100 points

Kala has scored 18, 22, 19, and 26 points in her four basketball games so far. How many
points does she need to score in her next game so that her average (mean) is 21 points per
game?

Answer:

B

Step-by-step explanation:

x=180-90-20-50=20

m∠COD=20+50=70

Answer:

B

Step-by-step explanation:

∠ AOB + ∠ BOC + ∠ COD = 180° ( AOD is a straight line ) , then

20 + 90 + x + 50 = 180 , that is

x + 160 = 180 ( subtract 160 from both sides )

x = 20

Then

∠ COD = x + 50 = 20 + 50 = 70°

Answer:

A'(2, -5)

Step-by-step explanation:

we only need to focus on point a (0,4). The translation is moved 9 units down and 2 units to the right, so point (x,y) would become (x+2, y-9). plug 0 and 4 in for x and y respectively, and you get (0+2, 4-9) = (2, -5)

Answer:

74 1L bottles and 23 2L bottles

Step-by-step explanation:

We can use algebra to figure out the answer

let the 1L bottles be called m and the 2L bottles be called n

We know that:

(1) m+n = 97

and

(2) m+2n(2L bottles) = 120L

(2) - (1)

m+2n-m-n = 120-97

n = 23

and so

m = 74

Therefore, The shop owner receives 74 1L bottles and 23 2L bottles

Answer:

x=5 or x = -8

Step-by-step explanation:

|2x+3|=13

There are two solutions to this problem, one positive and one negative

2x+3 =13   and 2x+3 = -13

Subtract 3 from all sides

2x+3-3 = 13-3     2x+3-3 = -13-3

2x = 10                2x = -16

Divide each side by 2

2x/2=10/2           2x/2 = -16/2

x = 5                    x = -8

9514 1404 393

Answer:

  1921/496

Step-by-step explanation:

There are many rational approximations to √15, some better than others.

A linear approximation is often used:

  √15 ≈ 3 +(15-3^2)/(4^2-3^2) = 3 6/7 = 27/7

That can be refined by one iteration of the Babylonian method of determining the root:

  √15 ≈ (27/7 +15/(27/7))/2 = (3 6/7 +3 8/9)/2 = 3 55/63 = 244/63

This value is equivalent to the root rounded to 4 decimal places.

__

Another iteration of the Babylonian method gives the approximation ...

  √15 ≈ 119071/30744, equivalent to the root rounded to 9 decimal places.

__

The approximation 1921/496 is the best approximation that has a denominator under 1000.

_____

Additional comment

Successive rational convergents of the continued fraction approximation of √15 can be found as ...

  a'/b' = (3a +15b)/(a +3b)

This method adds approximately one more good decimal place per iteration.

__

Successive rational approximations can be found using the Babylonian method (Newton's method iteration) as ...

  a'/b' = (a² +15b²)/(2ab)

This method has "quadratic" convergence. It approximately doubles the number of good decimal places with each iteration.

You can use 3/1, 4/1, or 27/7 to begin either of these iterations.

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

Explanation:

The volume is 296 cm^3 and the height of the box is 8 cm

The area of the top is 296/8 = 37 cm^2. I'm using the idea that

volume of box = (area of base)*(height)

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

The area of the top is 37 cm^2. Apply the square root to get sqrt(37) = 6.08276 cm which is the approximate length of each side along the top. This only works if the top is a square.

Multiply this by 4 to get 4*6.08276 = 24.33104

The perimeter along the top is roughly 24.33 cm

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

The next task we have to do is convert from inches to centimeters

Multiply by 2.54 to do this.

24 & 1/4 inches = 24 + 1/4 = 24 + 0.25 = 24.25 inches

24.25 * 2.54 = 61.595 cm

The measurement 24 & 1/4 inches converts to about 61.595 cm

This means Adam has about 61.595 cm of ribbon

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

To recap, we found these two facts:

Since the amount he has (61.595) exceeds the perimeter (24.33), this means he does have enough ribbon.

In fact, he has enough ribbon to do 2 boxes because 61.595/24.33 = 2.53 approximately and that rounds down to 2. We don't round to 3 even though we're closer to it.

w + 1 + w + 1 + w + 1 + w + 1 =

= w + w + w + w + 1 + 1 + 1 + 1 = 4w + 4 ← the end

Step-by-step explanation:

a person sent 213 copies of junk via email

each email consisted of 2 bytes

then 213×2=426

Answer:

[tex] \frac{8}{3} [/tex]

Step-by-step explanation:

[tex] - 2 \frac{1}{3} - ( - 5)[/tex]

convert mixed fraction into improper fraction.

[tex] - \frac{7}{3} + ( - 5)[/tex]

calculate the sum of the fraction:

[tex] \frac{8}{3} [/tex]

I'm going to only focus on part B

If 'a' and 'b' are rational numbers, then

where p,q,r,s are integers. Also, q and s are nonzero. In fact, this context would make sense to also have p and r to be nonzero as well.

The perimeter of this rectangle is

P = 2*(length+width)

P = 2*(a+b)

P = 2*(p/q + r/s)

P = 2*(ps/qs + qr/qs)

P = 2*( (ps+qr)/qs )

P = (2ps+2qr)/qs

P = integer/integer = some rational number

We see that the perimeter P is rational if and only if 'a' and 'b' are rational.

From this, notice that the area is

area = length*width = a*b = (p/q)*(r/s) = (pr)/(qs)

Showing that the area is also rational.

If we wanted the area to be irrational, then we'd have to have either 'a' and/or 'b' irrational; this would then make the perimeter irrational as well. This contradiction is sufficient to show that case B is not possible.

There is no way to have a rational perimeter but an irrational area.

