The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?

Answers

Answer 1

Answer:

8 mph

Step-by-step explanation:

The lorry's shortest route:

60 miles in 1.5 hours

speed = distance/time = (60 miles)/(1.5 hours) = 40 mph

The longer route:

time = 1.5 hours

distance = 20% more than 60 miles = 1.2 * 60 miles = 72 miles

speed = distance/time = (72 miles)/(1.5 hours) = 48 mph

Difference in speeds: 48 mph - 40 mph = 8 mph


Related Questions

I’m stuck on this math problem

Answers

Answer:

C.

Step-by-step explanation:

You can eliminate A and B because they square root graphs. You are left with C and D. C is the correct choice because the graph is being reflected across the x-axis, shown by the negative.

Alternatively you can graph each equation on a graphing calc and choose the best answer.

40% as ounces
Pls help

Answers

Answer:

that equals 5 cups

Step-by-step explanation:

40% in ounces is 5 cups

Step-by-step explanation:

If you divide the total amount of cups it takes to take the next measurement it comes to 5 cups.

Which algebraic expression represents the phrase “ the quotient of negative right and the sum of a number and three”?

Answers

The answer is up down left right down up

Answer:

-8 ÷ (x + 3)

Step-by-step explanation:

So quotient means that you're dividing, so put a ÷

Next, it says the dividend, or the part being divided is -8, so now you have this: -8 ÷

Lastly, it says the divisor, or the part doing the dividing, is a quantity equal to the sum of "some number" (we'll use x) and 3. Since the divisor is one quantity collectively, you have to put it in parentheses.

This gives you: (x + 3)

When you put it all together, you get -8 ÷ (x + 3).

This can also be written as a fraction: -8/x+3.

Lucas is selling ribbons to raise money—PLEASE HELP will mark brainliest

Answers

Answer:

184

Step-by-step explanation:

46 divided by .25

Answer:

200 Ribbons

Step-by-step explanation:

To break even Lucas needs to sell 200 ribbons --> this is because, =>

let's make an expression for this equation -->

x = amt. of ribbons

y = expense or revenue

x(0.25) = y + x(0.02)

Let's plug he given in --> 0.25x = 46 + 0.02x -->

now we can solve => x = 200

Hope this helps!

WILL MARK THE BRAINLEIST ASAPWhat is the result of 36 divided by 9? Use the number line to find the answer. A number line going from 0 to 39. The numbers 0, 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, and 39 are marked on the line. 3 4 6 12

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

Got it 100% correct on Edg

in 2 minutes, a conveyor belt moves 500 pounds of recyclable aluminum from the delivery truck to a storage area. a smaller belt moves the same quantity of cans the same distance in 5 minutes. if both belts are used, find how long it takes to move the cans to the storage area.

Answers

answer:

how many can are needed to move?

Step-by-step explanation:

what is the area of the obtuse triangle given below

Answers

Answer:

The answer is A

Step-by-step explanation:

The formula used to find the area of a triangle is 1/2base *height

The base is 16 so half of 16 is 8 then multiply it with the height 8 to get 64.

Area of obtuse triangle is 64 sq. units

What is obtuse triangle?

"A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called obtuse-angled triangle or obtuse triangle."

Given

Base of triangle = 16

Height of triangle = 8

Formula to find the area of obtuse triangle

A = [tex]\frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

A = [tex]\frac{1}{2}[/tex] × [tex]16[/tex] × [tex]8[/tex]

A = 8 × 8

A = 64

Hence, Area of obtuse triangle is 64 sq. units

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please fine area of abc im dumb and just need a quick answer please help no explanation needed

Answers

Answer:

6

Step-by-step explanation:

Because triangles ADC and ACB are similar:

[tex]\dfrac{3}{1.8}=\dfrac{AB}{3} \\\\\\AB=5 \\\\\\CB=\sqrt{5^2-3^2}=4[/tex]

The area of ABC is therefore bh/2=3*4/2=6.

Hope this helps!

Complete the table of ordered pairs for the given liners equation

Answers

Answer:

Step-by-step explanation:

Given equation of the line is,

y = -x + 1

We will get the output values (y-values) from the given equation for different input values (x-values).

For x = 0,

y = 0 + 1

y = 1

For x = -1,

y = -1 + 1

y = 0

For x = -6,

y = -6 + 1

y = -5

So the table of the ordered pairs will be,

x        0         -1          -6            

y       1           0         -5

Scientist Asterix uses 19 base number system. Which
one is his largest symbol?
A. I
B. J
C. 9
D. P

Answers

Answer:

A. I

Step-by-step explanation:

first 10 symbols are digits from 0 to 9

then next 9 symbols are alphabets from A to I

so the largest symbol is I

19 base number system has 19 symbols:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F, G, H, I

The largest symbol is I

Answer:

                A. I

What is the equation of the line?

