A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3hours, 3.5 hours.

Answers

Answer 1

Answer:

2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles

Step-by-step explanation:

1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)

2.) 2 hours: 13.5 * 2 = 27 miles

3.) 3 hours: 13.5 * 3 = 40.5 miles

4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles

Answer 2

9 miles in 2/3 of a hour.

in 1 hour = 9 X 3/2 = 18.2 miles

In 2 hrs = 27 miles

in 3 hrs = 54.6 miles

in 3.5 hrs = 63.7 miles


Related Questions

Solve the following equation by combining like terms:
4y - 2y = 18

Answers

Answer:

y = 9

Step-by-step explanation:

Collect the like terms:

2y = 18

Divide both sides by 2 to make y on its own

y = 9

4y-2y=18
(Collect like terms)
2y=18
(Divide like terms)
y=9

what is the lcm for 10 and 5

Answers

Answer:

15

Step-by-step explanation:

10 and 5 can go in 15.

You could also use 5.

Answer:

10

Step-by-step explanation:

Human cells come in a wide variety of shapes and sizes. The
mass of an average human cell is 2 x 10-11. Write this number in
standard form.

Answers

Answer:

2

Step-by-step explanation:

An adult ticket to a school play cost $5 and a student ticket cost $3. $460 dollars was collected and 120 tickets were sold. How many student tickets were sold?

Answers

5x + 3y = 460
5(x + y = 120)
5x + 5y = 600
Use elimination subtraction
-2y = -140
y = 70
There are 70 student tickets

i need help with this

Answers

I believe the answer to this is the third box

The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
Y+ 7 = -
-- (x-10). What
is the standard form of the equation for this line?
O 2x - 5y = -15
2x - 5y = -17
2x + 5y = -15
2x + 5y = -17
Save and Exit

Answers

Answer:2x-5y=-15

Step-by-step explanation:

Which piecewise function is shown in the graph?​

Answers

Answer:

The piecewise function is shown in the graph is

f(x) = -0.5x + 1, x < 0          2x - 2,      x ≥ 0 ⇒ A

Step-by-step explanation:

At first, you must find the equation of each line

The form of the equation of the line is f(x) = m x + b, where

m is the slope of the line which = Δy/Δxb is the y-intercept which is the y-coordinate of the point of intersection between the line and the y-axis

From the graph

∵ The line to the left intersects the y-axis at point (0, 1)

b = 1

∵ The line passes through points (0, 1) and (-2, 2)

∴ Δx = -2 - 0 = -2

∴ Δy = 2 - 1 = 1

→ Use them to find the value of m

∵ m = Δy/Δx

∴ m = [tex]\frac{1}{-2}[/tex]

m = -0.5

→ Substitute the values of m and b in the form of the equation above

f(x) = -0.5x + 1

∵ The domain of the function is the values of x

∵ The line starts with an empty circle

→ That means x = 0 does not belong to the domain

∴ The sign of inequality is < without equal

The domain of f(x) is x < 0 ⇒ all values less than 0

∵ We have only one answer has f(x) = -0.5x + 1, x < 0

∴ The graph represents the first answer A

The piecewise function is shown in the graph is

f(x) = -0.5x + 1, x < 0           2x - 2,     x ≥ 0

Answer:

a

Step-by-step explanation:

make a the subject of this formula:
p=n^2+a/n+a

Answers

Step-by-step explanation:

we multiply both sides by the denominator on the right to eliminate fraction, so we have..

p*(n+a)= (n²+a/n+a)*n+a

so we have

p(n+a)= n²+a

so opening the bracket on the left hand side we have,

p*n+p*a

pn+pa

so,

pn+pa= n²+a

so collecting like terms we have,

pn-n²= a-pa

so removing a from the equation on the right hand side we have,

pn-n²=a(1-p)

dividing both sides by the equation in the bracket on the right hand side, we have..

pn-n²/(1-p)= a

a = pn-n²/1-p

or

a = n(p-n)/1-p

SOLVE: 1/4 (20-4a)=6-a (show work please)

Answers

Answer:

a = 2

Step-by-step explanation:

1/4 (20-4a)=6-a

5 - 1 = 6 - a

4 = 6 - a

a = 6 - 4

a = 2

:) Hope this helps, please mark as brainliest!

A credit card company charges a late fee of 25 dollars each time a
customer fails to pay on time. A customer missed the payment 4
times last year. At the customer's request and out of courtesy, the
credit card company decides to cancel all late fees for that year.
Write a numerical expression to show how much money was
returned.

Answers

Answer:

25 x 4 = 100

25 = late fee

4 = times payment missed

100= total money owed / total money returned

Step-by-step explanation:

If -3d + 5 = -3 , then 3d - 9 =

Answers

Answer:

-3d+5=-3 is d=8/3

3d-9 is (d-3)

Step-by-step explanation:

boris's super metal detector not only helped him win the science fair but also helped him find $6.20 in nickels and dimes yesterday morning. If boris found 14 more dimes than nickels, how many nickels did he find

Answers

Answer:

32 Nickels

Step-by-step explanation:

Given

Coins: Nickels (N) and Dimes (D)

$0.05 = 1 nickel and $0.10 = 1 dime

So, the amount implies:

[tex]0.05N + 0.10D = 6.20[/tex]

The number of coin implies:

[tex]D = 14 + N[/tex]

Required

Determine the number of nickels found

Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]

[tex]0.05N + 0.10(14 + N) = 6.20[/tex]

[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]

Collect Like Terms

[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]

[tex]0.15N = 4.8[/tex]

Solve for N

[tex]N = 4.8/0.15[/tex]

[tex]N = 32[/tex]

Hence, he found 32 nickels

45 Minutes+35 minutes+35 minutes=
Put it in hour and minutes not just minutes

Answers

Answer:

1 hour 55 minutes

Step

Answer:

1:55..

