The price of a pair of trainers was £85 The price was reduced to £47 Work out the percentage change in price.

Answer:

408 cm²

Step-by-step explanation:

the total SA = (2×½×6×8) + (10+8+6)×15

= 48 + 360

= 408 cm²

The total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².

In order to create the triangle base, the three triangular sides slant upward. A pyramid with a triangular base is also known as a tetrahedron since it is made up of four triangles.

The shape of a pyramid's base is often used to describe it. A hexagonal pyramid has a base that is a hexagon, as does a triangular pyramid, for example. Pyramids with triangular bases are called triangular pyramids.

A triangle's area is equal to half the sum of its base and height, according to the formula for triangular bases. Whether it be a scalene triangle, an isosceles triangle, or an equilateral triangle, this formula can be used to determine their properties.

The total surface area of the prism calculations are,

b = 6 cm, h = 8 cm, l = 10 cm, and L = 15 cm

[tex]Total\ Surface\ Area = (2\times \frac{1}{2} \times b \times h) + (l+h+b) \times \\ L=(2\times \frac{1}{2} \times 6 \times 8) + (10+8+6) \times 15\\= 48 + 360\\= 408 cm^2[/tex]

Therefore, total surface area of the prism that has a triangular base of 10 cm, 8 cm, and 6cm and it is 15 cm long is 408 cm².

Learn more about triangular base from here:

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Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct.

Answer:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1)}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2} \\ \frac{ - 4x + 7}{2(x - 1)} \\ option \: b \: is \: your \: answer \\ thank \: you[/tex]

The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

Answer:

1 hour

Step-by-step explanation:

hope it helps ....

Answer:

Hey, could you please add the number line to the question too

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero

Then x=-20

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

x=-20 is the zero of the given polynomial

Therefore it satisfies the given polynomial

[tex]f(-20)=(-20)^2+b(-20)+400[/tex]

[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]

Therefore the value of b is 40.

To learn more about the zeros of the polynomials visit:

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Answer:

7

Step-by-step explanation:

Exterior Angle Theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In this case:

(4x + 7) + (97) = (17x + 13)

4x + 104 = 17x + 13

4x + 91 = 17x

91 = 13x

7 = x

Answer:

25 + 300 = 325

trousers: spent 30 (a pair of trousers = one unity of trousers)

shirts: spent 19 x 2 = 38

shoes: spent 40 x 2 = 80

80 + 38 + 30 = 148

325 - 148 = 177

She had $177,00 left.

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

Step-by-step explanation:

hope it helps you..........

Answer:

[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

Given:

For en exponential function f(a):

[tex]f(-3)=18[/tex]

[tex]f(1)=59[/tex]

To find:

The value of f(0).

Solution:

The general form of an exponential function is:

[tex]f(x)=ab^x[/tex]          ...(i)

Where, a is the initial value and b is the growth/ decay factor.

We have, [tex]f(-3)=18[/tex]. Substitute [tex]x=-3,f(x)=18[/tex] in (i).

[tex]18=ab^{-3}[/tex]            ...(ii)

We have, [tex]f(1)=59[/tex]. Substitute [tex]x=1,f(x)=59[/tex] in (i).

[tex]59=ab^{1}[/tex]            ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{59}{18}=\dfrac{ab^{1}}{ab^{-3}}[/tex]

[tex]3.278=b^{1-(-3)}[/tex]

[tex]3.278=b^{4}[/tex]

[tex](3.278)^{\frac{1}{4}}=b[/tex]

[tex]1.346=b[/tex]

Substituting the value of b in (iii).

[tex]59=a(1.346)^1[/tex]

[tex]\dfrac{59}{1.346}=a[/tex]

[tex]43.83358=a[/tex]

[tex]a\approx 43.83[/tex]

The initial value of the function is 43.83. It means, [tex]f(0)=43.83[/tex].

Therefore, the value of f(0) is 43.83.

Answer:

Step-by-step explanation:

Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.

Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:

3(0) - 4x = 12 and

-4x = 12 so

x = -3

Answer:

x = 3

Step-by-step explanation:

2(5x - 3) = 24

Divide both sides by 2.

5x - 3 = 12

Add 3 to both sides.

5x = 15

Divide both sides by 5.

x = 3

Answer:

A) 0.019

B) 0.563

Step-by-step explanation:

a) We will use Poisson distribution formula to solve this;

The formula is given as;

P(X = x) = ((e^-λ) × (λˣ))/x!

Mean is 1. Thus;

λ = 1 aircraft/hour.

