Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?

Answer:

Solution:

2 3/4 as an improper fraction is 11/4.

2 2/3 as an improper fraction is 8/3.

11/4 ÷ 8/3

11/4 ÷ 3/8 (reciprocal method)

11/4 × 3/8 (change the operation to multiplication)

11/4 × 3/8 = 33/32 (multiply)

33/32 ⇒ 1 1/32 (simplify)

1 4/5 as an improper fraction is 9/5.

9/5 ⇒ 1.8

Dilation involves changing the size of a shape (i.e. a circle)

The scale of dilation is 4

The circle passes through the origin.

So, one of the points is (0,0)

When dilated it passes through the point (4,0).

The scale factor (k) is calculated by calculating the distance between the new point and the old point.

So, we have:

[tex]\mathbf{k = \sqrt{(x_2 - x_1)^2 + (y_2 -y_1)^2}}[/tex]

This gives

[tex]\mathbf{k = \sqrt{(4- 0)^2 + (0-0)^2}}[/tex]

Simplify

[tex]\mathbf{k = \sqrt{16 +0}}[/tex]

Add 16 and 0

[tex]\mathbf{k = \sqrt{16}}[/tex]

Take the square root of 16

[tex]\mathbf{k =4}[/tex]

Hence, the scale of dilation is 4

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Answer: Substitute the values given. The equation is a + 42 = b. Since a = -16 and b = 26, the equation will become -16 + 42 = 26. This equation holds true so it is correct.

Would appreciate brainliest <3

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

Answer:

Step-by-step explanation:

The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

We can calculate the slope from the two given points, A(5,7) and B(9,-1).

Slope is Rise/Run, where Rise is the change in y and Run is the change in x.

From the two given points, starting at (5,7) and going to (9,-1):

Rise = (-1 -7) = -8

Run = (9-5) = 4

Rise/Run (slope) = -8/4 or -2

The equation becomes y = -2x + b

We can find b by entering either of the two given points and solving for b. I'll pick (5,7):

y = -2x + b

7 = (-2)*(5) + b

7 = -10 + b

b = 17

The equation is y = -2x + 17

Check this with a DESMOS graph (attached).

The equation of line AB is y= -2x +17

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Points A(5, 7) and B(9, -1)

So, slope for the equation is

sloe= (-1 - 7)/ (9- 5)

slope = -8/ 4

slope= -2

Now, using slope- intercept form

y - b = m ( x- a)

y - 7= -2( x - 5)

y- 7 = -2x + 10

y= -2x + 17

Hence, the equation of line AB is y= -2x +17

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Answer: 2nd, 4th, and 5th options

Step-by-step explanation:

The x-intercept is where the graph meets the x axis line and is also known as being the roots/zeros of an expression. hope this helps

Answer: buddy if you put it in English i can do it I’m a teacher

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

43 is the number of students were present in that class on Monday

percentage, a relative value indicating hundredth parts of any quantity.

Given that there are 50 students in one of Mr. Rudolph's physical education classes.

On Monday, 14% of the students were absent from that dass.

We have to find the number of students were present in that dass

on Monday.

Let us find 14% of 50

14/100 ×50

0.14×50

7 students were absent.

Now 50-7=43 students.

Hence, 43 number of students were present in that class on Monday

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Answer:

you will have $133920 intrest monthly and $151920 in the bank

Step-by-step explanation:

Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.

Answer:

2x

Step-by-step explanation:

Answer:

The gradient is 1

Step-by-step explanation:

m, gradient= (y2-y1) ÷ (x2-x1)

Answer:

3.3m+1.4

Step-by-step explanation:

Multiply 5 and 0.9m

Multiply 5 and 0.5

5 times 0.9m is 4.5m

5 times 0.5 is 2.5

Multiply -3 and 0.4m

Multiply -3 and 0.7

-3 times 0.4m is -1.2m

-3 times -.7 is -2.1

4.5m+ 2.5 -1.2m-2.1

Which is 3.3m+1.4

Hope this helps!

Answer:

whats 12x15

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

300/12 = 25

300/15 = 20

25 and 20 average = 22.5

Answer:

1.5 each friend

Step-by-step explanation:

6 divided by 4 = 1.5

Using the vertex form, the equation of the parabola is given by:

[tex]y = a(x - 4)^2 + 10[/tex]

The equation of a parabola, with vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

In this problem, it reaches a maximum height of 10 feet after a  horizontal distance of 4 feet, hence, the vertex is (4,10), that is, [tex]h = 4, k = 10[/tex]. Then, the equation for the parabola is:

[tex]y = a(x - 4)^2 + 10[/tex]

A similar problem is given at https://brainly.com/question/15165354

Answer: D. 4x2-9x-5=0

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Assume that lines which appear to be tangent are tangent.

Therefor this is a right triangle.

Use the pythagorean theorem

c^2 = a^2 + b^2

15^2 = ?^2 + 9^2

225 = ?^2 + 81

subtract 81 from both sides

144 = ?^2

Take the square root of both sides

12 = ?

9514 1404 393

Answer:

  ? = 12

Step-by-step explanation:

The tangent makes a right angle with the radius at the point of tangency. That means the Pythagorean theorem can be used to find the missing length.

  ?² +9² = 12²

  ?² = 225 -81 = 144

  ? = √144 = 12

The value of ? is 12.

__

Additional comment

When you see a right triangle with the ratio of hypotenuse to leg of 15:9 = 5:3, you know immediately that it is a multiple of a 3:4:5 right triangle. Here, the scale factor is 3, so the missing side is 3×4 = 12.

Answer:

I think it might be 4.

Step-by-step explanation:

:)

I found something that says 6x or something if that helps?

I hope you get it right!!!

Answer:

y + 4 = -5(x - 15)

Step-by-step explanation:

The given line has a slope of 1/5.  Any new line perpendicular to this given line has a slope which is the negative reciprocal of 1/5:  -5.

Use the point-slope equation of a line:  y - k = m(x - h), where (h, k) is the point through which the new line passes.  Here h = 15 and k = -4, so we have:

y + 4 = -5(x - 15)

This line is perpendicular to the given line and also passes through (15, -4).

Answer:

1.37 miles

Step-by-step explanation:

First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.

Answer:

x = 5

Step-by-step explanation:

|2x + 6| = 16

=> 2x + 6 = 16

=> 2x = 16 - 6

=> 2x = 10

=> x = 5

Hoped this helped.

Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50

Using the slope - intercept relation :

b = change in cost per mile

c = constant price added for every taxi ride

Hence, the expression can be written thus :

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Answer:

6×3×4= 72 unit cubes

................................

Answer:

(x-5)(x-5)

Step-by-step explanation:

x^2 factors into two binomials, the square root of 25 is 5 (-5*-5=25), -5+-5=-10, think of the big and the little equal the middle to help deal with these types of problems. hope I have helped.

Answer:

C. $4,102.84

The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.

The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given:

A butcher has an annual income of $58,612,

The tax = 7%,

Calculate the amount of the tax as shown below,

The amount of the tax = 7% of $58,612

The amount of the tax = 7 / 100 × 58612

The amount of the tax = 0.07 × 58612

The amount of the tax = 4102.84

Thus, the amount of tax is $4102.84.

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Answer:

[tex]603.2km^{2}[/tex]

Step-by-step explanation:

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation: