Sam walked x miles at 4mph.
Then he walked 2x miles at 3mph.
A) find average speed for the whole journey.
The second part of journey took 25mins longer than the first part.
B) Find the value of x.

Answers

Answer 1

Answer:

Sam average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]

Step-by-step explanation:

Formula: Speed = [tex]\frac{Distance}{Time}[/tex]

i.e. Time = [tex]\frac{Distance}{Speed}[/tex]

If Sam walked x miles at 4 mph, then time taken by him = [tex]\frac{x}{4}[/tex] hours

If he then walked 2x miles at 3 mph, then time for this period =  [tex]\frac{2x}{3}[/tex]hours

Average speed = [tex]\frac{Total Distance}{Total Time}[/tex]

=[tex]\frac{x+2x}{\frac{x}{4} \frac{2x}{3} }[/tex]

=[tex]\frac{3x}{\frac{x1}{4} \frac{2}{3} }[/tex]

=[tex]\frac{3}{\frac{3+8}{12} }[/tex]

=[tex]\frac{3 x 12}{11}[/tex]

=[tex]\frac{36}{11}[/tex]

=[tex]3\frac{3}{11} mph[/tex]

Hence, Same's average speed for the whole journey =  [tex]3\frac{3}{11} mph[/tex]


Related Questions

For which value of is the following number undefined


x - 3 / x + 4

Answers

Answer:4x - 2 = 3x + 1

Step-by-step explanation: shooooooooo papi

Answer:

x = - 4

Step-by-step explanation:

The denominator of the rational expression cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 4 = 0 ⇒ x = - 4

Thus x = - 4 is the excluded value

Find the surface area of the prism.​

Answers

Answer: 136 m

hope this helped :)

There is a 4 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 40 times?

Answers

4/20=1/5
1/5 x 40 = 8 wins

if you buy 4 balloons and the total price is 6 how much is each balloon

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

do 6 divided by 4

The upper-left coordinates on a rectangle are (-6,0)(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis, and the upper-right coordinates are (-4,0)(−4,0)left parenthesis, minus, 4, comma, 0, right parenthesis. The rectangle has an area of 121212 square units. Draw the rectangle on the coordinate plane below.

Answers

Answer:

See attachment for rectangle

Step-by-step explanation:

Given

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

[tex]Area = 12[/tex]

Required

Draw the rectangle

First, we calculate the distance between A and B using distance formula;

[tex]AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(-6 - -4)^2 + (0- 0)^2}[/tex]

[tex]AB = \sqrt{(-2)^2 + (0)^2}[/tex]

[tex]AB = \sqrt{4 + 0}[/tex]

[tex]AB = \sqrt{4}[/tex]

[tex]AB = 2[/tex]

The above represents the length of the triangle.

Next, calculate the width using:

[tex]Length * Width = Area[/tex]

[tex]2* Width = 12[/tex]

Divide both sides by 2

[tex]Width = 6[/tex]

This implies that, the width of the rectangle is 6 units.

We have:

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

Since A and B are at the upper left and right, then the ther two points are below.

6 units below each of the above point are:

[tex]C = (-6,0-6)\\[/tex] => [tex]C = (-6,-6)[/tex]

[tex]D = (-4,0-6)[/tex] => [tex]D = (-4,-6)[/tex]

Hence, the points of the rectangle are:

[tex]A = (-6,0)[/tex]

[tex]B = (-4,0)[/tex]

[tex]C = (-6,-6)[/tex]

[tex]D = (-4,-6)[/tex]

See attachment for rectangle

How many solutions are there to this equation 3(3x-)=6x-3 please help

Answers

One Solution
Steps - 3(3x)=6x-3
9x=6x-3
-6x -6x
3x=3
X=1

Which of the following is a rational number? square root 97square root 98, square root 99, square root 100 square root 97 square root 98 square root 99 square root 100

Answers

I think it would be the square root of 100

Answer:

100 feet

Step-by-step explanation:

