Two hikers are 11 miles apart and walking toward eachother. they meet in 2 hours. find the rate if one hiker walkers 0.3 mph faster than the other.

Answers

Answer 1

If two hikers are 11 miles apart and walking towards each other and they meet in 2 hours, then if one hiker walks 0.3mph faster than the other, then the rate at which the slow hiker and fast hiker walk towards each other is equal to 2.6 and 2.9 mph respectively.

Consider, the speed of the slow hiker = s

Then, the speed of the fast hiker = s + 0.3

The distance covered by both the hikers in 1 hour = 2s + 0.3 miles

The distance covered by both the hikers in 2 hours = 2(2s + 0.3) = 4s + 0.6 miles

We can find the value of s by forming an algebraic expression as follows,

4s + 0.6 = 11

4s = 11 - 0.6

4s = 10.4

s = 10.4 / 4

s = 2.6

Speed of the slow hiker = s = 2.6 mph

Speed of the fast hiker = s + 0.3 = 2.6 + 0.3 = 2.9 mph

Hence, the rate at which the slow hiker and the fast hiker walk toward each other is equal to 2.6 and 2.9 mph respectively.

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Related Questions

HELP.............................! !

Answers

I think it’s 11.98 or 10.87 but I would pick one of those:)
I hope it helps:)

Answer:

It would be 28.69.

Explanation:

4.99 x [tex]5 \frac{3}{4}[/tex] = 28.6925

Because of the kind of number (28.6925), you will have to round up.

To round up the number has to be a 5 or higher. Well, you have a 9 and then a 2. A 2 can't round up a 9, so you just end up discarding the 2 and the 5 at the end of the number.

Henceforth, you are left with 28.69.

-----------------------------------------------

Hope this makes sense and is correct!

God bless! :)

potatoes cost janice $1 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. suppose she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30 per pount.

Answers

A . 3 pounds of potatoes

B . 2 pounds of potatoes

A . Janice will purchase potatoes until the value of potatoes is less than the cost of potatoes. Janice has $5.00 to spend on potatoes and the cost of potatoes is $1.00.

By assuming that the First pounce of potatoes is worth $1.50. which is greater than $1.00. If the second pound is worth $1.14, then Janice will purchase these as well, since the value is more than $1.00. If the remaining pounds are worth $0.30 then Janice will not purchase these because the value is less than the cost.

Thus Janice will purchase 3 pounds of potatoes for the Total cost of $3.00

B. Now assume Janica has only $2.00 to spend on potatoes. She will purchase the first pound which is $1.50 and the second pound which is $1.14. She now spends her entire amount of money on potatoes. If she want to purchase she could not do that.

Thus Janice will purchase 2 pounds of potatoes at a total cost of $2.00

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The complete question is:

Potatoes cost Janice $1 per pound, and she has $5.00 that she could possibly spend on potatoes or other items. If she feels that the first pound of potatoes is worth $1.50, the second pound is worth $1.14, the third pound is worth $1.05, and all subsequent pounds are worth $0.30 per pound, how many pounds of potatoes will she purchase? How many pounds will she purchase if she has only $2 to spend?

3(2x − 1) < 2(4 + 3x)

Answers

Answer:

Step-by-step explanation:

3(2x−1)<2(4+3x)

Step 1: Simplify both sides of the inequality.

6x−3<6x+8

Step 2: Subtract 6x from both sides.

6x−3−6x<6x+8−6x

−3<8

Step 3: Add 3 to both sides.

−3+3<8+3

0<11

any number below 11 is a solution.

find the slope of the line in the picture

Answers

The slope of the line in the picture is 2.8

How to find the slope of the line in the picture?

To calculate the slope of the line, we make use of two points on the line

The two points to use are

(0, 0) and (25, 70)

The slope of the line is then calculated as

Slope = (y2 - y1)/(x2 - x1)

So, we have

Slope = (70 -0)/(25 - 0)

Evaluate

Slope = 2.8

Note that the slope can also be regarded as the constant average rates of change or the gradient

Hence, the slope of the line in the picture is 2.8

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1. The table shows the maximum weight a crane arm can lift at various
distances from its cab.
weight
distance from cab to weight
Construction-Crane Data
Distance from Cab
to Weight (ft)
Weight (lb)
12
24
36
48
cab
60
7,500 3,750 2,500 1,875 1,500
a. Describe the relationship between distance and weight
for the crane.

Answers

According to the given statements,

The relationship between Distance and weight is Inversely proportional.

What is term Inversely proportional?

If one variable rises, the other will fall; conversely, if one variable falls, the other will rise. These are inversely proportional variables or quantities. In other words, they are said to be inversely proportionate when an increase in one quantity causes a reduction in the other and vice versa.

