Answers
Answer:
b) The slope of line is 20
c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
d) i) she would have travelled 1480 m after 74 s
ii) It will take 125 s to travel 2.5 km
Step-by-step explanation:
Part b: Slope of Line
Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we can take any two points and find the slope.
Looking at the graph, the time is x-axis and distance is y-axis
Let we take (0,0) and (8,160)
So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]
Now finding Slope:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]
So, the slope of line is 20
Part c) Find the equation in slope-intercept form
The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept
We have found slope, m = 20
We need to find y-intercept.
y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:
So, when x =0, y=0
So, y-intercept = 0
The equation will be:
[tex]y=mx+b\\y=20x+0\\y=20x[/tex]
The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]
Part d)
Part i) How far will she have travelled after 74 s
We are given time (x) = 74 s
We need to find distance i.e. y:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Put x = 74
[tex]y=20x\\y=20(74)\\y=1480[/tex]
So, she would have travelled 1480 m after 74 s
Part ii) How long will it take to travel 2.5 km
We are given distance (y) = 2.5 km
We need to find time i.e. x:
Using the equation: [tex]\mathbf{y=20x}[/tex]
Since distance is given in meters but here it is in km
So converting 2.5 km into m
We know that 1 km = 1000m
So, 2.5 km = 2500 m
Now finding time:
[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]
So, It will take 125 s to travel 2.5 km
Related Questions
favorite food pizza35 hotdog30 hamburger 200 whta percatage is all student's count
Answers
Answer:
265
Step-by-step explanation:
200+30=230
230+30=260
260+5=265
Help pls. Thank you
Answers
Answer:
[tex]\frac{1}{3}[/tex] feet
Step-by-step explanation:
The area of a rectangle is represented by the formula [tex]A = l[/tex] ×[tex]w[/tex], in which [tex]A[/tex] is the area, [tex]l[/tex] is the length, and [tex]w[/tex] is width.
Let's put in what we already know into the formula. We know that the area is [tex]\frac{5}{18}[/tex], so let's substitute that for [tex]A[/tex]. We know that the length is [tex]\frac{5}{6}[/tex], so let's substitute that for [tex]l[/tex]. This gives an equation that looks like this:
[tex]\frac{5}{18} = \frac{5}{6}[/tex] × [tex]w[/tex]
To find the width, all we need to do know is isolate [tex]w[/tex]:
[tex]w = \frac{5}{18}[/tex] × [tex]\frac{6}{5}[/tex]
[tex]w = \frac{30}{90}[/tex]
[tex]w = \frac{1}{3}[/tex]
Thus, the width is [tex]\frac{1}{3}[/tex].
SOMEONE PLEASE HELP ME WITH THIS
Answers
Answer:
b
Step-by-step explanation:
I think its b I'm not sure but let me know if its wrong so I can improve
The measure of an arc is 95°. What is the measure of an inscribed angle that intercepts it?
Answers
It could be 190 because its a half measure
Rebecca bought candy boxes in the shape of a square pyramid to use for party favors. The side length of each box is 3.6 inches, and the height is 4 inches. Rebecca wants to fill each box with 20 pieces of candy. If each piece of candy is 0.8 in.³, will Rebecca be able to fit 20 pieces of candy into each candy box?
Answers
Answer:
Yes maybe.
Step-by-step explanation:
Well basically if we find the volume of 20 pieces of candy in all, that would be= 20*0.8= 16 cu.inches
And then if we find the volume of the square based pyramid, that would certainly be= 3.6*3.6*4 that is 51.84
Then lastly, if we do, 51.84 ÷16 the final answer will be 3.24. Which might actually be the answer as the pieces of candy certainly can't pass the limit 20 according to me.
Malcolm is filling bags with rice. He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pound of rice. How many bags of rice can malcolm fill??
Answers
Answer:
part 1: Divide 5 1/4 pound by 5/8 pound
part 2: 8 bags
part 3: 2/5 of another bag
Step-by-step explanation:
total number of bags that can be filled equals total rice divided by the amount of rice per bag
=5 1/4 divided by 5/8
=(21/4)/(5/8) turn the mixed number into improper fraction
=(42/8)(5/8) common denominator
=42/5
=8.4 bags, but can only fully fill 8 bags
2/8 pounds of rice are left over after filling 8 bags, and 2/8 pounds is equal to
2/5 of another bag
(2/8)/(5/8)
=2/5 simplify
=
14
,
⇒
the length of each leg
=
14
√
2
=
7
√
2
Check :
(
7
√
2
)
2
+
(
7
√
2
)
2
=
196
=
14
2
(OK)
Calculate the total to be repaid on a loan of $4600.00 for 18 months at a
rate of 5%.
Answers
Answer:
$4945
Step-by-step explanation:
the interest on the loan can be found by using this formula:
I = P · r · t P = principal, r = interest rate, t= time (in years)
I = 4600(.05)(1.5)
I = 345
Total Amount = Principal plus Interest
Total Amount = 4600 + 345 = $4945
If two radio stations start conmercials at 10am, when will the stations have commercials at the same time? One station plays every 12 minutes the other every 8 minutes.
Answers
Answer: If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
Step-by-step explanation:
Given: One station plays every 12 minutes the other every 8 minutes.
The minimum time at which both stations have commercials = lcm (12 and 8 )
12 = 2 x 2 x 3
8 = 2 x 2 x 2
LCM( 12 and 8)= 2 x 2 x 2 x 3 = 24
The minimum time at which both stations have commercials = 24 minutes
If two radio stations start commercials at 10 AM , then at 10:24 AM the stations will have commercials.
You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest Your friend's account earns 4% simple annual interest. How long does it take for you to earn $20 in interest? How long does it take for your friend to earn $20 in interest?
Answers
Answer:
The answers are 20 years for myself and 10 years for your friend
Step-by-step explanation:
I need help on how to write the whole format out but those are definitely the right answers.
please answer i will give brainliest
Answers
Answer:
B
Step-by-step explanation:
The rate at Randy's store is 1 gallon of gas for $3
The rate at Sarah's store is 1 gallon of gas for $2.80
So, Randy's store is more expensive.
11. The price of a bottle of water at a store decreases from $1.65 to $1.40. Rounded to the nearest
tenth of a percent, what is the percent decrease in the price of the bottle of water?
A. 15.2%
B. 17.9%
C. 45.9%
D. 54.1%
Answers
Answer:
A. 15.2%
Step-by-step explanation:
Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.
[tex]1.65-1.40=0.25[/tex]
The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.
[tex]0.25/1.65=0.152[/tex]
And then move the decimal place over two spots (multiply by 100)
15.2
Percent decrease in the price of the bottle of water is 15.2% (Approx.)
Given that;Older price of bottle = $1.65
New price of bottle = $1.40
Find:Percent decrease in the price of the bottle of water
Computation:Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100
Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100
Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100
Percent decrease in the price of the bottle of water = 15.2% (Approx.)
Learn more:https://brainly.com/question/10156335?referrer=searchResults
1. Which describes the transformation shown below? PLS HURRY HELP!!!
A. Reflection over the y-axis
B. Rotation 270° clockwise
C. Rotation 90 ° clockwise
D. Translation left
Answers
Answer:
C because i had this before and got it right
Its substitution, and rearrangement you have to find x
y = 3x + 7 5x - 2y = -10
Answers
Answer:
Step-by-step explanation: I dont know actually
Find the product. Please
Answers
Thank me by clicking the ❤️. Thanks!
pls help this is for math class
Answers
Answer:
40
Step-by-step explanation:
i am not very good at explaining things but i am very good at math but i do hope this helps
anyone tryna help -10-3(7-x)
Answers
-10-3(7-x)=
answer: -31+3x that's what he gave me I hope I have helped you.
A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.
Answers
Answer: 6.5 hours
Step-by-step explanation:
From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:
= 75 / 1.5
= 50 miles per hour
The number of hours that the truck will use to travel 325 miles will be:
= 325/50
= 6.5 hours
brainly and points :)
Answers
Answer:
[tex]\mathrm{B.\:}408\:\mathrm{ft^2}[/tex]
Step-by-step explanation:
The total surface area of this pyramid consists of four triangles and a square. We can add the area of each to find the total surface area:
[tex]4\cdot \frac{1}{2}\cdot11\cdot12+12^2=\fbox{$408\:\mathrm{ft^2}$}[/tex].
Frank made $80 for 5 hours of work,
At the same rate, how much would he make for 17 hours of work?
Answers
Answer:
$272
Step-by-step explanation:
We're going to make an equation
we'll make x hours
5x=80
solve for x and you get 16 dollars an hour
16 times 17 is 272
PLEASE ANSWER QUICKLY!
Answers
Answer:
x = -9 Its B
Step-by-step explanation:
Because it can go both ways either + or -
Answer:
d
Step-by-step explanation:
b/c |-9|+10=19 |9|+10=19 |0|+10=10
Original price of a camera: $649.50
Discount: 40%
What’s the selling price
Answers
Answer: The price of the cámara will be $389.7.
Step-by-step explanation:
It's due today pls help me out
Answers
Answer: 6(5w+2)
Step-by-step explanation: Factor 30w+12
A satellite flies 122070miles in 15.65hours. How many miles has it flown in 18.02 hours?
Answers
Answer:
answer
Step-by-step explanation:
Find the slope each line.
5)
Answers
Answer:
y=-3/4x + 2
Step-by-step explanation:
Since you already picked up the 2 points in the line, all we have to do is count the number of squares for the rise/run
To get the rise, you go down the first point by -3 (since you are moving down its negative 3) then for the run, you go right by 4 (Since you are moving right you get positive 4)
rise = -3
run = +4
y=mx+b
y = -3/4x + b
Now to find the y intercept, which is "b" in the equation above, you just look at the graph and find out where the y intercept is, in this case, I'd say its about 2.
y = -3/4x + 2
hurry please i’m taking a test!!!
Answers
Step-by-step explanation:
Since triangles ABC and DEF are congruent,
Angle D = Angle A.
=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.
Also side EF = side BC.
=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.
Answer: Y = 35, X = 27.8
Step-by-step explanation:
First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.
Maria deposited her pay check of $301.86 into her savings account that already had $123.16. She then withdrew $60.00 for her weekly pocket money and went food shopping where she spent $153.44. She also paid off her outstanding loan of $220.00. What is her new balance?
Answers
Answer:
-8.42
Step-by-step explanation:
slope , m = 3 .y -intercept , b =7
Answers
Answer:
The slope is 3 and the y-intercept is 7. The equation of the line is 3y - 7.
Step-by-step explanation:
The equation of the line works such that y = mx + b where m is the slope and b is the y-intercept. Thus,
slope = m
= 3
y-intercept = b
= 7
There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)
A) 35 B) 30 C) 16 D) 17
please show how
Answers
Answer:
Answer: 35
Step-by-step explanation:
five out of every eight are carrying suitcases, so muiltiply 5/8 times 56 to get 35
pls help i suck at math
what does x= for number 9 and 12
Answers
Answer:
9. 1/7
12. 16.85
How do I solve this ?
x - 7 > - 11
Answers
Answer: 77
Step-by-step explanation:
Multiply both sides of the equation by
Simplify both sides of the equation.
x = 77
Answer:
[tex]x - 7 > - 11 \\ x > 7 - 11 \\ \boxed{x > - 4}[/tex]
x>-4 is the right answer.