Write and graph an equation in two variables that shows the relationship between the time and the distance.
Moves 15 meters in 1 second.
Answers
Answer:
The relation between the time and the distance will be:
y = 15x
The graph of the equation y = 15x is attached below.
Step-by-step explanation:
We know that the equation of linear function in two variables in the slope-intercept form is
y = mx+b
where
m is the rate of change or slope b is the y-interceptLet y be the distance
Let t be the time
Given that the object moves 15 meters in 1 second.
Thus, the rate of change or slope = m = 15
As there is no initial condition in our case.
Thus the y-intercept b = 0
Now, substituting m = 15 and b = 0 in the linear function
y = mx+b
y = 15x + 0
y = 15x
Therefore, the relation between the time and the distance will be:
y = 15x
The graph of the equation y = 15x is attached below.
Examples:
Calculate the distance in 1 second
put x = 1 in the equation
y = 15(1) = 15 meters
Calculate the distance in 10 second
put x = 10 in the equation
y = 15(10) = 150 meters
Related Questions
Lisa has $55 to spend on basketball cards.
NBA pro cards cost $4 each and college
cards cost $2 each. What equation in
standard form determines the number x of
NBA pro cards and the number y of college
cards she can buy?
I need help asap plz
Answers
Answer:
The answer is $55 =$4x * $2y
Step-by-step explanation:
If AC = 52, AB = 8x + 8, and BC = 2x + 4, then the length BC is
Answers
Answer:
12
Step-by-step explanation:
AC = AB + BC
Since we know what each variable equals, we can write out the equation as shown:
52 = 8X + 8 + 2X + 4
Combining like terms:
52 = 10X + 12
Subtract 12 from both sides:
40 = 10X
Divide by 10:
X = 4
Now that we know X, we can figure out BC
BC = 2(4) + 4
BC = 8 + 4
BC = 12
Therefore BC is 12.
(1/2) to the second power time 24.0
Answers
Answer:
6
Step-by-step explanation:
Kevin earned $18 for babysitting 6 hours. Which equation below represents the relationship between dollars earned (d) and hours worked (h)?
1. d = 3h
2. d = 3/h
3. d = h/3
4. d = h + 12
Answers
Answer:
B
Step-by-step explanation:
The answer is B
I did it and got 100%
hope it helped LOL = )
Can you please show you work?
Answers
Answer:
8
Step-by-step explanation:
If you replace x with the given answers, the only one that would make both answers the same is 8
Answer:
8
Step-by-step explanation:
7x - 4 = 5x + 12
7x - 5x - 4 = 5x - 5x + 12
2x - 4 = 12
2x - 4 + 4 = 12 + 4
2x = 16
2x/2 = 16/2
x = 8
h(t) = -16 + 10t
g(-6) =
Answers
Answer:
-6g
Step-by-step explanation:
Please help me with the question
Answers
Answer:
4/5
Step-by-step explanation:
For cosB you do adjacent / hypotenuse so : 12 / 15 and then reduced = 4/5
Find the slope between the points (9,54) and (-5,61)
Answers
Answer:
slope=(Y2-Y1)/(X2-X1)
slope=7/-14= -1/2
please give me brainlest
Plz help.......................
Answers
Answer:
perpendicular
Step-by-step explanation:
4*(-1/4)=-1, so lines are perpendicular
$18 for 3 bracelets; $30 for 5 bracelets
Answers
Step-by-step explanation:
I don't have my wallet on me. Tho could you further explain?
what is the value of | 7 |?
Answers
Answer:
7 the brackets just makes any number in there positive
Step-by-step explanation:
Answer: for pozitive numbers its just the number in this case 7
Step-by-step explanation: if it was | -7 | it wood be 7
Each side length of the parallelogram at the right is multiplied by 4. Describe the change in the parameter. Justify your answer.
Answers
side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
7x + 12 = 6 solve for x
Answers
Answer:
-6/7
Step-by-step explanation:
math
Answer:
[tex]x = - \frac{6}{7} [/tex]
Step-by-step explanation:
7x + 12 = 6
7x = 6 - 12
7x = -6
[tex]x = - \frac{6}{7} [/tex]
Yx÷2;use x=7,and y=2
Answers
Answer:
7
Step-by-step explanation:
yx ÷ 2
(2)(7) ÷ 2
14 ÷ 2
7
What is the volume of this cone -radius 4ft, height of 8?
