In a sale the price of a bike is reduced by 40% the sale price of the bike is £192 how much did the bike cost before the sale?

Answer:

C

Step-by-step explanation:

The value of x is equal to 9

Step-by-step explanation:

[tex] \tt{} \frac{24}{10} [/tex]

[tex] \tt{} \frac{24 \div 2}{10 \div 2} [/tex]

[tex]\tt{} \frac{12}{5} [/tex]

[tex]\tt{}2 \frac{2}{5} \: \: \: \: \: = 2.4[/tex]

Answer:

Step-by-step explanation:

2x + 3x + 135 = 180                            Every triangle has 180 degrees

5x + 135 = 180                                    Subtract 135 from both sides.

5x = 45                                               Divide by 5

x = 9

2x =                  18

3x =                  27

Other angle   135

Total              280

Answer:The answer is B

Step-by-step explanation:

Answer:

Part A

The work done in pulling the bucket to the top of the well is 1,775 ft.·lb

Part B

By Reimann approximation, the work done is 2,130 ft.·lb

Step-by-step explanation:

Part A

The parameters of the filled bucket of water being pulled upwards are;

The mass of the bucket = 5 lb

The mass of the rope = Negligible

The mass of water that fills the bucket = 38 lb

The rate at which the bucket is pulled up = 1.5 ft./s

The rate at which the bucket leaks, l = 0.15 lb/s

The height in feet above the bottom of the well = x

Therefore, we have;

Height of the bucket, x = 1.5·t

The weight of the bucket after a given time, t, W = 38 - 0.15·t

The time it takes to pull the bucket to the top of the well, t = d/v = 50/1.5 = 100/3 s. = [tex]33.\overline3[/tex] s

We have;

[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {F} \, dx[/tex]

x = 1.5·t, F = Weight of the bucket, W = 38 - 0.15·t

[tex]W = \int\limits^{t = 33.\overline 3}_{t = 0} {(38-0.15\cdot t)} \, \cdot 1.5\cdot dt = \int\limits^{t = 33.\overline 3}_{t = 0} {(57-0.225\cdot t)} \, dt[/tex]

[tex]W = [57\cdot t - 0.225 \cdot t^2]_0^{33.\overline 3}[/tex]

Therefore, we have;

W = (57 × [tex]33.\overline3[/tex] - (0.225/2) × [tex]33.\overline3[/tex]²) - 0 = 1,775 ft.·lb

The work done in pulling the bucket to the top of the well, W = 1,775 ft.·lb

Part B

By summing the areas of the rectangular areas on the graph, we have

W = 10 × 38 + 10 × (38 - 0.1×10) + 10 × (38 - 0.1 × 20) + 10 × (38 - 0.1 × 30) + 10 × (38 - 0.1 × 40) + 10 × (38 - 0.1 × 50) = 2,130

Therefore, by left Reimann approximation, the work done, W = 2,130 ft.·lb

(More precisely, we have;

The weight at the bottom, F₁ = 38 lb.

The weight at the top of the well, F₂ = 38 - 0.15 × 100/3 = 33

∴ F₂ = 33 lb.

The average weight, [tex]F_{average}[/tex] = (F₁ + F₂)/2 = (38 lb. + 33 lb.)/2 = 35.5 lb.

Therefore, the work done,  [tex]F_{average}[/tex] × d = 35.5 lb × 50 ft. = 1,775 ft.lb

The work done, W = 1,775 ft.lb)

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

Answer:

$56

Step-by-step explanation:

Find out the percentage of the pair of shoes after the sale discount.

100 - 25 = 75%

75% = 42

1% = 42 ÷ 75 = 0.56

100% is the percentage of the original price.

100% = 0.56 x 100 = 56

Answer:

a. -2

b. 48, -96, 192

Step-by-step explanation:

Answer: 10/36

When a pair of fair dice are rolled , the total possible cases are (6 × 6) = 36. Out of these 36 cases the following 10 cases are favors(giving the sum > 8) for the happening of the event . These 10 cases are (3, 6), (4, 5), (4, 6),(5, 4), (5, 5), (5, 6) , (6, 3), (6, 4), (6, 5), & (6, 6)

Step-by-step explanation:

6×6=36 possible outcomes and only 15 possible outcomes summing 8 or more than 8.

Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.

