The ratio of boys to girls in a class is 5:4.There are 36Students in the class.how many students are girls?

Given:

The expression is:

[tex]6\div 8[/tex]

To find:

The value of the given expression by using the long division method.

Solution:

We have,

[tex]6\div 8[/tex]

Here, dividend is 6 and divisor is 8.

Since 6<8, therefore we will use the decimal in dividend and quotient as shown below:

[tex]\underline{\quad 8\quad}|\overline{\quad 6.00\quad }|\underline{\quad 0.75\quad }[/tex]

         [tex]\underline{\quad 56\quad }[/tex]

               [tex]40[/tex]                  (After subtraction)

           [tex]\underline{\quad 40\quad }[/tex]

             [tex]\underline{\quad 0\quad }[/tex]               (After subtraction)

Therefore, the value of the given expression is 0.75.

Mercury is the smallest and fastest planet in the solar system. It is also the closest planet to the sun. It is named after the Roman messenger god Mercury, the fastest Roman god.

Answer:

C. 64, 32, 16

Step-by-step explanation:

This geometric sequence is made by dividing the numbers by 2:

512 ÷ 2 = 256

256 ÷ 2 = 128

Hence, the next term will be

128 ÷ 2 = 64

64 ÷ 2 = 32

32 ÷ 2 = 16

Therefore, the correct answer is C.

The next 3 terms in the given geometric sequence are 64, 32, and 16, respectively. The correct option is C.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

The given series is a geometric sequence, therefore, the common ratio between any two terms will be the same. Therefore, we can write, the ratio as,

Common ratio, r = a₂ / a₁ = 256 / 512 = 1/2

Now, the nth term of the given sequence can be defined as,

aₙ = a₁ × r⁽ⁿ⁻¹⁾

   = 512 × (1/2)⁽ⁿ⁻¹⁾

Therefore, the next term of the given geometric progression will be,

a₄ = 512 × (1/2)³ = 64

a₅ = 512 × (1/2)⁴ = 32

a⁶ = 512 × (1/2)⁵ = 16

Hence, the next 3 terms in the given geometric sequence are 64, 32, and 16, respectively.

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Answer:

I think its c

Step-by-step explanation:

Answer:

[tex]W=2.58 unit[/tex]

[tex]L=15.5 unit[/tex]

Step-by-step explanation:

From the question we are told that:

Area [tex]A=40[/tex]

Equation

Length [tex]L=6LW[/tex]

Generally the equation for Area of a rectangle is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=W*(6W)[/tex]

 [tex]A=6W^2[/tex]

 [tex]W=\sqrt{40/6}[/tex]

 [tex]W=2.58 unit[/tex]

Therefore Length is

 [tex]L=6W[/tex]

 [tex]L=6(2.58)[/tex]

 [tex]L=15.5 unit[/tex]

Length = 10

Width = 4

The dimensions of the rectangle would be 10 by 4.

Step-by-step explanation:

-6y + y=-30

-5y = -30

y=6

x=-6 ×6= -36

Answer:

x = 60

Step-by-step explanation:

t = [tex]\frac{k}{x}[/tex]

