual equation
Hi, can someone help with this problem ASAP?
Answers
Answer:
the value of x is 68
Step-by-step explanation:
because the line does change on either of the sides so that makes x the same value as the other side which is 68. forgive me if im wrong.
write an algebraic expression
1. add 2 to k
2. Sam sells P rulers for Y dollars each
3. Difference between 10 and z
Answers
Answer:
1. k + 2 (or other way around, it doesn't matter)
2. PY or P×Y
3. 10 - z
Step-by-step explanation:
1. You are adding here, so you add the two terms together.
2. If we had the amount of rulers and how much they cost, we could multiply to find these. Since we don't, we just leave the two variables to be multiplied.
3. It is asking the difference between two numbers, meaning that you need to subtract. With these types of problems, you always use the first number that appears in the problem to start the expression. For instance, if it had listed z first, then you would have done z - 10.
b) A factor of 30 is chosen at random.
What is the probability, as a decimal, that it is a 2-digit number?
Answers
Answer:
0.375
Step-by-step explanation:
Factors of 30: 1, 2, 3, 5, 6, 10, 15 and 30
three two digit numbers and 8 total so 3/8
What is x in x/5 if the overall total is 20
Answers
Answer:
x/5 =
Step-by-step explanation:
to find this,, you put x / 5 = 20 meaning you need to multiply 20 by 5 to get 100. 100/5 =20
Write and solve an inequality for situation.
1. Karin has $3 to spend in the arcade.
2.
The game she likes costs 50¢ per play.
What are the possible numbers of times
that she can play?
Answers
Answer:
6 times
Step-by-step explanation:
you divide 3.00 by 0.50
The ration of base to height of a parallelogram is 2 : 3. If the area of the parallelogram is 1734 cm2 then find its base and height.
Answers
Answer:
base is 34 cm
height is 51 cm
Step-by-step explanation:
let 3x = height
let 2x = base
1734 = (2x)(3x)
1734 = 6x²
divide each side by 6 to get:
289 = x²
[tex]\sqrt{289}[/tex] = x
17 = x
3(17) = height = 51
2(17) = base = 34
Help please I need an answer for this fast
Answers
Answer:
B 9, -9
Step-by-step explanation:
x^2 - 81 = 0
Add 81 to each side
x^2 = 81
Take the square root of each side
sqrt(x^2) = sqrt(81)
x = ±9
How many cookies did you sell if you sold 320 chocolate cookies and 270 vanilla cookies
Answers
To find total cookies sold add each kind of cookie together.
total = 320 + 270 = 590
answer: 590 total cookies
Answer:
590
Step-by-step explanation:
You must add the two numbers.
320 + 270 = 590
Find the slope of the line graphed below
Answers
Answer: -2/3
Step-by-step explanation:
think rise over run!
rise = 4
run = 6
slope --> rise / run --> 4 / 6 --> 2 / 3
since the slope is going downwards we know it's negative
slope = -2/3
Slope = Rise / Run
---How much the line goes up/down, over how much the line goes left/right
We can find the slope by counting up and over, or by using the slope formula.
Slope Formula = (y2 - y1) / (x2 - x1)
Point 1 = (3, -1)
Point 2 = (-2, 3)
Slope = (3 - - 1) / (-2 - 3)
Slope = (3 + 1) / (-2 - 3)
Slope = 4 / -5
Slope = -4/5
Hope this helps!
Hep helo heloe e dkdnd. E
Answers
Answer:
[tex]Solution,\\Diameter(d)=106yd\\Radius(r)=106yd/2=53yd\\Now,\\Area=\pi r^{2} \\Area=3.14*(53yd)^{2}\\ Area=3.14*2809yd^{2} \\Area=8820.26yd^{2}[/tex]
Step-by-step explanation:
Hope it will help you.
write a number sentence that tells what the model represents
Answers
How do I solve for the variables?
Answers
Answer: To solve a formula for a specific variable means to get that variable by itself with a coefficient of 1 on one side of the equation and all the other variables and constants on the other side.
I don't know if this helps at all
pls help.
Pls quick......
Answers
Answer:
1) 3
2) 1
3) -5
Step-by-step explanation:
The coefficients are the numbers that come before each variable.
The 3 in the first term is in front of the x^2; so the coefficient is 3.
There is no visible number in front of the y in the second term, but there is a y, so we can assume there's at least 1; so the coefficient is 1.
The term in front of x for the third term is -5, so the coefficient is -5.
Answer:
3 2/3 and -5 are the coffecients
Hurry ASAP!!!!! I only need help with number 6 please explain how you get the answer to! The instructions for his equation is: subtract by changing the signs of the subtrahend and combining as in addition!
Answers
Answer:
-ax + 6by + 10
Step-by-step explanation:
(2ax + 3by + 5) - (3ax - 3by - 5)
Subtrahend is the value AFTER the subtraction sign. So in this example the subtrahends enclosed in the 2nd bracket are 3by and 5.
So subtracting by changing the signs of the subtrahends:
= 2ax + 3by + 5 - 3ax + 3by + 5
Collecting like terms:
= 2ax - 3ax + 3by + 3by + 5 + 5
Combining like terms:
= -ax + 6by + 10
Louie ascended 6.75 miles up a mountain. Then he descended 3.4 miles down the mountain.
What is Louie’s location compared to his starting position?
A. 10.15
B. 3.35
C. –3.35
D. –10.15
Answers
Louie’s location compared to his starting position is;
B: 3.35 miles
Calculation of Displacement
We are told that Louie ascended 6.75 miles up a mountain. Thus;
Displacement from present position is +6.75 miles.