Answer:

-64

Step-by-step explanation:

The computation of the 10th term of the progression is shown below:

The 3rd term is -9

A_n = a + (n - 1)d

-9 = a + (3 - 1)d

-9 = a + 2d

-9 - 2d = a

Now the 7th term is -29

A_n = a + (n - 1)d

-29 = a + (7 - 1)d

-29 = a + 6d

Put the a value to the above equation

-29 = -9 - 2d + 6d

-29 + 9 = 4d

-20 = 4d

d = -5

Now

-9 - 2d = a

-9 - 2(-5) = a

-9 - 10 = a

a = -19

Now finally the 10th term of the progression is

= a + (n - 1)d

= -19 + (10- 1)-5

= -19 -45

= -64

Answer:

a) September; b)October

Step-by-step explanation:

Just do the calculations, for example: 71+(-293). You will see September has a drop less 210 dollars and October has the biggest change of sales.

Answer:

20x + -10xy

Step-by-step explanation:

10x · 2 ⇒ 20x

10x · -y ⇒ -10xy

Therefore, it is 20x - 10xy.

Answer:

Check pdf

Step-by-step explanation:

Answer:

It is the same order

Step-by-step explanation:

A=1/2bh triangle

A=bh parallelogram

A=1/2(b1 + b2)h trapezium

Answer:

Step-by-step explanation:

A=1/2bh =triangle

A=bh= parallelogram.

A=1/2(b1-b2)h=trapezoid.

Answer:

The vertex is (-1.5, 11.25)

Step-by-step explanation:

Answer:

5

step by step explanation:

if she gets $10 off of her purchase that means she would have a little extra money to another shirt

Answer:3,000

Step-by-step explanation:

Answer:

3000

Step-by-step explanation:

300    x

10     100

300x100

30,000

30,000/10

3000

Answer:

I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more

Answer:

y =  ( x − 2 ) ^ 2 + 3

y =   x^2 − 4x + 7

Step-by-step explanation:

y = a ( x − h ) ^ 2 + k

where vertex is (h,k) = (4,-1)

h=4, k=-1

y = a ( x − 4 ) ^ 2 - 1

sub ( 2,3 )

3 = a (2 - 4)^2 - 1

a=1

y = 1 ( x − 2 ) ^ 2 + 3

y =  ( x^2 − 4x + 4 )  + 3

y =   x^2 − 4x + 7

Answer:

u need toADD THE PITRUE

Step-by-step explanation:

Answer:

Reflection symmetry, lines of symmetry, mirror symmetry, mirror-image symmetry, are symmetry with respect to reflection. That is, a figure that does not change after undergoing reflection has re-symmetry

Answer:

i'm sorry i think math is too hard could u help me

Step-by-step explanation: i understand the math problem

Answer:

no, they are not.

Step-by-step explanation:

3z means a number multiplied by 3

so if z is 2, 3(2) = 6

but z^3 means z multiplied by z, and then multiplied by z again.

so if z is 2, it's 2x 2 = 4 x 2 = 8

let me know if you have questions

The two expressions are not equivalent to each other.

Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.

From the expressions given:

Let us assume that:

z^3 = 3z

Now, let's replace 2 for the value of z on both sides, we have:

(2)^3 = 3(2)

8 ≠ 6

Learn more about equivalent expressions here:
https://brainly.com/question/2972832

Answer:

Roger, Roger!

Answer: *drops. 1

Step-by-step explanation: that's all I can do

Answer:

(b) and (c) are true

Step-by-step explanation:

Given

Function A and B

First, calculate the slope of A

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{24 - -21}{8- -7}[/tex]

[tex]m = \frac{45}{15}[/tex]

[tex]m =3[/tex]

The equation of function A is:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 3(x - 8) + 24[/tex]

[tex]y = 3x - 24 + 24[/tex]

[tex]y = 3x[/tex]

The general form of a function is:

[tex]y = mx + b[/tex]

Where [tex]m = slope[/tex] and [tex]b = y\ intercept.[/tex]

This implies that:

[tex]Slope = 3[/tex]

[tex]Y\ intercept = 0[/tex]

For function B:

[tex]y = 4x - 3[/tex]

[tex]Slope = 4[/tex]

[tex]Y\ intercept = -3[/tex]

By comparison:

(b) and (c) are true