5. A motorist leaves Derby at 10:55 and arrives in Leicester 1 14 hours later. The
distance from Leicester to Derby is 50 miles.
a) At what time did he arrive in Leicester?
b) What was his average speed in mph?

Answers

Answer 1

Answer:

a. 12:10 pm

b. 40 mph

Step-by-step explanation:

Assuming you meant to type 1 ¹/₄ hours later.

a. First convert that to a improper fraction and then a decimal:

= 5/4

= 1.25 hours

1.25 hours in minutes is:

= 1.25 * 60

= 75 minutes

= 1 hour 15 minutes

The motorist left at 10:55.

= 1055 + 1 hour

= 11:55

Add 15 minutes:

= 12:10 pm

b. Speed = Distance / Time

= 50 / 1.25 hours

= 40 miles per hour


Related Questions

2. Write the equation –3x + 5y = 10 in slope-intercept form.

Answers

Y=3/5x+2

Hope this helps

how do you complete this task?

Answers

Answer:

-3/2

Step-by-step explanation:

y=mx +b

where m is the slope and b is the y intercept

we just need to rewrite 3x+2y+18=0 to look like that

We need to get y by itself

3x+18= -2y

we need y to be positive and to have no number in front of it (no coeficcent)

y= -3/2x-9

the slope is therefore -3/2

Answer:

[tex]-\frac{3}{2} [/tex]

Step-by-step explanation:

3x + 2y + 18 = 0

Equating it with.

ax + by + c = 0, we find:

a = 3, b = 2, c = 18

Slope of the line [tex] =- \frac{a}{b} =-\frac{3}{2} [/tex]

A number equals four less than three times the number.
How do you write this equation

Answers

Answer:

n = 4 - 3

Step-by-step explanation:

2x+3y=5x-y2x+3y=5x−y

Answers

Here you go, please tell me if you got it right or wrong. Good luck! I’m sorry if it’s incorrect btw.

The interval(s) for which the function shown below is increasing

Answers

Answer:

everywhere except between 2 and 5

(between -inf and 2 and between 5 and inf)

Step-by-step explanation:

pls brainlist

A function assigns the value of each element of one set to the other specific element of another set. The interval for which the given function is increasing is (-2,0).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

The given function is increasing only when the slope of the function is positive and when the value of x is increased from -2 to 0. Therefore, it can be concluded that the interval for which the given function is increasing is (-2,0).

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what is 0.48 times 0.4

Answers

Answer:

0.193

Step-by-step explanation:

Pls help!! i beg you

Answers

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

   

   

Hope It Helps!

Which expression are equivalent to 5(1/3x + 7)-3(1/2x -4)? Select three options.

Answers

Answer:

Step-by-step explanation:

The middle three expressions are equivalent.

Answer:

The above answer is correct

hope it is helpful to you

Convert the expression (√5)(∛5) to exponential form. Show your work.

Answers

Answer:

[tex] {5}^{ \frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]

Put these fractions in order of size

Answers

1/6 = 4/24
3/8 = 9/24
11/24
1/3 = 8/24
5/12 = 10/24

1/6, 1/3, 3/8, 5/12, 11/24

Can you help me on question 25?!

Answers

Not sure if I’m correct because I don’t know if I solved it the right way but it should be(and this is just a guess) A.

Compare the numbers using >,<, or =
874,023______874,233

5,493,820______5,492,483​

Answers

Answer:

<

>

Step-by-step explanation:

We have two sets of numbers and are asked to compare using the <, >, = symbols.

Remember :

< means less than

> means greater than

= means equal to

One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?

874,223.

<

Now for the second set,

>

£2,300 is invested for 4 years at 5% per year simple interest work out the total interest​

Answers

Answer:

£460

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 2300 × 0.05 × 4 = 460

I = £ 460.00

The simple interest accumulated

on a principal of £ 2,300.00

at a rate of 5% per year

for 4 years is £ 460.00.

The dry cleaning fee for three pairs of pants is $18. How much will it cost to clean 11 pairs of pants?

Answers

Answer: Constant of proportionality is $6 for one pair and cost of dry cleaning 11 pairs of pants is $66.
11 pairs of pants would equal $66

$18/3=6
$6 per one pair of pants
6 times 11= 66
$66

Hope this helps! Have a great day :)

what factors you think determines more earthquakes will occur in an area

Answers

Answer:

Ground shaking is the primary cause of earthquake damage to man-made structures. Many factors influence the strength of earthquake shaking at a site including the earthquake's magnitude, the site's proximity to the fault, the local geology, and the soil type.

The places on the planet where one plate meets another are the most prone to earthquakes. The specific surfaces where parcels of earth slip past each other are called faults. As plates move, pressure builds up across their boundaries, while friction holds them in place

Over 80 per cent of large earthquakes occur around the edges of the Pacific Ocean, an area known as the 'Ring of Fire'; this where the Pacific plate is being subducted beneath the surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.

