You are kayaking along a 24-mile stretch of river. You travel 6 miles per hour when paddling and 2 miles per hour when drifting. Give three possible combinations of paddling and drifting times. Write your answers as ordered pairs.

Answers

Answer 1

Answer:

(1,6), (2,6), (3,3)

Step-by-step explanation:

Since you  travel 6 miles per hour when paddling and 2 miles per hour when drifting, and the total distance covered is 24 miles, we find the times t and t' of paddling and drifting respectively in which the product 6t + 2t' = 24.

So, for the first values of t and t' , we have t = 1 and t' = 9

So, 6t + 2t' = 6 × 1 + 2 × 9 = 6 + 18 = 24

As an ordered pair (1, 9)

For the second set of values of t and t' , we have t = 2 and t' = 6

So, 6t + 2t' = 6 × 2 + 2 × 6 = 12 + 12 = 24

As an ordered pair (2, 6)

For the third set of values of t and t' , we have t = 3 and t' = 3

So, 6t + 2t' = 6 × 3 + 2 × 3 = 18 + 6 = 24

As an ordered pair (3, 3)

So, the three different combinations of paddling and drifting times are (1,6), (2,6), and (3,3)


Related Questions

The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?

a) P = 12.50t + 1.20

b) P = 1.20t + 12.50

c) t = 12.50P + 1.20

d) t = 1.20P + 12.50

Answers

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

BRAINLIEST!!!!!!!! On your own… (12 points) a. Create your own “real-world” algebraic equation using two variables. Also write the word problem that creates your equation. b. Express the equation in standard form and slope-intercept form. c. Graph the equation. d. Write a paragraph of at least 3 sentences explaining your word problem and how you developed the equation to represent your real world situation.

Answers

Hello, I Am BrotherEye

Answer:

1. Choose one of these equations: (20 points) 10x + 12y = 10,500 4x + 6y = 2,340 10x + 6y = 150 a. Write your own word problem that could match one of the equations above. Abby makes $150 a day at her new job as an assistant for a fashion designer in New York. She earns $10 an hour plus $6 for every dress she trailers. How many hours does she have to work and how many dresses does she have to tailor to earn $150? b. Rewrite the equation in slope-intercept form. y= -(5)/(3)x + 25 c. Graph the Equation

Step-by-step explanation:

Answer:

a.) Someone needs to make 4 cookies per person in their class, and 6 muffins per person in their class. In total, they made 210 baked goods. How many people are in their class?

b.) standard form: 4y+6y=210 / slope-intercept form: y= 21

c.) the graph is the image added below.

d.) I made up a simple word problem off the top of my head. I converted it into a real world situation because I got inspiration from the topic of a bake sale. I wanted to make it simple, so I couldn't have the person bake stuff for a bake sale, since 210 is too little of a number for the whole school, so I shortened it to just the person’s class

SAS, SSS, ASA, or AAS?

Answers

Answer:

SAS

Step-by-step explanation:

Side ST = Side Gp

angle p = angle t

and side PM = side MT

Therefore the congruency statement shows

Side

Angle

Side

aka SAS

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1).?? ?//

Answers

Answer:

20

Step-by-step explanation:

f(x)=x2+3x and g(x)=2x2, find (f ∘ g)(−1)

f(x)= (-1)(2) +3 (-1)= -2+-3= -5

g(x)= 2 (-1)2= -4

(f ∘ g)= -5 x -4= 20

15/17 = x/147. find the unknown number and round to the nearest hundredth

Answers

Answer:

x=129.70588235294

Step-by-step explanation:

..........

Use the Pythagorean Theorem to find the measure of the space diagonal line in the box
picture if the length of the box "a" = 13 inches; width of the box "b" = 5 inches; and height
of the box "c"= 8 inches. * S
(10 Points)
Pythagorean Theorem Formula: a? + b2 = 2
256 inches
257 inches
258 inches
(259 inches

Answers

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches

The simplified fractional representation of
0.353535... is ____/_____?

Answers

Answer:

Step-by-step explanation:

0.3535... = 35/99

True or false? In a two-column proof, the left column contains a series of deductions. A. True B. False

Answers

Answer:

True

Step-by-step explanation:

The volume of a cone is 75 and the radius is 5 . What is the height

Answers

Answer:

Step-by-step explanation:

h≈2.86

Answer:

Volume:75 Radius:5

Step-by-step explanation:

TIMED TEST EASY 6th GRADE HELP ME

What are the constant(s) in this expression?

17x + y + 12 - W + 3x?

Answers

Answer:

12

Step-by-step explanation:

17x is a coefficient

y is a variale

12 is a constant

w is a variable

and 3x is a coefficient

Ali and Tyler are 50 when you add up their ages. Ali is 8 years younger
than Tyler. How old is Tyler? *

Answers

Answer:

33

Step-by-step explanation:

while Tyler is 33 ali will be 17

33 Tyler is 33 while Ali is 17

can someone help me on this!!!​

Answers

Answer:

dates

Step-by-step explanation:

bestie it is dates i am sure of it.

How do I find the midpoint M C(3,-5) and D(7,9)

Answers

Given:

The two points are C(3,-5) and D(7,9).

To find:

The midpoint M of the given points.

Solution:

We know that,

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of C(3,-5) and D(7,9) is

[tex]M=\left(\dfrac{3+7}{2},\dfrac{-5+9}{2}\right)[/tex]

[tex]M=\left(\dfrac{10}{2},\dfrac{4}{2}\right)[/tex]

[tex]M=\left(5,2\right)[/tex]

Therefore, the midpoint M of two points C(3,-5) and D(7,9) is (5,2).

