The shortest route from London to Swansea is 180 miles. A lorry is expected to take 4.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 15%, but it still arrives in 4.5 hours. By how many more mph than the expected speed does the lorry travel?​

Answers

Answer 1

Answer:

6mph

Step-by-step explanation:

180/4.5=40

180 × (1+15%)=207

207/4.5=46

46-40=6


Related Questions

How can you tell that x and y are NOT directly proportional? A) x is 0 when y is 0. B) y is getting farther away from x. C) x is increasing by the same amount. D) y is increasing by different amounts.
x y
0 0
1 3
2 5
3 9

Answers

Answer:

D) y is increasing by different amounts.

Answer:

d

Step-by-step explanation:

read what on the image and it is so easy

Answers

F - 1.47

The largest box represents 100 small cubes or 1. The four pillars represent 10 and there is four of them so it is 40. Then, the individual cubes are 7. So, 1.47.

help me againnnnnnnnnnnnnnnnnnnnnnn

Answers

Step-by-step explanation:

(2m + 4) / 8 = w

2m + 4 = 8w

2m = 8w - 4

m = 4w - 2

Step-by-step explanation:

option A is correct.

hope this answer helps you dear! take care

write the equation of the line given the two points. (1,-2) and (1,5)

Answers

Answer:

x=1

Step-by-step explanation:

y=mx+b

5--2/1-1

7/0

I need help with numbers 17 and 18.

Answers

Answer:

  17.  D

  18.  C

Step-by-step explanation:

For both of these questions, you only need a general understanding of what rotation, translation, and dilation do. That is sufficient to let you choose the correct answer.

17.

The coordinates of Y are both negative, so it is a point in quadrant III on the graph. Rotating a point in quadrant III 270° clockwise will rotate it through quadrants II and I to quadrant IV, where it will be to the right and below the origin. Translation 9 units right and 5 units down will put it farther to the right and farther below the origin, still in quadrant IV.

As you know, translation right 9 units adds 9 to the x-coordinate. Translation down 5 units subtracts 5 from the y-coordinate. That means the coordinates of Y' must have x > 9 and y < -5. There is only one answer choice like that:

  D.  Y'(11, -8)

__

18.

Dilation about the origin multiplies each coordinate by the scale factor. It does not change the quadrant of a point on the graph. The original coordinates of R are (negative, positive), so it is in quadrant II. The dilated point will still be in quadrant II, but will be closer to the origin. Both coordinate values will change.

  R' = (1/3)R = (1/3)(-2, 3) = (-2/3, 3/3)

  R' = (-2/3, 1) . . . . . matches choice C

1,7,19,37,61,91,127,169…

Answers

Answer:

Sequence sum? but it has no right sequence

Which of the following is equivalent to the expression below? (2^5)(2^6)
(A) 2^11
(B) 2^30
(C) 4^11
(D) 4^30

Answers

Answer:

(A) 2^11

Step-by-step explanation:

2^11. These are like bases, which means you can add the exponents. You can not do this if the base, in this case 2, is not the same. You can also not add, for example, 2^3 + 2^4 does not equal 2^7.

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
20% still got the flu. Of those who did not receive the flu shot, 65% got the flu.
Use the tree diagram to determine the probability that a person with the flu is a person who received a flu shot.
Enter your answer as a decimal to the ten thousandths place.
=> 0.1165

Answers

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).65% of 70%(did not get the shot).

Hence:

[tex]P(A) = 0.2(0.3) + 0.65(0.7) = 0.515[/tex]

The probability of both having the flu and getting the shot is:

[tex]P(A \cap B) = 0.2(0.3) = 0.06[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165[/tex]

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at https://brainly.com/question/14398287

Answer:

flu shot

flu

no flu

.30

.20

Step-by-step explanation:

trust

Max points i need this for finals

Answers

Answer:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]

Step-by-step explanation:

[tex]Slope (m) = \frac{y}{x} = \frac{3}{1} =3[/tex]

[tex]0 = arctan(\frac{y}{x}) + 180^o = 251.56505117708^o[/tex]

X = -4 – -2 = -2

Y = 4 – 10 = -6

[tex]Distance (d) = \sqrt{x^2+y^2}=\sqrt{40} = 6.3245553203368[/tex]

Equation of the line:

y = 3x + 16

When x=0, y = 16

When y=0, x = -5.3333333333333

Dan works in the sales department for sporting goods company. Dan gets a 15% commission on every bike he sells. If Dan sold 227 bikes at $70 each, how much money did Dan make?