Answers
Answer:
V= 134.04 ft³
Step-by-step explanation:
PLEASE HELP WITH #7, #8, AND #9
EXTRA POINTS AND I WILL VOTE BRAINLIEST
Answers
Answer:
number 8 is below
Step-by-step explanation:
Let integers be:
x, x + 2 (since they are even)
Hope this helps:)
Solve the problem 7 divided by $6.93
Answers
Answer:
1.01010101 U.S. dollars-1
Step-by-step explanation:
Answer:
$0.99
Step-by-step explanation:
imagine you're in a queue to the airport check-in desk if two-thirds of the queue is in front of you and three tenths of the queue is behind you how many people are in the queue
Answers
3/10 behind x3
20/30 In front
9/30 behind
20/30+9/30= 29/30
30 people are in the queue
Step-by-step explanation:
Let x be the number of people in the queue, including yourself.
We have 2/3 x + 1 + 3/10 x = x.
=> 29/30 x + 1 = x
=> x/30 = 1
=> x = 30.
Hence there are 30 people in the queue.
Here is a table giving the thousands of commuters in Alabama in 2015 by transportation method and one-
way length of commute:
Commute duration (one-way)
Private vehicle
Public transportation
Other
Total
< 15 minutes
498
1
27
526
15-29 minutes
-748
2
8
758
30-44 minutes
387
2
4
393
45-59 minutes
145
1
0
146
> 60 minutes
109
3
3
115
Total
1887
9
42
1938
Find the relative frequency marginal distribution of transportation method.
Round to the nearest whole percent.
Answers
Answer:
526
758
393
146
115
Step-by-step explanation:
The relative frequency for private vehicles is 97%, the relative frequency for public transport is 0 and the relative frequency for others is 2.
What is a relative frequency?It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell by the total frequency.
We know the formula for the relative frequency:
[tex]\rm Rf = \frac{Frequency}{Total \ frequency}[/tex]
From the data given the Rf value for the private vehicle:
[tex]\rm Rf = \frac{1887}{1928} \times100[/tex]
Rf = 0.97×100 = 97%
For public transport:
= 0.005×100
= 0.5
= 0 (whole value)
For other:
= 0.022×100
= 2.2
=2 (whole value)
Thus, the relative frequency for private vehicles is 97%, the relative frequency for public transport is 0 and the relative frequency for others is 2.
Learn more about the relative frequency here:
brainly.com/question/8358304
#SPJ2
help please urgent don't have much points 10 points
Answers
Answer:
Y=70
X=110
Step-by-step explanation:
if the inside of a triangle equals 180, than 70 plus 40 equals 110 which mean Y =70. if a straight line eguals 180 as well 180-70= 110 X= 110
ted can rope a calf in 15 and 30 hundredths of a second randy can rope in his calf in 15 and 5 tenths of a second who was faster?
1. ted
2. randy
Answers
Down the Babbling River
Some family and friends have asked you to plan an end-of-the-summer getaway. A
rafting company has agreed to take your group down the Babbling River. (It's actually a
little smaller than a river, more like a brook.) The rafting company has given you specific
details as to how much weight each raft can hold. A raft can safely carry the weight of 24
babies. As everyone knows, the weight of 12 babies is exactly equal to the weight of 4
kids; the weight of 6 kids is equal to the weight of 3 adults.
What is the fewest number of rafts needed for a trip with 11 adults, 5 kids, and 21
babies?
Answers
Please help this is due today and. I need to get it done fast!!!
I will mark Brainliest if there are multiple answers!!!
These shapes (in the photo attached) are similar. Find the value of x.
Answers
Answer:
x = 16.5
Step-by-step explanation:
The best way to solve this is to use cross multiplication.
[tex]\frac{3}{x} = \frac{4}{22}[/tex]
4 * x = 4x
22 * 3 = 66
Your equation is 66 = 4x.
Divide both sides by 4.
66/4 = 16.5
4x/4 = x.
16.5 = x.
Therefore, your answer is 16.5.
I hope this is helpful!
Andre's dad wants to buy a used car to give to Andre for his birthday. The car costs $7,500 to
purchase and $0.15 per mile for gas and maintenance. After how many miles will the total cost
equal $15,000?
