In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?

Answer:

X= 11

Step-by-step explanation:

Move constant to the right side and change its sign

Answer:

H * 2g/w² = R² - r²

r² = R² - H * 2g/w²

r = √(R² - H * 2g/w²)

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

   [x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

   (x + 2)² + (y - 5)²- 29 + 20 = 30

   (x + 2)² + (y - 5)²- 9 = 30

   (x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

    Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

    Slope of the line joining this point to the center (-2, 5),

    [tex]m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          = [tex]\frac{10-5}{2+2}[/tex]

          = [tex]\frac{5}{4}[/tex]

    Let the slope of the tangent which is perpendicular to this line is '[tex]m_{2}[/tex]'

    Then by the property of perpendicular lines,

          [tex]m_{1}\times m_{2}=-1[/tex]

          [tex]\frac{5}{4}\times m_{2}=-1[/tex]

                 [tex]m_{2}=-\frac{4}{5}[/tex]

   Now the equation of the line passing though (2, 10) having slope [tex]m_{2}=-\frac{4}{5}[/tex]

           y - y' = [tex]m_{2}(x-x')[/tex]

           y - 10 = [tex]-\frac{4}{5}(x-2)[/tex]

           y - 10 = [tex]-\frac{4}{5}x+\frac{8}{5}[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{8}{5}+10[/tex]

                  y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Therefore, equation of the line will be, y = [tex]-\frac{4}{5}x+\frac{58}{5}[/tex]

Answer:

7 times x

Step-by-step explanation:

When the expression is seen, we can say that it displays 7 times x.

The range is all the possible y values, so the set with all the arrows.

Answer: B. {3,9,12}

Answer:

B

Step-by-step explanation:

The range means the y coordinates or output

In this the output are the numbers on the right.

We can also find the answer by eliminating.

Option A could not be the answer because it is only one of the numbers from the range.

Option B is the answer because it includes all the numbers from the range.

Option C and Option D could not be the answer because they include other numbers from the domain (which we are not trying to find).

This is an example here below

Hope this helped!!

Answer:(x-3)(x-3)

Step-by-step explanation:

(x-3)(x-3)=x^2-6x+9

Answer:

Step-by-step explanation:

Answer:

678

2

679

Step-by-step explanation:

Number of people: 5426

Capacity of table: 8

How many tables are full?

How many people are sitting at a table that is not full?

or

How many tables are needed for all 5,426 people?​

Answer:

b = -4

Step-by-step explanation:

Divide by 2:

b + 12 = 8

b = -4

Answer:

B = -4

Step-by-step explanation:

Take,

-4 + 12 = 8

Then,

8 x 2 = 16.

Answer:

The middle choice

Step-by-step explanation:

The first figure starts on the upper right corner and goes around from A to B to C to D.

So the smaller figure should do the same thing. It should start from the upper right (S) and go through T U V. Which it does.

Answer:

Determine whether each pair of polygons is similar

Step-by-step explanation:

Similar Polygons: 2 Polygons are similar if and only if their corresponding angles are congruent & Corresponding sides are proportional. hope this helps you :)

Answer:

  4 cm

Step-by-step explanation:

You want the length of the smaller of two similar pieces of cardboard when the larger has an area of 150 cm² and a length of 10 cm, while the smaller has an area of 24 cm².

The scale factor for lengths is the square root of the scale factor for areas. It will be ...

  √(24/150) = 0.4 . . . . . . = smaller / larger

The smaller cardboard has a length of ...

  0.4 × 10 cm = 4 cm

__

Additional comment

Sometimes folks like to write this as a proportion:

  [tex]\dfrac{\text{smaller length}}{\text{larger length}}=\sqrt{\dfrac{\text{smaller area}}{\text{larger area}}}[/tex]

Solving this for "smaller length" gives the expressions we used above:

  smaller length = (larger length) × √(smaller area/larger area)

Answer:

same time , 12 minutes

Step-by-step explanation:

'A' can eat 1÷6 pizza in 2 minutes

Therefore, 'A' can eat full pizza in 6×2 minutes=12 minutes

'B' can eat 1÷4 pizza in 3 minutes

therefore, 'B' can eat full pizza in 3×4 minutes=12 minutes

So, Both 'A' and 'B' will finish at same time.

Answer:

Each piece has 1/5 of 4 feet of rope.

Step-by-step explanation:

There is 4 feet of rope in total. They are divided into 5 pieces. That means that each piece will have 1/5 of 4 feet of rope.

Answer:

15 litres

Step-by-step explanation:

1/3 x= 5

x= 5 : 1/3

x= 5*3

x= 15 litres

Answer:

33.3%

Step-by-step explanation:

Take the original price and subtract the new price

36-24=12

Divide this by the original price

12/36 = 1/3 = .33333repeating

Multiply by 100 % to get to percent form

.3333 repeating * 100%

33.3333%

Round to the nearest tenth

33.3%

Answer:

Step-by-step explanation:

The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify.  For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):

[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:

[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)

The above then simplifies to

[tex]-7x^2-2x+5[/tex]

The next one, after distributing the negative into the parenthesis:

[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):

[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to

[tex]7x^2+2x-5[/tex]

Now for the last one:

[tex]12x^2+6x-5-5x^2-8x+12[/tex] and

[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to

[tex]7x^2-2x+7[/tex]

Answer:

=-2

Step-by-step explanation:=-2

cuz i calculated it

its right

Answer:

-2

Step-by-step explanation:

First, the parentheses are calculated.