I did the test hope it helps a lot have a good day

Activity
Andrew is paid $4 per hour for the first 30 hours he works each week. He makes $5 per hour for each hour he works over 30 hours per week. In
other words, total wages = fixed wages for 30 hours + additional wages at $5 per hour.
Apply function notation to answer the following questions about Andrew's wages.
Part D. How does the function notation in this example compare with the standard notation

Answers

Answer:

Step-by-step explanation:

For the first 30 hours, Andrew will earn 4(30) = $120.  For each additional hour beyond 30 that Andrew works, he will earn 5(h - 30).  Therefore, the function that gives Andrew's total wages when he works more than 30 hours is:

 

w = 120 + 5(h - 30).  

 

So, if he works 35 hours, he will earn:

 

120 + 5(35 - 30) = 120 + 5(5) = 120 + 25 = $145.

 

If he works 42 hours, he will earn:

 

120 + 5(42 - 30) = 120 + 5(12) = 120 + 60 = $180.

 

I hope this helps!

Can some one please help me with thins i cant figure the answer out ill will give 25 points for help.

6n=39

Answers

Answer: 6.5

Step-by-step explanation:

Divide 39 by 6.

39/6= 6.5

Divide both sides of the equation by the same term

6n=39

Divide 39 by 6

N= 13/2

What is the range of y = log Subscript 2 Baseline (x minus 6)?
all real numbers not equal to 0
all real numbers less than 6
all real number greater than 6
all real numbers

Answers

Answer:

D

Step-by-step explanation:

I just took the test

Answer: d all real

Step-by-step explanation:

Write an equation of the line that passes through (2,-5) and is parallel to the line 2y = 3x + 10

Answers

Answer:

y=3x/2 -8

Step-by-step explanation:

2y/2 = 3x/2 + 10/2

y = 3x/2 +5

(y-(-5)) = 3/2 (x-2)

y+5 = 3x/2 - 3

y= 3x/2 - 8

Five and one fourth - One Eighth
(Math suck :( )

Answers

Answer:

Exact form: 41/8

Decimal form: 5.125

Mixed number form:  5 1/8

Explain:

First, you subtract the whole numbers

5-0: 5

Then you combine the fractions

1/4 - 1/8 = 1/8

Then add the whole number back

5 + 1/8 = 5 1/8

What is the area of this regular pentagon that has been divided into five congruent triangles?

48 [tex]cm^{2}[/tex]

120 [tex]cm^{2}[/tex]

100 [tex]cm^{2}[/tex]

24 [tex]cm^{2}[/tex]

Answers

Answer:

120 cm^2.

Step-by-step explanation:

The area of one triangle = 1/2 * base * height

= 1/2 * 8 * 6

= 1/2 * 48

= 24 cm^2

So area of the pentagon = 5 * 24

= 120 cm^2.

A Blue Whale can
measure 28 meters
long. The smallest
animal found is a frog
measuring just 7 mm.
How many tiny
frogs sitting next
to each other
would measure
the same length
as a Blue
Whale?

Answers

Answer:

4000

Step-by-step explanation:

[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]

Ur answer is

3286 tiny frogs sitting next to each other would measure the same length as a Blue Whale.

psychology!!!!
An individual who exhibits a mixture of schizophrenic symptoms most likely has undifferentiated schizophrenia.


Please select the best answer from the choices provided


T
F

Answers

Answer:

t

Step-by-step explanation:

Answer:t

Step-by-step explanation:the other person was right

a bill is 45.89 what would your sales tax be at 6.625

Answers

Answer:

3.04

Step-by-step explanation:

The sales tax rate is either 6.625% or 0.06625 as a decimal fraction.

To calculate the sales tax on this bill, multiply 45.89 by 0.06625:  3.04

The tax would be 3.04.

Next time please use the dollar sign ($).

I really need help with this please help

Answers

It’s 222829299292929292 ☺️

Minimum. Q1: Q2: Q3: Maximum


14, 11,8, 1, 23, 20, 17, 5, 19, 10, 12, 22

Please help!

