Here are the results of a survey of 525 people in a town.
• 135 females speak Welsh.
• 163 males do not speak Welsh.
• 238 people do not speak Welsh.
Use the results of the survey to work out the ratio
males in town who speak Welsh : males in town

Answer:

Step-by-step explanation:

64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³

Answer:

See below ~

Step-by-step explanation:

#1)

#2)

#3)

Answer:

16

Step-by-step explanation:

So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.

Then 56-the sum of the 3 numbers you already have (11+12+17=40)

56-40=16

To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14

Answer:

<B = 70°

Step-by-step explanation:

First we need to find x, lets plugin these two equations.

2x - 30 = x + 20

Then find like terms

2x = x + 50 =

x = 50

Then we plugin 50 for x

2(50) - 30 =

100 - 30 = 70

<B = 70°

Hi!

The Triangle Angle Sum Theorem states that the sum of the interior angles in all triangles will always be 180 degrees.

We can set up an equation with the given information:

40 + (2x - 30) + (x + 20) = 180

Remove parentheses:

40 + 2x - 30 + x + 20 = 180

Combine like terms:

30 + 3x = 180

Subtract 30 from both sides:

3x = 150

Divide both sides by 3:

x = 50

Now, the problem wants us to solve for angle B.

Angle B is (2x - 30) degrees. We know the value of x, so we just have to substitute:

(2x - 30)

(2(50) - 30)

100 - 30

70

Therefore, angle B is 70 degrees.

[tex]a = \frac{(9.5 + 23.1) \times 5.8}{2} \\ [/tex]

[tex]a = \frac{32.6 \times 5.8}{2} \\ [/tex]

[tex]a = 16.3 \times 5.8[/tex]

[tex]a = 94.54 \: \: {m}^{2} [/tex]

Answer:

y^2 - 28/7

Step-by-step explanation:

Answer:

The first option is the best

Step-by-step explanation:

1       (1+ 07/4)^4 = 7.186 % annual

2      ( 1+.068/12)^12 = 7.0159 %   annual

3       7.1 %

4       (1 + .069/365)^365 = 7.143

So

[tex]\\ \rm\Rrightarrow v=r\omega[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{v}{\omega}[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{1}{4}[/tex]

[tex]\\ \rm\Rrightarrow r=0.25ft[/tex]

Convert to ft

1 min=60s

Hence

So

[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow r=0.025in[/tex]

Convert to ft

None of the above

The radius of the smaller gear is 15 feet, Option C is correct.

Velocity is defined as the rate of change of distance of a body with respect to time

We can use the relationship between linear velocity and angular velocity for gears to solve this problem:

v = rω

where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.

We are given the linear velocity of the larger gear, which is 17π/6 inches per second.

v = 17π/6 inches per second

ω = (34π/3) / 60 radians per second

the radius of the smaller gear is:

r = v / ω

= (17π/6) / ((34π/3) / 60)

= 17π/6×60/(34π/3)

=17π/6×60×3/34π

= 1/6 ×60× 3/2

= 180/12

=15 feet

Hence,  the radius of the smaller gear is 15 feet.

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Answer:

4g² - 36gh + 81h²

Step-by-step explanation:

Apply the perfect square formula: (a - b)² = a² - 2ab + b²

(2g - 9h)²​ = (2g)² - 2(2g)(9h) + (9h)²

Simplify:

2g² = 4g²

-2 · 2g = -4g · 9h = -36gh

9h² = 81h²

= 4g² - 36gh + 81h²

hope this helps!

There are different ways to construct an angle. The steps used in constructing a line segment are;

First, you have to put the compass at a one specific end of line segment.

Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.

Then you have to draw arcs up and down the line.

while using the same compass width, you then draw arcs from one specific end of line.

and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.

The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.

What are the construction process of Angles?

This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.

Learn more about line segment from

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The steps to construct an angle and its bisector are described above.

The angle can be defined as the one line inclined over another line.

Here,
Step 1,
Draw a random size horizontal line,

Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,

Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.

Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed

Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.

Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.

Thus, The steps to construct an angle and its bisector are described above.

