The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?

Answers

Answer 1

Answer:

72 mph

Step-by-step explanation:

Please give brainliest

You have distance =210 miles

Increase it by 20%

210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.

The new route is 252 miles

Time travelled = 3.5 hours

Speed=distance/time

Speed = 252/3.5 = 72 mph


Related Questions

Peter made a rectangular sandbox for his brother to play in. The sand box measured 4 feet by 5 feet by 1 One-half feet. How much sand will fill the sandbox?
A: 30 ft2
B: 30 ft3
C: 67 ft2
D: 67 ft3

Answers

The answer is B.

we need to find the volume of the box, so we have to multiply the 4x5x1.5. That equals 30. Since we multiply 3 different quantities of feet together, the unit is ft cubed, so the answer is b 30ft3.

Lauren has 108 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 9 kids on her block. Write an equation to show how many pieces of candy each kid will receive. Somebody please Help!

Answers

Answer:

108/9 = 12

Take the total amount of Candy (108) and divide it by the amount of people that will receive an equal amount (9). 108/9 = 12

A store uses the expression -2p+ 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere
from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue? (Revenue =
price x number of backpacks.)
$9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
$12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

Answers

Answer:

B: $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.

Step-by-step explanation:

Answer:

first dude is right :)

Step-by-step explanation:

Help! Please show work and identify the solution or how many solutions there are to the system

Answers

Answer:

Step-by-step explanation:

the two given lines are parallel.

Hence they do not intersect.

or they have no solution.

Find the unknown side of the triangle below (round to the nearest tenth).

A. 18 cm
B. 22.9 cm
C. 26.9 cm
D. 21.2 cm

Please answer this

Answers

[tex]answer = 22.9 \: cm \\ solution \\ hypotenuse = 25 \: cm \\ perpendicular = x \\ base = 10 \: cm \\ now \\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {p}^{2} = {h}^{2} - {b}^{2} \\ or \: {x}^{2} = {25}^{2} - {10}^{2} \\ or \: {x}^{2} = 625 - 100 \\ or \: {x}^{2} = 525 \\ or \: {x} = \sqrt{525} \\ or \: x = 22.9 \: cm \\ hope \: it \: helps[/tex]

2a) What is the side length of the following square?*

Answers

Answer:

Exact answer: [tex] \sqrt{29} [/tex]

Approximate answer: [tex] 5.385 [/tex]

Step-by-step explanation:

Start at the bottom vertex.

Go up 5 units, then go left 2 units. Now you're at the left vertex.

The vertical segment 5 units long and the horizontal segment 2 units long are the legs of a right triangle. The left side of the square is the hypotenuse of that right triangle.

We now use the Pythagorean theorem to find the length of the hypotenuse.

[tex] c^2 = a^2 + b^2 [/tex]

[tex] c^2 = 5^2 + 2^2 [/tex]

[tex] c^2 = 25 + 4 [/tex]

[tex] c^2 = 29 [/tex]

[tex] c = \sqrt{29} [/tex]

[tex] c \approx 5.385 [/tex]

Which tree diagram shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that
has four sides labeled 1 through 4?

Answers

Answer:

D : This is because there are 8 outcomes and 2 events.

It cannot be C as C does not show true event outcomes on each H or T event.

Step-by-step explanation:

Tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin:

The coin has two faces: head and tail

possibility set = {H, T}

Number of total possible outcomes = 2

In a pyramid that has four sides labeled 1 through 4:

possibility set = {1, 2, 3, 4]

So a number of possible outcomes = 4

If the tossing a coin and rolling a fair number of pyramid

So the number of possible outcomes = 2×4 = 8

Thus, tree diagram (D) shows all of the possible outcomes for tossing a coin and rolling a fair number pyramid that has four sides labeled 1 through 4 option (D) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Solve -8(x+6)-1=5(x-2) for x

Answers

The value of X is -3.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex]x = - 3[/tex]

Step-by-step explanation:

[tex] - 8(x + 6) - 1 = 5(x - 2) \\ - 8x - 48 - 1 = 5x - 10 \\ - 8x - 5x = 48 + 1 - 10 \\ - 13x = 39 \\ \frac{ - 13x}{ - 13} = \frac{39}{ - 13} \\ x = - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

HELP! WILL GIVE BRAINLIEST TO BEST ANSWER!!! BE VERY DETAILED PLEASE <3 Examine your selected object and the construction you made from 1.08. Which transformations (translations, reflections, or rotations) are present in the constructions?

Answers

Answer:

It's Rotated I believe

Step-by-step explanation:

Can you help me please!!✌✌

Answers

Answer:

15 dogs

12 cats

Step-by-step explanation:

Let's call the number of cats c, and the number of dogs d.

4d=5c

c+d=27

4c+4d=108

4c+5c=108

9c=108

c=12

d=27-12=15

Hope this helps!

Answer:

15 dogs and 12 cats

Step-by-step explanation:

You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.

4:5 (*3)

12:15

What is the result of subtracting the second equation from the first?
-2x + y = 0
-73 + 3y = 2

Answers

Answer:

The result is 2x + 2y - 73 = 2.