According to the given values,

Here, distances are given as - (ft) 12, 24, 36, 48, 60

and Weight (Lb) are given as

7500,3750, 2500, 1875, 1500

When distance is small, the weight is high.

Distance ∝ 1/Weight

So, The relationship between distance and Height will be inversely proportional.

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the Math question is on the image​

Answers

Answer:

  x = 40

Step-by-step explanation:

You want x when y = 16, given that x = 2 when y = 1/25 and x is proportional to the square root of y.

Proportion

The given relation between x and y is ...

  x = k√y . . . . . . x is proportional to the root of y

Application

The value of k is found from ...

  k = x/√y = 2/√(1/25) = 10

Then for y = 16, we have ...

  x = 10·√16 = 10·4

  x = 40 . . . . . . . . when y = 16

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Bailey starts playing a game on her cell phone with the battery fully charged and plays until the phone battery dies. While playing the game the charge in Bailey's battery decreases by half a percent per minute. Write a function for the percent change in the battery while Bailey is playing the gane

Answers

The linear function for the percent change in the battery while Bailey is playing the gane is:

B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

For this problem, we have that:

The intercept is the initial battery, of 100.The slope is of -0.5, as the battery decays by 0.5% each minute.

Hence the function is:

B(t) = 100 - 0.5t.

The battery will be of 0, when:

B(t) = 0.

100 - 0.5t = 0.

t = 100/0.5.

t = 200.

Hence the function is:

B(t) = 100 - 0.5t, 0 ≤ t ≤ 200.

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the mass of the combined coins is 75 grams. Each penny has
Stephanie adds pennies, nickels and quarters to a scale until
a mass of 2.5 grams, each nickel has a mass of 5 grams and each quarter has a mass of 5.7 grams.
Create an equation to model this situation, where x is the number of pennies, y is the number of nickels and z is the
that the mass of the combined coins is exactly 75 grams.
number of quarters that Stephanie can put on the scale so

Answers

The required equation is 2.5x + 5y + 5.7z = 75.

What is mass?

Mass is measured in terms of weight of body. Gram, kilogram, and pounds are some of the standard mass units to measure.

Given that,

Pennies, nickels, and quarters are added to a scale by Stephanie until the combined weight of the coins is 75 grams.

Number of pennies = x

Each pennies has a mass = 2.5 grams

Mass of x pennies  = 2.5x grams

Number of nickels = y

Each nickels has a mass = 5  grams

Mass of y nickels = 5y grams

Number of Quarters = z

Each Quarter has a mass = 5.7  grams

Mass of z Quarters = 5.7z grams

Total Mass = Mass of x Pennies + mass of y nickels + mass of z quarters

= 2.5x + 5y + 5.7z grams

Total Mass = 75 grams

Equation both is 2.5x + 5y + 5.7z = 75

The required equation is 2.5x + 5y + 5.7z = 75.

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I WILL GIVE YOU BRAINLIEST NEED HELP PLEASEE :DD

Answers

The coordinates of the pre-image of point F' is (-2, 4)

How to determine the coordinates of the pre-image of point F'?

On the given graph, the location of point F' is given as:

F' = (4, -2)

The rule of reflection is given as

Reflection across line y = x

Mathematically, this is represented as

(x, y) = (y, x)

So, we have

F = (-2, 4)

Hence, the coordinates of the pre-image of point F' is (-2, 4)

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A travel agency recorded the travel destinations of 60 South African tourists last month.
Of the 60 tourists, 30 visited Europe, 28 visited the UK, 9 visited America and 12
visited both Europe and the UK. Five tourists did not visit America, Europe or the UK.
(1) Draw a Venn diagram to represent this information.
(2)
(3)
Determine the probability that a tourist, selected at random, visited Europe only.
Determine the probability that a tourist, selected at random, visited America.
Determine the probability that a tourist, selected at random, visited both Europe
and the UK.
(4)
(5)
Determine:
(i) P((not E) or A)
(ii)
P((not A) and UK)
02 The probability that he will

Answers

Answer:

to create venn diagram

Step-by-step explanation:

To create an intersecting Venn diagram, draw three circles that overlap in the middle. You'll be able to show which attributes are unique to each circle, which overlap between two, and which are common characteristics of all three groups. Two circles overlapping is a classic venn diagram.

Find the average rate of change of the function: f(x)=x²-3 between the values [3,5]​

Answers

Answer: 4

hope it helps

Eva went to shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple and 3 melons. what are the mean and median of her purchase?

Answers

If Eva went to a shop and bought 3 apples, 5 peaches, 8 bananas, 1 pineapple, and 3 melons, then the mean and median of her purchase are equal to 4 and 3 respectively.

Mean can be described as the most common value in a group of numbers. The mean of a certain set can be found by the ratio of the sum of the values to the number of values.

