A cyclist is travelling at an average speed of 15km/HR. How long will it take to travel a distance of 52 1/2km

Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.

Step-by-step explanation:

The scale factor is 8:6 which can be simplified to 4:3.

The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:

4:3 = 3:x

4x = 9

x = 9/4

4:3 = 4:y

y = 3

4:3 = 5: z

4z = 15

z = 15/4

Answer:

773,917

Step-by-step explanation:

I will assume it will be a compound interest:

To solve any compound interest problems, use the formula (P x e)^r x t

P = Principal amount

e is Euler's number can be found on your calculator

r = rate

t = time  

so 400,000e^0.06 x 11 = 773,916.93 = 773,917 (round to the nearest whole number)

Answer:

pop after 11 years will be 772,000

Step-by-step explanation:

P = initial population · [tex]e^{(.06)(11)}[/tex]     e = Eulers number which is approx 2.7

P = 400,000 · [tex]2.7^{0.66}[/tex]

P = 400,000 · 1.93

P = 772,000

Answer:

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have points (1,6) and (2,2)

Slope is:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2[/tex]

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11[/tex]

The equation of line will be:

[tex]y=mx+b\\y=-2x+11[/tex]

Equation of the line that passes through the given point and is (a) parallel is: [tex]\mathbf{y=-2x+11}[/tex]

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

[tex]y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1[/tex]

The equation of line will be:

[tex]y=mx+b\\y=\frac{1}{2}x+1[/tex]

Equation of the line that passes through the given point and is (b) perpendicular is: [tex]\mathbf{y=\frac{1}{2}x+1}[/tex]

Answer:

according to my calculations for the gradient 3/5 is correct and - 6 is the y intercept so I suppose it's correct

Answer: 471.238898359 Or when rounded, 471.2

Step-by-step explanation:

Answer:

Sales tax : $27

Total price : $477

Step-by-step explanation:

Given that:

Sale price of tv = $450

Sales tax = 6%

Amount of sales tax = [tex]\frac{6}{100}*450[/tex]

Amount of sales tax = 0.06 * 450

Amount of sales tax = $27

Total price = Sale price + Sales tax

Total price = 450 + 27 = $477

Hence,

Sales tax : $27

Total price : $477

Answer:

176.7 in²

Step-by-step explanation:

The formula for the area of a circle is πr².

But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.

Here the diameter is 15 in. Divide the diameter by 2 to get the radius.

r = 15 ÷ 2 = 7.5 in

Now plug the radius into the formula and solve for the area.

A = πr²

A = π(7.5)²

A = π(56.25)

A = 176.7145868 ⇒ 176.7 in²

Hope that helps.

Answer:

10.8887π.

Step-by-step explanation:

34.208 / π

= 10.8887π.

9514 1404 393

Answer:

  3.14 cm ≈ 1.235 in

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Solving for r, we find ...

  r = √(V/(πh))

For the given values, the radius is ...

  [tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]

Answer:

Head bands: 18.58 inches of fabric

Wrist bands : 8.51 inches of fabric

Step-by-step explanation:

Jillian is making accessories for the soccer team.

For head bands

She uses 761.78 inches of fabric on headbands for 39 players and 2 coaches.

The total number of people = 39 player + 2 coaches = 41 people

Hence:

41 persons = 761.78 inches of fabric

1 person = x

Cross Multiply

41 × x = 761.78 × 1

x = 761.78/48

x = 18.58 inches

For wristbands

She also uses 331.89 inches of fabric on wristbands for just the players.

Number of players = 39 players

Hence:

39 players = 331.89 inches

1 players = x inches

Cross Multiply

39 × x = 1 × 331.89 inches

x = 331.89 inches/39

x = 8.51 inches

Therefore:

18.58 inches of fabric was used for head bands and 8.51 inches of fabrics was used for wristbands.

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When n = 7

hence, the given expression is equal to 10, when n = 7

Answer:

Step-by-step explanation:

110.75=10.5h-16

Answer:

7 / 15= 0.47

Step-by-step explanation:

Answer:

FV= 111,529.37 = 111,529

Step-by-step explanation:

Giving the following information:

Initial amount (PV)= 12,000

Growth rate (g)= 45% = 0.45

First, we will establish the future value formula:

FV= PV*(1+g)^n

FV= future value

n= number of days

FV= 12,000*(1.45^n)

For 6 days:

FV= 12,000*(1.45^6)

FV= 111,529.37

Answer:

c = 17

Step-by-step explanation:

Since this is a right angle triangle we can use the Pythagoras theorem that states that [tex]c^{2} = a^{2} + b^{2}[/tex] (where c is the Solve for  hypotenuse and "a" and "b" are the legs of the right angle triangle). From here we know that the answer to this question is....

[tex]c^{2} = a^{2} + b^{2}\\c^{2} = 15^{2} + 8^{2} \\c^{2} = 225 + 64\\c^{2} = 289\\c = \sqrt{289} \\c = 17[/tex]

Answer:

= 1 : 4

Step-by-step explanation:

14 : 56 in it's simplest form

= 14 / 56

= 1/4

= 1 : 4

14 : 56 = 1 : 4

Therefore, 14 : 56 in it's simplest form is 1 : 4

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]

Dividing both sides by 1.08

[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]

Hence,

The actual pressure is 36.50

Answer:

The slope of line 1 is: 2

Does line one have a negative of positive slope: Positive

The slope of line 2 is: -1/2

Does line two have a negative of positive slope: Negative

Answer:

2

Step-by-step explanation:

Answer:

2/1......................

Answer: 4.8

Step-by-step explanation:

Answer:My best guess is B or C

Step-by-step explanation:

im not the best at solving this but I feel certain it’s either of those

Answer:

Step-by-step explanation:

it xhkr pls

Answer:

-0.5

Step-by-step explanation:

I just added it into my calculator

Answer:

x=-2/9

y=-46/9

Step-by-step explanation:

Answer: 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

Given : 3$ could be exchanged for 2.5 euros

That means :

To get 2.5 euros , dollars needed are = 3$

By using Unitary method:

To get 1 euro , dollars needed are = [tex]\frac{3}{2.5}[/tex] $

To get 6 euros , dollars needed are =  [tex]\frac{3}{2.5}\times 6=7.2[/tex] $

Thus 7.2 $ will be needed to get 6 Euros.

Step-by-step explanation:

We have |E - G| = 12.

=> E - G = 12 or E - G = -12

=> (-1) - G = 12 or (-1) - G = -12

=> G = -13 or G = 11.

Coordonates of G could be -13 or 11.

Answer:

7,1

Step-by-step explanation:

Answer:

x=1/27

Step-by-step explanation:

In attachment...

Answer:

5=135

7=45

Step-by-step explanation:

Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.