Emma is a professional cyclist. For the past year she has been practicing to ride as far as she can in a minute. At the beginning of the year, her personal record was 5/6 of a kilometer in one minute. After six months, she improved her record by 1/15 of a kilometer. After a year, she further improved her record by 1/12 of a kilometer. What is her best record?

Answer:

the missing value is 18.

Step-by-step explanation:

First i converted the percentage to a fraction which was 30% was 3/10 or 0.3 or 3 and 100% was 1 so i took those numbers with 54, 1, 3, and Solve for an unknown value x with this fractions calculator. Find the missing fraction variable in the proportion using cross multiplication to calculate the unknown variable x. Solve the proportion between 2 fractions and calculate the missing fraction variable in equal's.

For the equation

543=x1

The cross product is

54×1=3×x

Solving for x

x=54×13

and reducing

x=18

Solution by Proportion

Since the equation is an equality

If

3 ÷ 1 = 3

Then it is true that

54 ÷ x = 3

Solving for x

x = 54 ÷ 3

x = 18

Answer:

7(x + 9)

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

First subtract 63

7x = -63

Then divide by 7

x = -9

Brₐinliest plz

Answer:

1809 in.2.

Step-by-step explanation:

So we know that the formula of a circle's area is r^2 * pi.

In this case, the radius is 24 inches. 24^2 = 576. They tell us to use 3.14 for pi.

576 * 3.14 = 1808.64.

The area is 1808.64, which rounds up to 1809 in.2.

Hope this helps!

Answer:

c

Step-by-step explanation:

1809 in.2.

Answer:

Set 2 contains an outlier. The outlier would be 63. I would say the most affected measure of spread is the range.

Answer:

4

Step-by-step explanation:

Plug in each given value into the expression to see if it is true.

Set given: {2 , 3  , 4}

Equation given: x + 2 = 6

First, plug in 2 for x. When x = 2:

x + 2 = 6

(2) + 2 = 6

4 ≠ 6.

Next, plug in 3 for x. When x = 3:

x + 2 = 6

(3) + 2 =6

5 ≠ 6.

Finally, plug in 4 for x. When x = 4:

x + 2 = 6

(4) + 2 = 6

6 = 6 (True).

In the given set, only 4 complete the equation.

~

Answer:

1728

Step-by-step explanation:

1200 borrowed for 2 years at 20% compounded annually ;

Using the compound interest formula :

A = P(1 + r/n)^nt

P = 1200 = principal

Time, t = 2 years

Rate, r = 20% = 0.2

A = 1200(1 + 0.2)^2

A = 1200(1.2)^2

A = 1200 * 1.44

A = 1728

Final amount to be repayed = 1728

Answer:

Bru how can u not know that

Step-by-step explanation:

1. 2 pieces

2. 0.008

3. 4 pieces

4.0.016

5. 8 pieces

6.0.32

7.16

8.0.64

Answer:

2

24

5

4

Step-by-step explanation:

The given recipe makes 8 bags.

To make 16 bags, Lily needs twice as many ingredients because 8 + 8 = 16.

Since 1 cup of raisins makes 8 bags, 2 cups of raisins will make 16 bags.

To show the mathematical way:

Variable w = number of cups of raisins

1/8 = w/16

Cross multiply

1 × 16 = 8 × w

16 = 8w

2 = w

2 cups of pretzels makes 8 bags so 6 cups of preztels will make how many bags?

Set up an equation:

Variable x = number of bags

2/8 = 6/x

Cross multiply

2 × x = 8 × 6

2x = 48

x = 24

6 cups of pretzels will make 24 bags.

If 0.5 cup of pecans = 2.5 cups of crackers, then 1 cup of pecans = y cups of crackers?

Variable y = number of cups of crackers

Set up equation:

0.5/2.5 = 1/y

Cross multiply

0.5 × y = 2.5 × 1

0.5y = 2.5

y = 5

1 cup of pecans will need 5 cups of crackers

2 cups of pretzels = 8 bags, so 1 cup of preztels = z bags?

Variable z = number of bags

Set up equation:

2/8 = 1/z

Cross multiply

2 × z = 8 × 1

2z = 8

z = 4

Answer:

Ues math w/a/y

Step-by-step explanation:

ues it

Answer:

A number is written in scientific notation when there is a number greater than or equal to 1 but less than 10 multiplied by a power of 10.

If we have a number greater than 10, we move the decimal point to the left until we have a number between 1 and 10. ...

Answer: 287.50

Hope this helps!

Answer:

It is 90.16

Step-by-step explanation:

You can do this quite simply actually.

First, convert the 56 percentage into a decimal.

So, it is .56.

Then all you need to do is multiply .56 x 161 and it will give you 90.16!

Hope this helps and if you can, rate and thank so more people can be helped :)!

Have a great day!

Because results has been normally distributed and every group of 100 people would have different heights .

Answer: its A

Step-by-step explanation:

Trust me I learned the hard way

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

here, we have,

We have given that,

Triangle ABC is dilated by a factor of 4 to produce AA'B'C'.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ5

Answer: Nova Scotia

Step-by-step explanation:

British Columbia people per police officer:

= Population number / no. Of policemen

= 3,282,000/6,149

= 534 people per policeman

Nova Scotia

= 900,000 / 1,542

= 584 people per policeman

Answer:

40 + x is correct!