Mean = Sum total of the expressions/ Number of expressions

Sum of the values = 3 + 5 + 8 + 1 + 3 = 20

Number of values = 5

Mean = 20 / 5

Mean = 4

Median can be described as the central number in a series of numbers or a dataset.

If we arrange the given dataset in ascending order, that is from smallest to largest, then the median can be found as follows,

1 + 3 + 3 + 5 + 8

As the middle number is 3, therefore the median of the given data set is equal to 3.

Therefore, the mean and median of her purchase are calculated to be 4 and 3 respectively.

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APPLYING THE STA
How might this standard appear on a test?
Use proportional relationships to complete each question.
1) Fill the table. Round to the nearest cent.
Original
Cost
$24
$120
$60
Discount
Percentage
20%
15%
45%
Sale
Price
Sales Tax
Percentage
8.5%
7%
896
Sales Tax
Amount
Total
Cost

Answers

Answer:

Step-by-step explanation:

a

What’s the morning time on the clock

Answers

The answer is: 7:20 am
The answer is 7.20 a.m.

Multiply. 6 1/4 x 3 3/5 = 18 3/20 18 17/20 22 1/2 22 1/20

Answers

On multiplying  two fractional  terms  [tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   we get [tex]22\frac{1}{2}[/tex]  as a result.

multiplication- it is an operation that represent the basic idea hope repeated addition of the same number.

It is used to simplify the task it is used when we need to combine groups of equal size.

mixed fraction - it is represented with its quotient and remainder.

it contains a whole number and a proper fraction.

To solve above equation firstly solve mixed fraction.

 [tex]6\frac{1}{4}[/tex]  = 25/4

 [tex]3 \frac{3}{5}[/tex]  = 18/5

then on multiplying them we get

[tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   = 25/4 X 18/5

= 45/2

=[tex]22\frac{1}{2}[/tex]

 [tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   = [tex]22\frac{1}{2}[/tex]

On multiplying  two fractional  terms  [tex]6\frac{1}{4}[/tex]  X  [tex]3 \frac{3}{5}[/tex]   we get [tex]22\frac{1}{2}[/tex]  as a result.

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3. (g + h) (×)
4. (g - h ) (×)
5. (f + h) (×)

please solve thankyou!!​

Answers

3. gx + hx
4. gx -hx
5. fx + hx

1/6d + 2/3 = 1/4(d - 2)

Answers

answer: d=14

distribute 1/4 to (d-2)
using a(b-c) = ab -ac

1/6d + 2/3 = 1/4d - 1/2
substract 2/3 from both sides
1/6d = 1/4d -7/6

subtract 1/4d both sides
-1/12d = -7/6
multiply both sudes by -12

d = 14

b =x/m(a-x)
Make x the subject of this equation.

Answers

Answer:

[tex]x= \dfrac{bma}{bm+1}[/tex]

Explanation:

Given expression:

[tex]\hookrightarrow b = \dfrac{x}{m(a-x)}[/tex]

shift the variables

[tex]\hookrightarrow b m(a-x)= x[/tex]

distribute inside parenthesis

[tex]\hookrightarrow bma-bmx= x[/tex]

collect terms with "x" in one side

[tex]\hookrightarrow -bmx-x= -bma[/tex]

divide both sides by -1

[tex]\hookrightarrow bmx+x= bma[/tex]

factor out common term "x"

[tex]\hookrightarrow x(bm+1)= bma[/tex]

shift the variables making "x" the subject

[tex]\hookrightarrow x= \dfrac{bma}{bm+1}[/tex]

can someone solve this?​

Answers

Answer:

2L+2W

Step-by-step explanation:

U JUST MOVE THE 2 TO THE L AND MOVE THE 2W TO THE OTHER SIDE. I THINK MY ANSWER IS RIGHT BUT MAYBE WAIT FOR ANOTHER PERSON

Confirmed Solution:

[tex]p=2l+2w[/tex]

Hope this helps!

In this discussion, you will reflect on what you have learned about solving equations.

Discussion Prompt: Sarah and Kayla both solved the problem below. Who do you think solved it correctly? For the person who solved it incorrectly, what mistake do you think was made?
Sarah

5x - 15 - 3x = 10 - (-3x + 20)

2x - 15 = 10 + 3x - 20

2x - 3x - 15 = -10 + 3x - 3x

-1x - 15 = -10

-1x - 15 + 15 = -10 + 15

-1x = 5

x = -5



Kayla

5x - 15 - 3x = 10 - (-3x + 20)

2x - 15 = 10 + 3x - 20

2x + 3x - 15 = -10 + 3x + 3x

5x - 15 = -10

5x - 15 + 15 = -10 + 15

5x = 5

x = 1

Post a brief paragraph responding to the discussion prompt above. Your post should use concepts presented in this module/lesson. Your post must be completed before you can see posts from your classmates.
Discussion Responses

Answers

The person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.