PLZ HELP I NEED ITTT!!

Answers

Answer:

with what

Step-by-step explanation:

ahhhhhhh..... .,.......

What is that you need help with???

6(y + 8) = I need help please :)

Answers

Answer:

6y + 48

Step-by-step explanation:

Use distributive property 6 x y = 6y

(keep the plus sign btw)

6 x 8 = 48

then place it in order: 6y + 48 is your algebra expression

Answer:

6y + 48

Step-by-step explanation:

Distributive Property

6 * y = 6y + 8

please help due soon

Answers

A = 29.745

you can use the law of sine

Please help! Will give Brainliest. (Photo below)

Answers

Hi! So I got :
-3 —>20
-2 —>13
-1 —>8
0 —>5
1 —>4
2 —>5
3 —>8
I’m sorry if any of these are wrong but In order to find the answers I used the “graphing quadratics” one (don’t know the name so sorry) but yeah first I found the axis of symmetry which was 1 and from there I built a chart and substituted. Again, I didn’t see some answer choices above in the image so sorry if there wrong, but yeah I hope this helped! (This is from algebra 1 by the way)

Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17

Answers

Answer 1               8      

Step-by-step explanation:

[tex]y = \frac{1}{2} e^{x}[/tex]  equation is represented by the given graph.

What is graph?

"Graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

From the observation of the graph,

for x= 0

y- intercept = [tex]\frac{1}{2}[/tex]

a.  [tex]y = \frac{1}{8} e^{x}[/tex]

Substitute x = 0 in the equation we get,

[tex]y = \frac{1}{8} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{8}[/tex]

Therefore,

Option (a) is not the correct answer.

b. [tex]y = \frac{1}{2} e^{x}[/tex]

Substitute x = 0  in the equation we get,

[tex]y = \frac{1}{2} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{2}[/tex]

which is same as graph value.

Hence, Option (b) is  the correct answer.

Learn more about graph here

https://brainly.com/question/10712002

#SPJ2

Lin runs 5 laps around a track in 6 minutes.

How many minutes per lap is that? Show work

Answers

6/5=1.2 one minute and twenty seconds per lap

Please help thank you so much

Answers

Answer:

x=90

inscribed angle from the diameter is complement

Answer:

x = 90.

Step-by-step explanation:

Diameter formed the angle with circumeference is 90.

A recipe calls for 2 cups of butter for every 5 cups of flour. Question 1 Part A What is the ratio of flour to butter? Write the ratio in three different ways. Do not simplify the ratios. Enter the correct answers in the boxes.

Answers

Answer:

The answer is 5:2 5 to 2 5/2.

answer both and i will give brianlist

Answers

Answer:

1. Perpendicular

2. y=5x+7

Step-by-step explanation:

brainliest please?

One day 197 Eagle Ridge students went on a field trip. Five busses were filled with the same number of students, and two students traveled separately by car. How many students were on each bus?

Answers

Answer: 39 students

Step-by-step explanation:

First, remove the number of students who traveled by car from the total number so we can see the number of students who traveled by bus:

= 197 - 2

= 195 students by bus.

These 195 students traveled in 5 buses. The number of students on each bus is therefore:

= No. of students traveling by bus / No. of buses

= 195 / 5

= 39 students

What is the Vertex?

y = x² - 8x-1

Answers

Answer:

The vertex is (4,-17)

Step-by-step explanation:

Vertex is (4,-17) hope this helps!

Pls help me if your great at math I’ll mark brainliest <3 (if correct)

Answers

Answer:

I believe it's B

Hope this helped<3

PLEASE HELP!!!!!
What is x?

Answers

Answer: 84 degrees

Step-by-step explanation: I'm not quite sure how to explain this problem, sadly, but you basically add up the degrees together in the big triangle all together, and then figure out the rest.

Which system of equations is best represented by the graph?

Answers

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

Draw a cone with a height of 9 in. and a diameter of 4 in. Find the volume. Round to the nearest tenth.

Answers

Answer:

Cone Volume = (PI * radius^2 * height) / 3

Cone Volume = (PI * 2^2 * 9) / 3

Cone Volume = 113.0973355292 / 3

Cone Volume = 37.7 cubic inches

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

What is the area, in square meters, of the trapezoid.
10.4 m
5.8 m
6.4 m

Answers

Answer:

48.72.

Step-by-step explanation:

good luck

What is the value of c in the equation below? 2 Superscript negative 4 Baseline times 2 squared = a Superscript b Baseline = c Negative 4 Negative 2 Start Fraction 1 Over 64 End Fraction One-fourth

Answers

Question:

What is the value of c in the equation below?

[tex]2^{-4}*2^2 = a^b = c[/tex]

A. -4     B. -2     C. 1/64     D. 1/4

Answer:

[tex]c = \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]2^{-4}*2^2 = a^b = c[/tex]

Required

Find c

The equation can be rewritten as:

[tex]c = 2^{-4}*2^2[/tex]

[tex]c = a^b[/tex]

Solving: [tex]c = 2^{-4}*2^2[/tex]

Apply law of indices

[tex]c = 2^{-4+2}[/tex]

[tex]c = 2^{-2}[/tex]

Apply law of indices

[tex]c = \frac{1}{2^2}[/tex]

[tex]c = \frac{1}{4}[/tex]

Step-by-step explanation:

Answer:

1/4

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