Find the area of the shaded sector:

Answer:

A) 60 girls B)80 boys

Step-by-step explanation:

Pretend that the ratio is a fraction. If there are 4 boys for every 4 girls, than pretend that you add the 4 and the 3 together, thus giving you 7 as your denominator. Start with the girls, giving you a fraction of 3/7, multiply by 140, you get 60 as the number of girls. 140-60=80, giving you 80 boys.

Answer:

48 or 47

Step-by-step explanation:

858/18 = 47.6

Answer:

18cm

Explanation

2πr

2×22/7×6=38cm

4l=14×4=56

The difference=56-38=18cm

Answer:

$5 per person

Step-by-step explanation:

3 people. 5 dollars each. 15 dollar admission. 3x5 is 15

Answer:

so we have to find what percentage 369 is of 1230

369/1230=0.3

so they save 0.7 or 70%

Hope This Helps!!!

Answer:

Step-by-step explanation:

1,230/569= 3.3 or 87-89%

Answer:

n = 6 probably

Step-by-step explanation:

10 + I 10n + 6 I+ = 76

since " I   I " means it will always be positive we can kinda just ignore it

10 + 10n + 6 = 76

16 + 10n = 76

10n = 76 - 16

10n = 60

n = 6

Sangeetha got Rs. 412, Manish got Rs. 103 and the difference is Rs. 309

Data;

To calculated the amount Sangeetha got, let's solve the ratio

[tex]4 + 1 = 5\\\frac{4}{5} * 515 = 412[/tex]

Sangeetha got Rs 412.

To calculate the amount Manish got we can either subtract 412 from 515 or we find 1/5 of 515

[tex]\frac{1}{5} * 515 = 103[/tex]

The difference in the amount is calculated by subtracting 412 from 103

[tex]412 - 103 = 309[/tex]

Learn more on ratios here;

https://brainly.com/question/1781657

Answer:

y = x+4

Step-by-step explanation:

Using the y=mx+b format, we can define the slope as 1...

1) y=1x+b or y=x+b

The y-intercept ( aka b )

2) y=x+4

Answer provided by Education Point

Answer:

[tex]\text{y = x + 4}[/tex]

Step-by-step explanation:

[tex]\text{Slope intercept form:}[/tex] [tex]\text{y = (m)x + (b)}[/tex]                  [tex]\text{[m = Slope; b = y-intercept]}[/tex]

To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.

[tex]\rightarrow \text{y = (m)x + (b)}[/tex]

[tex]\rightarrow \text{y = (1)x + (4)}[/tex]                                                            [tex]\text{[m = 1; b = 4]}[/tex]

[tex]\rightarrow\boxed{\bold{\text{y = x + 4}}}[/tex]

Learn more about slope intercept form:

Answer:

+ 4

Step-by-step explanation:

The pattern of the expression is +4 as you see it goes 5 to 9

5 + 4=9

And if i'm correct the number after 9 will be 13 and it is

9 + 4=13

next it will be a 17 because 13 + 4=17

The next following numbers of the pattern will be 21  25  29  33  37 41 45

Hope it helps have a great day:)

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of ​​the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of ​​the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of ​​the triangle from the rectangle and we have the area of ​​the figure: 800 - 16 = 784m^2

Answer:

True statement

Step-by-step explanation:

400/10 = 40

so we can say the 40 is a tenth 400

Answer:

x = 8

Step-by-step explanation:

Since this is a rectangle, we know that each corner's angle is 90 degrees. (The box thing at the bottom right shows this.)

Since the two angles that make up angle E sum up to 90, we can make an equation:

(9x - 6) + (2x + 8) = 90

11x + 2 = 90

11x = 88

x = 8

Answer:

11/50

Step-by-step explanation:

22% = 22/100 = 11/50

11/50 cannot be reduced further.

The amount that he owes after one year is 1792.09 dollars. Then the correct option is C.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Rodney owes $1,541.05 on his credit card.

His card has an APR of 16.29%, compounded monthly.

Assuming that he makes no payments and no purchases.

