Thomas drive from junction 2 to junction 3 on a road . The distance between the junctions is 12 miles and it takes 15 minutes. Hanna also drove from junction 2 to junction 3 on the road. She drove at an average speed of 50 mph . Who has the faster speed. Explain​

Answers

Answer 1

Answer:

Hanna

Step-by-step explanation:

In order to find out how fast Thomas has drove as compared to Hanma we have to compare the speed of each other,

Speed of Hanna = 50mph (as given in ur question)

Speed of Thomas

Since the unit of time of the distance traveled by Thomas is not same as that of Hanna we have to convert the minutes into hour,

Distance traveled = 12miles

Time taken = 15minutes

Speed = 12miles/15mim

Converting minutes into hours we have to multiply by a number whose product will be 60 and that will 4

that is 15 times 4 is 60. But to make the ratio equal

we have to multiply the distance too by 4.

= 12*4/15*4

=48 miles/60minutes

=48miles/1hour

=48mph

Comparing both speeds

Speed of Hanna compared to Speed of Thomas,

50mph > 48mph

Hence, Hanna has the faster speed.


Related Questions

(DOUBLE POINTS) Find x.

Answers

Answer: 15 and 26

Step-by-step explanation:

2. Select the two graphs with a negative slope.

Answers

Answer:

2nd one on the top row

last one on the bottom row

(left to right)

Step-by-step explanation:

the negative slopes are the lines that go down towards the right side

so that would be the second one on the top row and the last one on the bottow row

A triangle has sides with lengths of 51 miles,68 miles and 85 miles. Is it a right triangle.?

Answers

Answer: YES

Step-by-step explanation: It is

PLEASE HELP ASAP




NEEP HELP

Answers

Answer:

x = 14

Step-by-step explanation:

We have alternate interior angles that are congruent.

[tex]5x + 5 = 4x + 19[/tex]

[tex]x = 14[/tex]

Which expression is a factor of 21x2 + 13x – 20?

A 3x – 4

B 72 - 5

C 7x +4

D 30 + 5

Answers

Answer: A

Step-by-step explanation:

This seems to be the only applicable answer

(2a-16)+(3a+18)=17 what is a?

Answers

Hope this is the right answer .

LEMON SQUASH
1 part concentrate
to 2 parts water
If you put 140 ml of water in a glass,
how much concentrate should be added?

Answers

1:2
??:140

140 divide by 2 = 70
1 part = 70

Concentrate:water = 1:2

70ml:140ml

An art gallery wants to display 4 pieces of art in the front window. If there are 8 pieces to choose from, how many distinct displays are
possible?
A. 40,320
B. 10,080
OC. 1,680
D. 70

Answers

Answer: 70

Step-by-step explanation:

you would do 8C4

If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

To find the Ways can 8 pieces of art in the front window be arranged in the display window.

Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.

here we have

n= 8

r= 4

substituting the values,

[tex]^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680[/tex]

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

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18t
What is the value of t?
12t
15t

Answers

567872 + 16;6377273hdhejwnd

Give me an example of how you would solve 1+1 in the worst way possible

Answers

Answer:

add 20 subtract 20 multiply by 3 divide by 3 add 1

You have 1 cherry and your friend as 1 cherry. If you’re friend gives you their 1 cherry how many cherries do you have?

help me to solve this problem

Answers

Answer:

(More than an hour) Three times as many

(Less than an hour) Two times as many

Step-by-step explanation:

Suppose that 19 inches of wire costs 76 cents. At the same rate, how much (in cents) will 14 inches of wire cost?