15 = k/68

k=1020

~~~~~~~~~~~

17 = 1020/x

x = 1020/17

x = 60

The speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

The rate of change of position of an object in any direction is called speed.

[tex]speed = \frac{distance}{time}[/tex]

According to the given question

At a speed of 68 miles per hour, the trip will be complete in 15 hours.

⇒ Total distance covered in 15 hours = 68 × 15 = 1,020 miles  

( because, distance = speed × time)

Therefore, the speed of car to complete the trip in 17 hours

= [tex]\frac{1020}{17} =60miles/hr[/tex]

Hence, the speed of car must be 60mile/hour, so that the trip will complete in 17 hours.

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Answer and Step-by-step explanation:

All triangles have a sum of their angles to be 180 degrees. So, to find x, we need to subtract the two given sides from 180 degrees.

180 - 38 - 83 = 59

x = 59 degrees.

#teamtrees #PAW (Plant And Water)

Answer:

A:He is trying to find the diameter

B: 3.14*14=43.96

C: 3.14*14^2=615.44

Hope This Helps!!!

Answer:

2.24

Step-by-step explanation:

the total surface area=

(3+10+5+10+6)×(20) + (2×3×24) + (2×½×(14+10)×3)

= 680 + 144 + 72

= 896 ft²

the paint will be needed at least :

896/400 × 1 gallon = 2.24 gallons

Answer:

9 dots

Step-by-step explanation:

each step adds 2 dots every time

Answer:

B) 5

Step-by-step explanation:

The given parameters are;

The number of shots at the basket = 5 shots

The number of ways to make exactly 4 shots is given by combination as follows;

The number of ways to shoot exactly 4 shots = ₅C₄ = 5!/(4!×(5 - 4)!) = 5

The number of ways to shoot exactly 4 shots = 5 ways

Answer:

[tex]A^{I}[/tex]= (7, -1)

Step-by-step explanation:

Rotation is a method of rigid transformation in which a point is moved about a reference point through a stated angle. The rotation could be clockwise or counterclockwise so as to produce the image of the initial object.

In the polar coordinate given, the coordinate of A is given as;

A = (3, 3)

On rotating point A about point C counterclockwise for [tex]270^{o}[/tex], an image [tex]A^{I}[/tex] would be produced.  

But [tex]A^{I}[/tex] would have a coordinate;

[tex]A^{I}[/tex]= (7, -1)

The image of A produced is [tex]A^{I}[/tex] (7, -1).

Answer:  A, 4^4

Step-by-step explanation:

4^7/4^3 = 4^4

Answer:

[tex]4^{4}[/tex]

Step-by-step explanation:

Rewrite the division as a fraction.

[tex]\frac{4^{7} }{4^{3} }[/tex]

Cancel the common factors.

[tex]\frac{4^{3}*4^{4} }{4^{3}*1 }[/tex]

[tex]4^{4}[/tex]

Hope this helps!

Reach out to me if you need more help with these types of problems.

Answer:

Amount = £37

Step-by-step explanation:

Let Rose be represented by R.

Let Haydn be represented by H.

Given the following data;

Total amount = £250

Ratio of R:H = 2:3 = 2 + 3 = 5

To find how much Rose earned;

R = 2/5 * 250

R = 500/5

R = £100.

For Haydn;

H = 3/5 * 250

H = 750/5

H = £150

Next, we calculate the amount Haydn gave to charity;

Percent = 42% = 42/100 = 0.42

H = 0.42 * 150

H = £63

To find how much more Rose gave to charity than Haydn;

Amount = R - H

Amount = 100 - 63

Amount = £37

Answer:

∠TSR ∠S

Hope this helps! :)

Answer:

DEC and AEB are the same angles

Step-by-step explanation:

sketch the mother function of |x| then go 3 steps to the right horizontally and that's it

Answer:

x^2-2x-13

Step-by-step explanation:

f(x) = 2x-5

g(x) = x^2 -4x-8

f(x) +g(x) = 2x-5 +  x^2 -4x-8

Combine like terms

              = x^2+2x-4x-5-8

               =x^2-2x-13

Step-by-step explanation:

Answer:

my answer is 660

Step-by-step explanation:

300+250+110=660

Answer:

1548.09173333

Answer:

43%×64%÷3+86×18=

1548.09173333

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

The answer would be [tex]x < -2[/tex] OR [tex]x \ge 4[/tex].

Step-by-step explanation:

Do pay attention to the hollow circle from which [tex]x < -2[/tex] is found; that means the value of x does not include -2, and therefore the < sign is used.

Hope this helped!

hmmmmmmmm

hope it helps

Step-by-step explanation:

here is the answer for your question

Answer:

43

Step-by-step explanation:

We have to find angle CXY

So,

YE/EX=DY/CX

Therefore XY//CD [Theorem]

Angle D =Angle Y [Corresponding Angles]

Angle E + Angle Y +Angle X=180

Angle X=180-(Angle E + Angle Y)

Angle X=180-(89+48)

Angle X=180-137

Angle X=43

Angle CXY=43 Degree

Answer: if its decimal and it wants you to round to next place to the tenths place

Step-by-step explanation: if it means to look at the hundredth's place to find your answer  if its bigger than five your second number will add up if its lower than five it stays the same

Answer:

line n

Step-by-step explanation:

Line n goes through points A and G on the diagram.

the value of y is equal negative

Answer:

5h+6=16

Step-by-step explanation:

He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.

Answer:

5(2)+6=16

Step-by-step explanation:

That should be it! Contact me if you need to know why.

Answer:

x = 32 and BEC = 43

Step-by-step explanation:

3X + 41 = 137

3X = 96

X = 32

FOR BEC:

137 + 137 = 274

360-274=86 ( ANGLES AROUND A POINT ADD UP TO 360)

86/2 = 43

BEC/AED = 43 ( VERTICALLY OPPOSITE ANGLES ARE EQUAL)

hope this helps good luck!

Answer:

Giá một cuốn sách là $ 1000

Step-by-step explanation:

Được

Tổng chi phí sách = 60000

Tổng số bạn bè = 10

Sách do mỗi người bạn mua = 2

Như vậy, tổng số sách mua của cả 10 bạn = 10 * 2 = 20

Giá của một cuốn sách = Tổng giá / tổng số sách đã mua

Giá một cuốn sách = 20000/20 = 1000

Giá một cuốn sách là $ 1000