You are kayaking at a pace of 63 feet every 12 seconds. Your friend's pace is 21 feet every 2 seconds. Are you and your friend kayaking at the same pace? If not, who is faster?

Answers

Answer 1

Answer:

Your friend is kayaking faster.

Step-by-step explanation:

The way to approach this answer is by putting one of them in terms of the other. So that both are in terms of the same time. If you kayak 63 feet in 12 seconds how many feet do you kayak in 2 seconds? Simply divide by 6. 63/6 = 12/6. So, in 2 seconds (12/2) you kayak 10.5 feet (63/6). But your friend kayaks 21 feet in the same time... so he's going faster.


Related Questions

Tickets to an outdoor concert cost $15 for general admission tickets and $25 for VIP tickets. Ticket sales totaled $4500. Write an equation that models this relationship. Let x = the number of general admission tickets sold Let y = the number of VIP tickets sold

Answers

Answer:  15x + 25y = 4500

Step-by-step explanation:

The cost per general admission tickets is $15  and if x is used to represent the number of general admission tickets then 15 has to be multiplied by  x  and that gives the expression   15x  

The same with the VIP tickets, each one cost $25 and y is used to represent the number of VIP tickets sold, so if you want to find out how much a number of VIP tickets cost then you will have to multiply 25 by y  and that derives the expression  25y.

A combination of both tickets has to equal $4500 because that is amount they were both sold to get in total.

15x + 25y = 4500

MATH HELP PLEASE !!!! Tickets to a local movie were sold at $5.00 for adults and $3.00 for students. If 150 tickets were sold for a total of $610.00, how many adult tickets and student tickets were sold.

Answers

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610      Combine like terms :    -2S = -140

Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80

Carmen is taking a road trip. After 25 miles, she reaches a stretch of highway where she can drive at a constant speed of 65 miles per hour. Carmen's friend in the passenger seat is trying to figure out the minimum number of hours Carmen will need to drive to reach over 350 total miles for the trip, assuming she keeps a steady pace.

Carmen's friend creates the inequality 65t + 25 > 350, where t is the driving time, in hours.

Answers

Answer:

DEW

Step-by-step explanation:

Answer:

Carmen needs more than 5 hours to meet her goal.

Step-by-step explanation:

to make a valid interpretation of Carmen's situation, solve the given inequality for t.

Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.

So, Carmen needs more than 5 hours to meet her goal.

the vertices of a triangle are P(4, 7), Q8, -1), and R(-9, 6). What are the vertices of the image reflected across the x-axis?
A. P(4, 7), Q'(8, -1), R'(-9, 6)
B. P'(-4, -7), Q'-8, 1), R'(9, -6)
C. P(-4, 7), Q'(-8, -1), R'(9, 6)
D. P'(4, -7), Q'8, 1), R'(-9, -6)

Answers

Answer:

D.)

Step-by-step explanation:

Reflecting an image/shape over the x axis is reflecting it over a horizontal line, so the x coordinates will stay the same and the y coordinates will be the opposite. Therefore, the answer is D. Hope this helps!

MY TEACHER IS ON THIS APP LOL

Answers

Answer:

hijjjhhhhghhhhhhjjiuuuu

Answer:

lol. :-):-):-):-):-):-) ^_^

9 ,6 ,3, 0, -3, -6

b) Work out, in terms of n, the nth term of the sequence.

Answers

The answer is -3n + 12

Help please, if you can

Answers

Answer:

since i was helpfull i would like to answer another question fish swim in water

how do you wright 90460000 in scientific notation?? please help, i need step by step explanation please

Answers

Answer:

9.046 * 10^7

Step-by-step explanation:

90460000

We need one non-zero digit to the left of the decimal

9.0460000

We moved the decimal 7 places to the left so the exponent is 7

9.046 * 10^7

Answer:

9.046 × 10^7

Step-by-step explanation:

Move the decimal 7 times to the left. You come up with 9.046

Hope this helps :)

Describe a situation in which you would need to indicate a domain restriction on a rational function.

Answers

Answer:

f(x)=[tex]x^{2}[/tex]

Step-by-step explanation:

f(x)=[tex]x^{2}[/tex] may have its domain restricted [0,∞)

under this restriction, f is one-to-one.

Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)

Answers

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

[tex]y = mx+b[/tex]

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

simplify each expression (5p - 3)+(2p2 - 3p)​

Answers

Answer:

[tex](5p - 3) + (2 {p}^{2} - 3p) \\ = 2 {p}^{2} + (5 - 3)p - 3 \\ = 2 {p}^{2} + 2p - 3[/tex]

Answer: the answer is 2p^2+2p−3

Step-by-step explanation:

1. Combine Like Terms: these are 5p and 3p

2. which gives us 2p

3. Always put the squared first and the constant (without any variable last)

which makes 2p^2+2p-3

hiii please help i’ll give brainliest if
you give a correct answer and maybe explain thankss

Answers

Answer:

# 1, 4, & 6

Step-by-step explanation:

you can confirm by checking each number of smiles, boxes, and triangle. because #1 there are 2 triangles and 4 squares. #4 for every triangle there are two squares (4 squares and 2 triangles "split them in half") #6 same thing as #4

What is 0.3 recurring as a fraction?

Answers

Answer:

.3 recurring as a fraction is 1/3

Somebody help me plz

Answers

Answer:

[tex]f(-1)=0[/tex]

Step-by-step explanation:

[tex]f(a)=2a-2\\\\f(-1)=2(-1)-2\\\\f(-1)=-2+2\\\\f(-1)=0[/tex]

LOOK AT PIC ATTACHED AND HELP NOW

Answers

Answer:

a. Line BC and Line GH

b. Line AC and line AJ

c. No, because if they were perpendicular, they would intersect at a 90 degree angle.

Step-by-step explanation:

a. Whenever two lines share identical little triangle marks - such as line BC and line GH in this case - it indicates that those lines are parallel.  

b. The little red square at the intersection of line AC and line AJ indicates a 90 degree angle. Whenever two lines intersect at a 90 degree angle, it means they are perpendicular. So, Line AC and line AJ would be perpendicular.

c. The upside down T symbol means "perpendicular," so the question is asking if line BC and line AJ are perpendicular. However, they cannot be since there is no indication on the diagram that they do - no symbols of 90 degree angles - that we can use to prove that they are perpendicular.

What is (64x^2y^3)-1/2 as radical expression?

Answers

Answer:

[tex] \frac{1}{8xy \sqrt{y} } [/tex]

Step-by-step explanation:

[tex](64 {x}^{2} {y}^{3} )^{ - \frac{ 1 }{2} } \\ \\ = \frac{1}{(64 {x}^{2} {y}^{3} )^{\frac{ 1 }{2} } } \\ \\ = \frac{1}{ \sqrt{64 {x}^{2} {y}^{3}} } \\ \\ = \frac{1}{ \sqrt{ {(8xy)}^{2} y} } \\ \\ = \frac{1}{8xy \sqrt{y} } [/tex]


a = 8, b = 6, c = ?
A) 10
B) 11.2
C 14
D) 100

Answers

a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2
C=10

SELECT ALL The Points that are on the Graph of the line 3x + 2y = 28 (:

Answers

Answer:

(0,14) and (2,11)

Step-by-step explanation:

points are on the graph of the line:-

[tex]\tt{3x+2y=28 }[/tex] ⠀

we get,

[tex]\rightsquigarrow[/tex] [tex]\tt{ 2y=28-3x }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{y=\dfrac{28-3x}{2} }[/tex] ⠀

In,(0,14)

If we put the value ,x=0

y=[tex]\tt{\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]

So,we get one point,(0,14)✔

In,(2,11)

If we put ,x=2

y=[tex]\tt{\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]

so,we get another point (2,11)✔

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

we have to find the line which are in the line!!

points are on the graph of the line:-

3x+2y=28 ⠀

we get,

2y=28−3x ⠀

[tex]{y=\dfrac{28-3x}{2} }[/tex]

In,(0,14)

If we put the value ,x=0

[tex]y={\dfrac{ 28-3×0}{2}=\dfrac{28}{2}=14 }[/tex]

so one point is (0,14)

In,(2,11)

If we put ,x=2

[tex]y={\dfrac{28-3×2}{2}=\dfrac{28-6}{2}=\dfrac{22}{2}=11 }[/tex]

so,we get another point (2,11)

in other given ponts{(1,12),(4,9),(8,4)},It is impossible. ⠀ ⠀

15 inches.......3 inches Which measurement is closest to the total surface area of the container in square inches?