Thus, the probability that more than three aircrafts will arrive within an hour is written as; P(X > 3)

Thus;

P(X > 3) = 1 - P(X ≤ 3)

Thus;

1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

Solving through online calculator, we have;

P(X > 3) = 1 - 0.98101

P(X > 3) = 0.01899

To 3 decimal places, we have; P(X > 3)= 0.019

b) Probability of one 1-hour interval not containing more than 3 arrivals is, let's first find;

P(X ≤ 3) = 1 - P(X > 3)

P(X ≤ 3) = 1 - 0.01899

P(X ≤ 3) = 0.98101

Since there are 30 one-hour intervals, then we have;

Probability that none of the thirty 1-hour intervals will contain more than 3 arrivals;

(P ≤ 3) = (0.98101)³⁰

(P ≤ 3) = 0.5626

Approximating to 3 decimal places, we have;

(P ≤ 3) = 0.563

Answer:

In picture

Step-by-step explanation:

Brainliest please~

[tex](0,3)[/tex] and [tex](1,-2)[/tex]

Equation: (refer the image below)

Slope:

[tex]m=\frac{3+2}{0-1}[/tex]

[tex]m=-5[/tex]

Equation:

[tex]y=5x-b[/tex]

[tex]3=b[/tex]

Substitute (0,3)

Point: [tex](1,-2)[/tex]

Answer:

B=30mm

Step-by-step explanation:

According to the Question,

we have,  A parallelogram that has one side(A) 5 millimeters and the other side(C) 10 millimeters. A larger parallelogram has side one side(D) 15 millimeters.

The Enlargement Parallelogram And Original Parallelogram Sides Ratio Remain the same.

Therefore, A/C = D/B

5/10 = 15/B

B=150/5

B=30mm

Answer:

Traversable because it has exactly two odd nodes

Step-by-step explanation:

There is a rule that says it is traversable if it has exactly 2 odd nodes. The are other rule where it can be traversable is if has no odd nodes.

Also if we let the starting point be D and the ending point be B we can travel the network in such way that each edge is only traveled once which is the definition that the network is traversable.

So I will do this by starting at D, then travel to A using the outside edge, then travel to back to D using inside edge, then travel to C, then travel to B, then travel to A using outside edge, and then back to B from A using inside edge.

Answer:

103 is my answer.

Step-by-step explanation:

hope it helps

Answer:

G

Step-by-step explanation:

I did this on edge and it was right

Answer:

O  Point G

Step-by-step explanation:

A = -6

B = 8

To find the midpoint, calculate how much would it take for both points to have a value of zero.

-6 + ? = 0

-6 + 6 = 0

8 - ? = 0

8 - 8 = 0

so the midpoint will be about 7 (between 6 & 8)

Now which of the points best shows 7 units apart of AB

Answer: point G

Answer:

biggafigure a

mnn

Step-by-step explanation:

Answer:

65.76 m

Step-by-step explanation:

This figure is split into three shapes: a right triangle, a rectangle, and a semi- circle. To find the area of the figure you can start by figuring out the area of each of the three shapes mentioned above, then adding their areas together. I'll write the numbers without the unit to make it simpler since it won't cancel out or anything.

Starting with the triangle:

1/2(b*h)=a

We see the base is 3, and the height is 5 (because the two opposite sides of a rectangle will be congruent) so if you plug the numbers into the formula you get:

1/2*15=a or 15/2=a

a=7.5

Then we calculate the area of the rectangle:

l*w=a

5*6=a

30=a

Then the area of the semi circle:

First we find the area as if it were a full circle by the equation using 3.14 as pi and 3 as r (since the denominator is 6 and half of 6 is 3):

3.14*r^2=a

3.14*3^2=a

3.14*9=a

28.26=a

Finally, we add all three areas from above:

7.5+30 + 28.26 = 65.76

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

Step-by-step explanation:

hope it helps you...........

Answer:

y=40x+25

plz mark brainliest

Answer:

[tex]\$6[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The difference in the cost of 600 text messages plan

Representing the given data as; Cost to Number of text messages, we have:

[tex]Dial\ Up = \$5 : 100[/tex]

and

[tex]Ring\ Ring= \$8 : 200[/tex]

Multiply the dial-up by 6 to get the cost of 600

[tex]Dial\ Up = \$5 *6 : 100 * 6[/tex]

[tex]Dial\ Up = \$30 : 600[/tex]

So, the cost of 600 text messages is $30 --- for dial-up

Multiply the Ring Ring by 3 to get the cost of 600

[tex]Ring\ Ring= \$8 *3: 200*3[/tex]

[tex]Ring\ Ring= \$24: 600[/tex]

So, the cost of 600 text messages is $24 --- for Ring Ring

The difference (d) is:

[tex]d = \$30 - \$24[/tex]

[tex]d = \$6[/tex]

Step-by-step explanation:

C = 6 n + 4,500

the set up cost is represented by the initial value of the function, which is $4,500.

the ongoing cost of materials and labor is represented by the rate of change of the function, which is $6 per bottle.

Answer:

I'm sorry but no idea

Step-by-step explanation:

No idea

Hello again,

"katie deleted your answer to the question Hello,a=2, b=8, c=-1Indeed,y=f(x)=ax...

You've been warned"

Answer is a=2, b=8 and c=-1

Indeed:

y=f(x)=ax²+bx+c

Since (-2,-9) is the vertex,

y=k*(x+2)²-9

Or f(-1)=-7 ==> -7=k*(-1+2)²-9 ==> k=2

f(x)=2(x+2)²-9=2*(x²+4x+4)-9=2x²+8x+8-9

f(x)=2x²+8x-1

A proof: the picture is following.

Answer:

They are parallel so also -4/3