[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]
Jack rides in a motorboat against a river current for 36 km. Then he returns to his starting point by floating down river on a raft. Tommy travels 9 hours less on the motorboat than on the raft. Find the speed of the river current if the speed of the motorboat in still water is 15 km/h.
Answer:
3 km/h
Step-by-step explanation:
You want to know the speed of the river current if floating 36 km downstream takes 9 h longer than the trip upstream in a boat with a speed relative to the current of 15 km/h.
TimeThe relation between time, speed, and distance is ...
time = distance / speed
If c represents the speed of the current, then 15-c is the speed upstream. The relation between the travel times is ...
36/(15 -c) = 36/c -9
SolutionMultiplying by c(15-c), we have ...
36c = 36(15 -c) -9(c)(15-c) . . . . . . . multiply by c(15-c)
36c = 540 -36c -135c +9c² . . . . . eliminate parentheses
9c² -207c +540 = 0 . . . . . . . collect terms
c² -23c +60 = 0 . . . . . . . . divide by 9
(c -20)(c -3) = 0 . . . . values that make the factors zero are c=20, c=3
The speed of the current is 3 km/h.
__
Additional comment
The speed of the current cannot be greater than 15 km/h, or the boat could not go upstream. The speed of the current cannot be greater than 4 km/h, or the trip downstream would take less than 9 hours.
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What value of x makes a true equivalent fraction statement. 3/x = 27/54
3/x=27/54
or,x×27=3×54
or,27x=162
or,x=162/27
or,x=6
Hope you will give me brainliest
johnny is making 30 sundaes with mint, chocolate, and vanilla ice cream. 3 5 of the sundaes are mint ice cream and 1 2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
35.99 divided by 15.6
Answer:
around 2.31
Step-by-step explanation:
because you will get 2.307 if you put it in a calculator then you can round it to 2.31
The total area of a picture frame, including
the glass and 1.5-inch wide wooden frame, is
238 square inches. If the frame is 17 inches
tall, what are the dimensions of the maximum
picture size that will fit in the frame?
The dimensions of the picture size to fit in the frame are 14 inches by 11 inches.
How tall can the picture be?It is known the frame is 17 inches tall but this includes 1.5 inches of the wooden frame. This means that 3 inches of the frame (1.5 inches x 2) do not count for the size of the picture.
17 inches - 3 inches = 14 inches tall.How long can the picture be?We already know the picture can be 14 inches tall and the total area is 238 square inches including the 1.5 wooden frame.
Area = s x sS = Area / sS = 238 / 17 (height including frame)S= 14 inches (length including frame)14 inches - 3 inches = 11 inches.Learn more about inches in: https://brainly.com/question/17533009
What is the measure of each angle of a regular 19-gon? If necessary, round to the
nearest tenth.
[tex]\begin{array}{llll} \textit{sum of all interior}\\ \textit{angles in a regular polygon} \end{array}\\\\ n\theta = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=19 \end{cases}\implies 19\theta =180(19-2) \\\\\\ 19\theta =180(17)\implies 19\theta =3060\implies \theta =\cfrac{3060}{19}\implies \theta \approx 161.1^o[/tex]
The value of each angle for the given regular polygon is 161.05°.
What is a regular polygon?A regular polygon can be defined as a polygon having all of its sides and angles equal to one another. The expression for each angle of a regular polygon is 180(n - 2)/n.
Suppose each angle of the regular polygon be x.
Since the sum of all the interior angles of a regular polygon with n sides is given as 180(n - 2).
As per the given problem the number of sides n = 19.
Then, the following equation can be written as follows,
19x = 180(19 - 2)
=> 19x = 180 × 17
=> x = (180 × 17)/19
= 161.05
Hence, each angle of the given regular polygon with 19 sides is 161.05°.
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The price for a gallon of gas is $4.99 how much is it going to cost for 20 gallons ?
Answer:
if one gallon is 4.99, 20 gallons?
write a ratio to make it easier
gallon : price
1 4.99
20 x
cross multiply,
x = 20 × 4.99
x=99.8
marked price an article is 20% above its cost price. it is sold for rs 1100 at 10% profit find its marked price
Hey there!
Marked price (MP) = 1100 + Cost price (CP) ----(1)
If the watch was sold at discount of 20%, profit = Rs. 400
⇒ Selling price = MP - 20% of MP = 0.8MP
Also, Selling price = CP + 400
⇒ CP + 400 = 0.8MP
Substituting from (1),
⇒ CP + 400 = 0.8(1100 + CP)
⇒ CP + 400 = 880 + 0.8CP
⇒ 0.2CP = 480
⇒ CP = Rs. 2400
∴ To earn a profit of 30%, Selling price = 2400 + 30% of 2400 = 2400 + 720 = Rs. 3120
What is the area of a circle with a diameter of 12 inches?
Step-by-step explanation:
[tex]radius = \frac{12}{2} \\ = 6 \\ area \: of \: circle =\pi \: {r }^{2} \\ = \pi \times {6}^{2} \\ \pi \times 36 \\ = 113.14[/tex]
anss....wer....
Answer:
can be solved in two ways here you go
one is by either by finding r and using the formula
Area = πr²
Or by directly using the formula
Area = 1/4 πd²
Hi Mehta06 heres my question that i told you
Answer:
1. WEA and and TSE
2.WES
3.50
Step-by-step explanation:
the inscribed angles are AWE, AWS, EST
As W is the center, ES is the Diameter
arc AE = 180-AWS
= 180-100
=80 degrees
MARK ME AS BRAINLISTFind the perimeter.
Write your answer as a fraction or as a whole or mixed number.
3 am
1
18
N
zam
No
m
N
3
3
18
m
meters
Answer:
Hope this helps you
Step-by-step explanation:
Thank
A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?