Answers

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

B is the midpoint of AC
А
B
C
If:
AB=9x + 1 and
BC = 6x + 25
Find AC.
AC =

Answers

It’s easier to upload the photo I think

Write equations for the following constraints-


The sum is 6.


The difference is 6.

Answers

3+3=6

12-6=6

I hope this is the type of equation and i hope this helps

Anjali’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 18 total tickets for $98. Each adult ticket is $14 and each child ticket $3. How many of each type of ticket were sold?

Answers

Answer:

adult-5 student-5

Step-by-step explanation: 98 divided by 18= 5. 5 times 14 = 70. 5 times 3= 15. 70+15=98.

Answer:

adult ticket:4

child ticket:14

Step-by-step explanation:

(98-18*3)/(14-3)=4

18-4=14

The student council at Eleanor Roosevelt High School is taking a survey of student opinions on this year's homecoming theme. To decide who to survey, the council creates a master alphabetized list of names from every student in the school, then selects every 20th student from the list. Will the results of this survey be valid? Why or why not?

Answers

Answer:

No

Step-by-step explanation:

It largely depends on required margin of error but I would say that the tested population size is going to be too small.

can u help me pls I need the answer now .​

Answers

Answer:

m<ACB = 60°

Step-by-step explanation:

B is a right angle, so its 90°

180-150=30°

180-90=90°

90+30= 120°

180-120= 60°

30+60+90= 180°

5x + 16= -3x please hurry

Answers

Answer:

x=-2

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

5x + 16 = - 3x ( add 3x to both sides )

8x + 16 = 0 ( subtract 16 from both sides )

8x = - 16 ( divide both sides by 8 )

x = - 2

PLEASE HELP ASAP!!!!!

1 x 1

Answers

Answer:

dude its 1

Step-by-step explanation:

Well if I’m not wrong you take the 1 then you put another 1 now you have two of one so the clear answer is 1

1x1=1

Michelle has a round lamp to which she wants to add beads. The diameter is 12.2 inches. What is the circumference?

Answers

Answer: 38.34 inches

Step-by-step explanation:

The lamp is round which means that the circumference can be calculated by the formula:

= Pie * diameter

Pie = 22/7

Diameter = 12.2

Circumference = 22/7 * 12.2

= 38.34 inches

Write and solve the algebraic inequality.
The product of –3 and a number is at least -24.
A. -3x -24; x S 8
B. -3x -24; x 8
C. -3x <-24; x>-8
D. -3x >-24; x>-8

Answers

Step-by-step explanation:

Lets convert each sentence into an algebric inequality.

Product of -3 and a number (let it be x) :-

[tex] = > - 3 \times x = - 3x[/tex]

-3x is atleast -24

[tex] = > - 3x \geqslant - 24[/tex]

Lets solve the inequality.

Now , divide -3 on both the sides -

[tex] = > \frac{ - 3x}{-3} \geqslant \frac{ - 24}{ - 3} [/tex]

[tex] = > x \geqslant 8[/tex]

There are 750 spectators of which of 420 are women and the rear are men what percent of the spectators are women

Answers

Answer: 56%

Step-by-step explanation:

There are 750 total people in this crowd.

420 are women and their percentage of the total is needed.

You get this by dividing the number of women by the total number of spectators and then multiplying by 100%:

= Number of women/ Total people * 100%

= 420 / 750 * 100%

= 56%

Natasha used 75 beads to make a necklace
for her sister. Of the 75 beads, 25 were square.
The rest of the beads were round. What is the
ratio of round to square beads on the necklace?

Answers

Answer: 2:3

Step-by-step explanation:

25/75 beads are square. Thus, 1 out of every 3 beads (1/3) is square. With this information, 2/3 of the beads are round because 1 - 1/3 = 2/3.

This means that the ratio of round to square beads is 2:3.

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