Answers

Answer:

y = -7

Step-by-step explanation:

As the slope is m = 0, that means there is no slope. All values of x in the domain will always output -7. Therefore, your equation would be y = -7.

Answer:

y = -7

Step-by-step explanation:

Use the formula:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope of the equation is equal to 0.

The y-intercept is at (0, -7)

y = (0)x + -7

y = -7

The equation of the line is y = -7.

Please help!!

Find the x.

Answers

Answer:

10

Step-by-step explanation:

1. Write an equation to represent the ratio of the sides to the corresponding sides in the second figure.

6/9 = x/15

6 and x are both numerators because they are corresponding sides and 9 and 15 are both numerators because they are corresponding sides.

2. Solve for x.

multiply both sides by 9

6 = 9x/15

multiply both sides by 15

90 = 9x

solve for x by dividing both sides by 9

x = 10

*sorry if the explanation was confusing but I hope you understand with the equation and numbers

In STU, SU =18 and TU =13. Find m

Answers

Answer:

m=22.2

Step-by-step explanation:

By using the Pythagorean’s theorem i.e

hypotenuse^2=opposite^2+adjacent^2

Where

Hypotenuse =unknown

Opposite =18

Adjacent =13

Hyp^2=18^2+13^2

Hyp^2=324+169

Hyp^2=493

Hyp=sqrt 493

Hyp=m=22.2

Find the slope of the line that passes through (-38, 100) and (-37, 5).

Answers

The slope between two points is:  (change in Y) / (change in X) .

Slope = (-95) / (1)

Slope = -95

Step-by-step explanation:

[tex](-38, 100) and (-37, 5). \\ x1 = - 38 \\ y1 = 100 \\ x2 = - 37 \\ y2 = 5[/tex]

[tex]m \: = \frac{y2 - y1}{x2 - x1} \\ m \: = \frac{5 - 100}{ - 37 - 38} \\ m = \frac{ - 95}{ - 75} [/tex]

[tex]m = \frac{19}{15} [/tex]

Use △XYZ, in which ∠X is a right angle and tanY=815.

Answers

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17

Find dy/dx by implicit differentiation for x – y = xy.

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

Step-by-step explanation:

Differentiate xy using the product rule, then

Given

x - y = xy

1 - [tex]\frac{dy}{dx}[/tex] = x. [tex]\frac{dy}{dx}[/tex] + y. 1 = x[tex]\frac{dy}{dx}[/tex] + y ( subtract 1 from both sides )

- [tex]\frac{dy}{dx}[/tex] = x [tex]\frac{dy}{dx}[/tex] + y - 1 ( subtract x [tex]\frac{dy}{dx}[/tex] from both sides )

- [tex]\frac{dy}{dx}[/tex] - x [tex]\frac{dy}{dx}[/tex] = y - 1 ( multiply through by - 1 )

[tex]\frac{dy}{dx}[/tex] + x[tex]\frac{dy}{dx}[/tex] = 1 - y

[tex]\frac{dy}{dx}[/tex] (1 + x) = 1 - y ← divide both sides by (1 + x)

[tex]\frac{dy}{dx}[/tex] = [tex]\frac{1-y}{1+x}[/tex]

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

What is differentiation?

Differentiation is a method of finding the derivative of a function.

It shows instantaneous rate of change in a function.

The given expression is,

x - y = xy

Differentiate with respect to x,

d/dx (x-y) = d/dx (xy)

Use multiplication formula for differentiation,

d/dx(ab)= a.db/dx+da/dx.b,

1 - dy/dx =  x.dy/dx + y. 1

1 - dy/dx = x.dy/dx + y

1 - y =x.dy/dx + dy/dx

1 - y = (x+1).dy/dx

dy/dx = (1-y)/(x+1)

The differentiation of the function x - y = xy is dy/dx = (1-y)/(x+1).

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Find all the interior angle measures of triangle ABC, if m∠A = 3x + 10, m∠B = 5x − 1, and m∠C = x. answers: m∠A = 60°, m∠B = 94°, m∠C = 26° m∠A = 67°, m∠B = 90°, m∠C = 23° m∠A = 67°, m∠B = 94°, m∠C = 19° m∠A = 67°, m∠B = 92°, m∠C = 21°

Answers

Answer:

Step-by-step explanation:

Total interior angles in a triangle=180 degrees

That is: 3x + 10 + 5x - 1 + x =180

9x+9=180

9x=180-9

9x=171

x=171/9

x=19

Therefore

Angle A =67 degrees

Angle B= 94 degrees

Angle C = 19 degrees

Jenny just went shoe shopping. Now she has 5 more pairs of shoes than her brother does. Together, they have 25 pairs of shoes.
Jenny has
pairs of shoes, and her brother has
pairs of shoes.

Answers

Answer:

jenny got 15 pair of shoes

her bro got 10 pairs of shoes

Step-by-step explanation:

Jenny: 15 shoes

Brother: 10 shoes

SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.

Answers

Answer: option 3

PLEASE MARK ME AS BRAINLIEST

Answer:

option c  it has rotational symmetry with an angle of rotation 90degree

Step-by-step explanation:

it is a figure shown based on symmetry first 2 option saying a basic answer

and last one is wrong

A bricklayer charges $8 per square foot to lay a patio.How much would it cost for the bricklayer to lay a 12-foot-x 16-foot patio?

Answers

Area of patio = 12 x 16

                      = 192 square feet

Cost = 192 x 8

        = $1536

can anyone help pls. 10 points​

Answers

Answer:

There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)

Step-by-step explanation:

[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]

(1x3)+(2x2)+(3x7)+(4x13)+(5x11)=135
135/36=3.75
=4

find the axis of symmetry of this parabola y=-x^2-2x-5 write your answer as an equation

Answers

Answer:

axis of symmetry: x=-1

Step-by-step explanation:

PLEASE HELP!! 2b/10−b

Answers

Answer:-1/4b

Step-by-step explanation:

The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c=5/9(F-32). Write a compound Inequality to determine the Fahrenheit temperature range at which the antreze protects the car.

Answers

Answer:

I think it's B. 5/9(F -32) < 140

Step-by-step explanation:

At a car repair shop, the cost of a repair depends on the time the mechanic
works. Which of the following shows this idea expressed in function
notation?
A. time(number of cars)
B. time(cost)
O O O
C. cost(time)
D. number of cars(time)

Answers

Answer:

D is correct answer

Step-by-step explanation:

answer
D

explanation

The area of a triangle is 1,440 cm2. The base of the triangle is 5 times the height. What is the height of the triangle? Answers= A. 12 cm B. 24 cm C. 46 cm D. 60 cm

Answers

Answer:

The height of the triangle is 24 cm.

Solve for b. ab+c=d
B=a+c/d
B=a/(c-d)
B=(d-c)/a

Answers

Answer:

b = (d-c)/a

Step-by-step explanation:

ab+c=d

Subtract c from each side

ab+c-c=d-c

ab = d-c

Divide by a

ab/a = (d-c)/a

b = (d-c)/a

Answer:

B is my best guess!

Step-by-step explanation:

The mass of a jar is 750g when it is 1/2 filled with orange juice. The same jar has a mass of 625g when it is 1/4 filled with orange juice. A. What is the mass of the jar when it is 3/4 filled with orange juice? B. What is the mass of the jar when it is empty?

Answers

Answer:

1875 g

Step-by-step explanation:

1/4=625g

3/4=x

Then cross multiply

1/4x=625*3/4

1/4x=468.75

Then divide both sides by .25

which is 1,875 grams

Hope it helps a little

1875 grams already said

What is the equation of a line with a slope of -3 and a y-intercept of 4

Answers

Answer:

y = -3x + 4

Step-by-step explanation:

So the -3 is the slope and the slope always has an x and the y intercept is b which is 4

Answer:

y = -3x + 4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that: m = slope

y- intercept = b

m = slope = -3

y-intercept = b = 4

Plug in the corresponding number to the corresponding variables:

y = mx + b

y = -3x + 4 is your answer.

~

Simplify these expressions. a. 13xyz + 9 + 2xyz + 3 b. 6ab + (–2ab) + 4 + 6 c. 3 + 10x + (–2) + (–3x) d. 2x + 3 + x + 10

Answers

Answer:

a) 15xyz +12

b) 4ab +10

c) 7x +1

d) 3x + 13

Step-by-step explanation:

Put the like terms together. Make sure you put the things with higher variable coefficiants first.

Answer:

15[tex]xyz[/tex] + 4[tex]ab[/tex] + [tex]av[/tex] + 3[tex]b[/tex] + 6[tex]c[/tex] + d + 10[tex]x[/tex] + 27

Step-by-step explanation:

Add The Expressions.

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