He owes after one year will be

Amount = 1541.05 × 1.1629

Amount = 1792.087 ≅ 1792.09

More about the percentage link is given below.

https://brainly.com/question/8011401

Answer:

261

Step-by-step explanation:

a²+b² = c²

Given, a = ?

b = 24

c = 262

a² = c² - b²

a²= 262² - 24²

a² = 68644 - 576

a² = 68068

a = √68068

∴ a=  260.89844

can be said as 261

Answer:

[tex]H = \frac{V}{\pi r^{2} }[/tex]

Step-by-step explanation:

So long as you have the volume and radius of a cylinder, it should be easy!

Simply divide the volume (V) of the cylinder by Pi Radius Squared ([tex]\pi r^{2}[/tex]).

That is the formula for finding the height of a cylinder!

I hope this helped!

Answer:

8 cm

Step-by-step explanation:

We first want to draw a diagram with the given information.

I am unsure if the image shows below, or if it is an attachment.

We then see we have a right triangle. What is a theorem that is commonly associated with right triangles?

So we use the pythagorean theorem to find the missing leg of the triangle has a length of 4 cm. But how does this help us? Well, when finding the distance from the center of a circle to a chord, we always find the line that is perpendicular to the chord and divides it in half (and passes through the center), and find the length.

So, the leg of length 4 we just found? That's half of our answer.

Since 4 × 2 = 8, we know that the length of AB is 8 cm.

3 huts are built by 5 people in 21 days.

So 1 hut is built by 5 people in 7 days.

That is to say, 1 hut requires 5*7 = 35 man-days.

Which means 6 huts need 6*35 = 210 man-days.

If the time available is 15 days, 6 huts will need 210 man-days/15 days = 14 people.

Answer = 14 people.

Answer:

Exactly one solution.

Step-by-step explanation:

When you simplify and combine like terms, you end up with 23y=0. This means that y=0 is the one and only solution.

Answer:

B

Step-by-step explanation:

23y+50+27y=50y+50

find your same like terms and solve

23y+27y+51y

51y+50=50y+50

51y +50y=50+50

you would be left with one solution

101y=100

Answer:

  A = 72

  B = 16

Step-by-step explanation:

Ratio problems can often be worked by considering them in terms of "ratio units." Here, the difference in ratio units is 9-2 = 7. The difference between the actual numbers is A -B = 56. This means each ratio unit stands for an actual number value of 56/7 = 8

Then the ratio of actual values is ...

  A : B = (9·8) : (2·8) = 72 : 16

Check: These actual values of A and B have a difference of 72-16 = 56.

  (A, B) = (72, 16)

Answer:

1.-(-2/15)=2/15

2.-(-13/17)=13/17

Step-by-step explanation:

Answer:

3.45 x 106

Step-by-step explanation:

Answer:

3.45 * 10⁶

Hope that helped :D

Answer:

It rained 3/8 cm more on Tuesday than Monday.

Step-by-step explanation:

What I first did is convert the fraction 3/4 into 6/8 (multiply both sides by two) so I could get a common numerator to solve the two fractions. Then, I gave one whole from the 2 wholes in 2 1/8 to 1/8 to make it easy to subtract with 6/8 (I wuldn't like to do 1/8-6-/8) and made it into 9/8. Then it's simple subtraction (oh yes and don't forget to turn the 2 into 1 since it lost a whole) and voila! 3/8 cm

Answer:

43.185

Step-by-step explanation:

43.185.is the upper bound of 43.18 which is corrected to 2 decimal places.

An element greater than or equal to all the elements in a given set

We need to find the upper bound of 43.18 cm correct to 2 decimal places

2 decimal place = 0.01

0.01 ÷ 2 = 0.005

So now add 43.18 and 0.005.

43.18 + 0.005 = 43.185.

Therefore 43.185.is the upper bound of 43.18 correct to 2 decimal places.

To learn more on Upper bound click:

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Answer:

1 - 3 (1 quarter is 25 and a dime is 10, so, 3.)

4 - 10

6 - 15

14 - 33

Step-by-step explanation:

The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet

The circumference of a circle is the distance round the circle. It is the perimeter of the circle.

circumference of a circle = 2πr

2 x 20 x 3.14 = 125.60 feet

Number of revolutions = 8 x 125.60 feet = 1004.80 feet

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

Answer: 4/3

Step-by-step explanation:

Answer:

7 2/8

Step-by-step explanation: