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?

Answer:

Step-by-step explanation:

5•-4= -20

5•-3x= -15x

-6x•-4= 24x

-6x•-3x= 18x^2

Answer:

20 : 15x

:

: : : : :

24x : 18x

:

Step-by-step explanation:

5×-4=20

5×-3x=-15x

-6x×-4=24x

-6x×-3x=18x

// have a great day //

Answer:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

Step-by-step explanation:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

2) 12/2+7

6+7

13

3) 8y-(22)

Terms, 8y, 22

Operation, Subtraction

Word Expression, 22 less than the product of 8 and y.

Answer:

number 2 is 13       and      number 3 is-2.75

Step-by-step explanation:

-2.75

Answer:

L=19.5in w=10.5in

Step-by-step explanation:

Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9

Area is (width)(Length) = (width)(width+9)

W

----------

| |

| |

| | L = w+9

| |

| |

-----------

A = (w+3)(w)

A = w2 + 9w = 205.

(Problem states that area is 205 sq in)

Need to solve this quadratic equation

w2 + 9y - 205 = 0

Factor:

(w - 10.51) (w + 19.51) = 0

So

w - 10.51 = 0. or. w + 19.51 = 0

Solve these and get

w = 10.51. or. w = -19.51

Only one that makes sense in real life is the positive one.

So the dimensions are

Width = 10.51 inches

Length = 19.51 inches

Answer:

the answer is 420km.

Step-by-step explanation:

Given speed of car =60km/hr

then,distance travelled in 7hours

=speed×time

=60×7=420

=distance 420 km.

Answer:

Answer is x = 15

Answer is given below with explanations.

Step-by-step explanation:

[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]

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Answer:

lll

Step-by-step explanation:

hope it's helpful

Most welcome

Answer:

vertex = (- 3, - 1 )

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form

with vertex = (- 3, - 1 )

Answer:

[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]

Step-by-step explanation:

[tex]plates = 13 \\ cups = 9[/tex]

So the ratio of the number of plates to the number of cups.

[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

c

Step-by-step explanation:

25% = 15$ so 15+15+15+15=60

Answer: HI, Hope this helps you dear!

Step-by-step explanation:

3/4 - 2 7/8 = 2.8755

Answer:

2 7/8

Step-by-step explanation:

5 3/4 = 23/4

2 7/8 = 23/8

23×2=46

4×2=8

46/8-23/8= 2 7/8

Answer:

Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.

Answer:

Option A

Step-by-step explanation:

In trapezoid, one pair of opposite sides are parallel.

Parallel lines have the same slope.

So , we have to find the slope of four sides and from that we can show that it is a trapezoid.

Answer: R={-6,-5,-1}

Step-by-step explanation:

If D= -2

substitute x for -2

f(x)= -2-4=-6

then do that for the rest

Answer:

r=12.5

Step-by-step explanation:

V=2/3πr³

V=1300π m³

r=?

r=3√(3*1300π/2)

r=12.49

Answer:

64

Step-by-step explanation:

When two angles are supplementary, their measures must add up to 180 degrees. Therefore:

x+y=180

x+116=180

x=180-116=64 degrees

Hope this helps!

Answer:

∠x = 64°

Step-by-step explanation:

∠x+∠y=180°

∠x+116°=180°

Subtract 116° from both sides

∠x=64°

Answer:

slope = 1 and y- intercept = 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 6) ← 2 points on the line

m = [tex]\frac{6-4}{2-0}[/tex] = [tex]\frac{2}{2}[/tex] = 1

The y- intercept is the y- coordinate of the point where the line crosses the y- axis.

Here the y- intercept = 4

Answer:

Angle 1 and Angle 3

Step-by-step explanation:

When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!

The angle 1 and angle 3 are vertical angles

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.

According to question

angle 1 = angle 3 ( vertically opposite angle )

angle 2 = angle 4 ( vertically opposite angle )

Hence, angle 1 and angle 3 are vertically opposite angle.

To know more about vertically opposite angle here :

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Answer:

1/2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The height of the triangle is always perpendicular to the base. Therefore, in this figure, the base of the triangle corresponds to segment A

Answer:

a arithmetic; -23

Step-by-step explanation:

this is not geometric sequence as we don't  see multiplication effect in the terms

let's see what is the difference in terms

-207- (-184)= -23

-230- (-207)= -23

-253- (-230)= -23

we can state it is an AP with common difference of  -23

option a. is correct

Answer:

The answer is 3

Step-by-step explanation:

7.5 m

---------

  5

7.5(2)=15

-------------

       5

15

---    =3

5

Answer:

k= 112

Step-by-step explanation:

12y = 7z

y= 7z/12

_________

3x =8y

3x= 8× 7z/12

3×=56z/12

36x=56z

x=56z/36

_________

zk=72x

zk= 72 ×(56z/36)

k= (72×56)/36

k=112

Answer:

True Plan A will be worth more than plan B after two years.

True Plan A will be worth more than plan B after one year.

False Plan B will be worth more than plan A after three years.

False Plan B will be worth more than plan A after four years.

Step-by-step explanation:

plan A proves 10% Standard interest as it is $100 every year

plan B proves $50 per year Standard interest and may increase if this was CI interest as it may include interest on interest but nothing was mentioned that Plan B was CI type interest or any different from plan B type.

Because of this we can only agree option 1+2 out of 1-4 is true.

Answer:

Experimental

Step-by-step explanation:

It is not a theory he actually tossed the penny

Answer: The correct answer is B or Team C scored 307 points.

Step-by-step explanation:

Answer:

Choice B. Team C scored 307 points.

Step-by-step explanation:

Team B scored 227 points.

Choice A:

Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449

Choice A is false.

Choice B:

Team C: b + 80 = 227 + 80 = 307

Choice B is true.

Choice C:

2 * 307 = 614

614 is not the same as 449.

Choice C is false.

Choice D:

The sum of the points is given as 983.

Choice D is false.

Answer: Choice B. Team C scored 307 points.

Answer:

[tex]x^4[/tex]

Step-by-step explanation:

[tex]\frac{x^{3} }{\sqrt[6]{x}}[/tex]

[tex]((\sqrt{x})^{2})(x^{3} )[/tex]

[tex](x)(x^3)\\x^4[/tex]

Answer:

4 an 15

Step-by-step explanation:

The two integers whose sum is 19 and the larger of the two numbers is 3 more than 3 times the smaller integer are 4 and 15 respectively.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The smaller interger be 'x'.

So, The larger integer is 3x + 3.

Given, The sum of two integers is 19.

Therefore, x + 3x + 3 = 19.

x + 3x + 3 = 19.

4x = 16.

x = 4, Hence the larger integer is 15.

learn more about numerical expressions here :

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Answer:

C

Step-by-step explanation:

3/4 * 4pi = 3pi

3pi + 4 =. 13