Now, we are told that he descended 3.4 miles down the mountain. Thus, his new displacement relative to his original position is;
+6.75 - 3.4 = 3.35 miles
Read more about displacement at; https://brainly.com/question/4931057
Answer:
b
Step-by-step explanation:
cuz i think it is
Does this graph represent a function?
Answers
Answer:
The answer is B.
Step-by-step explanation:
some of the y values are paired with two x-values.
One restaurant sells a family meal for $22 plus $2 per drink.
.
Another restaurant sells a family meal for $25 plus $1.50 per
drink. How many drinks need to be purchased at each
restaurant so the the total cost for a meal and drinks is the
same?
Answers
Answer:
the 2$ resturant needs 11 and the $1.50 needs 16
Step-by-step explanation:
division
Determine if the following sequence is an Arithmetic Sequence. If it is, what would be the 31st term? NOTE: an=a1+(n-1)d
7, 11, 15....
A- 131
B- 127
C- 117
Answers
Answer:
The arithmetic sequence of 31st term is 127.
Step-by-step explanation:
Here's the required formula to find the arithmetic sequence :
[tex]\longrightarrow\pmb{\sf{a_n = a_1 + (n - 1)d}}[/tex]
[tex]\pink\star[/tex] aₙ = nᵗʰ term in the sequence[tex]\pink\star[/tex] a₁ = first term in sequence [tex]\pink\star[/tex] n = number of terms [tex]\pink\star[/tex] d = common differenceSubstituting all the given values in the formula to find the 31st term of arithmetic sequence :
[tex]\leadsto{\sf{ \: \: a_n = a_1 + (n - 1)d}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{31} = 7+ (31- 1)4}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{31} = 7+ (30)4}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{31} = 7+ 30 \times 4}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{31} = 7+ 120}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{31} =127}}[/tex]
[tex] \star \: \: \pink{\underline{\boxed{\sf{\purple{a_{31} =127}}}}}[/tex]
Hence, the arithmetic sequence of 31st term is 127.
[tex]\rule{300}{2.5}[/tex]
I total of 508 tickets are sold for the school play they were either adult tickets or student tickets there were 58 more student tickets sold than adult tickets how many adult tickets were sold?
Answers
Answer:
Adult tickets sold = 225
Student tickets sold = 283
Step-by-step explanation:
Let A = total adult tickets sold
Let S = total student tickets sold
If a total of 508 tickets were sold, then A + S = 508
If there were 58 more student tickets than adult tickets sold, then
S = A + 58
Substitute S = A + 58 into A + S = 508 to find S:
A + (A + 58) = 508
2A + 58 = 508
2A = 508 - 58 = 450
A = 450 ÷ 2 = 225
If A = 225, then using S = A + 58, find S:
S = 225 + 58 = 283
Adult tickets sold = 225
Student tickets sold = 283
if 5 likes of milk weighs 3,5 kg how much does 2litres of milk weighs. the unit rate
Answers
3.5/2.5 = 1.4 kg
What is 2s+3 > 15 it’s a two step inequalities?
Answers
Answer:
s > 6
Step-by-step explanation:
1st step: subtract 3 from each side of the inequality to get:
2s > 12
2nd step: divide each side by 2 to get:
s > 6
which of the following is a type of special triangle
a) 45- 45-90
b ) 25-50-75
c) 60-60-60
d) all of above
Answers
Answer:
A) 45-45-90
Step-by-step explanation:
45-45-90 is a special right triangle.
f(x)=5-4x/15. Find F-1(x)
Answers
Answer:
Substitute f(x)=0
0=5-4x over 15 multiply both sides
0=75-4x move the variable to the left
4x=75 divide both sides
solution x=75 over 4
alternate form is x=18 3 over 4, x=18.75
Step-by-step explanation:
One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42. 50. The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34. 50. Let p represent the cost of one container of popcorn. Let g represent the cost of one granola bar. Which system of equations will solve for p and g? 5 p 4 g = 34. 50. 3 p 6 g = 42. 50. 4 p 5 g = 34. 50. 3 p 6 g = 42. 50. 4 p 5 g = 42. 50. 6 p 3 g = 34. 50. 5 p 4 g = 42. 50. 3 p 6 g = 34. 50.
Answers
The cost of one container of popcorn and granola is $6.5 and $2.5.
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.
The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.
To findThe equation and solution of the equation.
How to get it?Let p represent the cost of one container of popcorn.
Let g represent the cost of one granola bar.
A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.
5p + 4g = 42.50 .....1
The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.
3p + 6g = 34.50 .....2
From Equations 1 and 2, we have
p = 6.5 and g = 2.5
Thus, the cost of one container of popcorn and granola is $6.5 and $2.5.
More about the linear system link is given below.
https://brainly.com/question/20379472
Desk 4
Christopher had $125 in his savings account
to buy a used car. He used the equation
A = 50w + 125 to determine the amount in
his savings, A, after depositing the same
amount in his account every week, W.
• What is the slope of the line?
• What does the slope represent in the
context of the problem?
Answers
Answer:
50; every week he deposits $50
Step-by-step explanation:
the slope in this equation is 50
using the formula y = mx + b with m being the slope we can tell that 50 is where the m is
this means that every week he deposits $50
I need help with 2. And please hurry.
Answers
Answer:
number 8 is the product o hope i got it in time for you
