I missed the class on rationalising denominators.
Can anyone please help me with these three maths along with explanations.

Answer:

A: 39.1304348% OR 39%

B: 33.3%

Step-by-step explanation:

Part A:

find the total amount of children: 90+20+80+40=230

90-20=50

i got this from taking away the amount that like watching tv and not reading so from this you know 50 of those 90 that like watching tv also like tv and reading.

80-40=40

(same explanation as 90-20=50)

then do 50 +40 which equals 90

now you need to turn it into a percentage.

90/230=

9/23

=39.1304348%

if you need round it, do so!

Part b:

40+20=60

20/60= 2/6

=1/3

=33.3%

Answer:

The coordinates of the triangle, (3, 6), (3, -3), and (3, 3), dilated by a magnitude of 3 is;

(9, 18), (9, -9), and (9, 9)

Step-by-step explanation:

The vertices of the given triangle are;

(3, 6), (3, -3), and (3, 3)

A dilation with a magnitude of 3 can be found as follows;

For each value of the x, and y-coordinates of the vertices, we multiply by the magnitude of dilation

As an example, the coordinate of the points on a line, (x₁, y₁) and (x₂, y₂), dilated by a scale factor of m, will become, (m·x₁, m·y₁) and (m·x₂, m·y₂)

Therefore, we have foe a magnitude of 3;

(3, 6), (3, -3), and (3, 3) becomes, (3×3, 3×6), (3×3, 3×(-3)), and (3×3, 3×3)

(9, 18), (9, -9), and (9, 9).

Answer:

(9, 18), (9, -9), and (9, 9)

Step-by-step explanation:

Answer:

[tex] L_o= 1500 cm[/tex]

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

[tex] L_f = L_o (1-0.2)^t[/tex]

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

[tex] L_f = 1500cm(0.8)^2 = 960cm[/tex]

Step-by-step explanation:

For this case we know that the initial volume of water is:

[tex] L_o= 1500 cm[/tex]

And we know that the level is decreasing 20% each day so then we can use the following model for the problem

[tex] L_f = L_o (1-0.2)^t[/tex]

Where t represent the number of days and L the level for this case we want to fnd the level after two days so then t =2 and replacing we got:

[tex] L_f = 1500cm(0.8)^2 = 960cm[/tex]

Answer:

50 pounds

Step-by-step explanation:

Dan and june mix two kind of feed for pedigreed dogs

Feed A worth is $0.26 per pound

Feed B worth is $0.40 per pound

Let x represent the cheaper amount of feed and y the costlier type of feed

x+y= 70..........equation 1

0.26x + 0.40y= 0.30×70

0.26x + 0.40y= 21.........equation 2

From equation 1

x + y= 70

x= 70-y

Substitutes 70-y for x in equation 2

0.26(70-y) + 0.40y= 21

18.2-0.26y+0.40y= 21

18.2+0.14y= 21

0.14y= 21-18.2

0.14y= 2.8

Divide both sides by the coefficient of y which is 0.14

0.14y/0.14= 2.8/0.14

y= 20

Substitute 20 for y in equation 1

x + y= 70

x + 20= 70

x= 70-20

x = 50

Hence Dan and june should use 50 pounds of the cheaper kind in the mix

Answer: The coordinates of D are (1,-12) .

Step-by-step explanation:

Given : Translation rule : (x, y) → (x + 6, y – 10)  is applied to figure ABCD.

From the figure below, we have figure ABCD in which

The coordinates of D = (-5,-2)

According to the given translation rule :

D(-5,-2) → D'(-5 + 6, -2 – 10)    (coordinates of image point D')

i.e. D(-5,-2) → D'(1, -12)    [-5+6 = 1, -2-10 = -12]

Hence, the coordinates of D are (1,-12) .

Answer:

B. (1, –12)

Step-by-step explanation:

edge2021

Answer:

127 500

Step-by-step explanation:

Let x be the missing value.

● 510 000 => 100

● x => 25

x = (25*51000)÷100 = 127 500

Answer:

hope it helps

Step-by-step explanation:

25 percent of 510,000 = 127,500

Answer:

The value of M₁₁ is -6.

Step-by-step explanation:

The minor, [tex]M_{ij}[/tex] is the determinant of a square matrix, say P, formed by removing the ith row and jth column from the original square matrix, P.