The aspect ratio of a Television is the ratio of the width to the height of the television.

The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.

The ratio is represented as:

[tex]Width : Height = 16 : 9[/tex]

Using Pythagoras theorem, we have:

[tex](16x)^2 + (9x)^2 = 50^2[/tex]

[tex]256x^2 + 81x^2 = 2500[/tex]

[tex]337x^2 = 2500[/tex]

Divide both sides by 337

[tex]x^2 = 7.42[/tex]

Take square roots of both sides

[tex]x = \sqrt{7.42[/tex]

[tex]x = 2.72[/tex]

So, the width of the image is:

[tex]Width = 16x[/tex]

[tex]Width = 16 \times 2.72[/tex]

[tex]Width = 43.52[/tex]

The height of the image is then calculated as:

[tex]Height = 9x[/tex]

[tex]Height = 9 \times 2.72[/tex]

[tex]Height = 24.48[/tex]

The height of the image is 24.48 inches

The height of each black bar is calculated as follows:

[tex]Width : Height = 1.85 : 1[/tex]

Express as fraction

[tex]\frac{Height}{Width}= \frac{1}{1.85}[/tex]

Make Height the subject

[tex]Height = \frac{1}{1.85}\times Width[/tex]

Substitute [tex]Width = 43.52[/tex]

[tex]Height = \frac{1}{1.85}\times 43.52[/tex]

[tex]Height = 23.52[/tex]

The height of each black bar is 23.52 inches

Lastly, the percentage of the screen’s area that is occupied by the image

First, we calculate the area of the bars

[tex]A_1 = Height \times Width[/tex]

Where:

[tex]Height = 23.52[/tex] and [tex]Width = 43.52[/tex]

So:

[tex]A_1 = 23.52 \times 43.52[/tex]

[tex]A_1 = 1023.59[/tex]

Next, calculate the area of the 50-inch TV

[tex]A_2 = Height \times Width[/tex]

Where

[tex]Width = 43.52[/tex] and [tex]Height = 24.48[/tex]

So:

[tex]A_2 = 24.48 \times 43.52[/tex]

[tex]A_2 = 1065.37[/tex]

So, the percentage occupied on the screen area is:

[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]

[tex]\% Screen = \frac{1023.59}{1065.37} \times 100\%[/tex]

[tex]\% Screen = \frac{102359}{1065.37} \%[/tex]

[tex]\% Screen = 96.08 \%[/tex]

Hence, the percentage of the screen area occupied is 96.08%

Read more about aspect ratios at:

https://brainly.com/question/17231027

Answer:

domain is where the line crosses the x-axis, and range is always all real numbers

Step-by-step explanation:

Answer:

1, 2, 3, 4, 6, 12

Step-by-step explanation:

Answer:

⚪ 4: three right triangles and one acute-angled triangle.

Step-by-step explanation:

[tex].[/tex]

Answer:9/2

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

k=8÷16=0.5

s=0.5×3=1.5

Answer:

Here is your answer

Hope it helps

Answer:

(2,-6)

Step-by-step explanation:

it is above in the photo.

Answer:

2999

Step-by-step explanation:

a + 1 = 3000

=> Subtracting 1 from both sides,

=> a + 1 - 1 = 3000 - 1

=> a = 2999

Answer:

x = -22/9 or, x = -2.44 in decimal form

Step-by-step explanation:

9x = -22

/9      /9      (divide both sides by 9)

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

x = -22/9     (when converted to decimal form, you get x = -2.44)

You have to fist write it in a way you don't confuse yourself

Let the number be x

x+5=17

x=17-5

x=12

It's a step by step process

Answer:

Area = Approximately 9.293 x [tex]10^{48}[/tex]

Answer:

[tex]x=\frac{ab}{a+b}[/tex]

Step-by-step explanation:

Combine the two fractions on the right by using the common denominator ab.

[tex]\frac{1}{x}=\frac{b}{ab}+\frac{a}{ab}\\=\frac{b+a}{ab}[/tex]

If two quantities are equal, then their reciprocals are equal.

[tex]x=\frac{ab}{b+a}[/tex]

Answer:

x = [tex]\frac{ab}{b+a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{x}[/tex] = [tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex]

Multiply through by abx ( the LCM of denominators ) to clear the fractions

ab = bx + ax ← factor out x from each term on the left side

ab = x(b + a) ← divide both sides by (b + a)

[tex]\frac{ab}{b+a}[/tex] = x

Answer:

[tex]\frac{1} {144}[/tex]

Step-by-step explanation:

The probability of picking 1 watermelon is 1 out of 12.

So [tex]\frac{1}{12}[/tex] × [tex]\frac{1}{12}[/tex] = [tex]\frac{1} {144}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

0.05, 0.2, 0.48, 0.6

Hope it helps

Answer:

A

Step-by-step explanation:

0.05 < 0.2 < 0.48 < 0.6

Answer:

Not Defined

Step-by-step explanation:

Anything divided by 0 is said to be infinity or not defined.

Answer:

Profit = 20% = 360 Rs

So, Cost Price = 360 / 20 * 100 = 1800 Rs

And Sales Price = 1800 + 360 = 2160 Rs

Discount = 25% of marked price

So Sales Price = (100 - 25) % = 75 % of mark price.

=> 2160 = 75% of marked price.

=> marked price = 2160/75 * 100 = 2880 rs

Hope it helps you.

Answer:

C ( 8,-6)

Because you move the points according to the rule.

Answer:

4

BRAINLIEST, PLEASE!

Step-by-step explanation:

Multiples of 2: 2, 4, 6, 8, 10

Multiples of 4: 4, 8, 12, 16, 20