Answers

Answer:

10.64

Step-by-step explanation:

19 inch cost 76 cents
1 inch cost 76/19
14 inch cost 76*46/19= 56 cents
Therefore, 56 cents will needed to buy 14 inches of wire cost

Which values are the solutions to the polynomial equation?
0 = x2 – 18x + 65

Answers

Answer:

If the question is [tex]2x^{2} -18x+65[/tex] then the answer is no real solution. If the question is 2x - 18x + 65 than the answer is -16x+65

Answer:

x = 13, 5

Step-by-step explanation:

x² - 18x + 65 = 0

step 1: multiply (1) and (65) together

step 2: find two negative numbers to add together to equal -18 but multiply together to equal 65.

step 3: since there isn't a number in front of x² you could:

(x - 13) (x - 5)

x - 13 = 0           x - 5 = 0

   +13  +13            +5   +5

x = 13                      x = 5

or

(x² - 13x) (-5x + 65)

x(x - 13) -5 (x - 13)

(x - 13) (x - 5)

x - 13 = 0      x - 5 = 0

  +13   +13       +5   +5

x = 13, 5

I hope this helps!

The population of a city is modeled with the function P = 250,000e^0. 013t, where t is the number of years since 2000. In what year will the population reach 450,000

Answers

[tex]P=250000e^{0.013t}\implies \stackrel{P}{450000}=250000e^{0.013t}\implies \cfrac{450000}{250000}=e^{0.013t} \\\\\\ \cfrac{9}{5}=e^{0.013t}\implies \log_e\left( \cfrac{9}{5} \right)=\log_e(e^{0.013t})\implies \ln\left( \cfrac{9}{5} \right)=0.013t \\\\\\ \cfrac{\ln\left( \frac{9}{5} \right)}{0.013}=t\implies 45.21\approx t\qquad \textit{about 45 years, 2 months and a half}[/tex]

paragraph explaining how the volume of a sphere in real world and mathmatical problems

Answers

Answer:

We can find the volume of a sphere using the volume of a cylinder. Cylinder is a solid which has a circular base. We know the fact that the volume of any solid is equal to the product of base area and height of the solid. So, the volume of a right circular cylinder of base radius ‘r’ and height ‘h’ is given by

Step-by-step explanation:

find the area of the composite figure

Answers

Answer:

84 square inches

Step-by-step explanation:

Just need the answer fast pls help

Answers

Answer:

121/49 a^8 b^2

Step-by-step explanation:

the answer is the last option

Factor 9p² +6p-8
Step 1: multiply a x c and write the new equation
Step 2: Divide by "a" and simplify the fractions. Write the new equation n factored form.
Step 3: Bottoms up and write the new equivalent equation in factored form.

Answers

I would recommend using the hook method for this problem
multiply the 9 to the back (8) to get
p^2 + 6p + 72
To get to (p +- _) (p+-_) form you must find out what 2 numbers add or subtract to get 6 and multiply to be 72.
These numbers are 12 and 6.
The factored form would be (p+12)(p-6)

Find the quotient of 2/5 and 4/5

Answers

Answer:

10/20 or 1/2

Step-by-step explanation:

Heres a picture to explain:

Please help!!!!!!!! How do I type?

Answers

Answer:

Keyboard fam

Step-by-step explanation:

Answer:

You press the buttons in the keyboard.

Step-by-step explanation:

hope it helps

sorry if I'm wrong

lol

The speedometer on Leona's car
ws the speed in both miles per
and kilometers per hour. Using
the mile per hour rate that is
valent to 40 kilometers per hour.

Answers

Answer: 24.86miles/hr

Step-by-step explanation: Divide the speed by 1.609 to convert

Find the nth term of this number sequence
7, 10, 13, 16, ...

help please !!

Answers

Answer:

[tex]a_{n}[/tex] = 3n + 4

Step-by-step explanation:

there is a common difference between consecutive terms , that is

10 - 7 = 13 - 10 = 16 - 13 = 3

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 7 and d = 3 , then

[tex]a_{n}[/tex] = 7 + 3(n - 1) = 7 + 3n - 3 = 3n + 4

Answer:

The nth term = 3n + 4.

Step-by-step explanation:

The formula for the nth term of an arithmetic progression is a(n) = dn + a(1) - d.

So this breaks down simply to,

a(n) = dn + a(1) - d a(n) = 3n + 7 - 3 a(n) = 3n + 4

The diameter of a circle is 5 cm. Find its area to the nearest whole number.

Answers

Answer:

79cm

Step-by-step explanation:

Area of a circle = πr^2

Plug in r: π(5)^2 = 79cm

How do you find the answer for surface area?