The matrix provided is as follows:

[tex]A=\left[\begin{array}{ccc}7&9&-3\\3&-6&5\\4&0&1\end{array}\right][/tex]

The matrix M₁₁ is:

Remove the 1st row and 1st column to form M₁₁,

[tex]M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|[/tex]

Compute the value of M₁₁ as follows:

[tex]M_{11}=\left|\begin{array}{cc}-6&5\\4&0\end{array}\right|[/tex]

       [tex]=(-6\times 1)-(5\times 0)\\\\=-6-0\\=-6[/tex]

Thus, the value of M₁₁ is -6.

Answer: 13/20 - 2/5 = 1/4 ( Using LCD)

Step-by-step explanation:

Given: 13/20 - 2/5 = ? Use LCD

1) First we need find the least common multiple of the denominator (20 and 5) which is 20.

2) Since we know the least common multiple we know need to switch the two fractions up but since one of the denominator is already 20 ( 13/20) we now need to fix the other fraction (2/5).

3) We need to make it the same for both fractions so we want the same denominator as the first fraction (20) so we multiply 5 by 4 since 5 x 4 = 20 and we get 20, while also doing the same thing with the numerator. So we times 2 by 4 and we get 8.

4) Now our two fractions are now 13/20 and 8/20.

5) Our next step is to subtract the numerator, so its 13-8 which we get 5.

6) So now we have 5/20 and we want to simply to the smallest fraction so we find a number that is divisible and can make the smallest fraction which is 5.  

5/5 and 20/5 and we get 1/4.

Answer:

(5 1/3)/7

Step-by-step explanation:

Divide 4 by 3, then times it by four and put it over the 7

Answer: 9

Step-by-step explanation:

[tex]3^2 + \frac{3}{3}-1\\\\=9+1-1\\\\=9[/tex]

Answer:

This graph is nonlinear

The initial displacement of the weight is 40cm

The weight first returns to equilibrium when t=1/2

Step-by-step explanation:

thats the answer i only had time to give not to explain

Answer:

the answer is in the photo ^^

Step-by-step explanation:

the correct thing is there for confirmation ;)

Answer:

MN = 14 ft

Step-by-step explanation:

NP tangent => ∡PNM = 90°

Pythagoras

MN = √MP² - NP²

= √50² - 48²

= √(50 - 48)(50 + 48)

= √2×98

= √196

= √14²

= 14 ft

Answer:

2/13

Step-by-step explanation:

In a standard deck of cards, there are 52 cards total, 4 kings, and 4 queens.

Probability is calculated by (number of favorable outcomes)/(number of possible outcomes), so our probability would be 8/52, which can be simplified to 2/13.

Hope this helps!

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Yellow (Y) toys = 5

Red (R) toys = 4

Total toys = yellow + red = (5 +4) = 9

WITH REPLACEMENT :

Probability that two toys of same color will be picked.

From the tree diagram.

Two toys of the same color

a.)P(Y, Y) + P(R, R) = (25/81) + (16 / 81) = 41/81

b) toys of different color :

P(Y, R) + P(R, Y) = (20/81) + (20/81) = 40/81

c.) A red toy will be picked first :

P(R, Y) = 20/81

d.) Atleast one red toy will be picked

P(Y, R) + P(R, Y) + P(R, R)

20 /81 + 20/81 + 16/81 = 56/81

2) WITHOUT REPLACEMENT :

a.)P(Y, Y)+P(R, R) = (20/72) + (12/72) = 32/72 = 4/9

b) P(Y, R)+P(R, Y) = (20/72)+(20/72)= 40/72 = 5/9

c) p(R, Y) = 12/72 = 1/6

d) P(Y, R) + P(R, Y) + P(R, R) = 20/72 + 20/72 + 12/72 = 52/72 = 13/ 18

Answer:

iii

Step-by-step explanation:

because of the amount taken from the cashews.and nuts and 1 of 3 were taken away

Answer:

16

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

Answer:

The correct option is;

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

From the given graph of the function we have the following observations;

There are two x-intercepts which are;

1) To the left of the vertical y-axis having coordinates (-1, 0)

2) To the the right of the y-axis having coordinates (3, 0)

There is only one y-intercept  having coordinates, (0, -3)

Therefore, all the intercepts of the function are, (0, -3), (-1, 0) and (3, 0).

Answer:

(0, -3), (-1, 0) and (3, 0)

Step-by-step explanation:

Answer:  10 hours

Step-by-step explanation:

The 10hp pump takes x hours to empty the pool which means it gets [tex]\dfrac{1}{x}[/tex] of the job done in one hour.