Answers

Y = 70x • .15
y is his total money earned.
x is how many units he sells
so if he sells 227 bikes it’s 70 • 227 which is 15,890 then times it by .15 because he makes 15% and it’s 2.383.5. so he made $2,383 50¢!

Emika has a monthly budget for her cell phone bill.
Last month she spent 120% of her budget, and the bill
was $60.
What is Emika's monthly budget?

Answers

Emika's monthly budget is $60.

A percentage can be described as the fraction of a number multiplied by 100. The sign used to represent percentages is %.

Let Emika's cell phone bill budget be represented with x.

In order to determine his monthly budget, divide $60 by 120%

x = $60 / 120%

x = $60 / 1.20

x = $50

To learn more about percentages, please check: https://brainly.com/question/25764815

The ratio between an exterior angle and the interior angle of a regular polygon is 1: 3. Find the number of sides of that polygon. Please help D:

Answers

Answer:

8 sides.

Step-by-step explanation:

The sum of each of the interior and exterior angles = 180 degrees.

Therefore as the ratio is 1:3 the exterior angles are all = 1/4 * 180

= 45 degrees.

So the number of sides = 360/45 = 8.  ( As the sum of the exterior angles in all polygons = 360 degrees).

A printer is printing photos. For every 8 photos, the printer takes 2 minutes. Complete the table below showing the number of photos and the time it takes to print them.

Answers

Min. Photos
2. 8
4. 16
8. 24
…. ….

I think this is what your asking. Hope this helps!

For every two minutes you +8 to the amount of photos you have. And if you only by one minute you +4 to the amount of photos you have.

Which numbers between 10 and 99 have digits that differ by 4 and add to 6

Answers

Answer:

A

Step-by-step explanation:

Correct option is A)

Let a 3-digit number ABC

Case (1)

If A=7, then B  and  C can be any digit but not 7

so, total 9 digits (0,1,2,3,4,5,6,8,9) can replace B and C

Then total such combinations =1(9)(9)=81

Case (2)

If B=7  then A can be any digit but not  0 and 7, because if A=0 it will be a 2-digit number.

And C can be any digit but not 7

Then total combinations =(8)(1)(9)=72

Case (3)

If C=7  then A can be any digit but not 0 and 7, because if A=0 it will be a 2-digit number.

And B can be any digit but not 7

Then total combinations =(8)(9)(1)=72

So, total numbers between 99 and 1000 which have exactly one of their digits as 7 are =81+72+72=225

Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?

Answers

Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00

The 20% was applied after the coupon so the price after the coupon was:

= Total price / ( 1 - Discount)

= 60 / ( 1 - 20%)

= $75

The coupon was $10 so before it was attached it the price was:

= Price after coupon + coupon

= 75 + 10

= $85

In conclusion, the original price was $85.

Find out more on this at https://brainly.com/question/14413529.

Plz I need help! On these 3 questions!

Answers

Answer: 1. Angle MHG 2. Angle LHM 3. Angle LHK and KHJ and the measures are 35 each

Step-by-step explanation:

1. The order you put the angle points in isn’t super important, as long as the middle point of the angle stays between the two letters, so angle ABC can be angle CBA as long as the b stays in the middle

2. You can find out the LHM is a right angle by looking at the protractor and counting

3. Congruent = Equal and both angles equal 35 degrees.

Answer:

1. Acute Angle

2. MHL

3. LHK and KHJ

Step-by-step explanation:

1. Since GHM has an angle less than 90˚ it is an acute angle

2. MHL is an Right Angle as 110-20 is 90˚ and an right angle is 90˚

3. LHK and KHJ both has an angle of 35˚

Hope this helps!

The statue of liberty casts a 122 foot shadow at the same time ryan casts a 2 foot shadow. If the statue of liberty is 305 feet tall how tall is ryan?