Answer:
A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓
0.5 pounds x 7= 3.5 poundsStep-by-step explanation:
Skye plans to attend a 4-year public university. She will receive $4,300 in scholarships and grants each year, and she will earn $2,100 each year through a work study program.
Including her financial aid, what is Skye’s estimated cost per year? $
Skye’s family will contribute $7,000 each year. How much will Skye need to contribute? $
If Skye currently has $0 in savings, she will need to save $
each month.
If Skye currently has $1,000 in savings, she will need to save $
each month.
If Skye currently has $2,500 in savings, she will need to save $
each month
Answer:
1.95
Step-by-step explanation:
a 5 year lease for a office space states that the annual rent is 62,000 for the first year and will increase by 7% each additional year of the lease. what will the total rent expense (nearest cent) be for the entire 5 year lease?
PLSSS HELPPPPPP
Use substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y
Answer:
[tex]\huge\boxed{\sf y = 4 }[/tex]
Step-by-step explanation:
Given Equations:
x = 3 --------------------(1)
x + y = 7 ---------------(2)
Step 1: Substitute Eq. (1) in (2)
3 + y = 7
Step 2: Subtract 3 to both sides
y = 7 - 3
y = 4
[tex]\rule[225]{225}{2}[/tex]
=
O FRACTIONS
Fraction multiplication
Multiply. Write your answer as a fraction in simplest form.
3 6
Х
4 5
OL
Х
?
Answer:
Perhaps 2/5, if I understand your question.
Step-by-step explanation:
i don't understand the format of your question:
"3 6
Х
4 5
OL
Х
?"
Is this meant to be (3/6)*(4/5) ??
If so:
(3/6)*(4/5) = (12/30)
(12/30) = 6/15
6/1`5 = 2/5
Chrissy has some ribbon in her craft room. She has 3/8 yards of purple ribbon and 1 yard of green ribbon.
Chrissy has a total of 3 yards of ribbon.
How many yards of Chrissy's ribbon are neither purple nor green?
The number of Chrissy's ribbon which are neither purple nor green is 1 5/8 yards
How to calculate Chrissy's ribbon which are neither purple nor green?Purple ribbon = 3/8 yardsGreen ribbon = 1 yardTotal yards of ribbon = 3 yardsRibbon which is neither purple nor green = Total - (purple + green)
= 3 - (3/8 + 1)
= 3 - (1 3/8)
= 3 - 11/8
= (24-11) / 8
= 13/8
= 1 5/8 yards.
Learn more about fraction:
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#5
What is the value of x ? Round to one decimal place if
necessary. If your answer is correct you will see ar
image appear on your screen.
F
Submit
40°
50°
T
✓
D
X
E
Answer:
6
Step-by-step explanation:
because 5 is greater than 4
Can anyone solve this correctly?
Answer:
432
Step-by-step explanation:
Length times width times height
Two spheres have a scale factor of 3:8. The smaller sphere has a volume of 54pi cubic meters. Find the volume of the larger sphere. Write your answer in terms of pi.
Answer:
i dont know i tried really hard im not really good at math to be honest once again sorry
Step-by-step explanation:
Determine the scale factor
LMNO Became HIJK
Answer:
2
Step-by-step explanation:
The scake factor is 2
Answer is 2
what should be subtracted from 8p + 5p to get 6a - 5b ?
Answer:
8p+5p
=13p
=6a-5b procesa
The following two-way table shows the data for the students of two different grades in a school:
Member of Public Library Not Member of Public Library Total
25
3
28
Grade 6
Grade 7
Total
23
7
30
48
10
58
Based on the relative row frequency, the students of which grade are more likely to be members of the public library?
The students of both grades are equally likely to be members of the public library
No conclusion can be drawn about the chances of a student being a member of the public library
How do I right 62% as a decimal
Answer:
0.62
Step-by-step explanation:
=> 62% = 62/100
=> 62/100 = 0.62
Write an expression for the cost per person if five friends share the cost of a dinner equally.
Answer:
Let c=cost of dinner, 5=the # of people, and P=the cost of person
P=C/5
b. P = (1000)/5
P = 200
Step-by-step explanation:
The perimeter of a rectangular field is 322 m.
If the width of the field is 67 m, what is its length?
Answer:
75
Step-by-step explanation:
322 = 2(86) + 2w
322 = 172 + 2w
322-172 = 172 +2w -172
150 = 2w
150/2 = 2w/2
w=75
An equation is shown.
3m • 3 = 3-2
What are the possible values for m and n?
Answer:
n=3m+5
n−2m=3
\hboxsubstitute3m+5forninthesecondequation:
3m+5−2m=3
m+5=3
m=3−5
m=−2
n=3m+5
n=3×(−2)+5
n=−6+5
n=−1
(m,n)=(−2,−1)
The answer is C.
Each pair of shapes below are similar. Solve for each variable. Show all work necessary to justify your answer. 26 11 6 18 X = 21 a = 13 b 11 22
Answer:
x = 21
a= 22
b = 13
Step-by-step explanation:
18 / 6 = 3
3 * 7 =21
20 / 10 = 2
2 * 11 = 22
10 / 20 = 0.5
26 * 0.5 = 13
Which is true [x]>=x or [x]<=x ?
Answer:
[x] ≥ x
Step-by-step explanation:
The absolute value of a number is greater than or equal to itselfTherefore, the correct answer is :⇒ [x] ≥ xWhat is the mean of the numbers 2,6,7,2,2,9
Answer:
4.67
Step-by-step explanation:
You can get this by adding the numbers together and dividing them the numbers of numbers in data set, or like this
2+6+7+2+2+9=28 Then count how many numbers you added.
2.Divide 28 by how many numbers you counted.