Step-by-step explanation:

Write the slope intercept

Answers

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

what calculates the slope of a line from two coordinate points from that line?

Answers

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

The mass of the copper cube is 90 grams, the mass of the gold cube is 193 grams, and the mass of the silver cube is 105 grams. Which shows the metals in order from the lowest density to the greatest density?

Answers

Answer: copper, silver, gold

Step-by-step explanation:

Answer:

copper siver gold

Step-by-step explanation:

i had this question too

4y - 9 - 6y = 2(y + 5) - 3 solve for y

Answers

Hope this helps:))))
That pic looks pretty accurate I agree

What is 1.19047619048 as a fraction ​

Answers

Answer: 1.19047619048 as a fraction equals 119047619048/100000000000

Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000

Answer:

119047619048/100000000000

Step-by-step explanation:

To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000

Matilda is selling hand-painted vases at a craft fair. She will
have to pay $200 to rent a booth at the fair. The cost of the
paint and other materials to create each vase is $5.50. She is
going to sell each vase for $14.00.
Part 1. Write an inequality to represent the situation in which
Matilda makes a profit. You must define any variable(s) you
use.
Part 2. How many vases must Matilda sell to make a profit?
Explain your reasoning.

Answers

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

someone please help !!!

Answers

Answer: it A (-36/w^7
Explanation: I multiplied

whats the answer im stuck ( -___-)

Answers

Answer:

(6r+7)+(13+7r)=13r+20

(13-1/2r)-(1-r)=12-1/2r

(-8-r)+(2r-4)=-12+r

Last one is r-13/6

Step-by-step explanation:

evaluate the expression. |9|

Answers

Answer:

The answer is 9.

The sign |   | means absolute value

Answer:

9

General Formulas and Concepts:

Algebra I

|Absolute Value| - changes any number positive

Step-by-step explanation:

Step 1: Define

|9|

Step 2: Evaluate

9

А ____________ is a comparison of two quantities by division.

A. Unit Rate
B. Rate
C. Ratio​

Answers

Answer:

Rate

Step-by-step explanation:

When you have two quantities and place one over the other, i.e. miles/hour, you get a rate, such as a rate of change .

please answerrrr, its not that hard i dont think lol, i j dont know it :)

Answers

Not a function.

It's conic section parabola. It's just a relation.

What is the rate of change of y with respect to x for 25x-4y=50

Answers

Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

What is derivative?

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

To learn more about derivative visit: https://brainly.com/question/25081524

write in slope form 2y = 24 ​

Answers

Answer:

  y  = 12

Step-by-step explanation:

The equation of the expression is given as;

              2y  = 24

We are to write in slope form';

    In slope form, an equation is expressed as;

             y = mx + c

where y and x are the intercept

               m is the slope

                c is the intercept

Now to write 2y = 24 in intercept form, we have;

                 2y  = 24

  divide both sides by 2;

                y  = 12

Evaluate 2y²(x + y) when x = 1 and y = 5.

Answers

Answer:

300

Step-by-step explanation:

Evaluate 2 y^2 (y + x) where x = 1 and y = 5:

2 y^2 (y + x) = 2×5^2 (1 + 5)

Hint: | Evaluate 1 + 5.

1 + 5 = 6:

2×5^2×6

Hint: | Evaluate 5^2.

5^2 = 25:

2×25×6

Hint: | Multiply 2 and 25 together.

2×25 = 50:

50×6

Hint: | Multiply 50 and 6 together.

50×6 = 300:

Answer: 300


Steven charges the following for repairing washing machines:
£24 call-out charge + £14 for each half-hour he spends on the repair
if a repair costs a customer £66, how long did it take?

Answers

3 hours
66 - 24 = £42
42 / 14 = 3 hours

A rancher raises five as many cows as horses. If he has 168 cows and horses, how many cows does he have? Complete the equations below, and then use substitution to solve. Let c represent the number of cows and h represent the number of horses Equation 1: c=_h Equation 2: c+h=_

Answers

Answer:

There are 28 horses and 140 cows

Step-by-step explanation:

Given

Animals: Cows and Horses

Represent Cows with c and Horses with h

For the first equation, we complete it as thus:

[tex]c = 5h[/tex]

This is so because there are 5 times as many c as h

The second equation will be completed as:

[tex]c + h = 168[/tex]

This is so because the total animals are 168

So, we have:

[tex]c = 5h[/tex]

[tex]c + h = 168[/tex]

Substitute 5h for c in the second equation

[tex]c + h = 168[/tex]

[tex]5h + h = 168[/tex]

[tex]6h= 168[/tex]

Solve for h

[tex]h = 168/6[/tex]

[tex]h = 28[/tex]

Recall that:

[tex]c = 5h[/tex]

[tex]c = 5 * 28[/tex]

[tex]c = 140[/tex]

Hence, there are 28 horses and 140 cows

HELPPPPPPP ASAPPPPPP PLEASEEEE

Answers

I believe the answer is 70. Just ask if you want an explanation

70

f(-4)=5(2-3(-4)

f(-4)=10+60

f(-4)=70

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