Answers

Answer:

Min: 1   Max: 23   Q1: 9   Q2: 13   Q3: 19.5

help for brainless ASAP

Answers

Answer:

I think its H.

Step-by-step explanation:

Answer:

J $52.14

Step-by-step explanation:

Have a Nice Day!

URGENT! BRAINLIEST ANSWER!
Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.

Answers

yes, they are both right angles

Answer: Yes, they are similar

Step-by-step explanation:

Angle A is congruent to angle D

Angle B is congruent to angle E

Angle C is congruent to angle F

Therefore, the triangles are similar by the AAA (angle-angle-angle) similarity theorem.

JOshua purchased a large sphere-shaped gumball from the gumball machine. The gumball has a diameter of 1.5. He decided to eat onlyhalf of the gumball so he can save the rest for later. Approximately, what is the volume of the piece of gumball that he ate?

Answers

Answer:

0.88 cubic inches

Step-by-step explanation:

To show the relationship between the serving size and the number of pounds of meat needed for a lasagna recipe, a catering company uses the chart below. Lasagna Serving size Pounds of meat 20 2 40 6 80 8 120 12 The employee who created the chart made an error when computing the number of pounds of meat for one of the serving sizes. For which serving size is the ratio of size to pounds of meat different from the other ratios? 20 40 80 120

Answers

Answer: 80

Step-by-step explanation: took the test

Answer: its not 80

Step-by-step explanation:

took the test trust me.

What is the interquartile range of warrens data?

Answers

Answer:

10

Step-by-step explanation:

Answer:

To find the interquartile range, first arrange the values in the data set in ascending order:

0, 5, 5, 10, 10, 10, 15, 15, 15, 20, 20, 20, 25, 25, 30.

Because there are 15 values in the data set, the first quartile is the 4th value, which is 10, and the third quartile is the 12th value, which is 20.

interquartile range

 =

third quartile – first quartile

  =

20 – 10

  =

10

The interquartile range of Warren's data is 10.


Help question in the pic

Answers

Answer:

the third chouce

Step-by-step explanation:

which fractions are equivalent to 2/6. (select ALL that apply).
4/8
1/4
5/9
1/3
4/12

Answers

Answer:

1/3 and 4/12

Step-by-step explanation:

could someone help me please? 13 points!!

Answers

Answer:

0.13

Step-by-step explanation:

it's not that hard all you have to do is add the shaded blocks, then make it a decimal

Answer:

Your answer would be 13%.

Step-by-step explanation:

Their is 100 squares and 13 squares are

shaded therefore it would be 13%.

Hope this helps!

Which expression represents the difference of (6x - 5) - (-x - 4)?

Answers

(6x-5)-(-x-4)

6x-5=x+4

6x-x=4+5

5x=9

Omar divided a circular pizza into 8 equal sections. He gave his friend
3 sections. Explain why the amount he gave to his friend can be represented
by a point plotted to the right of 0 on a number line. Then write the
amount he gave to his friend as a decimal.

Answers

Answer:

the amount he gave his friend is a positive fraction, therefore to the right of 0 on the number line. the decimal is 3/8 which = 0.375

Can you guys please answer this is really important

Answers

Answer:

B) BC'= 8, m A'= 28°

Step-by-step explanation:

When dilating a figure, it increases its size or decreases. In this case, as it is dilating by a factor of 1/2, you can assume it decreases.

To find the value of the new figure, A'B'C', you have to multiply the factor times the lengths of the triangle, or, the only one they are asking for in this case, the length BC':

BC' = BC×1/2BC' = 16×1/2BC' = 8

The angles, otherwise, do not change. When figures are dilated, they are similar. The properties of similar figures are that they have congruent angles, therefore, the same angles. They do not have any effect caused by the factor, so m A' stays at 28°.

What is the rule for this figure?

Answers

Answer:

I'm not 100% sure what this question is asking

Step-by-step explanation:

It looks like the triangle with the ' above each letter is a transformation from the blue triangle. In other words, the this transformation shows the original triangle being moved one space down and two spaces left.

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