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[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]

[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]

Thus :

[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]

Over interval [0 , 2pie ) :

[tex] \cos(x) = 0[/tex]

[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]

[tex] \tan(x) - \sqrt{3} = 0[/tex]

[tex] \tan(x) = \sqrt{3} [/tex]

[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]

[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]

____________________________________________

Thus the solutions are :

[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]

As u can see the first option is the correct answer .

And we're done....

Answer:

The answer is

→ [tex]3 \frac{1}{8}x + 9\frac{11}{14}[/tex]

Step-by-step explanation:

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Answer:

Let s = his speed on the outbound trip

Then s + 20 = his speed on the return trip

Let t = his travel time on the outbound trip

Then t - 10 = his travel time for the return trip

Given: d = 750

Since distance = speed x time, for the two trips we have

750 = s*t

750 = (s+20)(t-10)

Solve for t in the 1st equation, substitute in the 2nd:

750 = (s+20)(750/s-10)

Solve for s:

750 = 750 - 10s + 15000/s - 200

Simplify:

s^2 + 20s - 1500 = 0

Factor:

(s+50)(s-30) = 0

Take the positive solution, s = 30

So the rates are 30 kph and 50 kph

Answer:

12h+94=250, she will need to work 13 hours.

Step-by-step explanation:

we subtract 94 from 250, 250-94=156then we divide it by 12 which equals 13, 13=h.

Answer:

B. 28

Step-by-step explanation:

boy to girls

4:3 to 16:?

4x4=16

so you would do

3x4=12

Now add them, 16+12=28

Answer:

If it’s 10%, 90x.90 plus 0x.10 = 81.If it’s 15%, 90x.85 plus 0x.15= 76.5If it’s 20%, 90x.80 plus 0x.20= 72.If it’s 25%, 90x.75 plus 0x.25= 67.5If it’s 30%, 90x.70 plus 0x.30= 63.If it’s 40%, 90x.60 plus 0x.40= 54.If it’s 50%, 90x.50 plus 0x.50= 45.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

multiply 50 by 6 to get to 300

then 6 by 2 and you get 12

Answer:

B. 12

Step-by-step explanation:

The table shows the results after 50 spins; believing the results to be consistent, we would multiply the results by 6 to estimate the results after the spinner is spun 300 times.

I hope this helps.

Answer:

1 7/8 - 1 5/8 = 2/8.

Step-by-step explanation:

The amount of milk in cups that Samuel had after he made biscuits is 1/4 cups.

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

Amount of milk Samuel had = 1 7/8 cups

Amount of milk used to make biscuits = 1 5/8 cups

We have to find the amount of milk left after he made the biscuits.

This is found by subtracting the total amount of milk by the amount of milk used to make the biscuits.

Amount of milk left = 1 7/8 - 1 5/8

                                = 2/8

                                = 1/4 cups

Hence 1/4 cups of milk will be left.

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Answer:

(1,3)(1,4)

Step-by-step explanation:

One input cannot have two outputs so one x-value cannot have two y-values.

Area = pi x r^2

R is radius which is 1/2 the diameter

r = 18/2 = 9

area = 3.14 x 9^2

Area = 254.34 mm^2

B.

   [tex]x^2-8x+97=0[/tex]

[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4\times1\times97}}{2\times1}\left\{x=\left.\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}\right\}\right.[/tex]

  [tex]=\frac{8\pm\sqrt{-324}}{2}[/tex]

  [tex]=\frac{8\pm18i}{2}\left\{i^2\right.=-1\Longrightarrow\sqrt{-1}=\left.\ i\right\}[/tex]

[tex]\Rightarrow x_1=4-9i,x_2=4+9i[/tex]

[tex]\therefore Choose\ B.[/tex]

I hope this helps you

:)

Answer:

10.526% or 0.10526

Step-by-step explanation:

The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421.  Multiply these probabilities together to get your answer.  

Hope this helps:)

the anwer to your question is very ieasy it's b

b = 14

Step-by-step explanation:

3b/7 - 1 = 5

+1

3b/7. = 6

x7

3b. = 42

÷3

b = 14

Hope this helps!

Answer:

the expression is equal to 40

Step-by-step explanation:

When given a= 5 and b=2, you can change your expression to read

3+11(5)-9(2)

All you have to do is simplify and you are given 40 :)