How to illustrate the information?

It should be noted that an equation is simply used to illustrate the relationship between two variables.

In this case, the solution to the equation will be:

5x - 15 - 3x = 10 - (-3x + 20)

2x - 15 = 10 + 3x - 20

2x - 3x - 15 = -10 + 3x - 3x

-1x - 15 = -10

-1x - 15 + 15 = -10 + 15

-1x = 5

x = -5

Therefore, the person that solves the equation correctly is Sarah. It should be noted that the mistake that Kayla made is that she added 2x + 3x rather than subtracting it.

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What is the slope of the line that passes through the points (-7, -2) and
(-2,-22)? Write your answer in simplest form.

Answers

Answer:

-4

Step-by-step explanation:

Compute the slope of the line through the following points:

p_1 = (-7, -2) and p_2 = (-2, -22)

The slope of the line through (x_1, y_1) and (x_2, y_2) is:

(y_2 - y_1)/(x_2 - x_1)

Substitute (x_1, y_1) = (-7, -2) and (x_2, y_2) = (-2, -22):

= (-22 - -2)/(-2 - -7)

-(-7) = 7:

= (-22 - -2)/(-2 + 7)

-2 + 7 = 5:

= (-22 - -2)/5

-(-2) = 2:

= (-22 + 2)/5

-22 + 2 = -20:

= (-20)/5

The gcd of -20 and 5 is 5, so (-20)/5 = (5 (-4))/(5×1) = 5/5×-4 = -4:

Answer:  = -4

Given that m
Please help me with this!

Answers

Answer:

where is the probleM?

Step-by-step explanation:

WILL GIVE BRAINLIST TO BEST ANSWER JUST PLEASE HELP!!!!!!
A plumber earns $75 for a repair job, plus an additional $45 per hour he works. On Tuesday, he completed 2 repair jobs and earned a total of at least $465.

Part A: Write an inequality that can be used to determine h, the numbers of hours the plumber worked Tuesday.

Answers

Answer:

He worked 7 hours

Step-by-step explanation:

X= Number of jobs, H= Hours worked T= Total money made

firstly we have to arrange this into a formula, which will allow you to insert any a value of one variable and find the other variable

this equation is 75x + 45h = T

from this question we know that he worked 2 jobs and made a total of 456$

Adding these into the equation we get:

(75*2) + 45h = 465

solving to find h by isolating the variable, the final answer will be

h = 7

Enlarge the triangle by scale factor 2.

Answers

Answer:

Answer in the picture attached

Need help on number 5!

Answers

A 5 number summary is 2,4,5,7,15

And 2,4,5,6,7

cuál es el valor total de 9?

Answers

Answer:

(0.98768834,0.15643446)

Step-by-step explanation:

yo creo

-2/3 a +5/6 a -1/6 

Answers

The solution is   [tex]\frac{9a - 1}{6}[/tex]

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction.

Find the lowest common denominator (LCD), convert each algebraic fraction to an equivalent fraction with the common denominator, and then combine each numerator to add or subtract algebraic fractions with distinct denominators. Reduce if you can.

Use the highest exponent of any common variable factor that has more than one exponent.

Add multiplied terms together to get a single fraction.

[tex]\frac{2a}{3} + \frac{5a}{6} + \frac{-1}{6}\\ \\ = 2(\frac {2a}{3}) + \frac{5a}{6} + \frac{-1}{6}\\\\\\\ = \frac{4a + 5a - 1}{6} \\ \\= \frac{9a - 1}{6}[/tex]

Therefore, the answer is (9a - 1) / 6

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a board game spinner is divided into three parts labeled $a$, $b$ and $c$. the probability of the spinner landing on $a$ is $\frac{1}{3}$ and the probability of the spinner landing on $b$ is $\frac{5}{12}$. what is the probability of the spinner landing on $c$? express your answer as a common fraction.

Answers

Probability of spinner landing on 'c' is 1/4;

Probability of spinner landing on 'a' = 1/3 = 4/12;

Probability of spinner landing on 'b' = 5/12;

Thus, Probability of spinner landing on 'c' = 1 - (5/12 + 4/12)

                                                                  = 1 - 9/12

                                                                  = 3/12

                                                                  = 1/4;

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whic is the correct form of the equation a+b+c=d when solved for a?

Answers

Answer:

a = d-b-c

Step-by-step explanation:

i think?

C is the midpoint of AD. B is the midpoint of AC BC =4 what is the length of BD

Answers

Answer:

================= m

Step-by-step explanation:

uuhhhhhhvvvvbvvggggghgggghhgg

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