A.
500
B.
1,125
C.
14,333
D.
50,000
[Will give brainliest]
Answers
Answer:
The answer is D
Step-by-step explanation:
50,000 x 0.15 = 7500 and then you add the car cost (7500) it will add up to 15,000$
I will add two pictures for context for this question. I'll give brainliest
Her budget is $65 a month. To find out how many gigabytes of data she could use if she chose this plan, she writes C(x)=65 and solves for x. What value of x makes this equation true?
Remember the function is C(x)=30x+5.
Answers
Answer:
Consider all the info you are given:
The monthly allowance is 2 GB...this is basically how much data is included in the the plan so that the monthly pymt is the same every month. When the GBs used goes pass 2GB...there is a cost to that.
You're given C(x) = 30x + 50, the monthly cost of the plan
'x' is the GB of data used OVER the allowance (2GB.)
They put over in italics to give you a hint to the solution.
(a) C(0.7) is the cost when the data used goes over 2GB by 0.7 GB. C(0.7) = 30(0.7) + 5 = 26
The college student would pay $26 when they use an extra 0.7GBs (pass the allowance.)
(b) This part to the problem wants you to figure out how much the overage, pass the 2GBs, the college student can go and only end up paying $50 (the set budget)
So you the solve for x by setting C(x) = 50
30x + 5 = 50
30x = 50 - 5 = 45
x = 45/30
x = 1.5
Remember x is the overage (the GBs over the allowances), so to stay at budget, the college student can use 3.5 GBs of data (2GBs + 1.5 GBs) only pay $50 that month.
Hope this helps...
16 + ( - 4 1/2 ) show your work
Answers
Answer:
[tex]13 \frac{1}{2}[/tex]
Step-by-step explanation:
[tex]16 + ( - 4 \frac{1}{2} ) = 16 - 4 \frac{1}{2} [/tex]
Higher Order Thinking Lemmy walked 3 1/2 miles on Saturday and miles 4 3/4 on Sunday. Ronnie walked 5 3/8 miles on Saturday. Who walked farther? How much farther?
Answers
Answer:
Lemmy ; 2 7/8 miles
Step-by-step explanation:
Given that :
Distance walked by Lemmy:
Saturday = 3 1/2 miles
Sunday = 4 3/4 miles
Total distance walked by Lemmy:
3 1/2 + 4 3/4
7/2 + 19/4
(14 + 19) / 4
33 / 4
= 8 1/4
Miles walked by Ronnie : 5 3/8
Lemmy walked farther because : 8 1/4 > 5 3/8
Number of distance walked farther than Ronnie :
8 1/4 - 5 3/8
33/4 - 43/8
(66 - 43) / 8
= 23/ 8
= 2 7/8 miles
James is purchasing a new pair of AirPods for $199.99. If the tax rate is 9%, how much will he spend?
Answers
Given:
Price of new AirPods = $199.99
Tax rate = 9%
To find:
How much will he spend?
Solution:
We have,
Price of new AirPods = $199.99
Tax rate = 9%
Tax value = 9% of $199.99
= [tex]\dfrac{9}{100}\times 199.99[/tex]
= [tex]17.9991[/tex]
Now,
Total money spend = Price of AirPods + Tax
= [tex]199.99+17.9991[/tex]
= [tex]217.9891[/tex]
[tex]\approx 217.99[/tex]
Therefore, the total money spend by James is $217.99.
Find the value of y.
26
Answers
Formula: b^2 = c^2 - a^2
y^2 = 26^2 - 18^2
y^2 = 676 - 324
y^2 = 352
Now we are gonna find the square root of both sides.
y^2 (square root) = 352 (square root)
y = 19
Value of y = 18.76 or 19
Which is cheaper? Buying 3 cans of bake beans at 1.50 each or a triple pack for $5
Answers
Answer:
Buying 3 cans individually.
Step-by-step explanation:
If you bought 3 cans for 1.50 it would be 4.50.
If you bought a triple pack it would be 5 dollars.
So 4.50 is less than 5 dollars.
Hope this helps!
Answer:
The 3 cans of beans at 1.50 each would be cheaper than the triple pack for $5.
Step-by-step explanation:
1.50 x 3 = 4.50, which is less than (<) 5.