The denominators must be equal for removal.

2(10/9) - 3(5/6) = 20/18 - 15/18 = 5/18

Now we're going to multiply.

-36/5 × 5/18 = -36/18 and its equals to -2

Answer:

6=-3+r

r=9

Step-by-step explanation:

Answer:

9=r

Step-by-step explanation:

6=-3+r

+3 = +3

add 3 to both sides

9=r

Answer:

c=10

Step-by-step explanation:

c² =8²+6²

c² =64+36

c²= 100

[tex] \sqrt{100} [/tex]

= 10

Answer:

Barlow School has the greater number of boys by  178.

Answer:

Barlow school by 178

Step-by-step explanation:

→ First let's work out the number of boys at Barlow school

[tex]\frac{4}{9}[/tex]  of  [tex]873[/tex]  [tex]=[/tex]  [tex](873/9)*4[/tex]  [tex]=[/tex]  [tex]388[/tex]

→ There is 388 boys in Barlow school. Now let's work out the number of boys at Willow school. Since we know that  [tex]\frac{2}{3}[/tex]  of the school is girls, it must mean that the remaining part must be boys so the fraction of boys at Willow school is  [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{3}[/tex]  of  [tex]630[/tex]  [tex]=[/tex]   [tex](630/3)*1[/tex]  [tex]=[/tex] 210

→ The question specifies to say which school has a greater number of boys and we can see Barlow school has more boys and the question says by how many so we take away the totals so 388 - 210 = 178

Answer:

A.

Step-by-step explanation:

The sum of a number, x, and 4 just means x + 4.

If we take twice this sum, it implies that we take the resulting number and multiply it by 2.

Our resulting number is x + 4, so we are left with 2(x + 4).

I hope this helps!

The correct answer is twice the sum of a number and four.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, 2(x+4)

The sum of a number, x, and 4 just means x + 4.

Taking twice of the sum, it implies that we take the resulting number and multiply it by 2.

The resulting number is x + 4, so it is 2(x + 4).

Hence, The correct answer is twice the sum of a number and four.

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Answer:

Nope

Step-by-step explanation:

Please we are not here to joke.find some where else to do such but not here

Answer:

Meh

Step-by-step explanation:

Answer:

3c + 3

hope this helps.

Answer:

3c + 3

and

2c  + c + 3

Answer:

25%

Step-by-step explanation:

Take the number of boys over the total

6/24

1/4

Change to a decimal

.25

Change to a percent

25%

Answer:

$1.80

Step-by-step explanation:

(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!

Answer:

18

Step-by-step explanation:

The order from least to greatest is 12,14,16,18,19,22,122.

The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.  

5. tan(30) =4/g

g = 4/tan(30)

g = 4√3

sin(30) = 4/h

h = 4/sin(30)

h = 8

6.

tan(30) = 14/l

l = 14/tan(30)

l = 14√3

sin(30) = 14/m

m = 14/sin(30)

m = 28

7.

sin(30) = j/50

j = 50 x sin(30)

j = 25

cos(30) = k/50

k = 50 x cos(30)

k = 25√3

=========================================================

Explanation:

f(x) = -x+9

f(0) = -0+9 .... replace x with 0

f(0) = 9

We will replace f(0) with 9 in the g(x) function. In other words, we plug in x = 9 into the g(x) function

This is because g( f(0) ) = g( 9 )

g(x) = x^2 - 6x + 9

g(9) = 9^2 - 6*9 + 9 ... replace x with 9

g(9) = 81 - 54 + 9

g(9) = 36

Therefore, g(f(0)) = g(9) = 36 or simply g(f(0)) = 36

-----------------------

Another method is to compute g(f(x)) algebraically first

g(x) = x^2 - 6x + 9

g(f(x)) = ( f(x) )^2 - 6*( f(x) ) + 9 .... replace every x with f(x)

g(f(x)) = ( -x+9 )^2 - 6*( -x+9 ) + 9 .... replace f(x) with -x+9

g(f(x)) = x^2 - 18x + 81 + 6x - 54 + 9

g(f(x)) = x^2 - 12x + 36

then we plug in x = 0

g(f(x)) = x^2 - 12x + 36

g(f(0)) = 0^2 - 12*0 + 36 ... replace x with 0

g(f(0)) = 36

Answer:

  6.48 days

Step-by-step explanation:

  [tex]D(t) = -21\cos\left(\dfrac{2\pi}{29.5}t\right) + 384\\\\380=-21\cos\left(\dfrac{2\pi}{29.5}t\right)+384\\\\\dfrac{4}{21}=\cos\left(\dfrac{2\pi}{29.5}t\right)\qquad\text{subtract 384, divide by -21}\\\\\dfrac{2\pi}{29.5}t=\arccos{\dfrac{4}{21}}\qquad\text{use the inverse cosine function}\\\\t=\dfrac{29.5}{2\pi}\arccos{\dfrac{4}{21}}\approx 6.4752\quad\text{days}[/tex]

About 6.48 days after perigee, the moon reaches a distance of 380,000 km from Earth.

Answer:

D

Step-by-step explanation:

Plug in 6 as x in the function

h(6) = 3(6) - 4

h(6) = 18 - 4

h(6) = 14

Answer:

The answer is 14 because 3 x 6 is 18 and 18 - 4 is 14

Step-by-step explanation: