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
State if the two triangles are congruent. If so, state how you know.
Answers
Answer: They are congruent, because the angle representers are equal on both triangles
Step-by-step explanation:
Help and explain please?
Answers
Use Pythagorean’s Theorem.
a^2+b^2=c^2
(12)^2+(4)^2=c^2
144+16=c^2
160=c^2
C=square root of 160
A landscaper needs to fill a path measuring 2 feet by 6 feet with patio stones.
The patio stones are ench 1 foot by 2 feet, so the landscaper calculates that she
will need 6 of them,
Before arranging the patio stones, the landscaper wants to look at all of her
options. She cannot cut or overlap the stones, and they all must fit inside the
path area without any gaps. Two possible arrangements of the stones are shown
below. How many different arrangements are there in total?
Answers
Answer:
28
Step-by-step explanation:
You can have 8 1x2 verical in a row,
7 with two horizontals stacked on top of each other.
9 with 4 horizontal tiles,
10 with 6 horizontal tiles,
1 8 horizontal tiles set,
1+7+1+9+10=28
what does y equal?......
Answers
Answer:
37
Step-by-step explanation:
Help! I don’t know if I’m right
Answers
Answer:
B
Step-by-step explanation:
when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².
Select all that apply.
Which of the following represent the rule y = x + 2?
Answers
Answer:
the first option and the 4th option are the answers the other options are wrong
direct and inverse variation
Answers
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answers
Answer:
292.32
Step-by-step explanation:
i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answers
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
Answer the following. a) Find h b) Find x
Answers
Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
Answers
Answer:
B
Step-by-step explanation:
Answer:
$1.89 for 3ft
Step-by-step explanation:
3ft x 12in = 36
36in divided by 1.89 = 19.048
18in divided by 0.89 = 20.225
So, buying $1.89 for 3 ft is the better purchase.
Jordan made a wooden square box. All sides of the wooden are 6 cm. If he wants to increase the length of all sides by 1.6 cm, what will be the perimeter and area of the new box
Answers
Perimeter : 30.4 cm
Area : 57.76 cm^2
Hope it helped!
Answer:
Perimeter: 30.4 cm
Area:57.76
Step-by-step explanation:
6cm+1.6cm=7.6cm
Perimeter:7.6x4
Area:7.6x7.6
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answers
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
6 and 6x are like terms
true or false
Answers
Answer:
False
Step-by-step explanation:
Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.
What is the volume of this cylinder?
8cm
20cm
Answers
Answer:160
Step-by-step explanation:
Answer:
there is no picture but if you make another post with the picture, I will more than gladly answer it :)
Step-by-step explanation:
Can you please help with both? :)
Answers
Answer:
12, 20
Step-by-step explanation:
Don't worry I just know
On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before
Answers
Answer:
its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.
2/3 + 9/12 add fractions with unlike denominators
Answers
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} + \frac{9}{12}[/tex] <-- let's change 2/3 into a fraction that has 12 as the denominator
[tex]\frac{2}{3}[/tex] × 4 <-- multiply both the numerator and the denominator by 4
2 × 4 = 8 <-- new numerator
3 × 4 = 12 <-- new denominator
now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]
[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex] <-- let's change it into a mixed number
17 ÷ 12 = [tex]1\frac{5}{12}[/tex]
Answer: its 17/12
Step-by-step explanation:
Mrs. Wilson tells you that the next test is worth 100 points and contains 38 problems. Multiple-choice questions are worth 2 points each and word problems are worth 5 points. How many of each type of question are there
Answers
Answer:
30 mcq and 8 word problems
plz mark as brainliest
Solve for x, show your work:
3/5 =x/30
Answers
Answer:
[tex]\frac{3}{5} = \frac{18}{30}[/tex]
Step-by-step explanation:
To solve this proportion, we will divide the two given denominators.
Now, we have: 30 ÷ 5 = 6
Next, we will multiply the given numerator by the quotient: 3 × 6 = 18
So, our final proportion will have to be:
[tex]\frac{3}{5} = \frac{18}{30}[/tex]
Answer:
X = 18
Step-by-step explanation:
plz refer to the picture
how many vowels does Dwayne Johnson have in his name
Answers
Answer:
3
Step-by-step explanation:
a, e, and o
Answer:
4 vowels with but he has two o’s
Step-by-step explanation:
A ,y e, o,
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answers
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
February 29th is on Sunday. on what day will the next February 29th be?
Answers
Answer: Friday
Step-by-step explanation:
If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.
First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.
We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.
Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answers
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
please please help!!
Answers
Answer:
108 No explanation needed, mark me brainliest
Answer:
108 is your correct answer
Step-by-step explanation:
A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.
First 3 people get a brainly
Answers
Step-by-step explanation:
what is the unit of measurement for the 1/4, 1/4, and 1/2?
Help meee please.........
Answers
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
The tallest man in the world is about 101 inches tall. The shortest man in the world is about 29 inches tall. How much taller is the tallest man than the shortest man?
Answers
Answer:The tallest man is 72 inches taller than the shortest man.
Step-by-step explanation:
Subtraction:
101in-29in=72inches
Answer:
72 inches taller
Step-by-step explanation:
29in+x=101x=101-29x=72please help! algebra 2
Answers
4. An angle is 50° more than its supplement. Find the angles.
Answers
Answer:
The angles measure [tex]65[/tex]° and [tex]115[/tex]°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for
[tex]x+x+50=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x+50=180[/tex]
[tex]2x+50=180[/tex] (Simplify LHS)
[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]2x=130[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=65[/tex]
Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!