Answers

Step-by-step explanation:

2 objects and their shadows create 2 similar right-angled triangles.

that means all angles are the same, and the side lengths of one triangle correlate to the corresponding side lengths of the other triangle via the same factor.

so,

122 × f = 2

f = 2/122 = 1/61

therefore, Ryan is

305 × f = 305 × 1/61 = 5 ft

tall.

If the Statue of Liberty is 305 feet tall, Ryan is 5 feet tall.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

The length of shadow of Statue of Liberty = 122 foot.

The length of shadow of Ryan = 2 foot.

Also, the height of Statue of Liberty = 305 feet.

Let the height of Ryan = x

To find the value of x,

Use ratio and proportion method,

122 / 305 = 2 / x

x = 2 x 305 / 122

x = 305 / 61

x = 5

The height of Ryan is 5 feet.

To know more about Proportion on:

https://brainly.com/question/7096655

#SPJ5

Given f(x) = 3. + 1, solve for when f(3) = 7.

Answers

Answer:

The question is incomplete

The yellow submarine was at sea level when the passengers boarded. The journey began with a descent of 40 meters. After examining the sea life, they rose 30 meters. Zach thought he saw an octopus, below. They dove again, a distance of 25 meters to watch the eight ‘legged’ sea creature.
a) Write an expression to describe the journey of the yellow submarine. _________________________________

b) At what depth did they stop to look at the octopus? ______________________

Answers

Answer:

20 meters

Step-by-step explanation:

..................

The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.How many days did it take the grass to grow 1 centimeter?How many centimeters did the grass grow in 1 day

Answers

Answer:

Step-by-step explanation:

16 cm / 10 days = 1.6 cm/day

10 days / 16 cm = 0.625 days/cm

Find the polynomial function in standard form that has the zeros listed. 1(multiplicity 2), -2(multiplicity 3)​

Answers

Answer:

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

Step-by-step explanation:

If p is a zero, then (x -p) is a factor. The multiplicity of the zero tells you how many times that is a factor (its exponent).

  f(x) = (x -1)²(x +2)³ = (x² -2x +1)(x³ +6x² +12x +8)

  f(x) = x⁵ +4x⁴ +x³ -10x² -4x+8

_____

Additional comment

You can use the distributive property to write out the 12 terms of the product of the two expanded factors, or you can do a little mental arithmetic based on what you know about the exponent of a product term. (It is the sum of the exponents of its factors.)

The mental exercise can be made easier by writing the coefficients of the factors as though they were two cubics. It works well to write them in two rows:

  [tex]\left[\begin{array}{cccc}0&1&-2&1\\1&6&12&8\end{array}\right][/tex]

The columns are in order of decreasing powers of x. A relatively simple and symmetrical pattern of sums of cross products is used to find the coefficients of the final polynomial. Working in order of decreasing exponents, we have ...

coefficient of x^6 = (0)(1) = 0

coefficient of x^5 = (0)(6) +(1)(1) = 1

coefficient of x^4 = (0)(12) +(1)(-2) +(1)(6) = 4

coefficient of x^3 = (0)(8) +(1)(1) +(1)(12) +(6)(-2) = 1

coefficient of x^2 = (1)(8) +(6)(1) +(-2)(12) = -10

coefficient of x^1 = (-2)(8) +(12)(1) = -4

coefficient of x^0 = (1)(8) = 8

Raisins and nuts were mixed in a bowl. If nuts made up five eighths of the mixture, what was the ratio of raisins to nuts

Answers

Answer:

3/8

Step-by-step explanation:

hope this helped

cualquier es la siguiente expresiones equivalentes a(4x-5) (3x+7)

Answers

Answer:

21

Step-by-step explanation:

21jshe 21jjxjdjdbxhxbdhxbdh21

Creo que la respuesta es 12x^2 +13x -35

A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.

Answers

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

[tex]n + n + n + n + n + n + n + n + n = 80[/tex]

or

[tex]9n = 80[/tex]

Solve for n

[tex]n = \frac{80}{9} [/tex]

This rounded would make our interger side, 9

how do i solve use the GCF and the distributive property to express a sum as a product 52 +20+36

Answers

Answer: just add them all up add 50+20+36 then you get 106

Step-by-step explan

equivalent ratio tables​

Answers

Answer:

11, 44, 24

Step-by-step explanation:

On the right side column you are adding 11 every time you add 4 on the left side column

For example :

4:11

8:22

12:33

16:44

20:55

24:66

Hope this helps!!! :)))

Write the fraction 35/42 simplest form

Answers

Answer:

5/6

Step-by-step explanation:

Construct a bar graph for the relative frequencies given

Answers

yes this is not correct br

10 < 2 - d solve for d

Answers

10 < 2 - d

10 - 2 > -d

8 > - d. When dividing with negative the sign switches so..


d > -8

Hope this helps!
Brainliest is much appreciated!