The 6hp pump takes x+5 hours to empty the pool which means it gets [tex]\dfrac{1}{x+5}[/tex] of the job done in one hour.  

Together, they can get [tex]\dfrac{1}{x}+\dfrac{1}{x+5}[/tex] of the job done in one hour.

It is given that together they get the job done in 6 hours which means they get [tex]\dfrac{1}{6}[/tex] of the job done in one hour.

10 hp pump + 6 hp pump = Together

[tex]\dfrac{1}{x}\quad +\quad \dfrac{1}{x+5}\quad =\quad \dfrac{1}{6}[/tex]

Multiply by 6x(x+5) to eliminate the denominator:

[tex]\dfrac{1}{x}(6x)(x+5) +\dfrac{1}{x+5}(6x)(x+5) = \dfrac{1}{6}(6x)(x+5)[/tex]

Simplify and solve for x:

6(x + 5) + 6x = x(x + 5)

6x +  30 + 6x = x² + 5x

       12x + 30 = x² + 5x

                  0 = x² - 7x - 30

                  0 = (x - 10)(x + 3)

                  0 = x - 10         0 = x + 3

                  10 = x             -3 = x

Since the number of hours cannot be negative, disregard x = -3.

So, the only valid answer is x = 10.

Answer:

see explanation

Step-by-step explanation:

I will begin with part two, first.

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius.

Given

x² - 18x + y² - 10y = - 6

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(- 9)x + 81 + y² + 2(- 5)y + 25 = - 6 + 81 + 25, that is

(x - 9)² + (y - 5)² = 100 ← in standard form

with centre = (9, 5 ) and r = [tex]\sqrt{100}[/tex] = 10

Answer:

(f ∘ g)(x) = 0.9x - 100

Step-by-step explanation:

Here in this question, we are interested in calculating (f ∘ g)(x)

From the question, we are given;

f(x) = x -100

g(x) = 0.9x

So (f ∘ g)(x) simply means we shall be representing the x in f(x) with the totality of the value of g(x)

Mathematically, what we are saying is that;

Find (f ∘ g)(x) = 0.9x - 100

Answer:

5

Step-by-step explanation:

Given

[tex]\frac{30b}{6b}[/tex]

Cancel the b on the numerator/ denominator.

Also the 30 and 6 can both be cancelled by 6 , thus

[tex]\frac{30b}{6b}[/tex] = [tex]\frac{30}{6}[/tex] = 5

Answer:

[tex]\boxed{5}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{30b}{6b}[/tex]

[tex]\sf Simplify[/tex]

[tex]\displaystyle \frac{30}{6} \times \frac{b}{b}[/tex]

[tex]5 \times 1[/tex]

[tex]=5[/tex]

Answer:

B

Step-by-step explanation:

using the equation y=2000*1.2^8 we can get the exact value of y which aligns with b

Answer:

a. 11/25

b. 11/25

Step-by-step explanation:

We proceed as follows;

From the question, we have the following information;

Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.

Now,

Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3

Then , P(A1 + P(A2) +P(A3) =1 ....(1)

And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)

Let P(A1) = x, then using equation (2)

P(A2) = 2x and P(A3) = 2x

(from the ratio given in the question)

Substituting these values in equation (1), we get

x+ 2x + 2x =1

Or 5x =1

Or x =1/5

So, P(A1) =x =1/5 , ....(3)

P(A2) = 2x= 2/5 and ....(4)

P(A3) = 2x= 2/5 ...(5)

Also urns A, B and C has total balls = 10, 20 , 20 respectively.

Now, if we choose one urn and then pick up 2 balls randomly then;

(a) Probability that the first ball is black

=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)

= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)

= (3/50) + (7/50) + (12/50)

=22/50

=11/25

(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.

Although the event picking of the second ball is dependent on the event of picking the first ball.

Hence, probability that the first ball is black given that the second ball is white is 11/25

​​

Answer:

130

Step-by-step explanation:

just did test on plato/edmentum..it was correct

84 (the answer above) is incorrect

Answer:

Hi sorry for late respond but the answer in 130!!

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of y is 7.

The graph of the two-equation is given below.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

3x = y - 13 ____(1)

x + 2y = 12 _____(2)

From (1) we get,

x = (y - 13)/3 _____(3)

Putting (3) in (2) we get,

(y - 13)/3 + 2y = 12

y - 13 + 6y = 36

7y = 36 + 13

7y = 49

y = 7

The graph of the equation is given below.