What is the sum of 4 1/2 + 5 1/2?

Answers

Answer:

10

Step-by-step explanation:

5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10

Anthony spent $10.24 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.00 tip. How much did Anthony have left from his twenty dollar bill? A. $0.80 B. $7.76 C. $9.76 D. $12.24

Answers

Answer:

$7.96

Step-by-step explanation:

20 - 10.24 = 9.96 - 2 = $7.96

1 Which size Yogli Mogli which yogurt size gives you the best price per ounce?
Small 5 oz. cup for $2.50

Medium 10 oz cup for $3.49

Large 15 oz. cup for $5.99

Super Size 24 oz. cup for $6.59
a. Small
b. Medium
c. Large
d. Super Size
Plz respond quickly for the best answer

Answers

Super size gives you the best price per ounce

-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?

Answers

Answer:

-3

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

=-3

hopes this helps?!?!

Answer -2

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

-3-1+1+1

-4+2

=-2

please help me find the value of x​

Answers

Answer:

67°

Step-by-step explanation:

Corresponding angles are equal in parallel lines.

Here, ∠acb and ∠aed are corresponding angles for lines bc and de

hence ∠aed = ∠acb = 39

in triangle ade,

x + 74 + 39 = 180 (angle sum property of a triangle)

x = 67°

what is the area of a circular swimming pool with the radius of 3 feet

Answers

Answer:

9[tex]\pi[/tex]

Step-by-step explanation:

r=3

Area of circle: [tex]\pi[/tex][tex]r^{2}[/tex]

boole summation formula used in real life

Answers

Elbert frank cox? I think

A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).

(a) Determine the slope of the new road.

(b) Determine the equation of the new road.

Answers

Determine the equation of the new road

a) The slope of the new road is given by m = -4

b) The equation of line is y = -4x + 32

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be represented as P ( 4 , 7 )

Let the second point be represented as Q ( 2 , 15 )

Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 15 - 7 ) / ( 2 - 4 )

Slope m = 8 / -2

Slope m = -4

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 4 = ( -4 ) ( x - 7 )

On simplifying the equation , we get

y - 4 = -4x + 28

Adding 4 on both sides of the equation , we get

y = -4x + 32

Hence , the equation of line is y = -4x + 32

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Choose >, <, or = to compare each pair of numbers

5.31 ______ 5.13

Answers

Answer:

>

Step-by-step explanation:

Answer:

5.31 > 5.13

Step-by-step explanation:

5.31 is greater than 5.13 as it is farther than 5.13 on the number line.

9. Rob usa el cálculo mental para resolver 90 – 30.
Dice que 9 decenas menos 3 decenas son
6 decenas, o 60. ¿Esto es verdadero o falso?
Encierra tu respuesta en un círculo.

Verdadero

o

Falso

Answers

Versadero. Espanōl eeee

In order of operation plsss help 10/5 + 3 x 5 - 5

Answers

The answer is 12
Step one- 10 divide by 5 is 2
Step two- 3 times 5 is 15
Step three- add them together is 17
Step four- then subtract 17 from 5
Final step- then your answer will be 12

how do you know how many solutions are possible for a system of equations

Answers

Answer:

Step-by-step explanation:

If the slopes are the same but the y-intercepts are different, the system has no solution.

If the slopes are different, the system has one solution.

If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

Step-by-step explanation:

If you mean linear systems. If lines have a different slope there will be one solution. If they have the same slope (parallel) and a different y intercept there are zero solutions. If they have same slope and y intercept than they are the same line and have an infinite number of solutions.

20 pounds of beans are distributed equally into 16 bags to give out at the food bank how many pounds of beans are in each bag​

Answers

The answer is 1.25 because 20%16 is 1.25 and each bag is equal therefore it is 1.25

A store sells paint sets. Each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends
$16.02 on 3 paint sets at the sale price.
What was the price of I paint set before the sale? Enter the answer in the box.

Answers

Answer:

$6.89

Step-by-step explanation:

Answer:

6.89

Step-by-step explanation:

when Emily bought 3 paint sets on sale each was worth 5.34. at original price it was 6.89

calculate the area of this triangle 18cm, 14cm and height is 11cm​

Answers

Answer : 99cm^2

Hope this helps

The area of the triangle with a height of 11 cm and a base of 18 cm is,

99 cm².

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.

Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We also know,

The way of classifying a triangle,

If a² + b² < c² then it is an acute angle triangle.

If a² + b² = c² then it is a right-angle triangle.

If a² + b² ≥ c² then it is an obtuse angle triangle.

The area of a triangle is half times the product of the height and base.

The given triangle has a height of 11 cm and a base of 18 cm.

Therefore, The area of the triangle is,

= (1/2)×18×11 cm².

= 99 cm².

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