Answer:

d< -8

Step-by-step explanation:

10 < 2 -d

Add d to both sides: 10 + d < 2 -d + d

Simplify: 10+d<2

Subtract 10 from both sides: 10 + d - 10 < 2 - 10

Simplify: d < -8

Sorry if I'm wrong or didn't explain right. I tried my best. Enjoy your answer and have a great day. Thanks :)

what is 100,100,100,987 times 72

Answers

Answer: 7207207271064

The answer is 7.2072073e+12
Other Questions
A dog's leash is tied to a pole while the owners go into a restaurant to get the dogsome water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-circle, how many feet can he walk if he extends the leash as far as it can go? Roundyour answer to the nearest foot, and enter the number only. write the preterite of the verbs in parentheses please Stacey is selling popcorn at a rate of $2 per bag. She is only charging a one time thing for $0.50 for tax. What is the equation of this description? The process of erosion can best be described as the movement of weathered materials by: At the fair, 220 balloons are given to 40 children, 3/8 of whom are girls. Each boy receives the same number of balloons. Each girl receives twice as many balloons as each boy. How many more balloons do all the girls receive than all the boys? Suppose x and y are positive integers that satisfy the following equation: 7xy + 7y - 9x + 10 = 2019 Find the sum of x and y.A. 15B. 18C. 21D. 34E. No possible values Match the phenomena to the appropriate water state transformation. Condensation on a glass of water O liquid to solid O liquid to vapor O Vapor to solid O vapor to liquid When people are having trouble communicating, it can be helpful to find a good time to discuss the way they communicate. This is also called...Group of answer choicessemanticscircular causalitypositive feedbackmetacommunication what did thomas jefferson and alexander hamilton have in common?1.Dislike for factions2.A preference for a strict interpretation of the constitution 3.A desire for a national bank 4.Support of the british in their war against france? What is the measure of the third angle of this triangle?Please explain how to solve in a easy way Determine all the zeros of the function y = 3x^2 - 2x - 2 Which elements atoms have 2 electrons in the first energy level and 4 electrons in the second energy level?A. CarbonB. NitrogenC. HeliumD. None of the above Which of the following are examples of what scientists can learn from studying fossils?Select all that apply PLEASE HELPWhich reason for Allied victory is supported by the chart?Question 2 options:fewer wounded soldiersgreater number of troopsdeadliest weaponstook more prisonersQuestion 3 (1 point) SavedWhat is one reason why millions of European and Russian civilians died during World War I?Question 3 options:They were not as strong as civilians during other wars.They did not hide from the enemy.The Allied troops ignored their plightMuch of the fighting took place in Europe and Russia.Question 4 (1 point) SavedCivilian casualties in World War I wereQuestion 4 options:fewer than military casualties.extremely rare.increased by disease and starvation.primarily due to overwork.Question 5 (1 point) SavedWhich country recruited colonial troops from India in World War I?Question 5 options:BritainFranceGermanyJapanQuestion 6 (1 point) SavedAfter World War I, some colonies that had participated made demands for independence primarily becauseQuestion 6 options:Colonists had been promised independence if they participated in the war.American troops taught colonists that all men are created equal.colonists were inspired by the example of the Russian Revolution.colonists were afraid for their jobs in the unstable European economy. what is interesting about the use of the narrator in The End of Something Rank the sources of Earth's water from largest to smallest What is the best way to think about setting?a. The mood and feeling of the storys surroundingsb. The location where a story takes placec. The time when a story takes placed. All of the above Help with this worksheet please (24pts) what are 4 quarts in one gallon but in a fraction form 1Which of the following is BENEFIT of using natural fertilizer?O its cost effective (cheap)O you know exactly what nutrients/minerals are in itit adds to the soil and makes it better long termO it could lead to e. coli outbreaks