Thus,

The value of y is 7.

The graph of the two-equation is given below.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ6

Answer:

m = -9/4

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the coordinates into the slope formula:

m = (16 - 7)/(2 - 6)

m = 9/-4

m = -9/4

Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

         Base Area : Circle

               [tex]A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi[/tex]

        Curved Surface: conical

                [tex]A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi[/tex]

The total surface area of the cone can be written as ( A ):

               [tex]A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2[/tex]

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

               Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Lets do this step by step.

This is the trigonometric form of a complex number where [tex]|z|[/tex] is the modulus and [tex]0[/tex] is the angle created on the complex plane.

[tex]z = a + bi = |z| (cos ( 0 ) + I sin (0))[/tex]

The modulus of a complex number is the distance from the origin on the complex plane.

[tex]|z| = \sqrt{a^2 + b^2}[/tex] where [tex]z = a + bi[/tex]

Substitute the actual values of a = -5 and b = -5.

[tex]|z| = \sqrt{(-5) ^2 + (-5) ^2}[/tex]

Now Find [tex]|z|[/tex] .

Raise - 5 to the power of 2.

[tex]|z| = \sqrt{25 + (-5) ^2}[/tex]

Raise - 5 to the power of 2.

[tex]|z| = \sqrt{25 + 25}[/tex]

Add 25 and 25.

[tex]|z| = \sqrt{50}[/tex]

Rewrite 50 as 5^2 . 2 .

[tex]|z| = 5\sqrt{2}[/tex]

Pull terms out from under the radical.

[tex]|z| = 5\sqrt{2}[/tex]

The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.

[tex]0 = arctan (\frac{-5}{-5} )[/tex]

Since inverse tangent of  [tex]\frac{-5}{-5}[/tex]  produces an angle in the third quadrant, the value of the angle is [tex]\frac{5\pi }{4}[/tex] .

[tex]0 = \frac{5\pi }{4}[/tex]

Substitute the values of [tex]0 = \frac{5\pi }{4}[/tex] and [tex]|z| = 5\sqrt{2}[/tex] .

[tex]5\sqrt{2} ( cos( \frac{5\pi}{4}) + i sin (\frac{5\pi}{4}))[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The complex number (5 - 5i) in trigonometric form is

5√2 [cos(-π/4) + i sin(-π/4)]

An imaginary number is denoted by i.

The value of i is √-1.

We have,

To express the complex number (5 - 5i) in trigonometric form,

We first need to find its modulus (r) and argument (θ).

The complex number (a - bi) in trigonometric form is

|r| [cosФ + i sinФ]

Now,

Modulus (r).

|r| = √(5² + (-5)²)

= √(50)

= 5√(2)

And,

Argument (θ).

θ = [tex]tan^{-1}[/tex](-5/5)

  = -π/4

(since the complex number is in the fourth quadrant)

Therefore,

The complex number (5 - 5i) in trigonometric form is

5√2 [cos(-π/4) + i sin(-π/4)]

Learn more about imaginary numbers here:

https://brainly.com/question/6748860

#SPJ5

Answer: 108 square inches

Step-by-step explanation:

The formula for any square is base*height/2. The formual to find the area of a square is base*height. If you draw out a square and cut it in half diagonaly, you get a right triangle. That is why you divide it by 2. (sorry if the explanation was clunky/ hard to understand)

1. You would multiply 18*12 which equals 216.

2. Divide 216 by 2. 216/2= 108.

The answer is 108. Hope this helped you:)

The area of the triangle is 108 square inches.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

If we draw out a square and cut it in half diagonaly, you get a right triangle. That is why we need to divide it by 2.

The area of the triangle = 1/2 x b x h

The area of the triangle = 1/2 x 12  x 18

= 216/2= 108.

The area of the triangle is 108 square inches.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ2

Answer:

c. jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory

Step-by-step explanation:

First In First Out  FIFO is a type of inventory system in accounting, it literally implies that  the oldest purchase goes out first when you made a sale. The oldest purchase are charged based on cost of good sold. If price are rising, :

FIFO will yield a lower cost of good sold

FIFO will yield a higher net income

FIFO will yield higher tax liability

FIFO will yield a higher inventory

From the information given:

the business records show that the cost of the stores inventory items has been steadily increasing. the cost of the end of the year inventory is 200,000 and the cost of the beginning of the year inventory was 250,000.

What the statement implies is that:

jasper has apparently decreased the volume of items in his ending inventory as compared to the number of items in his beginning inventory