-2x + y = 0 (equation1)
-73 + 3y = 2 (equation 2)
First of all, rearrange and simplify equation so they’re in the format of y= ax + b.

Equation 1
-2x + y = 0
y = 2x + 0
y = 2x

Equation2:
-73+3y=2
3y = 2 + 73
3y = 75
3y/3 = 75/3
y= 25
Subtract second equation from first:)
y= 2x - 25
Hope this helped :)

Which expression is modeled by this set of arrows on the number line? A number line going from negative 8 to positive 8. An open circle is at 0. An arrow goes from 0 to negative 3, and from negative 3 to negative 6. Negative 6 divided by (negative 3) Negative 6 divided by 3 6 divided by (negative 3) 6 divided by 3

Answers

Answer:

A  -6 divided by (-3)

Step-by-step explanation:

pls give brainliest!!! i would REALLY appreciate it! hope i helped :3

The expression which model the given statement is

" negative six is divided by negative 3"

What is expression?

The mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between is called expression.

According to the given question.

An arrow goes from 0 to -3. And then -3 to -6.

This shows that from 0 to -6 the line in divided into two parts. And each part is 3 units.

Therefore, the expression which model the given statement is

" negative six is divided by negative 3"

or [tex]\frac{-6}{-3}[/tex] which is equals to 2.

Hence, the required expression is -6/-3.

Find out more information about expression here:

https://brainly.com/question/5503202

#SPJ3

V
Ben and Phoebe are finding the slope of a line. Ben chose two points on the line
and used them to find the slope. Phoebe used two different points to find the
slope. Did they get the same answer? Complete the explanation.
TE
The slope of a line (select)
the same answer.
from point to point, so they (select)
get
PO

Answers

Answer:

They got the same answer

Step-by-step explanation:

A slope is completely linear, and the rate of change is constant, so no matter what points are chosen, the rate of change will be the same.

For what values of m, the relation K= {(2.3m + 45, 0), (−67m − 8.9, 0)} is a function?

Answers

Answer:

The relation is a function for all m-values different than -53.9/69.3

Step-by-step explanation:

If the relation is a function, then we can say that

[tex]2.3m+45\neq -67m-8.9[/tex]

Solving for [tex]m[/tex], we have

[tex]2.3m+67m\neq -8.9-45\\69.3m \neq -53.9\\m \neq - \frac{53.9}{69.3}\\[/tex]

Therefore, the relation is a function for all m-values different than -53.9/69.3

Factor the expression given below. Write each factor as a polynomial in
descending order. Enter exponents using the caret (^). For example, you
would enter x2 as x^2.
343x3 + 216y3

Answers

Answer:

  (7x +6y)(49x^2 -42xy +36y^2)

Step-by-step explanation:

The factoring of the sum of cubes is a special form:

  a³ +b³ = (a +b)(a² -ab +b²)

We recognize the given expression as a sum of cubes, so we can use this pattern to factor it.

Identifying the cubes

From our memory of the cubes of small numbers (or from the cube root function of our calculator), we can identify the terms as ...

  343x³ +216y³ = (7x)³ +(6y)³

Application

Our factoring pattern above can be used with ...

a = 7xb = 6y

Substituting these values, we have ...

  343x³ +216y³ = (7x)³ +(6y)³ = (7x +6y)((7x)² -(7x)(6y) +(6y)²)

  343x³ +216y³ = (7x +6y)(49x² -42xy +36y²)

What would be the cost for 5 of the gift cards?

Answers

Answer:100 is the answer

Step-by-step explanation: your going up 20 every dot my G

Answer:

$100

Step-by-step explanation:

True or False?
When multiplying powers with the same base, you subtract the exponents. When dividing powers with the same base, you multiply the exponents. When raising a power to a power, you divide the exponents? EXPLAIN YOUR REASONING

Answers

Answer:

False

Step-by-step explanation:

(x^3)(x^4) = (xxx)(xxxx) = x^7 when multiplying you add the exponents

(x^5)÷(x^2) = (xxxxx)÷(xx) = xxx or x^3 because two of the x's reduce therefore when dividing you subtract the exponents

(x^2)^3 = (x^2)(x^2)(x^2) = (xx)(xx)(xx) = x^6 when raising a power to a power you multiply the exponents

A hemisphere has a radius of 8 centimeters. If a cone whose diameter is the same and whose height is equal
to the radius of the hemisphere removed, what volume remains of the hemisphere?
(1) 483 cubic centimeters
(2) 536 cubic centimeters
(3) 589 cubic centimeter
(4) 614 cubic centimeters​

Answers

Answer:

The volume remaining is approximately  536 cm³

Step-by-step explanation:

The volume of a hemisphere is the volume of the sphere divided by two, therefore it's formula is:

[tex]\text{volume hemisphere} = \frac{4}{6}*pi*r^3\\\text{volume hemisphere} = \frac{4}{6}*pi*8^3 = 1072.33 \text{ } cm^3[/tex]

While the volume of the cone is:

[tex]\text{volume cone} = \frac{\pi*r^2*h}{3}\\\text{volume cone} = \frac{\pi*(8)^2*8}{3}\\\text{volume cone} = \frac{\pi*512}{3} = 536.1651 \text{ } cm^3[/tex]

What remains on the hemisphere is the difference between these volumes, therefore:

[tex]\text{remaining volume} = 1072.33 - 536.17 = 536.16 \text{ } cm^3[/tex]

The volume remaining is approximately  536 cm³

can you please solve this!

Answers

Answer:

x = 8

Step-by-step explanation:

What is 12.5÷2.4 and what are the steps

Answers

Answer:

5.2083bar

Step-by-step explanation:

Answer:

5.208333333

Step-by-step explanation:

divied 12.5 by 2.4

On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6 are painted blue, 7 is painted yellow, and 8 is painted gray. If the die is rolled one time, what is the probability that the roll will show an even number AND a face that is painted blue? Provide the final answer as a fraction.

Answers

Answer:

0.25

Step-by-step explanation:

outcomes painted in blue: {3, 4, 5, 6}

number of even outcomes painted in blue: 2

number of total outcomes: 8

Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25

12. (-/10 Points)
DETAILS
HARMATHAP12 1.1.053.
Using data from 2010 and projected to 2020, the population of the
10.0y - 4.55x = 581
where x is the number of years after 2000.1
(a) What is the projected population in 2028?
y =
(b) In what year is the population predicted to be 71.75 million?

Answers

Vie kib 356
Ghu
Jogg
780:3 okn 2455!

7
What is the inverse of the statement below?
If a quadrilateral has four right angles, then it is a rectangle.
A.
If a quadrilateral is a rectangle, then it has four right angles.
OB.
If a quadrilateral does not have four right angles, then it is a rectangle.
OC.
If a quadrilateral does not have four right angles, then it is not a rectangle.
D.
If a quadrilateral is not a rectangle, then it does not have four right angles.

Answers

Answer:

a if a quadrilateral is a rectangle, then it has four right angles

Step-by-step explanation:

when you know a quadrilateral is a rectangle it has two short sides and two long sides and it has four right angles

Help please! Will give brainly! A rock is dropped from the top floor of a 500-foot tall building. A camera captures the distance the rock traveled, in feet, after each second. Use the information in the image to answer the question.

Answers

Answer:

Step-by-step explanation:

1. No it does not as the rock will accelerate downwards (because of gravity) but we can also see that at the first second the rock fell 16 feet compared to the 2 to 3 seconds gap where it fell 80 feet (144-64).

2. All the way down to the ground. Each time gap is getting bigger and bigger (it's accelerating) and the gap between 5 and 6 s should be bigger than 4 to 5 and it is not as the rock cannot fall through the ground but only hit the ground

you may have to change the english a bit and english is not my first language

hope this will help

If a man weighs 300 pounds on​ Earth, his mass on Earth is 136 kilograms. What would his mass be if he was on the moon?

Answers

You weigh 83.5% less on the moon
Therefore 16.5% of 300 pounds is 49.5 pounds and that in kilograms is 22kilograms

A survey of 125 households was done to investigate whether households have laptops, tablets, or
both. The results are shown in the Venn diagram below. If a household was selected at random, which
of the following would be the probability the household would have a laptop given that it does not
have a tablet?
1) 0.484
2) 0.355
3) 0.326
4) 0.172​

Answers

Answer:

3) 0.326

Step-by-step explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not  have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

[tex]P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326[/tex]

The correct option is C,

QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.

Answers

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer

x= 4.75       y=-22

Step-by-step explanation:

got it right on the unit test!!

HELPPPP ASAP !!!!!!!
A triangle was dilated by a scale factor of 4. If tan a° = four thirds and segment FD measures 12 units, how long is segment EF?


triangle DEF in which angle F is a right angle, angle D measures a degrees, and angle E measures b degrees


segment EF = 6 units

segment EF = 9 units

segment EF = 12 units

segment EF = 16 units

Answers

Answer:

Segment EF = 16 units

Step-by-step explanation:

First we will figure out our equation:

Line FD is adjacent to angle a.

Line EF is opposite to angle a

and line ED is the hypotenuse.

Since we will being using Tangent, the hypotenuse is irrelevant.

Tan a° = [tex]\frac{opposite}{adjacent}[/tex]

Now substitute:

[tex]tan \frac{3}{4} = \frac{x}{12}[/tex]

Multiply both sides by 12:

[tex](12)tan\frac{3}{4} =x[/tex]

Solve for tangent by using your calculator:

[tex]tan \frac{3}{4}= 1.333333333[/tex]

[tex](12)1.333333333= 16[/tex]

[tex]16 = x[/tex]

EF = 16 units.

Answer: the one above is correct

Step-by-step explanation:

Took the test!! :)

Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?

Answers

Yes, Kevin is correct

Which statement is true?

Answers

Answer:

B

Step-by-step explanation:

The notation ⊥ means the 2 lines are perpendicular, which by definition means they intersect at a 90 degree angle.

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