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andreyandreev [35.5K]

3 years ago

13

The price of all rail season tickets to London increased by 4%. The price of a rail season ticket from Cambridge to London incre

ased by 121.60. work out the price before this increase.

1 answer:

kirill115 [55]3 years ago

8 0

Percentage increase in the rate of all rail season tickets to London = 4%
Price of the rail ticket from Cambridge to London increased by = 121.60
Let us assume the price before the increase in the fare = x
Then
4% * x = 121.60 dollars
(4/100) * x = 121.60 dollars
x/25 = 121.60 dollars
x = 25 * 121.60 dollars
= 3040 dollars
So the price of the ticket from Cambridge to London before the increase in price was 3040. I hope the procedure is simple enough for you to understand.

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s2008m [1.1K]

Hello!

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So, she walked forward 5 steps, then walked back the same steps, returning her to her starting position.

your answer is the second graph.

This graph shows what i explained: she starts at 0. goes forward 5, then back 5, returning her to 0.

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3 years ago

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What is the area of the rectangle with the given dimensions? *

exis [7]

Given:

The dimensions of a rectangle are $2x-5$ and $3x+3$ .

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

$Area=Length\times Width$

The dimensions of a rectangle are $2x-5$ and $3x+3$ . So, the area of the given rectangle is:

$Area=(2x-5)\times (3x+3)$

$Area=2x(3x)+2x(3)-5(3x)-5(3)$

$Area=6x^2+6x-15x-15$

$Area=6x^2-9x-15$

Therefore, the correct option is F, i.e., $6x^2-9x-15$ .

4 0

3 years ago

Make an equation to represent the area of a square whose sides are given by the expression x + y

ki77a [65]

Answer:

x^2 + 2xy + y ^2

Step-by-step explanation:

A = a^2

a = x + y

(x + y) + (x + y)

x^2 + xy + xy + y^2

x^2 + 2xy + y ^2

4 0

3 years ago

An elf ate 15 of your muffins. that was 5/8 of all of them. how many are left?

zavuch27 [327]

Answer: 9

Step-by-step explanation:

An elf ate 15 of your muffins and that was 5/8 of all of them. To get the number of muffins left goes thus:

We can first calculate the total number of muffins the person had. Let the total number of muffins be y. That means the elf ate 5/8 of y.

5/8 of y = 15

5/8 × y = 15

0.625 × y = 15

0.625y = 15

Divide both side by 0.625

0.625y/0.625 = 15/0.625

y = 24

The total amount of muffins is 24. Since the elf has eaten 15, the amount left will be: 24-15 = 9

6 0

3 years ago

Which equation represents a parabola that opens upward, has a minimum at x = 3, and has a line of symmetry at x = 3?

densk [106]

Answer:

$A.\ y = x^2 - 6x + 13$ is the correct answer.

Step-by-step explanation:

We know that vertex equation of a parabola is given as:

$y = a(x-h)^2+k$

where $(h,k)$ is the vertex of the parabola and

$(x,y)$ are the coordinate of points on parabola.

As per the question statement:

The parabola opens upwards that means coefficient of $x^{2}$ is positive.

Let $a = +1$

Minimum of parabola is at x = 3.

The vertex is at the minimum point of a parabola that opens upwards.

$\therefore$ $h = 3$

Putting value of a and h in the equation:

$y = 1(x-3)^2+k\\\Rightarrow y = (x-3)^2+k\\\Rightarrow y = x^2-6x+9+k$

Formula used: $(a-b)^2=a^{2} +b^{2} -2\times a \times b$

Comparing the equation formulated above with the options given we can observe that the equation formulated above is most similar to option A.

Comparing $y = x^2 - 6x + 13$ and $y = x^2-6x+9+k$

13 = 9+k

k = 4

Please refer to the graph attached.

Hence, correct option is $A.\ y = x^2 - 6x + 13$

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3 years ago

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