Answers

Answer:

720 m²

Step-by-step explanation:

The surface area of the prism is the sum of the areas of its 5 surfaces.

Area of triangle= ½ ×base ×height

Area of front face

= ½(6)(8)

= 24 m²

Area of back face= 24 m²

Area of rectangle= length ×breadth

Area of base

= 8(28)

= 224 m²

Area of right surface

= 10(28)

= 280 m²

Area of left surface

= 6(28)

= 168 m²

Total surface area

= 24 +24 +224 +280 +168

= 720

whats the biggest ten you can multiply by 3 but dont go over 42

Answers

Answer:

14

Step-by-step explanation:

3x14=42 it dosen't go over 42

Answer: 14

Step-by-step explanation:

3,6,9,12,15,18,21,24,27,30,33,36,39,42

3x14=42

what is the answer to In 3/4 of an hour Ryan codes 3/5 of his game. At this rate, how much of the game can he code in 1 hour?

Answers

Answer:

4/5 of game

Step-by-step explanation:

Rate  =  3/5 g / (3/4 hr) =   12/15 = 4/5  game per hour

PLS HELP FAST !!!



The chart below shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number

Answers

Using proportions, it is found that if the theater owner asked 100 people,  47 would prefer Drama.

What is a proportion?

A proportion is a fraction of a total amount.

From the table, out of the 7 + 18 + 7 + 6 = 38 people surveyed, 18 prefered drama. Hence the proportion is given by:

p = 18/38 = 0.47.

Out of 100 people, the amount would be given by:

A = 0.47 x 100 = 47.

More can be learned about proportions at https://brainly.com/question/24372153

A graph titled Fast Freddy has time (minutes) on the x-axis and Distance (miles) on the y-axis. A line goes through points (0, 0) and (4, 1). A 2-column table with 3 rows titled Speed Sam. Column 1 is labeled Time (minutes) x with entries 4, 20, 32. Column 2 is labeled Distance (miles) y with entries one-half, 2 and one-half, 4.
Find the slope from the graph and from the table to compare the speeds of two marathon runners.

What is the constant speed of Fast Freddy?

What is the constant speed of Speedy Sam?

Who ran faster?

Answers

Using linear function concepts, it is found that:

The constant speed of Fast Freddy is of 0.25 miles per minute.The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

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 Fast Freedy, we have that he run one mile in four minutes, hence the slope is given by:

mF = 1/4 = 0.25 miles per minute.

The constant speed of Fast Freddy is of 0.25 miles per minute.

For Speedy Sam, when the the time changes by 16 minutes, the distance changes by 2, hence his slope is given by:

mS = 2/16 = 1/8 = 0.125 miles per minute.

The constant speed of Speedy Sam is of 0.125 miles per minute. Hence, due to the higher speed, Fast Freedy ran faster.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

Answer:

1/4 1/8 and Freddy was faster

Step-by-step explanation:

Find the sum. 5/2x + 4/3y

A. 9/2x + 3y
B. 15y + 8x/6xy
C. 23xy/6xy
D. 3/2xy

Answers

Answer:

B

Step-by-step explanation:

[tex]\dfrac{5}{2x} + \dfrac{4}{3y}=\dfrac{15y+8x}{6xy}[/tex]

if a=3,b=−1 and c= −2,3ac-4c²/ 5ab​

Answers

Step-by-step explanation:

Given expression,

[tex]\\ \longrightarrow \qquad \sf \frac{3ac-4c²}{ 5ab} \\ \\ [/tex]

Now, when a = 3, b = -1 and c = -2 we get,

[tex]\\ \longrightarrow \qquad \sf \frac{3.3.( - 2)-4. {( - 2)}^{2} }{ 5.3.( - 1)} \\ \\ [/tex]

[tex] \longrightarrow \qquad \sf \frac{3.( - 6)-4. 4 }{ 5.( - 3)} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ - 18-16 }{ - 15} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ - 34 }{ - 15} \\ \\ [/tex]

[tex]\longrightarrow \qquad \sf \frac{ 34 }{ 15} \\ \\ [/tex]

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