Step-by-step explanation:

Answer:

i think 40 plus X

Step-by-step explanation:

Answer: x=2/3

Step-by-step explanation:

x3=8/27

(x)^3=(2*2*2)/(3*3*3)

(x)^3=(2)^3/(3)^3

(x)^3=(2/3)^3

same power got cancel

x=2/3

Answer:

360 divided by 5 equal pieces equals to 72 a whole circle is 360 degrees

Step-by-step explanation:

Im sorry if im wrong

Answer:

1) 13 ft.

2) 23.3 m (when rounded to 1 dp)

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] when a and b are the two legs (the sides adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

1) Question 1

The lengths of the two legs in the image are 12 ft. and 5 ft. We know that these are the legs because they are the sides adjacent to the right angle. We're solving for the length of the ladder, which in this case would represent the hypotenuse (c). Plug the values 12 and 15 into the equation as a and b and solve for c:

[tex]a^2+b^2=c^2\\12^2+5^2=c^2\\144+25=c^2\\144+25=c^2\\169=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{169}=\sqrt{c^2} \\13=c[/tex]

Therefore, the length of the ladder is 13 ft.

2) Question 2

The lengths of the legs in the image are 20 m and 12 m. Again, we know that these are the legs because they are the sides adjacent to the right angle, which in this case would be the corner of the garden. We're solving for the length of the fence going diagonally from one corner to the other, which represents the hypotenuse (c). Plug the values 20 and 12 into the equation as a and b and solve for c:

[tex]20^2+12^2=c^2\\400+144=c^2\\544=c^2[/tex]

Take the square root of both sides

[tex]\sqrt{544}=\sqrt{c^2} \\23.3=c[/tex]

Therefore, the length of the fence when rounded to 1 decimal point is 23.3 m.

I hope this helps!

Answer:

Step-by-step explanation:

Using Pythagorean therom ( A aquared + b Squared = c Squared) the answer to the first one is (12 x 12)+( 5 X 5 ) = 169 ft  ( i think)

second one hard srry i not smort forgot how to do person above me correct

the Answer is: C less,1

Answer:

Two things we need to remember:

Speed of light = c = 299,792,458 m / s

This means that the light in one second covers a distance of 299,792,458 m

And for a circle of radius R, the is:

C = 2*pi*R

where:

pi = 3.14

Then if the radius of the earth is 6,378.1 km, then the of the earth is:

C = 2*(3.14)*6,378.1 km = 40,054.468 km

And we know that 1 km = 1000m

Then the circumference of the earth is:

C = (40,054.468*1000) m = 40,054,468 m

Now we need to see how many times the light can encircle the earth per second. (we assume that the light can move in a circular path, this is not really accurate to the reality)

We know that in one second the light can cover a distance of:  299,792,458 m

And the circumference of the earth is: 40,054,468 m

The quotient between these two distances is the number of times that the light can encircle the earth:

N = (299,792,458 m)/(40,054,468 m)  = 7.5

So light could encircle the earth 7.5 times per second.

Answer:

753.6 cubic units

Step-by-step explanation:

A collar of Styrofoam is made to insulate a pipe. Find its volume. The large radius R is to the outer rim. The small radius r is to the edge of the insulation. Use pi ≈ 3.14 r=2 R=4 h=20

The volume of the pipe formula is given as:

Use pi ≈ 3.14 r=2 R=4 h=20

Volume =h × π (R² -r²)

Volume =20 × 3.14 × (4² - 2²) cubic units

Volume = 62.8 × ( 16 - 4) cubic units

= (62.8 × 12 )cubic units

= 753.6 cubic units

Answer:

Step-by-step explanation: Last one

Answer:

[tex]x\geq 6[/tex]

Step-by-step explanation:

The last answer listed

Answer:

649 inches cubed or in^3

Step-by-step explanation:

multiply all 3

so 12 x 6 x 9 =

648

Answer: D

Step-by-step explanation: get the variable by itself on one side of the inequality sign.

Get the variable by itself on one side of the inequality sign. Option D

Isolating a variable in an equation or inequality refers to changing it so that it is on its own on one side of the equation or inequality sign.

In order to remove any additional terms or factors that are affecting the variable, this entails applying different operations to both sides of the equation or inequality, such as addition, subtraction, multiplication, or division.

The objective is to make the inequality or equation simpler so that the variable can be solved more easily.

Learn more about variables at: https://brainly.com/question/28248724

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The complete question:

What does it mean to isolate the variable?

А: Evaluate the coefficient.

B: Reverse the inequality sign.

С: Get zero by itself on one side of the inequality sign.

D: Get the variable by itself on one side of the inequality sign.

Answer:

Step-by-step explanation:

use formula

F = 1/2*sqrt[ 4* r^2 -CD^2 ]  

F = 4.4721

Answer:

X=4

Step-by-step explanation:

We just have to see what equals 22 added with 6 and 16+6=22 and 16/4=4

Answer:

x=4

Step-by-step explanation:

First, we need to get rid of the integers:

4x = 22-6

Now, we solve that part:

4x = 16

If 4x is 16, then what is x? To solve this, we divide each side of the equation by 4:

x=4

Hope this helps!

Given:

Speed to train = 200km/h

The train sets off from Station A at 12:24.

Reaches station B at 14:12.

To find:

The distance between both stations.

Solution:

We have,

Speed to train = 200km/h

Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.

Time = 1 hr 48 min

Time = 1.8 hours            [ 1 hr = 60 minutes]

Let d be the distance between both stations.

We know that,

[tex]Speed=\dfrac{Distance}{Time}[/tex]

[tex]200=\dfrac{d}{1.8}[/tex]

[tex]200\times 1.8=d[/tex]

[tex]360=d[/tex]

Therefore, the distance between the two stations is 360 km.